Search results for "�lgebra Lineal para la Actividad Docente"
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Álgebra Linear
O objetivo deste livro é o de fornecer as primeiras ferramentas matemáticas associadas à Álgebra Linear. O texto foi elaborado por um matemático que procurou "sair do seu personagem" para vir ao encontro de um público amplo. O desafio é o de tornar acessível a todos, os primeiros fundamentos e as primeiras técnicas de um saber fundamental para a ciência e a tecnologia. Com esse intuito, o autor escolheu escrevê-lo em um estilo não tradicional e o enriqueceu não somente com exercícios, mas também com frases de auto-referência, aforismos, citações, palíndromos e problemas para serem resolvidos com a ajuda do computador. O livro é para todos, mas tem uma dedicação especial aos estudantes dos cursos de graduação em disciplinas científicas e aos professores cujo texto poderá ser útil também como material de consulta.
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Algebra Lineal I - Esquemas De Teoria Y Problemas Resueltos
(Also in English version, you can consult it at http://stores.lulu.com/mercedesorus) Algebra Lineal I, es un libro que esta pensado para alumnos universitarios de cualquier carrera universitaria, de la rama cientifica. En el encontraras teoria a modo de resumenes, y problemas resueltos, de los siguientes temas: Matrices, Resolucion de Sistemas de Ecuaciones, Espacios Vectoriales, Aplicaciones Lineales, Diagonalizacion de endomorfismos, y Formas Bilineales y Cuadraticas. Como profesora de Algebra, Calculo, Estadistica, etc, de alumnos universitarios, y a raiz de ver las necesidades que tienen algunos de mis alumnos, nacio en mi mente, la idea de recopilar el material que ya tenia, y que yo misma utilizo en mis clases, para la creacion de este libro. Libro que pretende ser practico, libro que pretende ser una guia para el alumno, libro que pretende acercarse al alumno, y "hablarle" utilizando un lenguaje sencillo, con el que se sienta comodo.
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Lineare Algebra
Der vorliegende Band behandelt die fiir das Studium und die spätere Unterrichtstätig keit der Lehrer an Grund-, Haupt- und Realschulen wesentlichen Themen aus dem Be reich der Linearen Algebra. Entsprechend der Zielsetzung der Reihe Mathematik flir die Lehrerausbildung haben die Verfasser auf eine relativ breite Darstellung Wert gelegt, die insbesondere durch die Dreiteilung der einzelnen Abschnitte in einen motivierenden Teil A, einen methodisch systematischen Teil B und einen praxisorientierten Teil C dem Leser den Zugang zu diesem Gebiet erleichtert. Ein erster überblickartiger Zugang zu dem jeweiligen Problemkreis wird dem Leser in den A-Teilen eröffnet. In besonders einfacher und durchsichtiger Form werden die einzelnen Probleme umrissen, Querverbindungen aufgezeigt und erste Hinweise zur Lösung gegeben. Die in den A-Teilen angeschnittenen Fragen werden in den B-Teilen exakt formuliert und systematisch gelöst. In den C-Teilen knüpfen die Verfasser an die Überlegungen aus den A-Teilen an, um dann Wege zur Übersetzung des methodisch-systematischen Teiles in die Schulpraxis aufzuzeigen. Bei der Darstellung wird ferner darauf geachtet, daß der Vektorraumbegriff als eine grundlegende mathematische Struktur bei der Behandlung von linearen Gleichungs systemen und linearen Abbildungen besonders hervortritt, um hierdurch die inneren Zusammenhänge hervorzuheben und das Verständnis zu fördern. Im Hinblick auf die Anwendungen wird neben den üblichen Themen insbesondere der Problemkreis Lineare Optimierung behandelt.· Der erste Abschnitt enthält die grundlegenden Begriffe und Sätze über den Vektorraum, die am Beispiel eines vierdimensionalen Einkaufsvektorraurns veranschaulicht werden.
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Linear Algebra with Applications, Global Edition
This book is for junior/senior-level first courses in linear algebra and assumes calculus as a prerequisite. This thorough and accessible text, from one of the leading figures in the use of technology in linear algebra, gives students a challenging and broad understanding of the subject. The author infuses key concepts with their modern practical applications to offer students examples of how mathematics is used in the real world. Each chapter contains integrated worked examples and chapter tests. The book stresses the important roles geometry and visualisation play in understanding linear algebra.
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Exploring Linear Algebra
This text focuses on the primary topics in a first course in Linear Algebra. The author includes additional advanced topics related to data analysis, singular value decomposition, and connections to differential equations. This is a lab text that would lead a class through Linear Algebra using Mathematica® demonstrations and Mathematica® coding.The book includes interesting examples embedded in the projects. Examples include the discussions of “Lights Out”, Nim, the Hill Cipher, and a variety of relevant data science projects.The 2nd Edition contains:Additional Theorems and Problems for students to prove/disprove (these act as theory exercises at the end of most sections of the text)Additional sections that support Data Analytics techniques, such as Kronecker sums and products, and LU decomposition of the Vandermonde matrixUpdated and expanded end-of-chapter projectsInstructors and students alike have enjoyed this popular book, as it offers the opportunity to add Mathematica® to the Linear Algebra course.I would definitely use the book (specifically the projects at the end of each section) to motivate undergraduate research.—Nick Luke, North Carolina A&T State University.
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Elementary Linear Algebra with Applications
This text offers a unique balance of theory and a variety of standard and new applications along with solved technology-aided problems. The book includes the fundamental mathematical theory, as well as a wide range of applications, numerical methods, projects, and technology-assisted problems and solutions in Maple, Mathematica, and MATLAB. Some of the applications are new, some are unique, and some are discussed in an essay. There is a variety of exercises which include True/False questions, questions that require proofs, and questions that require computations. The goal is to provide the student with is a solid foundation of the mathematical theory and an appreciation of some of the important real-life applications. Emphasis is given on geometry, matrix transformations, orthogonality, and least-squares. Designed for maximum flexibility, it is written for a one-semester/two semester course at the sophomore or junior level for students of mathematics or science.
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Exploring Linear Algebra
This text focuses on the primary topics in a first course in Linear Algebra. The author includes additional advanced topics related to data analysis, singular value decomposition, and connections to differential equations. This is a lab text that would lead a class through Linear Algebra using Mathematica® demonstrations and Mathematica® coding.The book includes interesting examples embedded in the projects. Examples include the discussions of “Lights Out”, Nim, the Hill Cipher, and a variety of relevant data science projects.The 2nd Edition contains:Additional Theorems and Problems for students to prove/disprove (these act as theory exercises at the end of most sections of the text)Additional sections that support Data Analytics techniques, such as Kronecker sums and products, and LU decomposition of the Vandermonde matrixUpdated and expanded end-of-chapter projectsInstructors and students alike have enjoyed this popular book, as it offers the opportunity to add Mathematica® to the Linear Algebra course.I would definitely use the book (specifically the projects at the end of each section) to motivate undergraduate research.—Nick Luke, North Carolina A&T State University.
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On the Teaching of Linear Algebra
This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It provides university teachers in charge of linear algebra courses with a wide range of information from works including theoretical and experimental issues.
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Introduction to Applied Linear Algebra
This groundbreaking textbook combines straightforward explanations with a wealth of practical examples to offer an innovative approach to teaching linear algebra. Requiring no prior knowledge of the subject, it covers the aspects of linear algebra - vectors, matrices, and least squares - that are needed for engineering applications, discussing examples across data science, machine learning and artificial intelligence, signal and image processing, tomography, navigation, control, and finance. The numerous practical exercises throughout allow students to test their understanding and translate their knowledge into solving real-world problems, with lecture slides, additional computational exercises in Julia and MATLAB®, and data sets accompanying the book online. Suitable for both one-semester and one-quarter courses, as well as self-study, this self-contained text provides beginning students with the foundation they need to progress to more advanced study.
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Linear Algebra with Mathematica
Linear Algebra: An Introduction With Mathematica uses a matrix-based presentation and covers the standard topics any mathematician will need to understand linear algebra while using Mathematica. Development of analytical and computational skills is emphasized, and worked examples provide step-by-step methods for solving basic problems using Mathematica. The subject's rich pertinence to problem solving across disciplines is illustrated with applications in engineering, the natural sciences, computer animation, and statistics.
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Oxford Linear Algebra for Scientists
This textbook provides a modern introduction to linear algebra, a mathematical discipline every first year undergraduate student in physics and engineering must learn. A rigorous introduction into the mathematics is combined with many examples, solved problems, and exercises as well as scientific applications of linear algebra. These include applications to contemporary topics such as internet search, artificial intelligence, neural networks, and quantum computing,as well as a number of more advanced topics, such as Jordan normal form, singular value decomposition, and tensors, which will make it a useful reference for a more experienced practitioner. Structured into 27 chapters, it is designed as a basis for a lecture course and combines a rigorous mathematical development of the subject with a range of concisely presented scientific applications. The main text contains many examples and solved problems to help the reader develop a working knowledge of the subject and every chapter comes with exercises.
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Practice Makes Perfect Linear Algebra
Expert instruction and plenty of practice to reinforce advanced math skillsPresents concepts with application to natural sciences, engineering, economics, computer science, and other branches of mathematicsComplementary to most linear algebra courses or as a refresher textMore than 500 exercises and answersHundreds of solved problemsThe Practice Makes Perfect series has sold more than 1 million copies worldwide
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Linear Algebra: Volume 2
This book is a readable introduction to linear algebra, starting at an elementary level. It is intended to be useful both for students of pure mathematics who may subsequently pursue more advanced study in this area and for students who require linear algebra and its applications in other subjects. Throughout, stress is placed on applications of the subject in preference to more theoretical aspects. The book has worked examples on every left-hand page concurrently with the text on the right-hand page, which allows the reader to follow the text uninterrupted. The book is intended to be worked through and learned from, and contains numerous exercises with solutions.
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Linear Algebra for the 21st Century
Customarily, much of traditional mathematics curricula was predicated on 'by hand' calculation. However, ubiquitous computing requires us to refresh what we teach and how it is taught. This is especially true in the rapidly broadening fields of Data Mining and Artificial Intelligence, and also in fields such as Bioinformatics, which all require the use of Singular Value Decomposition (SVD). Indeed, SVD is sometimes called the jewel in the crown of linear algebra.Linear Algebra for 21st Century Applications adapts linear algebra to best suit modern teaching and application, and it places the SVD as central to the text early on to empower science and engineering students to learn and use potent practical and theoretical techniques. No rigour is lost in this new route as the text demonstrates that most theory is better proved with an SVD.In addition to this, there is earlier introduction, development, and emphasis on orthogonality that is vital in so many applied disciplines throughout science, engineering, computing and increasingly within the social sciences.To assimilate the so-called third arm of science, namely computing, Matlab/Octave computation is explicitly integrated into developing the mathematical concepts and applications. A strong graphical emphasis takes advantage of the power of visualisation in the human brain and examples are included to exhibit modern applications of linear algebra, such as GPS, text mining, and image processing. Active learning is encouraged with exercises throughout that are aimed to enhance ectures, quizzes,or 'flipped' teaching.
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Elementary Linear Algebra, Application Version, International Adaptation, Revised Edition
Elementary Linear Algebra: Applications Version, 12th Edition, gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. In this edition, a new section has been added to describe the applications of linear algebra in emerging fields such as data science, machine learning, climate science, geomatics, and biological modeling. New exercises have been added with special attention to the expanded early introduction to linear transformations and new examples have been added, where needed, to support the exercise sets. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
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Linear Algebra
In the spirit of the author’s Basic Language of Mathematics, this companion volume is a careful exposition of the concepts and processes of Linear Algebra. It stresses cautious and clear explanations, avoiding reliance on co-ordinates as much as possible, and with special, but not exclusive, attention to the finite-dimensional situation. It is intended to also serve as a conceptual and technical background for use in geometry and analysis as well as other applications.
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Exercises In Linear Algebra
This is a book of exercises in Linear Algebra. Through a systematic detailed discussion of 200 solved exercises, important concepts and topics are reviewed. The student is led to make a systematic review of topics from the basics to more advanced material, with emphasis on points that often cause the greatest difficulties. The solved exercises are followed by an additional 200 proposed exercises (with answers), thus guiding the student to a systematic consolidation of all topics.The contents follow closely the majority of the introductory courses of Linear Algebra. We consider in particular systems of linear equations, matrices, determinants, vector spaces, linear transformations, inner products, norms, eigenvalues and eigenvectors. The variety of exercises allows the adjustment to different levels in each topic.
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