## Introduction to Modern Algebra and Matrix Theory

*Second Edition*

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

**Publisher:**Courier Corporation

**ISBN:**0486278654

**Category:**Mathematics

**Page:**400

**View:**7013

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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:**3887

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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.

## Algebra

*Aus dem Englischen übersetzt von Annette A’Campo*

**Author**: Michael Artin

**Publisher:**Birkhäuser

**ISBN:**9783764359386

**Category:**Mathematics

**Page:**705

**View:**9075

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Important though the general concepts and propositions may be with which the modem and industrious passion for axiomatizing and generalizing has presented us, in algebra perhaps more than anywhere else, nevertheless I am convinced that the special problems in all their complexity constitute the stock and core of mathematics, and that to master their difficulties requires on the whole the harder labor. HERMANN WEYL Die Arbeit an diesem Buch begann vor etwa zwanzig Jahren mit Aufzeichnungen zur Ergänzung meiner Algebravorlesungen. Ich wollte einige konkrete Themen, wie Symmetrie, lineare Gruppen und quadratische Zahlkörper, ausführlicher be handeln als dies im vorgesehenen Text der Fall war, und darüberhinaus wollte ich den Schwerpunkt in der Gruppentheorie von den Permutationsgruppen auf Matrixgruppen verlagern. Ein anderes ständig wiederkehrendes Thema, nämlich Gitter, sind spontan aufgetaucht. Ich hoffte, der konkrete Stoff könne das Interesse der Studenten wecken und gleichzeitig die Abstraktionen verständlicher machen, kurz gesagt, sie sollten weiter kommen, indem sie beides gleichzeitig lernten. Das bewährte sich gut. Es dauerte einige Zeit, bis ich entschieden hatte, welche Themen ich behandeln wollte, und allmählich verteilte ich mehr und mehr Aufzeichnungen und ging schließlich dazu über, die ganze Vorlesung mit diesem Skript zu bestrei ten. Auf diese Weise ist ein Buch entstanden, das, wie ich meine, etwas anders ist als die existierenden Bücher. Allerdings haben mir die Probleme, die ich damit hatte, die einzelnen Teile des Buches zu einem Ganzen zusammenzufügen, einige Kopfschmerzen bereitet; ich kann also nicht empfehlen, auf diese Art anzufangen, ein Buch zu schreiben.

## Abstract Algebra

**Author**: W. E. Deskins

**Publisher:**Courier Corporation

**ISBN:**0486158462

**Category:**Mathematics

**Page:**656

**View:**4171

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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.

## Matrix Theory

**Author**: Joel N. Franklin

**Publisher:**Courier Corporation

**ISBN:**0486136388

**Category:**Mathematics

**Page:**304

**View:**2076

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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:**1992

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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.

## Modern Higher Algebra

**Author**: Abraham Adrian Albert

**Publisher:**Courier Dover Publications

**ISBN:**0486823849

**Category:**Mathematics

**Page:**336

**View:**7633

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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:**9272

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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.

## Mathematical Brain Benders

*2nd Miscellany of Puzzles*

**Author**: Stephen Barr

**Publisher:**Courier Corporation

**ISBN:**0486242609

**Category:**Games

**Page:**224

**View:**8476

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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 the Theory of Linear Spaces

**Author**: Georgi E. Shilov,Richard A. Silverman

**Publisher:**Courier Corporation

**ISBN:**0486139433

**Category:**Mathematics

**Page:**320

**View:**6832

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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.

## Introduction to Linear Algebra

**Author**: Marvin Marcus,Henryk Minc

**Publisher:**Courier Corporation

**ISBN:**9780486656953

**Category:**Mathematics

**Page:**261

**View:**1995

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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.

## A Combinatorial Introduction to Topology

**Author**: Michael Henle

**Publisher:**Courier Corporation

**ISBN:**9780486679662

**Category:**Mathematics

**Page:**310

**View:**8813

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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.

## An Introduction to Mathematical Modeling

**Author**: Edward A. Bender

**Publisher:**Courier Corporation

**ISBN:**9780486411804

**Category:**Mathematics

**Page:**256

**View:**7958

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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.

## Introduction to Linear Algebra and Differential Equations

**Author**: John W. Dettman

**Publisher:**Courier Corporation

**ISBN:**9780486651910

**Category:**Mathematics

**Page:**404

**View:**4409

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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.

## Abstract Algebra and Solution by Radicals

**Author**: John Edward Maxfield,Margaret W. Maxfield

**Publisher:**Courier Corporation

**ISBN:**9780486671215

**Category:**Mathematics

**Page:**209

**View:**9334

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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.

## Inversive Geometry

**Author**: Frank Morley

**Publisher:**Courier Corporation

**ISBN:**0486493393

**Category:**Mathematics

**Page:**288

**View:**8999

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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.

## Foundations of Modern Analysis

**Author**: Avner Friedman

**Publisher:**Courier Corporation

**ISBN:**9780486640624

**Category:**Mathematics

**Page:**250

**View:**4375

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Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

## A Survey of Matrix Theory and Matrix Inequalities

**Author**: Marvin Marcus,Henryk Minc

**Publisher:**Courier Corporation

**ISBN:**9780486671024

**Category:**Mathematics

**Page:**180

**View:**9030

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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.

## How to Solve Applied Mathematics Problems

**Author**: B. L. Moiseiwitsch

**Publisher:**Courier Corporation

**ISBN:**0486285227

**Category:**Mathematics

**Page:**336

**View:**6053

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This workbook bridges the gap between lectures and practical applications, offering students of mathematics, engineering, and physics the chance to practice solving problems from a wide variety of fields. 2011 edition.

## Introduction to Modern Optics

**Author**: Grant R. Fowles

**Publisher:**Courier Corporation

**ISBN:**048613492X

**Category:**Science

**Page:**336

**View:**7388

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A complete basic undergraduate course in modern optics for students in physics, technology, and engineering. The first half deals with classical physical optics; the second, quantum nature of light. Solutions.