Mathematica is revolutionizing mathematics. What the electronic calculator did for arithmetic in the '70s, a powerful new computer language, Mathematica, is doing for all mathematical calculations today. In this task-specific guide to Mathematica for mathematically sophisticated applications, Stan Wagon's goal is to develop the user's mathematical ...
This book contains the best problems selected from over 25 years of the Problem of the Week at Macalester College. This collection will give students, teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of ...
This workbook contains over two dozen laboratory modules that use Mathematica to enliven the teaching and learning of calculus. The labs range from standard calculus topics to new and unusual extensions and applications.
Containing 22 laboratory notebooks that use Mathematica, this work includes: demonstrating and interactive exercises emphasizing mainstream calculus but including ancillary topics and applications; and computer animations that clarify geometric concepts in calculus.
Examines the visualization of differential equations with user-configurable tools. This text uses the computer algebra system, Mathematica, to provide an integrated environment for programming, visualizing graphics, and running commentary for learning and working with differential equations.
Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical ...
The authors, members of teams that solved all 10 problems, show in detail multiple approaches for solving each problem, ranging from elementary to sophisticated, from brute-force to schemes that can be scaled to provide thousands of digits of accuracy and that can solve even larger related problems. The authors touch on virtually every major ...
This text will be a modern introduction to number theory, a course taught at most colleges and universities, primarily to math and c.s. majors, and will place heavy and continuing emphasis on algorithmic aspects of the subject. The language of the algorithms used will be the popular Mathematica, and a comprehensive set of notebooks will be ...
The "Course in Computational Number Theory" uses the computer as a tool for motivation and explanation. The book is designed for the reader to quickly access a computer and begin doing personal experiments with the patterns of the integers. It presents and explains many of the fastest algorithms for working with integers. Traditional topics are ...
Dieses Buch fA1/4hrt seine Leser auf einen packenden Streifzug durch die wichtigsten und leistungsfAhigsten Bereiche zeitgenAssischer numerischer Mathematik. Die Route orientiert sich an den 10 Wettbewerbsaufgaben der "SIAM 10 x 10-Digit Challenge," mit der Nick Trefethen aus Oxford im FrA1/4hjahr 2002 seine Kollegen und ihre Doktoranden weltweit ...
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