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.

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.

A Mathematical Bridge

Author: Stephen Hewson
Publisher: World Scientific Publishing Company
ISBN: 9789813101241
Release Date: 2009-01-20
Genre: Mathematics

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.

Dynamical Systems

Author: Shlomo Sternberg
Publisher: Courier Corporation
ISBN: 9780486135144
Release Date: 2014-06-10
Genre: Mathematics

A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.

Elementary Point Set Topology

Author: Andre L. Yandl
Publisher: Courier Dover Publications
ISBN: 9780486803494
Release Date: 2016-05-18
Genre: Mathematics

This versatile, original approach, which focuses on learning to read and write proofs, serves as both an introductory treatment and a bridge between elementary calculus and more advanced courses. 2016 edition.

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.

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.

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.

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.

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.

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 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

An Introduction to Lebesgue Integration and Fourier Series

Author: Howard J. Wilcox
Publisher: Courier Corporation
ISBN: 0486682935
Release Date: 1994
Genre: Mathematics

This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.

Linear Algebra and Matrix Theory

Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 9780486623184
Release Date: 2012-10-17
Genre: Mathematics

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.

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.