Introduction to Modern Algebra and Matrix Theory

Author: O. Schreier
Publisher: Courier Corporation
ISBN: 9780486278650
Release Date: 2013-05-13
Genre: Mathematics

This unique text provides students with a basic course in both calculus and analytic geometry — no competitive editions cover both topics in a single volume. Its prerequisites are minimal, and the order of its presentation promotes an intuitive approach to calculus. Algebraic concepts receive an unusually strong emphasis. Numerous exercises appear throughout the text. 1951 edition.

Linear Algebra and Matrix Theory

Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 9780486265216
Release Date: 2013-05-20
Genre: Mathematics

One of the best available works on matrix theory in the context of modern algebra, this text bridges the gap between ordinary undergraduate studies and completely abstract mathematics. 1952 edition.

An Introduction to Linear Algebra

Author: L. Mirsky
Publisher: Courier Corporation
ISBN: 9780486166445
Release Date: 2012-12-03
Genre: Mathematics

Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.

Matrices and Linear Algebra

Author: Hans Schneider
Publisher: Courier Corporation
ISBN: 9780486139302
Release Date: 2012-06-08
Genre: Mathematics

Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

Abstract Algebra

Author: W. E. Deskins
Publisher: Courier Corporation
ISBN: 9780486158464
Release Date: 2012-05-24
Genre: Mathematics

Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.

Introduction to Linear Algebra

Author: Marvin Marcus
Publisher: Courier Corporation
ISBN: 0486656950
Release Date: 1965
Genre: Mathematics

Rigorous, self-contained introduction at undergraduate level covers vector spaces and linear transformations, linear equations and determinants, characteristic roots. Includes 16 sets of true-false quizzes and exercises — with worked-out solutions — a complete theory of permutations and much more.

Elementary Matrix Theory

Author: Howard Eves
Publisher: Courier Corporation
ISBN: 9780486150277
Release Date: 2012-04-30
Genre: Mathematics

Concrete treatment of fundamental concepts and operations, equivalence, determinants, matrices with polynomial elements, and similarity and congruence. Each chapter has many excellent problems and optional related information. No previous course in abstract algebra required.

Matrix Theory

Author: Joel N. Franklin
Publisher: Courier Corporation
ISBN: 9780486136387
Release Date: 2012-07-31
Genre: Mathematics

Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.

A Survey of Matrix Theory and Matrix Inequalities

Author: Marvin Marcus
Publisher: Courier Corporation
ISBN: 048667102X
Release Date: 1992
Genre: Mathematics

Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.

Elements of Modern Algebra

Author: Linda Gilbert
Publisher: Cengage Learning
ISBN: 9781285965918
Release Date: 2014-01-01
Genre: Mathematics

ELEMENTS OF MODERN ALGEBRA, Eighth Edition, with its user-friendly format, provides you with the tools you need to succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem-solving skills. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Basic Matrix Theory

Author: Leonard E. Fuller
Publisher: Courier Dover Publications
ISBN: 9780486822624
Release Date: 2017-05-25
Genre: Mathematics

Written as a guide to using matrices as a mathematical tool, this text is geared toward physical and social scientists, engineers, economists, and others who require a model for procedure rather than an exposition of theory. Knowledge of elementary algebra is the only mathematical prerequisite. Detailed numerical examples illustrate the treatment's focus on computational methods. The first four chapters outline the basic concepts of matrix theory. Topics include the development of the concept of elementary operations and a systematic procedure for simplifying matrices as well as a method for evaluating the determinant of a given square matrix. Subsequent chapters explore important numerical procedures, including the process for approximating characteristic roots and vectors plus direct and iterative methods for inverting matrices and solving systems of equations. Solutions to the problems are included.

Linear Algebra

Author: Georgi? Evgen?evich Shilov
Publisher: Courier Corporation
ISBN: 048663518X
Release Date: 1977
Genre: Mathematics

Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

Matrices and Transformations

Author: Anthony J. Pettofrezzo
Publisher: Courier Corporation
ISBN: 9780486151809
Release Date: 2012-05-04
Genre: Mathematics

Elementary, concrete approach: fundamentals of matrix algebra, linear transformation of the plane, application of properties of eigenvalues and eigenvectors to study of conics. Includes proofs of most theorems. Answers to odd-numbered exercises.

Applications of the Theory of Matrices

Author: F. R. Gantmacher
Publisher: Courier Corporation
ISBN: 9780486445540
Release Date: 2005
Genre: Mathematics

The breadth of matrix theory's applications is reflected by this volume, which features material of interest to applied mathematicians as well as to control engineers studying stability of a servo-mechanism and numerical analysts evaluating the roots of a polynomial. Starting with a survey of complex symmetric, antisymmetric, and orthogonal matrices, the text advances to explorations of singular bundles of matrices and matrices with nonnegative elements. Applied mathematicians will take particular note of the full and readable chapter on applications of matrix theory to the study of systems of linear differential equations, and the text concludes with an exposition on the Routh-Hurwitz problem plus several helpful appendixes. 1959 edition.

Symmetry

Author: R. McWeeny
Publisher: Elsevier
ISBN: 9781483226248
Release Date: 2013-09-03
Genre: Mathematics

Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.