## Introduction to Modern Algebra and Matrix Theory

*Second Edition*

**Author**: O. Schreier,E. Sperner

**Publisher:**Courier Corporation

**ISBN:**0486278654

**Category:**Mathematics

**Page:**400

**View:**3667

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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.

## Elementary Matrix Theory

**Author**: Howard Eves

**Publisher:**Courier Corporation

**ISBN:**0486150275

**Category:**Mathematics

**Page:**352

**View:**3853

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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.

## Abstract Algebra

**Author**: W. E. Deskins

**Publisher:**Courier Corporation

**ISBN:**0486158462

**Category:**Mathematics

**Page:**656

**View:**6470

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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 and Differential Equations

**Author**: John W. Dettman

**Publisher:**Courier Corporation

**ISBN:**9780486651910

**Category:**Mathematics

**Page:**404

**View:**4961

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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.

## Matrix Theory

**Author**: Joel N. Franklin

**Publisher:**Courier Corporation

**ISBN:**0486136388

**Category:**Mathematics

**Page:**304

**View:**4719

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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.

## Advanced Number Theory

**Author**: Harvey Cohn

**Publisher:**Courier Corporation

**ISBN:**9780486640235

**Category:**Mathematics

**Page:**276

**View:**4087

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"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,Richard A. Silverman

**Publisher:**Courier Corporation

**ISBN:**0486139433

**Category:**Mathematics

**Page:**320

**View:**3098

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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.

## Modern Higher Algebra

**Author**: Abraham Adrian Albert

**Publisher:**Courier Dover Publications

**ISBN:**0486823849

**Category:**Mathematics

**Page:**336

**View:**9818

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

## Algebraic Logic

**Author**: Paul R. Halmos

**Publisher:**Courier Dover Publications

**ISBN:**0486810410

**Category:**Mathematics

**Page:**272

**View:**1934

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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.

## Introduction to Stochastic Processes

**Author**: Erhan Cinlar

**Publisher:**Courier Corporation

**ISBN:**0486497976

**Category:**Mathematics

**Page:**402

**View:**423

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This clear presentation of themost fundamental models ofrandom phenomena employsmethods that recognize computerrelatedaspects of theory. Topicsinclude probability spaces andrandom variables, expectationsand independence, Bernoulliprocesses and sums of independentrandom variables, Poisson processes, Markov chainsand processes, and renewal theory. Assuming only a backgroundin calculus, this outstanding text includes an introductionto basic stochastic processes.Reprint of the Prentice-Hall Publishers, Englewood Cliffs,New Jersey, 1975 edition.

## Modern Quantum Chemistry

*Introduction to Advanced Electronic Structure Theory*

**Author**: Attila Szabo,Neil S. Ostlund

**Publisher:**Courier Corporation

**ISBN:**0486134598

**Category:**Science

**Page:**480

**View:**4950

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This graduate-level text explains the modern in-depth approaches to the calculation of electronic structure and the properties of molecules. Largely self-contained, it features more than 150 exercises. 1989 edition.

## Mathematical Brain Benders

*2nd Miscellany of Puzzles*

**Author**: Stephen Barr

**Publisher:**Courier Corporation

**ISBN:**0486242609

**Category:**Games

**Page:**224

**View:**7415

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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.

## An Introduction to Linear Programming and the Theory of Games

**Author**: Abraham M. Glicksman

**Publisher:**Courier Corporation

**ISBN:**9780486417103

**Category:**Mathematics

**Page:**131

**View:**7741

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Simple exposition of linear programming and matrix games covers convex sets in the Cartesian plane and the fundamental extreme point theorem for convex polygons; the simplex method in linear programming; the fundamental duality theorem and its corollary, von Neumann's minimax theorem; more. Easily understood problems and illustrative exercises. 1963 edition.

## Fundamentals of Scientific Mathematics

**Author**: George E. Owen

**Publisher:**Courier Corporation

**ISBN:**9780486428086

**Category:**Mathematics

**Page:**274

**View:**6960

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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.

## A Combinatorial Introduction to Topology

**Author**: Michael Henle

**Publisher:**Courier Corporation

**ISBN:**9780486679662

**Category:**Mathematics

**Page:**310

**View:**2076

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Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

## Einführung in die Potentialtheorie

**Author**: L. L. Helms

**Publisher:**Walter de Gruyter GmbH & Co KG

**ISBN:**3110822997

**Category:**Mathematics

**Page:**305

**View:**2273

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## Introduction to Linear Algebra

**Author**: Marvin Marcus,Henryk Minc

**Publisher:**Courier Corporation

**ISBN:**9780486656953

**Category:**Mathematics

**Page:**261

**View:**1857

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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.

## An Introduction to Mathematical Modeling

**Author**: Edward A. Bender

**Publisher:**Courier Corporation

**ISBN:**9780486411804

**Category:**Mathematics

**Page:**256

**View:**982

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Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.

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

**Author**: Maurice Heins

**Publisher:**Courier Corporation

**ISBN:**0486800695

**Category:**Mathematics

**Page:**176

**View:**7052

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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.

## Lineare Algebra

*Einführung, Grundlagen, Übungen*

**Author**: Howard Anton

**Publisher:**Springer Verlag

**ISBN:**9783827403247

**Category:**Mathematics

**Page:**680

**View:**1257

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In Ihrer Hand liegt ein Lehrbuch - in sieben englischsprachigen Ausgaben praktisch erprobt - das Sie mit groem didaktischen Geschick, zudem angereichert mit zahlreichen Ubungsaufgaben, in die Grundlagen der linearen Algebra einfuhrt. Kenntnisse der Analysis werden fur das Verstandnis nicht generell vorausgesetzt, sind jedoch fur einige besonders gekennzeichnete Beispiele notig. Padagogisch erfahren, behandelt der Autor grundlegende Beweise im laufenden Text; fur den interessierten Leser jedoch unverzichtbare Beweise finden sich am Ende der entsprechenden Kapitel. Ein weiterer Vorzug des Buches: Die Darstellung der Zusammenhange zwischen den einzelnen Stoffgebieten - linearen Gleichungssystemen, Matrizen, Determinanten, Vektoren, linearen Transformationen und Eigenwerten.