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 |
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
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 |
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
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 |
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
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 |
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
Title | Toward Mathematics for All PDF eBook |
Author | Nerida Ellerton |
Publisher | Springer Nature |
Pages | 462 |
Release | 2022-06-27 |
Genre | Mathematics |
ISBN | 3030857247 |
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)
Title | Modern Algebra (Abstract Algebra) PDF eBook |
Author | |
Publisher | Krishna Prakashan Media |
Pages | 654 |
Release | |
Genre | |
ISBN | 9788182830561 |
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 |