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ISBN: 9780387909929

ID: 1184073

This book is a revised and up-dated fourth edition of a textbook designed for upper division courses in linear algebra. It includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. While it does not presuppose an earlier course, many connections between linear algebra and calculus are worked into the discussion, making it best suited for students who have completed the calculus sequence. A special feature of the book is the inclusion of sections devoted to applications of linear algebra, which can either be part of a course, or used for independent study. The topics covered in these sections are the geometric interpretation of systems of linear equations, the classification of finite symmetry groups in two and three dimensions, the exponential of a matrix and its application to solving systems of first order linear differential equations with constant coefficients, and Hurwitz's theorem on the composition of quadratic forms. This revised fourth edition contains a new section on analytic methods in matrix theory, with applications to Markov chains in probability theory. Proofs of all the main theorems are included, and are presented on an equal footing with methods for solving numerical problems. Worked examples are included in almost every section, to bring out the meaning of the theorems, and to illustrate techniques for solving problems. Many numerical exercises are included, which use all the ideas, and develop computational skills. There are also exercises of a theoretical nature, which provide opportunities for students to discover interesting things for themselves. Linear Algebra: An Introductory Approach Curtis, Charles W., Springer

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ISBN: 0387909923

ID: 4293422

Linear algebra is the branch of mathematics that has grown from a care ful study of the problem of solving systems of linear equations. The ideas that developed in this way have become part of the language of much of higher mathematics. They also provide a framework for appli cations of linear algebra to many problems in mathematics, the natural sciences, economics, and computer science. This book is the revised fourth edition of a textbook designed for upper division courses in linear algebra. While it does not presuppose an earlier course, many connections between linear algebra and under graduate analysis are worked into the discussion, making it best suited for students who have completed the calculus sequence. For many students, this may be the first course in which proofs of the main results are presented on an equal footing with methods for solving numerical problems. The concepts needed to understand the proofs are shown to emerge naturally from attempts to solve concrete problems. This connection is illustrated by worked examples in almost every section. Many numerical exercises are included, which use all the ideas, and develop important techniques for problem-solving. There are also theoretical exercises, which provide opportunities for students to discover interesting things for themselves, and to write mathematical explanations in a convincing way. Answers and hints for many of the problems are given in the back. Not all answers are given, however, to encourage s algebra,algebra and trigonometry,education and reference,linear,math,mathematics,pure mathematics,science and math,science and math,textbooks Mathematics, Springer

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ISBN: 0387909923

[SR: 589410], Hardcover, [EAN: 9780387909929], Springer, Springer, Book, [PU: Springer], 1999-12-01, Springer, 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570902, Algebra, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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ISBN: 0387909923

[SR: 589410], Hardcover, [EAN: 9780387909929], Springer, Springer, Book, [PU: Springer], 1999-12-01, Springer, 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570902, Algebra, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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** Details of the book - Linear Algebra**

EAN (ISBN-13): 9780387909929

ISBN (ISBN-10): 0387909923

Hardcover

Paperback

Publishing year: 2007

Publisher: Springer-Verlag GmbH

364 Pages

Weight: 0,707 kg

Language: eng/Englisch

Book in our database since 28.05.2007 21:53:58

Book found last time on 01.10.2017 17:20:36

ISBN/EAN: 0387909923

ISBN - alternate spelling:

0-387-90992-3, 978-0-387-90992-9

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