**Author**: Dennis Sentilles

**Publisher:**Courier Corporation

**ISBN:**0486277585

**Category:**Mathematics

**Page:**416

**View:**5931

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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:** 5931

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**: Sam Vandervelde

**Publisher:** Lulu.com

**ISBN:** 055750337X

**Category:** Mathematics

**Page:** 244

**View:** 2367

This engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinality.

**Author**: Morris Kline

**Publisher:** Courier Corporation

**ISBN:** 0486136310

**Category:** Mathematics

**Page:** 512

**View:** 480

Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

**Author**: Robert S. Borden

**Publisher:** Courier Corporation

**ISBN:** 0486150380

**Category:** Mathematics

**Page:** 416

**View:** 5992

An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.

**Author**: Avner Friedman

**Publisher:** Courier Corporation

**ISBN:** 0486137864

**Category:** Mathematics

**Page:** 432

**View:** 1801

Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.

**Author**: Mark Kac,Stanislaw M. Ulam

**Publisher:** Courier Corporation

**ISBN:** 0486670856

**Category:** Philosophy

**Page:** 170

**View:** 1792

Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."

**Author**: Georgi? Evgen?evich Shilov

**Publisher:** Courier Corporation

**ISBN:** 9780486635187

**Category:** Mathematics

**Page:** 387

**View:** 8250

Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

**Author**: Richard J. Trudeau

**Publisher:** Courier Corporation

**ISBN:** 0486678709

**Category:** Mathematics

**Page:** 209

**View:** 8889

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**: V. K . Balakrishnan

**Publisher:** Courier Corporation

**ISBN:** 0486140385

**Category:** Mathematics

**Page:** 256

**View:** 8701

This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.

**Author**: Paul DuChateau

**Publisher:** Courier Corporation

**ISBN:** 0486141594

**Category:** Mathematics

**Page:** 400

**View:** 3003

This primary text and supplemental reference focuses on linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods. Includes solved problems. 1992 edition.
*An Intuitive Journey in Higher Mathematics*

**Author**: Stephen Fletcher Hewson

**Publisher:** World Scientific

**ISBN:** 9812834079

**Category:** Education

**Page:** 649

**View:** 3969

Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.

**Author**: Michael J. Schramm

**Publisher:** Courier Corporation

**ISBN:** 0486131920

**Category:** Mathematics

**Page:** 384

**View:** 1351

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**: Philip Franklin

**Publisher:** Courier Dover Publications

**ISBN:** 048680707X

**Category:** Mathematics

**Page:** 608

**View:** 6006

This classic offers a comprehensive logical treatment that concentrates on theory rather than on techniques and applications, providing students with a substantial base for graduate work in physics. 1940 edition.

**Author**: Steven G. Krantz

**Publisher:** CRC Press

**ISBN:** 1439898340

**Category:** Mathematics

**Page:** 367

**View:** 7145

For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.

**Author**: Herbert S Wilf

**Publisher:** Courier Corporation

**ISBN:** 0486153347

**Category:** Mathematics

**Page:** 304

**View:** 9804

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**: E. T. Bell

**Publisher:** Courier Corporation

**ISBN:** 0486152286

**Category:** Mathematics

**Page:** 656

**View:** 712

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.
*A Transition to Advanced Mathematics*

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

**Publisher:** Courier Dover Publications

**ISBN:** 0486811018

**Category:** Mathematics

**Page:** 256

**View:** 6862

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

**Author**: C. R. MacCluer

**Publisher:** N.A

**ISBN:** 9780486477022

**Category:** Mathematics

**Page:** 370

**View:** 2187

This text shows advanced undergraduate and graduate students how to solve the problems they'll encounter in their professional lives. A concise single-volume treatment, it employs MATLAB and other strategies to explore typical industrial problems. Students learn how to write reports and convey mathematical data in a variety of situations. 2000 edition.

**Author**: Edward Hurst,Martin Gould

**Publisher:** Springer Science & Business Media

**ISBN:** 9781848002906

**Category:** Mathematics

**Page:** 344

**View:** 614

Helps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete. A range of exercises, complete with full solutions, makes the book ideal for self-study.

**Author**: Dan Pedoe

**Publisher:** Courier Corporation

**ISBN:** 0486131734

**Category:** Mathematics

**Page:** 464

**View:** 7215

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

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