An Introduction to Algebra, with Notes and Observations

An Introduction to Algebra, with Notes and Observations
Title An Introduction to Algebra, with Notes and Observations PDF eBook
Author John Bonnycastle
Publisher
Pages 368
Release 1829
Genre Algebra
ISBN

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An Introduction to Algebra : with Notes and Observations : Designed for the Use of Schools and Places of Public Education

An Introduction to Algebra : with Notes and Observations : Designed for the Use of Schools and Places of Public Education
Title An Introduction to Algebra : with Notes and Observations : Designed for the Use of Schools and Places of Public Education PDF eBook
Author John Bonnycastle
Publisher London : J. Nunn
Pages 282
Release 1815
Genre Algebra
ISBN

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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.

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.

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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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.

An Introduction to Algebra

An Introduction to Algebra
Title An Introduction to Algebra PDF eBook
Author Jeremiah Day
Publisher
Pages 428
Release 1854
Genre Algebra
ISBN

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