Search results for "Mathematical Foundations of Computer Science"
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Self-Organised Criticality
Giving a detailed overview of the subject, this book takes in the results and methods that have arisen since the term 'self-organised criticality' was coined twenty years ago. Providing an overview of numerical and analytical methods, from their theoretical foundation to the actual application and implementation, the book is an easy access point to important results and sophisticated methods. Starting with the famous Bak-Tang-Wiesenfeld sandpile, ten key models are carefully defined, together with their results and applications. Comprehensive tables of numerical results are collected in one volume for the first time, making the information readily accessible to readers. Written for graduate students and practising researchers in a range of disciplines, from physics and mathematics to biology, sociology, finance, medicine and engineering, the book gives a practical, hands-on approach throughout. Methods and results are applied in ways that will relate to the reader's own research.
R 4,584.10
Complex Networks
Networks constitute the backbone of complex systems, from the human brain to computer communications, transport infrastructures to online social systems and metabolic reactions to financial markets. Characterising their structure improves our understanding of the physical, biological, economic and social phenomena that shape our world. Rigorous and thorough, this textbook presents a detailed overview of the new theory and methods of network science. Covering algorithms for graph exploration, node ranking and network generation, among others, the book allows students to experiment with network models and real-world data sets, providing them with a deep understanding of the basics of network theory and its practical applications. Systems of growing complexity are examined in detail, challenging students to increase their level of skill. An engaging presentation of the important principles of network science makes this the perfect reference for researchers and undergraduate and graduate students in physics, mathematics, engineering, biology, neuroscience and the social sciences.
R 3,451.47
Complexity Science
Ecosystems, the human brain, ant colonies, and economic networks are all complex systems displaying collective behaviour, or emergence, beyond the sum of their parts. Complexity science is the systematic investigation of these emergent phenomena, and stretches across disciplines, from physics and mathematics, to biological and social sciences. This introductory textbook provides detailed coverage of this rapidly growing field, accommodating readers from a variety of backgrounds, and with varying levels of mathematical skill. Part I presents the underlying principles of complexity science, to ensure students have a solid understanding of the conceptual framework. The second part introduces the key mathematical tools central to complexity science, gradually developing the mathematical formalism, with more advanced material provided in boxes. A broad range of end of chapter problems and extended projects offer opportunities for homework assignments and student research projects, with solutions available to instructors online. Key terms are highlighted in bold and listed in a glossary for easy reference, while annotated reading lists offer the option for extended reading and research.
R 2,162.46
Geometry of Quantum States
Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.
R 4,864.59
Mathematics for Physics
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.
R 4,379.13
Crude Look At The Whole, A: A Decade Later: Insights Into Real-world Complexity That Still Resonate
In March 2013, Para Limes organized the conference A Crude look at the Whole. It turned out to be an extraordinary meeting, even more so eleven years later. During the conference the speakers, all giants on their own turf, captured the excitement about what the new field of complexity science could mean for understanding our world and molded it in approaches to extract meaning from these budding insights. Now, eleven years later, the (video's of the) talks create a thrill, that may be similar to what Newton felt when he realized that standing on the shoulders of giants allowed him to see what he saw.In this book we have tried to capture that whole, while at the same time keeping the individual parts in view. We have done so by transcribing and editing the individual presentations, adding a summary to all of them and indicating the relevance of each of the presentations to ongoing and further explorations.
R 3,481.00
Crude Look At The Whole, A: A Decade Later: Insights Into Real-world Complexity That Still Resonate
In March 2013, Para Limes organized the conference A Crude look at the Whole. It turned out to be an extraordinary meeting, even more so eleven years later. During the conference the speakers, all giants on their own turf, captured the excitement about what the new field of complexity science could mean for understanding our world and molded it in approaches to extract meaning from these budding insights. Now, eleven years later, the (video's of the) talks create a thrill, that may be similar to what Newton felt when he realized that standing on the shoulders of giants allowed him to see what he saw.In this book we have tried to capture that whole, while at the same time keeping the individual parts in view. We have done so by transcribing and editing the individual presentations, adding a summary to all of them and indicating the relevance of each of the presentations to ongoing and further explorations.
R 5,788.00
Interdisciplinarity In The Sciences: Nonlinear Dynamics, Chaos And Complexity
Based on the speech delivered by the author at the ceremony of his induction to the Royal Academy of Sciences of Spain, this book offers a general overview of the field of Nonlinear Dynamics, Chaos, and Complexity, considering historical sources and the development of ideas by pioneers in the field.Special emphasis is placed on the contributions made by physicists, including Nobel Laureates in Physics, to this field, even though they are not widely known for this work. Particular attention is given to the concept of emergence introduced by physicists, as well as the numerous applications of these ideas across various sciences, such as Mathematics, Physics, Chemistry, Biology, Geology, Physiology, Biomedical Engineering, and Medicine. Another relevant aspect is the discussion of interdisciplinarity in the sciences and how the field of Nonlinear Dynamics, Chaos, and Complexity contributes to this objective.The book concludes with a discussion on the prospects and bright future for further developments in the field. Both academics and students will find the contents useful.
R 3,315.46
Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature
The book explores several open questions in the philosophy and the foundations of statistical mechanics. Each chapter is written by a leading expert in philosophy of physics and/or mathematical physics. Here is a list of questions that are addressed in the book:
R 6,054.13
Classical Thermodynamics And Quantum Statistics: A First Introductory Course
This is a basic textbook of thermodynamics and statistical physics suitable for a one-semester upper-undergraduate course. This book is based on my lectures read four times since 2009 at Lehman College of the City University of New York. I opted for a conceptually more transparent quantum-mechanical approach to statistical physics dealing with discrete states from the very beginning. Classical statistics appears as a limiting case of quantum statistics or, in some cases, as an alternative approach at the level of a recipe, to make a comparison with the quantum approach. Elements of quantum mechanics that are needed are introduced in the text. For the sake of simplicity, only the most important building elements of thermodynamics and statistical physics are included in this small book. Still, this most important material is considered in great detail and even illustrated by numerical solutions for the magnetic systems in the mean-field approximation and for the Bose- and Fermi gases. This textbook is also suitable for graduate students and researchers who wish to recuperate the basics of thermodynamics and statistical physics before advancing to more specialized topics.
R 3,219.59
Classical Thermodynamics And Quantum Statistics: A First Introductory Course
This is a basic textbook of thermodynamics and statistical physics suitable for a one-semester upper-undergraduate course. This book is based on my lectures read four times since 2009 at Lehman College of the City University of New York. I opted for a conceptually more transparent quantum-mechanical approach to statistical physics dealing with discrete states from the very beginning. Classical statistics appears as a limiting case of quantum statistics or, in some cases, as an alternative approach at the level of a recipe, to make a comparison with the quantum approach. Elements of quantum mechanics that are needed are introduced in the text. For the sake of simplicity, only the most important building elements of thermodynamics and statistical physics are included in this small book. Still, this most important material is considered in great detail and even illustrated by numerical solutions for the magnetic systems in the mean-field approximation and for the Bose- and Fermi gases. This textbook is also suitable for graduate students and researchers who wish to recuperate the basics of thermodynamics and statistical physics before advancing to more specialized topics.
R 1,783.69
Ernst Ising's Doctoral Thesis - One Hundred Years On
The now-famous model was considered by Ernst Ising in his doctoral dissertation, as suggested by his supervisor Wilhelm Lenz. It was originally intended to explain the physical phenomenon — onset of a ferromagnetic phase — by the theory arising solely from the local interactions between elementary magnetic moments of individual atoms. The work of Lenz and Ising marked the start of a scientific direction that, over nearly 100 years, delivered extraordinary successes in explaining collective behaviour in a vast variety of systems both within and beyond the natural sciences.Today, the Ising model is of ubiquitous importance in theoretical and condensed matter physics, and is also fundamental, in its various modifications in complex system science. This model is paradigmatic as it helps to find a common language for scientists from diverse fields of knowledge, ranging from natural sciences to social sciences, economics and even humanities.The purpose of this book is to present the original German version of the dissertation (as preserved in the Library of the University of Hamburg), together with its English translation and extended commentary, especially regarding the later developments concerning the change in the microscopic basis of the model. We also present a biography of Ernst Ising, as he lived a unique life of almost a century, surviving the Nazi occupation of Europe and later returning to teaching in the USA.
R 3,324.56
Microphone In Hand: Interviews, Forewords, Reviews: Revelations From A Scientist And About A Scientist
This book offers a panoramic view of science through the perspective of Istvan Hargittai, an internationally renowned Hungarian researcher and educator in physical chemistry. He has had worldwide collaboration in molecular science, symmetry studies, and science history bridging East and West during these experiences. He has talked with hundreds of luminaries of science and mathematics, in physics, chemistry, biology, medicine, pharmacology, and materials science, among them one hundred Nobel laureates, but here, Hargittai himself was the interviewee in 23 conversations. They have appeared in the print media, radio, and television in diverse international forums. These conversations cut across political systems and geographical areas and reflect his scientific experience in European countries, the United States, and Russia spanning over 4 decades, and his life experiences over 8 decades. His scientific and writing output has included numerous books in structural chemistry, symmetry, the American and Soviet nuclear projects, James D Watson, Edward Teller, emigration, candid conversations with famous scientists, 4 great cities of science, the culture, art, and nature of scientific discovery, the traits of scientific discoverers, and the Nobel Prize. Some of the greatest scientists of our time wrote forewords to his books and commented on his writings and other achievements. Reviews of his books have appeared in Nature, Scientific American, Physics Today, Chemistry and Industry, Lancet, The Mathematical Intelligencer, and elsewhere. This volume dips into all these aspects of a scientific life and career and offers education through entertainment for a broadest possible readership interested in what science is and what and how it does.
R 2,160.51
