Lectures on Linear Algebra

Author: I. M. Gelfand

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 185

View: 461

Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.

Elements of Abstract Algebra

Author: Allan Clark

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 224

View: 221

Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.

Matrices and Linear Algebra

Author: Hans Schneider

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 432

View: 187

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.

Introduction to Linear Algebra

Author: Frank M. Stewart

Publisher: Courier Dover Publications

ISBN:

Category: Mathematics

Page: 304

View: 323

Introduction to Linear Algebra stresses finite dimensional vector spaces and linear transformations. Intended for undergraduate majors in mathematics, applied mathematics, chemistry, and physics, the treatment's only prerequisite is a first course in calculus. Proofs are given in detail, and carefully chosen problems demonstrate the variety of situations in which these concepts arise. After a brief Introduction, the text advances to chapters on the plane, linear dependence, span, dimension, bases, and subspaces. Subsequent chapters explore linear transformations, the dual space in terms of multilinear forms and determinants, a traditional treatment of determinants, and inner product spaces. Extensive Appendixes cover equations and identities; variables, quantifiers, and unknowns; sets; proofs; indices and summations; and functions.

Basic Algebra I

Second Edition

Author: Nathan Jacobson

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 528

View: 198

A classic text and standard reference for a generation, this volume covers all undergraduate algebra topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.

An Introduction to Algebraic Structures

Author: Joseph Landin

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 272

View: 779

This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.

Applied Algebra and Functional Analysis

Author: Anthony N. Michel

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 484

View: 281

"A valuable reference." β€” American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.

Linear Algebra

Author: Georgi E. Shilov

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 387

View: 719

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, and more.

Greek Mathematical Thought and the Origin of Algebra

Author: Jacob Klein

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 384

View: 400

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th–16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. This brought about the crucial change in the concept of number that made possible modern science β€” in which the symbolic "form" of a mathematical statement is completely inseparable from its "content" of physical meaning. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography.

Nonnegative Matrices and Applicable Topics in Linear Algebra

Author: Alexander Graham

Publisher: Dover Publications

ISBN:

Category: Mathematics

Page: 272

View: 878

Nonnegative matrices is an increasingly important subject in economics, control theory, numerical analysis, Markov chains, and other areas. This concise treatment is directed toward undergraduates who lack specialized knowledge at the postgraduate level of mathematics and related fields, such as mathematical economics and operations research. An Introductory Survey encompasses some aspects of matrix theory and its applications and other relevant topics in linear algebra, including certain facets of graph theory. Subsequent chapters cover various points of the theory of normal matrices, comprising unitary and Hermitian matrices, and the properties of positive definite matrices. An exploration of the main topic, nonnegative matrices, is followed by a discussion of M-matrices. The final chapter examines stochastic, genetic, and economic models. The important concepts are illustrated by simple worked examples. Problems appear at the conclusion of most chapters, with solutions at the end of the book.