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.