**Author**: Dennis Sentilles

**Publisher:**Courier Corporation

**ISBN:**0486277585

**Category:**Mathematics

**Page:**416

**View:**966

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# Search Results for: a-bridge-to-advanced-mathematics-dover-books-on-mathematics

**Author**: Dennis Sentilles

**Publisher:** Courier Corporation

**ISBN:** 0486277585

**Category:** Mathematics

**Page:** 416

**View:** 966

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.

**Author**: Michael J. Schramm

**Publisher:** Courier Corporation

**ISBN:** 0486131920

**Category:** Mathematics

**Page:** 384

**View:** 7153

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.

**Author**: David Vernon Widder

**Publisher:** Courier Corporation

**ISBN:** 9780486661032

**Category:** Mathematics

**Page:** 520

**View:** 5886

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.
*2nd Miscellany of Puzzles*

**Author**: Stephen Barr

**Publisher:** Courier Corporation

**ISBN:** 0486242609

**Category:** Games

**Page:** 224

**View:** 6639

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.
*A Transition to Advanced Mathematics*

**Author**: Andre L. Yandl,Adam Bowers

**Publisher:** Courier Dover Publications

**ISBN:** 0486811018

**Category:** Mathematics

**Page:** 256

**View:** 3711

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
*mit 28 in den text Gedruckten Figuren*

**Author**: Hermann Weyl

**Publisher:** N.A

**ISBN:** N.A

**Category:** Riemann surfaces

**Page:** 183

**View:** 9402

**Author**: Richard J. Trudeau

**Publisher:** Courier Corporation

**ISBN:** 0486678709

**Category:** Mathematics

**Page:** 209

**View:** 7237

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.

**Author**: Herbert S Wilf

**Publisher:** Courier Corporation

**ISBN:** 0486153347

**Category:** Mathematics

**Page:** 304

**View:** 8633

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.

**Author**: Sherman Stein

**Publisher:** Courier Dover Publications

**ISBN:** 0486814114

**Category:** Mathematics

**Page:** 192

**View:** 2890

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.

**Author**: Samuel Loyd,Martin Gardner

**Publisher:** Courier Corporation

**ISBN:** 9780486204987

**Category:** Games

**Page:** 167

**View:** 5681

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

**Author**: Harold Thayer Davis

**Publisher:** Courier Corporation

**ISBN:** 9780486609713

**Category:** Mathematics

**Page:** 566

**View:** 761

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.

**Author**: Zeev Nehari

**Publisher:** Courier Corporation

**ISBN:** 0486145034

**Category:** Mathematics

**Page:** 396

**View:** 6287

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

**Author**: Graham Flegg

**Publisher:** Courier Corporation

**ISBN:** 9780486419619

**Category:** Mathematics

**Page:** 186

**View:** 8092

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.

**Author**: Rolf Leis

**Publisher:** Springer-Verlag

**ISBN:** 3663106497

**Category:** Technology & Engineering

**Page:** 266

**View:** 882

**Author**: Gary Chartrand

**Publisher:** Courier Corporation

**ISBN:** 9780486247755

**Category:** Science

**Page:** 294

**View:** 9554

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.

**Author**: L. L. Helms

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

**ISBN:** 3110822997

**Category:** Mathematics

**Page:** 305

**View:** 5497

**Author**: Stephen Barr

**Publisher:** Courier Corporation

**ISBN:** 048615274X

**Category:** Mathematics

**Page:** 210

**View:** 6324

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.

**Author**: Robert R. Stoll

**Publisher:** Courier Corporation

**ISBN:** 0486623181

**Category:** Mathematics

**Page:** 272

**View:** 383

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.

**Author**: Carl B. Boyer

**Publisher:** Courier Corporation

**ISBN:** 0486175383

**Category:** Mathematics

**Page:** 368

**View:** 6996

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.

**Author**: Robert C. Wrede

**Publisher:** Courier Corporation

**ISBN:** 0486137112

**Category:** Mathematics

**Page:** 418

**View:** 1151

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.

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