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Introduction To The Theory Of The Early Universe: Hot Big Bang Theory
This book is written from the viewpoint that a deep connection exists between cosmology and particle physics. It presents the results and ideas on both the homogeneous and isotropic Universe at the hot stage of its evolution and in later stages. The main chapters describe in a systematic and pedagogical way established facts and concepts on the early and the present Universe. The comprehensive treatment, hence, serves as a modern introduction to this rapidly developing field of science. To help in reading the chapters without having to constantly consult other texts, essential materials from General Relativity and the theory of elementary particles are collected in the appendices. Various hypotheses dealing with unsolved problems of cosmology, and often alternative to each other, are discussed at a more advanced level. These concern dark matter, dark energy, matter-antimatter asymmetry, etc.Particle physics and cosmology underwent rapid development between the first and the second editions of this book. In the second edition, many chapters and sections have been revised, and numerical values of particle physics and cosmological parameters have been updated.
R 9,320.98
Theories of Truth: An Introduction
From the Pre-Socratics to the 21st century, Theories of Truth: An Introduction provides a clear, introductory account of the major theories of truth. Starting with a defense of the importance of truth in reflection, this introduction guides readers through correspondence, coherence, deflationist and pragmatic theories to the connection between truth and rationality. Without assuming prior knowledge, it thematically introduces the key theories and explains the challenges and objections that exist as well as the links that can be made with other areas of human inquiry. Informative and critical, each chapter covers a single theory and presents a robust coverage of the debates, accessible descriptions of technicalities and an accurate account of the history. For undergraduates looking to understand the place, development and importance of truth in either epistemology specifically or philosophy in general, Theories of Truth: An Introduction offers a straightforward understanding of truth, clarifying both the history of the theories and the current debates about them.
R 4,414.00
Introduction To Digital Signal Processing: Computer Musically Speaking
This book offers an introduction to digital signal processing (DSP) with an emphasis on audio signals and computer music. It covers the mathematical foundations of DSP, important DSP theories including sampling, LTI systems, the z-transform, FIR/IIR filters, classic sound synthesis algorithms, various digital effects, topics in time and frequency-domain analysis/synthesis, and associated musical/sound examples. Whenever possible, pictures and graphics are included when presenting DSP concepts of various abstractions. To further facilitate understanding of ideas, a plethora of MATLAB® code examples are provided, allowing the reader tangible means to “connect dots” via mathematics, visuals, as well as aural feedback through synthesis and modulation of sound. This book is designed for both technically and musically inclined readers alike-folks with a common goal of exploring digital signal processing.
R 5,632.22
Introduction to Theoretical Organic Chemistry and Molecular Modelling
"Introduction to Theoretical Organic Chemistry" provides an introduction for chemists with a limited mathematical background, yet need a working understanding of quantum chemistry as applied to problems in organic chemistry. This book is unique in that it is written at the level of the advanced undergraduate or beginning graduate student in organic chemistry, whose exposure to theoretical chemistry is relatively recent. It fills a niche in that most books on theoretical organic chemistry are written by theoretical or computational chemists, whereas this book is written by an organic chemist. The book covers molecular modeling computer software, and offers a useful guide to the scope and limitations of each program, along with specific examples of input and output for several of the most popular software. Numerous examples and exercises are provided.
R 6,869.00
Introduction to Computational Models with Python
Introduction to Computational Models with Python explains how to implement computational models using the flexible and easy-to-use Python programming language. The book uses the Python programming language interpreter and several packages from the huge Python Library that improve the performance of numerical computing, such as the Numpy and Scipy modules. The Python source code and data files are available on the author’s website.The book’s five sections present: An overview of problem solving and simple Python programs, introducing the basic models and techniques for designing and implementing problem solutions, independent of software and hardware toolsProgramming principles with the Python programming language, covering basic programming concepts, data definitions, programming structures with flowcharts and pseudo-code, solving problems, and algorithmsPython lists, arrays, basic data structures, object orientation, linked lists, recursion, and running programs under LinuxImplementation of computational models with Python using Numpy, with examples and case studies The modeling of linear optimization problems, from problem formulation to implementation of computational modelsThis book introduces the principles of computational modeling as well as the approaches of multi- and interdisciplinary computing to beginners in the field. It provides the foundation for more advanced studies in scientific computing, including parallel computing using MPI, grid computing, and other methods and techniques used in high-performance computing.
R 6,704.27
Introduction to Criticism
An accessible and thorough introduction to literary theory and contemporary critical practice, this book is an essential resource for beginning students of literary criticism. Covers traditional approaches such as formalism and structuralism, as well as more recent developments in criticism such as evolutionary theory, cognitive studies, ethical criticism, and ecocriticismOffers explanations of key works and major ideas in literary criticism and suggests key elements to look for in a literary textAlso applies critical approaches to various examples from film studiesHelps students to build a critical framework and write analytically
R 1,382.00
Concise Introduction to Pure Mathematics
Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions.New to the Fourth EditionTwo new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applicationsNew material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered onesThrough careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.
R 2,290.27
Introduction to Piecewise-Linear Topology
The first five chapters of this book form an introductory course in piece wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.
R 5,353.28
Introduction to Relativistic Processes and the Standard Model of Electroweak Interactions
This book offers a self-contained introduction to the theory of electroweak interactions based on the semi-classical approach to relativistic quantum field theory, with thorough discussion of key aspects of the field. The basic tools for the calculation of cross sections and decay rates in the context of relativistic quantum field theory are reviewed in a short, but complete and rigorous, presentation. Special attention is focused on relativistic scattering theory and on calculation of amplitude in the semi-classical approximation. The central part of the book is devoted to an illustration of the unified field theory of electromagnetic and weak interactions as a quantum field theory with spontaneously broken gauge invariance; particular emphasis is placed on experimental confirmations of the theory. The closing chapters address the most recent developments in electroweak phenomenology and provide an introduction to the theory and phenomenology of neutrino oscillations. In this 2nd edition the discussion of relativistic scattering processes in the semi-classical approximation has been revised and as a result intermediate results are now explicitly proven. Furthermore, the recent discovery of the Higgs boson is now taken into account throughout the book. In particular, the Higgs decay channel into a pair of photons, which has played a crucial role in the discovery, is discussed.As in the first edition, the accent is still on the semi-classical approximation. However, in view of the necessity of a discussion of H !, the authors give several indications about corrections to the semiclassical approximation. Violation of unitarity is discussed in more detail, including the dispersion relations as a tool for computing loop corrections; the above-mentioned Higgs decay channel is illustrated by means of a full one-loop calculation; and finally, loop effects on the production of unstable particles (such as the Z0 boson) are now discussed. Finally, the neutrino mass and oscillation analysis is updated taking into account the major achievements of the last years.
R 2,540.71
Introduction to Human Communication
Introduction to Human Communication shows how central effective communication is to shared meaning making, identity construction and maintenance, and responsible interaction with the world. In an inviting and engaging style, Beauchamp and Baran provide the most current and complete survey of the discipline. They cover the basics of communication theory and research with vivid examples while providing practical tools to help students become more thoughtful, confident, and ethical communicators. This text demonstrates the relevance of communication to our everyday lives and invites students to apply what they learn in a broad variety of contexts--including mass communication, organizational communication, health communication, social media, and media literacy.
R 4,296.00
Introduction To Elasticity Theory For Crystal Defects
The book presents a unified and self-sufficient and reader-friendly introduction to the anisotropic elasticity theory necessary to model a wide range of point, line, planar and volume type crystal defects (e.g., vacancies, dislocations, interfaces, inhomogeneities and inclusions).The necessary elasticity theory is first developed along with basic methods for obtaining solutions. This is followed by a detailed treatment of each defect type. Included are analyses of their elastic fields and energies, their interactions with imposed stresses and image stresses, and the interactions that occur between them, all employing the basic methods introduced earlier.All results are derived in full with intermediate steps shown, and 'it can be shown' is avoided. A particular effort is made to describe and compare different methods of solving important problems. Numerous exercises (with solutions) are provided to strengthen the reader's understanding and extend the immediate text.In the 2nd edition an additional chapter has been added which treats the important topic of the self-forces that are experienced by defects that are extended in more than one dimension. A considerable number of exercises have been added which expand the scope of the book and furnish further insights. Numerous sections of the book have been rewritten to provide additional clarity and scope.The major aim of the book is to provide, in one place, a unique and complete introduction to the anisotropic theory of elasticity for defects written in a manner suitable for both students and professionals.
R 3,758.06
Introduction to Statistical Modelling and Inference
The complexity of large-scale data sets (“Big Data”) has stimulated the development of advanced computational methods for analysing them. There are two different kinds of methods to aid this. The model-based method uses probability models and likelihood and Bayesian theory, while the model-free method does not require a probability model, likelihood or Bayesian theory. These two approaches are based on different philosophical principles of probability theory, espoused by the famous statisticians Ronald Fisher and Jerzy Neyman.Introduction to Statistical Modelling and Inference covers simple experimental and survey designs, and probability models up to and including generalised linear (regression) models and some extensions of these, including finite mixtures. A wide range of examples from different application fields are also discussed and analysed. No special software is used, beyond that needed for maximum likelihood analysis of generalised linear models. Students are expected to have a basic mathematical background in algebra, coordinate geometry and calculus.Features• Probability models are developed from the shape of the sample empirical cumulative distribution function (cdf) or a transformation of it.• Bounds for the value of the population cumulative distribution function are obtained from the Beta distribution at each point of the empirical cdf.• Bayes’s theorem is developed from the properties of the screening test for a rare condition.• The multinomial distribution provides an always-true model for any randomly sampled data.• The model-free bootstrap method for finding the precision of a sample estimate has a model-based parallel – the Bayesian bootstrap – based on the always-true multinomial distribution.• The Bayesian posterior distributions of model parameters can be obtained from the maximum likelihood analysis of the model.This book is aimed at students in a wide range of disciplines including Data Science. The book is based on the model-based theory, used widely by scientists in many fields, and compares it, in less detail, with the model-free theory, popular in computer science, machine learning and official survey analysis. The development of the model-based theory is accelerated by recent developmentsin Bayesian analysis.
R 5,165.00
Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods
This new version of a classic updates much of the material in earlier editions, including the first chapter, on the history of the field. Important modifications reflect major discoveries of the past decades. A historical perspective is maintained throughout. The reader is drawn into the process of discovery: starting with a phenomenon, finding plausible explanations and competing theories — and finally, the solution.The theory of magnetism is practically a metaphor for theoretical physics. The very first quantum many-body theory (Bethe's ansatz) was devised for magnetic chains, just as mean-field theory was invented a century ago by Weiss to explain Curie's Law.The first two chapters of this book are immensely readable, taking us from prehistory to the “spin valves” of the most recent past. Topics in subsequent chapters include: angular momenta and spin (Chapter 3), quantum theory of simple systems, followed by increasingly technical insights into ordered and random systems, thermal fluctuations, phase transitions, chaos and the like. Contemporary developments in nanotechnology now seek to take advantage of the electron's spin as well as of its charge. The time is not far off when nano-circuits made entirely of silicon exhibit such many-body properties as superconductivity or ferromagnetism — without any superconducting materials or magnetic ions being present. The reader of this book will be prepared for such exotic twenty-first century applications.Daniel C Mattis, BS, MS, PhD, Fellow of the American Physical Society (APS), is a frequent lecturer at research institutions and the author of several textbooks and numerous research articles. His expertise includes many-body theory, electrical conductivity, quantum theory of magnetism and most recently, nanotechnology. Prof. Mattis is on the editorial panel for high-temperature superconductivity of the International Journal of Modern Physics B and Modern Physics Letters B, both published by World Scientific. Currently serving as Professor in the Physics department at the University of Utah in Salt Lake City, Utah, USA, at various times he has been visiting Professor at Yale University (New Haven), State University of New York (Buffalo), Temple University (Philadelphia), and served as “Wei-Lun Visiting Professor” at the Chinese University of Hong Kong. A founding member of the “Few-Body Physics” section of the APS, he has also served as Chair of the standing committee of the APS for the “International Freedom of Scientists.”
R 5,385.00
Equidistribution in Number Theory, An Introduction
This set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of L-functions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos.The volume brings together leading researchers from a range of fields who reveal fascinating links between seemingly disparate areas.
R 10,861.62
Introduction to Quantum Optics and Quantum Fluctuations
This is an introduction to the quantum theory of light and its broad implications and applications. A significant part of the book covers material with direct relevance to current basic and applied research, such as quantum fluctuations and their role in laser physics and the theory of forces between macroscopic bodies (Casimir effects). The book includes numerous historical sidelights throughout, and approximately seventy exercises. The book provides detailed expositions of the theory with emphasis on general physical principles. Foundational topics in classical and quantum electrodynamics are addressed in the first half of the book, including the semiclassical theory of atom-field interactions, the quantization of the electromagnetic field in dispersive and dissipative media, uncertainty relations, and spontaneous emission. The second half begins with a chapter on the Jaynes-Cummings model, dressed states, and somedistinctly quantum-mechanical features of atom-field interactions, and includes discussion of entanglement, the no-cloning theorem, von Neumann's proof concerning hidden variable theories, Bell's theorem, and tests of Bell inequalities. The last two chapters focus on quantum fluctuations andfluctuation-dissipation relations, beginning with Brownian motion, the Fokker-Planck equation, and classical and quantum Langevin equations. Detailed calculations are presented for the laser linewidth, spontaneous emission noise, photon statistics of linear amplifiers and attenuators, and other phenomena. Van der Waals interactions, Casimir forces, the Lifshitz theory of molecular forces between macroscopic media, and the many-body theory of such forces based on dyadic Green functions areanalyzed from the perspective of Langevin noise, vacuum field fluctuations, and zero-point energy.
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Combinatorics, Modeling, Elementary Number Theory: From Basic To Advanced
This book is mostly based on the author's 25 years of teaching combinatorics to two distinct sets of students: first-year students and seniors from all backgrounds, not just limited to only those majoring in mathematics and physics. The prerequisites are kept to a minimum; essentially, only high school algebra is required. The design is to go from zero knowledge to advanced themes and various applications during a semester of three or three and a half months with quite a few topics intended for research projects and additional reading.This unique book features the key themes of classical introductory combinatorics, modeling (mainly linear), and elementary number theory with a constant focus on applications in statistics, physics, biology, economics, and computer science. These applications include dimers, random walks, binomial and Poisson distributions, games of chance (lottery, dice, poker, roulette), pricing options, population growth, tree growth, modeling epidemic spread, invasion ecology, fission reactors, and networks.A lot of material is provided in the form of relatively self-contained problems, about 135, and exercises, about 270, which are almost always with hints and answers. A systematic introduction to number theory (with complete justifications) is a significant part of the book, including finite fields, Pell's equations, continued fractions, quadratic reciprocity, the Frobenius coin problem, Pisano periods, applications to magic and Latin squares and elements of cryptography. The recurrence relations and modeling play a very significant role, including the usage of Bessel functions for motivated readers. The book contains a lot of history of mathematics and recreational mathematics.
R 4,360.00
Introduction to Marriage and Family Therapy
Now in its second edition, this text introduces readers to the rich history and practice of Marriage and Family Therapy, with 32 professionals from across the US presenting their knowledge in their areas of expertise. This blend of approaches and styles gives this text a unique voice and makes it a comprehensive resource for graduate students taking their first course in Marriage and Family Therapy. The book is divided into three sections:Part 1 focuses on the components on which 21st century family therapy is based and summarizes the most recent changes made to not only therapeutic interventions, but to the very concept of “family.”Part 2 presents an overview of the 7 major theoretical models of the field: structural, strategic, Milan, social constructionist, experiential, transgenerational, and cognitive-behavioral family therapy. Each chapter in this section • Focuses on the founder of the theory, its theoretical tenants, and its key techniques • Shows how the model focuses on diversity • Presents the research that supports the approachPart 3 addresses specific treatment areas that are common to marriage and family therapists, such as sex therapy, pre-marital therapy, research, and ethics and legal issues.As an introduction to the field of Marriage and Family Therapy, this volume stands above the rest. Not only will readers gain an understanding of the rich history of the field and its techniques, but they will also see a complete picture of the context in which families are embedded, such as gender, culture, spirituality, and sexual orientation. This knowledge is the key to understanding what differentiates Marriage and Family Therapy from individual psychotherapy. Glossaries, case studies, tables, figures, and appendices appear generously throughout the text to present this information and give students a thorough overview to prepare them for their professional lives.
R 3,921.89
Equidistribution in Number Theory, An Introduction
This set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of L-functions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos.The volume brings together leading researchers from a range of fields who reveal fascinating links between seemingly disparate areas.
R 10,321.92
Introduction to Social Systems Engineering
This book integrates the basic theories (GST and Parson’s AGIL framework), applying them to the components of social systems, state-run and business firms. China’s development experience offers a valuable case study that can provide readers deeper insights into this comparatively young discipline, and into China. Though the discipline of systems engineering and its application to hardware engineering system are well established, social systems engineering is an emerging discipline still being explored. This book may be the first English-language publication on this promising subject.
R 6,023.37
Introduction to Diagnosis of Active Systems
This book is an up-to-date self-contained compendium of the research carried out by the authors on model-based diagnosis of a class of discrete-event systems called active systems. After defining the diagnosis problem, the book copes with a variety of reasoning mechanisms that generate the diagnosis, possibly within a monitoring setting. The book is structured into twelve chapters, each of which has its own introduction and concludes with bibliographic notes and itemized summaries. Concepts and techniques are presented with the help of numerous examples, figures, and tables, and when appropriate these concepts are formalized into propositions and theorems, while detailed algorithms are expressed in pseudocode. This work is primarily intended for researchers, professionals, and graduate students in the fields of artificial intelligence and control theory.
R 4,284.12
Introduction to Econometric Theory
Intended primarily to prepare first-year graduate students for their ongoing work in econometrics, economic theory, and finance, this innovative book presents the fundamental concepts of theoretical econometrics, from measure-theoretic probability to statistics. A. Ronald Gallant covers these topics at an introductory level and develops the ideas to the point where they can be applied. He thereby provides the reader not only with a basic grasp of the key empirical tools but with sound intuition as well. In addition to covering the basic tools of empirical work in economics and finance, Gallant devotes particular attention to motivating ideas and presenting them as the solution to practical problems. For example, he presents correlation, regression, and conditional expectation as a means of obtaining the best approximation of one random variable by some function of another. He considers linear, polynomial, and unrestricted functions, and leads the reader to the notion of conditioning on a sigma-algebra as a means for finding the unrestricted solution. The reader thus gains an understanding of the relationships among linear, polynomial, and unrestricted solutions.Proofs of results are presented when the proof itself aids understanding or when the proof technique has practical value. A major text-treatise by one of the leading scholars in this field, An Introduction to Econometric Theory will prove valuable not only to graduate students but also to all economists, statisticians, and finance professionals interested in the ideas and implications of theoretical econometrics.
R 4,729.83
Introduction to Singularities
This book is an introduction to singularities for graduate students and researchers.Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dimensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied. In the second edition, brief descriptions about recent remarkable developments of the researches are added as the last chapter.
R 2,759.38
R 912.00
Introduction to Random Processes
Today, the theory of random processes represents a large field of mathematics with many different branches, and the task of choosing topics for a brief introduction to this theory is far from being simple. This introduction to the theory of random processes uses mathematical models that are simple, but have some importance for applications. We consider different processes, whose development in time depends on some random factors. The fundamental problem can be briefly circumscribed in the following way: given some relatively simple characteristics of a process, compute the probability of another event which may be very complicated; or estimate a random variable which is related to the behaviour of the process. The models that we consider are chosen in such a way that it is possible to discuss the different methods of the theory of random processes by referring to these models. The book starts with a treatment of homogeneous Markov processes with a countable number of states. The main topic is the ergodic theorem, the method of Kolmogorov's differential equations (Secs. 1-4) and the Brownian motion process, the connecting link being the transition from Kolmogorov's differential-difference equations for random walk to a limit diffusion equation (Sec. 5).
R 1,528.90
Introduction to Algebraic and Constructive Quantum Field Theory
The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student.A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
R 6,684.94
Introduction to Piecewise Smooth Dynamics
This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.
R 1,099.00
Introduction to Topology
Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysis.
R 1,584.45
Introduction to Applied Nonlinear Dynamical Systems and Chaos
This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms.From the reviews:"Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik
R 2,859.91
Introduction to Algebraic Topology
A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.
R 3,342.01
Introduction to Modeling and Analysis of Stochastic Systems
This book provides a self-contained review of all the relevant topics in probability theory. A software package called MAXIM, which runs on MATLAB, is made available for downloading. Vidyadhar G. Kulkarni is Professor of Operations Research at the University of North Carolina at Chapel Hill.
R 3,042.62
Introduction to Existentialism
This textbook introduces you to existentialist philosophical theory and its cultural influence. The first part of the book offers an introductory overview of the 19th century historical roots of existentialist thought and chapters on all the key players: Kierkegaard, Nietzsche, Heidegger, Sartre, de Beauvoir, and Camus. The second part presents a thematic approach, with chapters on Christian and Jewish existentialism, existentialism in America, existential psychology and existentialism in the cinema. Ideal for undergraduate and classroom use, this engaging and accessible textbook includes pedagogical features, such as study questions, chapter summaries, key definitions and further reading.
R 3,825.00
Introduction to the Theory of Singular Integral Operators with Shift
problem (0. 2) was the same u that of problem (0. 1). Incidentally, later on Mandzhavidze and Khvedclidze (I) and Simonenko (I) achieved a direct reduction of problem (0. 2) to problem (0. 1) with the help of conformal mappings. Apparenlly, the first paper in which SIES were considered was the paper by Vekua (2) published in 1948. Vekua verified that the equation (0. 3) where (1; C(f), 5 is the operator of 'ingular integration with a Cauchy kernel (Srp)(!) " (". i)-I fr(T - t)-lrp(T)dT, W is the shift operator (WrpHt) = rp{a(t", in the case 01 = - (13,0, = 0. , could be reduced to problem (0. 2). We note thai, in problem (0. 2), the shift ott) need not be a Carlemao shift, . ei. , it is oot necessary that a . . (t) :::: t for some integer 11 ~ 2, where ai(l) " o(okdt)), 0(1(1) ::::!. For the first time, the condition 0,(1) == 1 appeared in BPAFS theory in connection with the study of the problem (0. 4) by Carle man (2) who, in particular, showed that problem (0. 4) Wall a natural generalization of the problem on the existence of an a. utomorphic function belonging to a certain group of Fucs.Thus, the paper by Vckua (2) is also the fint paper in which a singular integral equation with a non*Carieman 5hifl is on c sidered.
R 1,556.81
Introduction to the Formal Design of Real-Time Systems
but when we state that A 'equals' B , as well having to know what we mean by A and B we also have know what we mean by 'equals'. This section explores the role of observers; how different types of observ er see different things as being equal, and how we can produce algo rithms to decide on such equalities. It also explores how we go about writing specifications to which we may compare our SCCS designs. • The final section is the one which the students like best. Once enough of SCCS is grasped to decide upon the component parts of a design, the 'turning the handle' steps of composition and check ing that the design meets its specification are both error-prone and tedious. This section introduces the concurrency work bench, which shoulders most of the burden. How you use the book is up to you; I'm not even going to suggest path ways. Individual readers know what knowledge they seek, and course leaders know which concepts they are trying to impart and in what order.
R 1,585.18
Introduction to the Mechanical Properties of Solid Polymers
Provides a comprehensive introduction to the mechanical behaviour of solid polymers. Extensively revised and updated throughout, the second edition now includes new material on mechanical relaxations and anisotropy, composites modelling, non-linear viscoelasticity, yield behaviour and fracture of tough polymers. The accessible approach of the book has been retained with each chapter designed to be self contained and the theory and applications of the subject carefully introduced where appropriate. The latest developments in the field are included alongside worked examples, mathematical appendices and an extensive reference. * Fully revised and updated throughout to include all the latest developments in the field * Worked examples at the end of the chapter * An invaluable resource for students of materials science, chemistry, physics or engineering studying polymer science
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Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
Chapter 1 The algebraic prerequisites for the book are covered here and in the appendix. This chapter should be used as reference material and should be consulted as needed. A systematic treatment of algebras, coalgebras, bialgebras, Hopf algebras, and represen tations of these objects to the extent needed for the book is given. The material here not specifically cited can be found for the most part in [Sweedler, 1969] in one form or another, with a few exceptions. A great deal of emphasis is placed on the coalgebra which is the dual of n x n matrices over a field. This is the most basic example of a coalgebra for our purposes and is at the heart of most algebraic constructions described in this book. We have found pointed bialgebras useful in connection with solving the quantum Yang-Baxter equation. For this reason we develop their theory in some detail. The class of examples described in Chapter 6 in connection with the quantum double consists of pointed Hopf algebras. We note the quantized enveloping algebras described Hopf algebras. Thus for many reasons pointed bialgebras are elsewhere are pointed of fundamental interest in the study of the quantum Yang-Baxter equation and objects quantum groups.
R 1,560.21
Critical Introduction to Queer Theory
Explores the ways in which sexuality, subjectivity and sociality have been discursively produced in various historical and cultural contexts The book begins by putting gay and lesbian sexuality and politics in historical context and demonstrates how and why queer theory emerged in the West in the late twentieth century. Sullivan goes on to provide a detailed overview of the complex ways in which queer theory has been employed, covering a diversity of key topics including: race, sadomasochism, straight sex, fetishism, community, popular culture, transgender, and performativity. Each chapter focuses on a distinct issue or topic, provides a critical analysis of the specific ways in which it has been responded to by critics (including Freud, Foucault, Derrida, Judith Butler, Jean-Luc Nancy, Adrienne Rich and Laura Mulvey), introduces key terms, and uses contemporary cinematic texts as examples.
R 1,393.00
Social Movements and Social Change: An Applied Introduction
How do you make social movements matter in the classroom? This book moves beyond a purely theoretical approach, responding to the need to put students in the centre of the action. The 10 chapters follow the lifecycle of a social movement, and are enriched by bullet points, case studies, critical thinking questions, and interactive activities ready for use in seminars and workshops.Readers will encounter:Foundational and cutting-edge social movement theories such as resource mobilization, repertoires of contention, and direct social action;Global case studies including Arab Spring, the South African anti-apartheid movement, and the Palestinian March of Return;Unique ‘movement-building’ and ′movement-exploring′ activities which prompt students to think like activists;A focus on traditionally overlooked areas of social movement studies, like burnout, gendered division of labour, and prefiguration.This book is perfect for undergraduate and postgraduate students across a range of disciplines including sociology, politics, organizational studies, and social psychology. The book is also a valuable resource for academics and activists interested in the subjects of social and political movements and protest.
R 1,496.00
