A Bridge to Advanced Mathematics

Author: Dennis Sentilles
Publisher: Courier Corporation
ISBN: 9780486277585
Release Date: 2013-05-20
Genre: Mathematics

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.

Elementary Point Set Topology

Author: Andre L. Yandl
Publisher: Courier Dover Publications
ISBN: 9780486811017
Release Date: 2016-04-10
Genre: Mathematics

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

Mathematical Brain Benders

Author: Stephen Barr
Publisher: Courier Corporation
ISBN: 9780486242606
Release Date: 1982-05-01
Genre: Games

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.

Advanced Calculus

Author: David Vernon Widder
Publisher: Courier Corporation
ISBN: 0486661032
Release Date: 1989
Genre: Mathematics

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.

Adventures in Mathematical Reasoning

Author: Sherman Stein
Publisher: Courier Dover Publications
ISBN: 9780486814117
Release Date: 2016-07-19
Genre: Mathematics

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.

Introduction to Graph Theory

Author: Richard J. Trudeau
Publisher: Courier Corporation
ISBN: 9780486678702
Release Date: 1993
Genre: Mathematics

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: 9780486153346
Release Date: 2013-01-18
Genre: Mathematics

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.

Mathematical Puzzles

Author: Samuel Loyd
Publisher: Courier Corporation
ISBN: 0486204987
Release Date: 1959
Genre: Games

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 Real Analysis

Author: Michael J. Schramm
Publisher: Courier Corporation
ISBN: 9780486131924
Release Date: 2012-05-11
Genre: Mathematics

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.

Introductory Discrete Mathematics

Author: V. K. Balakrishnan
Publisher: Courier Corporation
ISBN: 9780486691152
Release Date: 1991
Genre: Mathematics

This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. Geared toward mathematics and computer science majors, it emphasizes applications, offering more than 200 exercises to help students test their grasp of the material and providing answers to selected exercises. 1991 edition.

Conformal Mapping

Author: Zeev Nehari
Publisher: Courier Corporation
ISBN: 9780486145037
Release Date: 2012-05-23
Genre: Mathematics

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

Mathematical Snapshots

Author: Hugo Steinhaus
Publisher: Courier Corporation
ISBN: 0486409147
Release Date: 1999
Genre: Mathematics

Numerous photographs, diagrams explain mathematical phenomena in series of thought-provoking expositions. From simple puzzles to more advanced problems, topics include psychology of lottery players, arrangement of chromosomes in a human cell, new and larger prime numbers, more. Fascinating glimpse into the world of numbers. 1969 edition. 391 black-and-white illustrations.

Makers of Mathematics

Author: Stuart Hollingdale
Publisher: Courier Corporation
ISBN: 9780486174501
Release Date: 2014-06-10
Genre: Mathematics

Each chapter of this accessible portrait of the evolution of mathematics examines the work of an individual — Archimedes, Descartes, Newton, Einstein, others — to explore the mathematics of his era. 1989 edition.

Rings and Homology

Author: James P. Jans
Publisher: Courier Dover Publications
ISBN: 9780486801896
Release Date: 2015-01-05
Genre: Mathematics

This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas. After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.