The interaction between computers and mathematics is becoming more and more important at all levels as computers become more sophisticated. This book shows how simple programs can be used to do significant mathematics. The purpose of this book is to give those with some mathematical background a wealth of material with which to appreciate both the power of the microcomputer and its relevance to the study of mathematics. The authors cover topics such as number theory, approximate solutions, differential equations and iterative processes, with each chapter self contained. Many exercises and projects are included giving ready-made material for demonstrating mathematical ideas. Only fundamental knowledge of mathematics is assumed and programming is restricted to "basic BASIC" which will be understood by any microcomputer. The book may be used as a textbook for algorithmic mathematics at several levels, since all the topics covered appear in any undergraduate mathematics course.
"...an excellent reference book for anyone wishing to incorporate computing into the lower-level mathematics curriculum." American Mathematical Monthly "Even without taking the time to run the computer programs, one learns by reading the book and examining the illustrations therein that visual effects provide a teaching aid that can be very convincing and informative. The authors have presented a marvelous collection of problems, ideas of how they are solved and illustrations to make the solutions understandable." Gerald J. Janusz, Mathematical Reviews "I heartily recommend this book about exploring mathematics using computers to many people...particularly worthwhile for mathematics teachers at all levels, for school and public libraries, for computer and other professionals to whom mathematics is fundamental, and for any individual interested in mathematics who has access to a computer." Henry Bentrup, Jr., Computing Reviews