A Bridge to Advanced Mathematics


Author: Dennis Sentilles
Publisher: Courier Corporation
ISBN: 0486277585
Category: Mathematics
Page: 416
View: 966

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This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.

Introduction to Real Analysis


Author: Michael J. Schramm
Publisher: Courier Corporation
ISBN: 0486131920
Category: Mathematics
Page: 384
View: 7153

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This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.

Advanced Calculus


Author: David Vernon Widder
Publisher: Courier Corporation
ISBN: 9780486661032
Category: Mathematics
Page: 520
View: 5886

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Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.

Mathematical Brain Benders

2nd Miscellany of Puzzles
Author: Stephen Barr
Publisher: Courier Corporation
ISBN: 0486242609
Category: Games
Page: 224
View: 6639

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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.

Elementary Point-Set Topology

A Transition to Advanced Mathematics
Author: Andre L. Yandl,Adam Bowers
Publisher: Courier Dover Publications
ISBN: 0486811018
Category: Mathematics
Page: 256
View: 3711

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In addition to serving as an introduction to the basics of point-set topology, this text bridges the gap between the elementary calculus sequence and higher-level mathematics courses. The versatile, original approach focuses on learning to read and write proofs rather than covering advanced topics. Based on lecture notes that were developed over many years at The University of Seattle, the treatment is geared toward undergraduate math majors and suitable for a variety of introductory courses. Starting with elementary concepts in logic and basic techniques of proof writing, the text defines topological and metric spaces and surveys continuity and homeomorphism. Additional subjects include product spaces, connectedness, and compactness. The final chapter illustrates topology's use in other branches of mathematics with proofs of the fundamental theorem of algebra and of Picard's existence theorem for differential equations. "This is a back-to-basics introductory text in point-set topology that can double as a transition to proofs course. The writing is very clear, not too concise or too wordy. Each section of the book ends with a large number of exercises. The optional first chapter covers set theory and proof methods; if the students already know this material you can start with Chapter 2 to present a straight topology course, otherwise the book can be used as an introduction to proofs course also." — Mathematical Association of America

Introduction to Graph Theory


Author: Richard J. Trudeau
Publisher: Courier Corporation
ISBN: 0486678709
Category: Mathematics
Page: 209
View: 7237

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A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

Mathematics for the Physical Sciences


Author: Herbert S Wilf
Publisher: Courier Corporation
ISBN: 0486153347
Category: Mathematics
Page: 304
View: 8633

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Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.

Adventures in Mathematical Reasoning


Author: Sherman Stein
Publisher: Courier Dover Publications
ISBN: 0486814114
Category: Mathematics
Page: 192
View: 2890

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Eight fascinating examples show how understanding of certain topics in advanced mathematics requires nothing more than arithmetic and common sense. Covers mathematical applications behind cell phones, computers, cell growth, and other areas.

Mathematical Puzzles


Author: Samuel Loyd,Martin Gardner
Publisher: Courier Corporation
ISBN: 9780486204987
Category: Games
Page: 167
View: 5681

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Choice puzzles by one of America's most ingenious creators of mathematical entertainments, ranging from simple exercises in arithmetic to complex calculus problems

Introduction to Nonlinear Differential and Integral Equations


Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Category: Mathematics
Page: 566
View: 761

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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

Conformal Mapping


Author: Zeev Nehari
Publisher: Courier Corporation
ISBN: 0486145034
Category: Mathematics
Page: 396
View: 6287

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DIVTheoretical and practical approach covers functions of a complex variable and conformal mapping. Only prerequisite is advanced calculus. /div

From Geometry to Topology


Author: Graham Flegg
Publisher: Courier Corporation
ISBN: 9780486419619
Category: Mathematics
Page: 186
View: 8092

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Introductory text for first-year math students uses intuitive approach, bridges the gap from familiar concepts of geometry to topology. Exercises and Problems. Includes 101 black-and-white illustrations. 1974 edition.

Introductory Graph Theory


Author: Gary Chartrand
Publisher: Courier Corporation
ISBN: 9780486247755
Category: Science
Page: 294
View: 9554

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Graph theory is used today in the physical sciences, social sciences, computer science, and other areas. Introductory Graph Theory presents a nontechnical introduction to this exciting field in a clear, lively, and informative style. Author Gary Chartrand covers the important elementary topics of graph theory and its applications. In addition, he presents a large variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics. Ten major topics ? profusely illustrated ? include: Mathematical Models, Elementary Concepts of Graph Theory, Transportation Problems, Connection Problems, Party Problems, Digraphs and Mathematical Models, Games and Puzzles, Graphs and Social Psychology, Planar Graphs and Coloring Problems, and Graphs and Other Mathematics. A useful Appendix covers Sets, Relations, Functions, and Proofs, and a section devoted to exercises ? with answers, hints, and solutions ? is especially valuable to anyone encountering graph theory for the first time. Undergraduate mathematics students at every level, puzzlists, and mathematical hobbyists will find well-organized coverage of the fundamentals of graph theory in this highly readable and thoroughly enjoyable book.

Experiments in Topology


Author: Stephen Barr
Publisher: Courier Corporation
ISBN: 048615274X
Category: Mathematics
Page: 210
View: 6324

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Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.

Linear Algebra and Matrix Theory


Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486623181
Category: Mathematics
Page: 272
View: 383

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Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.

The History of the Calculus and Its Conceptual Development


Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486175383
Category: Mathematics
Page: 368
View: 6996

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Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.

Introduction to Vector and Tensor Analysis


Author: Robert C. Wrede
Publisher: Courier Corporation
ISBN: 0486137112
Category: Mathematics
Page: 418
View: 1151

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Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.