A Bridge to Advanced Mathematics


Author: Dennis Sentilles
Publisher: Courier Corporation
ISBN: 0486277585
Category: Mathematics
Page: 416
View: 5931

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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.

Bridge to Higher Mathematics


Author: Sam Vandervelde
Publisher: Lulu.com
ISBN: 055750337X
Category: Mathematics
Page: 244
View: 2367

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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.

Mathematics and the Physical World


Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486136310
Category: Mathematics
Page: 512
View: 480

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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.

A Course in Advanced Calculus


Author: Robert S. Borden
Publisher: Courier Corporation
ISBN: 0486150380
Category: Mathematics
Page: 416
View: 5992

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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.

Advanced Calculus


Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 0486137864
Category: Mathematics
Page: 432
View: 1801

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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.

Mathematics and Logic


Author: Mark Kac,Stanislaw M. Ulam
Publisher: Courier Corporation
ISBN: 0486670856
Category: Philosophy
Page: 170
View: 1792

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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."

Linear Algebra


Author: Georgi? Evgen?evich Shilov
Publisher: Courier Corporation
ISBN: 9780486635187
Category: Mathematics
Page: 387
View: 8250

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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.

Introduction to Graph Theory


Author: Richard J. Trudeau
Publisher: Courier Corporation
ISBN: 0486678709
Category: Mathematics
Page: 209
View: 8889

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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.

Introductory Discrete Mathematics


Author: V. K . Balakrishnan
Publisher: Courier Corporation
ISBN: 0486140385
Category: Mathematics
Page: 256
View: 8701

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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.

Advanced Mathematics for Engineers and Scientists


Author: Paul DuChateau
Publisher: Courier Corporation
ISBN: 0486141594
Category: Mathematics
Page: 400
View: 3003

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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.

A Mathematical Bridge

An Intuitive Journey in Higher Mathematics
Author: Stephen Fletcher Hewson
Publisher: World Scientific
ISBN: 9812834079
Category: Education
Page: 649
View: 3969

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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.

Introduction to Real Analysis


Author: Michael J. Schramm
Publisher: Courier Corporation
ISBN: 0486131920
Category: Mathematics
Page: 384
View: 1351

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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.

A Treatise on Advanced Calculus


Author: Philip Franklin
Publisher: Courier Dover Publications
ISBN: 048680707X
Category: Mathematics
Page: 608
View: 6006

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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.

Elements of Advanced Mathematics, Third Edition


Author: Steven G. Krantz
Publisher: CRC Press
ISBN: 1439898340
Category: Mathematics
Page: 367
View: 7145

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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.

Mathematics for the Physical Sciences


Author: Herbert S Wilf
Publisher: Courier Corporation
ISBN: 0486153347
Category: Mathematics
Page: 304
View: 9804

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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.

The Development of Mathematics


Author: E. T. Bell
Publisher: Courier Corporation
ISBN: 0486152286
Category: Mathematics
Page: 656
View: 712

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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.

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: 6862

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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

A Survey of Industrial Mathematics


Author: C. R. MacCluer
Publisher: N.A
ISBN: 9780486477022
Category: Mathematics
Page: 370
View: 2187

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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.

Bridging the Gap to University Mathematics


Author: Edward Hurst,Martin Gould
Publisher: Springer Science & Business Media
ISBN: 9781848002906
Category: Mathematics
Page: 344
View: 614

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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.

Geometry: A Comprehensive Course


Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Category: Mathematics
Page: 464
View: 7215

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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.