The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process... read more
Customers who bought this book also bought:
Our Editors also recommend:
Mathematical Puzzling by A. Gardiner Challenging brainteasers using squares, cubes, polyhedra, prime numbers, chess pieces, and other subjects help high school students integrate simple techniques and complex problem-solving strategies in an enjoyable way. Solutions included. 1987 edition.
Understanding Infinity: The Mathematics of Infinite Processes by A. Gardiner An introduction to "why the calculus works," this volume offers a 4-part treatment, from an overview and detailed examination of the infinite processes to the evolution of the concept of functions. 1982 edition.
Mathematics and Logic by Mark Kac, Stanislaw M. Ulam Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, more. Includes 34 illustrations. 1968 edition.
Great Ideas of Modern Mathematics by Jagjit Singh Internationally famous expositor discusses differential equations, matrices, groups, sets, transformations, mathematical logic, and other important areas in modern mathematics. He also describes their applications to physics, astronomy, and other fields. 1959 edition.
Mathematics: The Man-Made Universe by Sherman K. Stein Highly readable volume covers number theory, topology, set theory, geometry, algebra, and analysis, plus the primes, fundamental theory of arithmetic, probability, and more. Solutions manual available upon request. 1994 edition.
Playing with Infinity by Rózsa Péter Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.
Nonlinear Mathematics by Thomas L. Saaty, Joseph Bram This text examines linear and nonlinear transformations; nonlinear algebraic and transcendental equations; nonlinear optimization; nonlinear programming and systems of inequalities; nonlinear ordinary differential equations, and much more. Exercises included. 1964 edition.
Product Description:
The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.
Reprint of the Oxford University Press, Oxford, 1987 edition.
This book was printed in the United States of America.
Dover books are made to last a lifetime. Our US book-manufacturing partners produce the highest quality books in the world and they create jobs for our fellow citizens. Manufacturing in the United States also ensures that our books are printed in an environmentally friendly fashion, on paper sourced from responsibly managed forests.
