Author : I. N. Herstein
Publisher : John Wiley & Sons
Page : 405 pages
File Size : 36,78 MB
Release : 1991-01-16
Category : Mathematics
ISBN : 0471010901
New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.
Author : I. N. Herstein
Publisher : Macmillan College
Page : 322 pages
File Size : 50,35 MB
Release : 1990
Category : Mathematics
ISBN :
Author : Kevin O'Meara
Publisher : OUP USA
Page : 423 pages
File Size : 43,54 MB
Release : 2011-09-16
Category : Mathematics
ISBN : 0199793735
This book develops the Weyr matrix canonical form, a largely unknown cousin of the Jordan form. It explores novel applications, including include matrix commutativity problems, approximate simultaneous diagonalization, and algebraic geometry. Module theory and algebraic geometry are employed but with self-contained accounts.
Author : Radmila Bulajich Manfrino
Publisher : Birkhäuser
Page : 319 pages
File Size : 10,2 MB
Release : 2015-02-09
Category : Mathematics
ISBN : 331911946X
The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.
Author : W. Michael Kelley
Publisher : Penguin
Page : 576 pages
File Size : 11,22 MB
Release : 2008-07
Category : Mathematics
ISBN : 9781592577224
Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics.
Author : Ėrnest Borisovich Vinberg
Publisher : American Mathematical Soc.
Page : 532 pages
File Size : 46,79 MB
Release : 2003-04-10
Category : Mathematics
ISBN : 9780821834138
Presents modern algebra. This book includes such topics as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. It is suitable for independent study for advanced undergraduates and graduate students.
Author : Saunders Mac Lane
Publisher : American Mathematical Society
Page : 650 pages
File Size : 32,38 MB
Release : 2023-10-10
Category : Mathematics
ISBN : 147047476X
This book presents modern algebra from first principles and is accessible to undergraduates or graduates. It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for instance, axioms for groups, rings, fields, lattices, and vector spaces. This axiomatic approach—emphasized by Hilbert and developed in Germany by Noether, Artin, Van der Waerden, et al., in the 1920s—was popularized for the graduate level in the 1940s and 1950s to some degree by the authors' publication of A Survey of Modern Algebra. The present book presents the developments from that time to the first printing of this book. This third edition includes corrections made by the authors.
Author : Bruce Elwyn Meserve
Publisher : Courier Corporation
Page : 324 pages
File Size : 27,62 MB
Release : 1982-01-01
Category : Mathematics
ISBN : 9780486614700
Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.
Author : S. R. Nagpaul
Publisher : American Mathematical Soc.
Page : 338 pages
File Size : 47,70 MB
Release :
Category : Mathematics
ISBN : 9780821874295
This book presents interesting applications of abstract algebra to practical real-world problems. Especially for those whose interest in algebra is not confined to abstract theory, the text makes the study of abstract algebra more exciting and meaningful. The book is appropriate as either a text for an applied abstract algebra course or as a supplemental text for a standard course in abstract algebra. While fully developed, the algebraic theory presented is just what is required for the applications discussed in the book. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).
Author : Dragu Atanasiu
Publisher : World Scientific
Page : 465 pages
File Size : 14,10 MB
Release : 2020-03-26
Category : Mathematics
ISBN : 9811215049
The book is an introduction to linear algebra intended as a textbook for the first course in linear algebra. In the first six chapters we present the core topics: matrices, the vector space ℝn, orthogonality in ℝn, determinants, eigenvalues and eigenvectors, and linear transformations. The book gives students an opportunity to better understand linear algebra in the next three chapters: Jordan forms by examples, singular value decomposition, and quadratic forms and positive definite matrices.In the first nine chapters everything is formulated in terms of ℝn. This makes the ideas of linear algebra easier to understand. The general vector spaces are introduced in Chapter 10. The last chapter presents problems solved with a computer algebra system. At the end of the book we have results or solutions for odd numbered exercises.
