Essays In Linear Algebra

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
ISBN 13 : 9780980232769
Total Pages : 0 pages
Book Rating : 4.67/5 ( download)

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Download or read book Essays in Linear Algebra written by Gilbert Strang and published by Wellesley-Cambridge Press. This book was released on 2012-04-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renowned mathematician and educator Gilbert Strang presents a collection of expository papers on the theory and applications of linear algebra, accompanied by video lectures on http://ocw.mit.edu. The essays are diverse in scope and range from purely theoretical studies on deep fundamental principles of matrix algebra to discussions on the teaching of calculus and an examination of the mathematical foundations of aspects of computational engineering. One thing these essays have in common is the way that they express both the importance and the beauty of the subject, as well as the author's passion for mathematics. This text will be of practical use to students and researchers across a whole spectrum of numerate disciplines. Furthermore, this collection provides a unique perspective on mathematics and the communication thereof as a human endeavour, complemented as these essays are by commentary from the author regarding their provenance and the reaction to them.

Author : Harold M. Edwards
Publisher : Springer Nature
ISBN 13 : 303098558X
Total Pages : 325 pages
Book Rating : 4.85/5 ( download)

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Download or read book Essays in Constructive Mathematics written by Harold M. Edwards and published by Springer Nature. This book was released on 2022-09-29 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents and treatment are fresh and very different from the standard treatments Presents a fully constructive version of what it means to do algebra The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader

Author : R. Sujatha
Publisher : CRC Press
ISBN 13 : 1439876339
Total Pages : 350 pages
Book Rating : 4.36/5 ( download)

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Download or read book Math Unlimited written by R. Sujatha and published by CRC Press. This book was released on 2011-11-11 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays spans pure and applied mathematics. Readers interested in mathematical research and historical aspects of mathematics will appreciate the enlightening content of the material. Highlighting the pervasive nature of mathematics today in a host of different areas, the book also covers the spread of mathematical ideas and techniques in areas ranging from computer science to physics to biology.

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
ISBN 13 : 9781733146630
Total Pages : 368 pages
Book Rating : 4.36/5 ( download)

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Download or read book Linear Algebra for Everyone written by Gilbert Strang and published by Wellesley-Cambridge Press. This book was released on 2020-11-26 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra has become the subject to know for people in quantitative disciplines of all kinds. No longer the exclusive domain of mathematicians and engineers, it is now used everywhere there is data and everybody who works with data needs to know more. This new book from Professor Gilbert Strang, author of the acclaimed Introduction to Linear Algebra, now in its fifth edition, makes linear algebra accessible to everybody, not just those with a strong background in mathematics. It takes a more active start, beginning by finding independent columns of small matrices, leading to the key concepts of linear combinations and rank and column space. From there it passes on to the classical topics of solving linear equations, orthogonality, linear transformations and subspaces, all clearly explained with many examples and exercises. The last major topics are eigenvalues and the important singular value decomposition, illustrated with applications to differential equations and image compression. A final optional chapter explores the ideas behind deep learning.

Author : Armand Borel
Publisher : American Mathematical Soc.
ISBN 13 : 0821802887
Total Pages : 184 pages
Book Rating : 4.85/5 ( download)

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Download or read book Essays in the History of Lie Groups and Algebraic Groups written by Armand Borel and published by American Mathematical Soc.. This book was released on 2001 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic groups and Lie groups are important in most major areas of mathematics, occuring in diverse roles such as the symmetries of differential equations and as central figures in the Langlands program for number theory. In this book, Professor Borel looks at the development of the theory of Lie groups and algebraic groups, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. As the starting point of this passagefrom local to global, the author takes Lie's theory of local analytic transformation groups and Lie algebras. He then follows the globalization of the process in its two most important frameworks: (transcendental) differential geometry and algebraic geometry. Chapters II to IV are devoted to the former,Chapters V to VIII, to the latter.The essays in the first part of the book survey various proofs of the full reducibility of linear representations of $SL 2M$, the contributions H. Weyl to representation and invariant theory for Lie groups, and conclude with a chapter on E. Cartan's theory of symmetric spaces and Lie groups in the large.The second part of the book starts with Chapter V describing the development of the theory of linear algebraic groups in the 19th century. Many of the main contributions here are due to E. Study, E. Cartan, and above all, to L. Maurer. After being abandoned for nearly 50 years, the theory was revived by Chevalley and Kolchin and then further developed by many others. This is the focus of Chapter VI. The book concludes with two chapters on various aspects of the works of Chevalley on Lie groupsand algebraic groups and Kolchin on algebraic groups and the Galois theory of differential fields.The author brings a unique perspective to this study. As an important developer of some of the modern elements of both the differential geometric and the algebraic geometric sides of the theory, he has a particularly deep appreciation of the underlying mathematics. His lifelong involvement and his historical research in the subject give him a special appreciation of the story of its development.

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
ISBN 13 : 9780692196380
Total Pages : 0 pages
Book Rating : 4.82/5 ( download)

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Download or read book Linear Algebra and Learning from Data written by Gilbert Strang and published by Wellesley-Cambridge Press. This book was released on 2019-01-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. This readable yet rigorous textbook contains a complete course in the linear algebra and related mathematics that students need to know to get to grips with learning from data. Included are: the four fundamental subspaces, singular value decompositions, special matrices, large matrix computation techniques, compressed sensing, probability and statistics, optimization, the architecture of neural nets, stochastic gradient descent and backpropagation.

Author : Harold M. Edwards
Publisher : Springer Science & Business Media
ISBN 13 : 0387271309
Total Pages : 228 pages
Book Rating : 4.09/5 ( download)

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Download or read book Essays in Constructive Mathematics written by Harold M. Edwards and published by Springer Science & Business Media. This book was released on 2007-02-17 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents and treatment are fresh and very different from the standard treatments Presents a fully constructive version of what it means to do algebra The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader

Author : Gilbert Strang
Publisher :
ISBN 13 : 9780534422004
Total Pages : 487 pages
Book Rating : 4.04/5 ( download)

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Download or read book Linear Algebra and Its Applications written by Gilbert Strang and published by . This book was released on 2006 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.

Author : R.M. Goodwin
Publisher : Springer
ISBN 13 : 1349055077
Total Pages : 186 pages
Book Rating : 4.74/5 ( download)

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Download or read book Essays in Linear Economic Structures written by R.M. Goodwin and published by Springer. This book was released on 1983-06-18 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 331931338X
Total Pages : 663 pages
Book Rating : 4.82/5 ( download)

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Download or read book Essays in Mathematics and its Applications written by Themistocles M. Rassias and published by Springer. This book was released on 2016-06-14 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical systems, stability of integrable systems, algebraic and differential topology, global analysis, singularity theory and classical mechanics. A number of applications of Arnold’s groundbreaking work are presented. This publication will assist graduate students and research mathematicians in acquiring an in-depth understanding and insight into a wide domain of research of an interdisciplinary nature.