Applied Linear Algebra

Applied Linear Algebra
Title Applied Linear Algebra PDF eBook
Author Lorenzo Adlai Sadun
Publisher American Mathematical Soc.
Pages 394
Release 2007-12-20
Genre Mathematics
ISBN 0821844415

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Linear algebra permeates mathematics, as well as physics and engineering. In this text for junior and senior undergraduates, Sadun treats diagonalization as a central tool in solving complicated problems in these subjects by reducing coupled linear evolution problems to a sequence of simpler decoupled problems. This is the Decoupling Principle. Traditionally, difference equations, Markov chains, coupled oscillators, Fourier series, the wave equation, the Schrodinger equation, and Fourier transforms are treated separately, often in different courses. Here, they are treated as particular instances of the decoupling principle, and their solutions are remarkably similar. By understanding this general principle and the many applications given in the book, students will be able to recognize it and to apply it in many other settings. Sadun includes some topics relating to infinite-dimensional spaces. He does not present a general theory, but enough so as to apply the decoupling principle to the wave equation, leading to Fourier series and the Fourier transform. The second edition contains a series of Explorations. Most are numerical labs in which the reader is asked to use standard computer software to look deeper into the subject. Some explorations are theoretical, for instance, relating linear algebra to quantum mechanics. There is also an appendix reviewing basic matrix operations and another with solutions to a third of the exercises.

A Book of Abstract Algebra

A Book of Abstract Algebra
Title A Book of Abstract Algebra PDF eBook
Author Charles C Pinter
Publisher Courier Corporation
Pages 402
Release 2010-01-14
Genre Mathematics
ISBN 0486474178

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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra
Title Introduction to Applied Linear Algebra PDF eBook
Author Stephen Boyd
Publisher Cambridge University Press
Pages 477
Release 2018-06-07
Genre Business & Economics
ISBN 1316518965

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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Basic Algebra

Basic Algebra
Title Basic Algebra PDF eBook
Author Anthony W. Knapp
Publisher Springer Science & Business Media
Pages 762
Release 2007-07-28
Genre Mathematics
ISBN 0817645292

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Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.

Toward Mathematics for All

Toward Mathematics for All
Title Toward Mathematics for All PDF eBook
Author Nerida Ellerton
Publisher Springer Nature
Pages 462
Release 2022-06-27
Genre Mathematics
ISBN 3030857247

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This book presents a history of mathematic between 1607 and 1865 in that part of mainland North America which is north of Mexico but excludes the present-day Canada and Alaska. Unlike most other histories of mathematics now available, the emphasis is on the gradual emergence of "mathematics for all" programs and associated changes in thinking which drove this emergence. The book takes account of changing ideas about intended, implemented and attained mathematics curricula for learners of all ages. It also pays attention to the mathematics itself, and to how it was taught and learned.

Modern Algebra (Abstract Algebra)

Modern Algebra (Abstract Algebra)
Title Modern Algebra (Abstract Algebra) PDF eBook
Author
Publisher Krishna Prakashan Media
Pages 654
Release
Genre
ISBN 9788182830561

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The speaker: or miscellaneous Pieces selected from the best English writers

The speaker: or miscellaneous Pieces selected from the best English writers
Title The speaker: or miscellaneous Pieces selected from the best English writers PDF eBook
Author Will Enfield
Publisher
Pages 406
Release 1850
Genre
ISBN

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