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.

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.

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.

Modern Higher Algebra

Author: Abraham Adrian Albert
Publisher: Courier Dover Publications
ISBN: 9780486823843
Release Date: 2018-03-21
Genre: Mathematics

Originally published: Chicago: University of Chicago Press, 1937.

Introduction to Linear Algebra and Differential Equations

Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 0486651916
Release Date: 1986
Genre: Mathematics

Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

Algebraic Logic

Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 9780486810416
Release Date: 2016-03-17
Genre: Mathematics

Beginning with an introduction to the concepts of algebraic logic, this concise volume features ten articles by a prominent mathematician that originally appeared in journals from 1954 to 1959. Covering monadic and polyadic algebras, these articles are essentially self-contained and accessible to a general mathematical audience, requiring no specialized knowledge of algebra or logic. Part One addresses monadic algebras, with articles on general theory, representation, and freedom. Part Two explores polyadic algebras, progressing from general theory and terms to equality. Part Three offers three items on polyadic Boolean algebras, including a survey of predicates, terms, operations, and equality. The book concludes with an additional bibliography and index.

Mathematical Brain Benders

Author: Stephen Barr
Publisher: Courier Corporation
ISBN: 9780486242606
Release Date: 1982-05-01
Genre: Games

Challenge yourself with over 100 fresh paradoxes, puzzles, riddles, conundrums, word and number games for the jaded, skeptical puzzlist. Over 100 pages of comprehensive answers. Approximately 300 illustrations. "Excellent collection of unusual, offbeat, and completely original puzzles." ? Scientific American.

Advanced Number Theory

Author: Harvey Cohn
Publisher: Courier Corporation
ISBN: 048664023X
Release Date: 1980-08
Genre: Mathematics

"A very stimulating book ... in a class by itself." — American Mathematical Monthly Advanced students, mathematicians and number theorists will welcome this stimulating treatment of advanced number theory, which approaches the complex topic of algebraic number theory from a historical standpoint, taking pains to show the reader how concepts, definitions and theories have evolved during the last two centuries. Moreover, the book abounds with numerical examples and more concrete, specific theorems than are found in most contemporary treatments of the subject. The book is divided into three parts. Part I is concerned with background material — a synopsis of elementary number theory (including quadratic congruences and the Jacobi symbol), characters of residue class groups via the structure theorem for finite abelian groups, first notions of integral domains, modules and lattices, and such basis theorems as Kronecker's Basis Theorem for Abelian Groups. Part II discusses ideal theory in quadratic fields, with chapters on unique factorization and units, unique factorization into ideals, norms and ideal classes (in particular, Minkowski's theorem), and class structure in quadratic fields. Applications of this material are made in Part III to class number formulas and primes in arithmetic progression, quadratic reciprocity in the rational domain and the relationship between quadratic forms and ideals, including the theory of composition, orders and genera. In a final concluding survey of more recent developments, Dr. Cohn takes up Cyclotomic Fields and Gaussian Sums, Class Fields and Global and Local Viewpoints. In addition to numerous helpful diagrams and tables throughout the text, appendices, and an annotated bibliography, Advanced Number Theory also includes over 200 problems specially designed to stimulate the spirit of experimentation which has traditionally ruled number theory.

An Introduction to the Theory of Linear Spaces

Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 9780486139432
Release Date: 2012-12-03
Genre: Mathematics

Introductory treatment offers a clear exposition of algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. Numerous examples illustrate many different fields, and problems include hints or answers. 1961 edition.

Selected Topics in the Classical Theory of Functions of a Complex Variable

Author: Maurice Heins
Publisher: Courier Corporation
ISBN: 9780486800691
Release Date: 2014-11-24
Genre: Mathematics

Elegant and concise, this text explores properties of meromorphic functions, Picard theorem, harmonic and subharmonic functions, applications, and boundary behavior of the Riemann mapping function for simply connected Jordan regions. 1962 edition.

Rings and Homology

Author: James P. Jans
Publisher: Courier Dover Publications
ISBN: 9780486801896
Release Date: 2015-01-05
Genre: Mathematics

This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas. After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.

Inversive Geometry

Author: Frank Morley
Publisher: Courier Corporation
ISBN: 9780486493398
Release Date: 2014-01-15
Genre: Mathematics

This introduction to algebraic geometry makes particular reference to the operation of inversion. Topics include Euclidean group; inversion; quadratics; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; differential geometry; and more. 1933 edition.

Abstract Algebra and Solution by Radicals

Author: John Edward Maxfield
Publisher: Courier Corporation
ISBN: 0486671216
Release Date: 1992
Genre: Mathematics

Easily accessible undergraduate-level text covers groups, polynomials, Galois theory, radicals, much more. Features many examples, illustrations and commentaries as well as 13 appendices. 1971 edition.

Fundamentals of Scientific Mathematics

Author: George E. Owen
Publisher: Courier Corporation
ISBN: 0486428087
Release Date: 2003
Genre: Mathematics

Rewarding undergraduate text, derived from an experimental program in teaching mathematics at the secondary-school level. This text provides a good introduction to geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. "...solid modern mathematical content..." — American Scientist. Over 200 figures. 1964 edition.