Five Golden Rules: Great Theories of 20th-Century Mathematics--and Why They Matter

by John Casti

John Wiley & Sons | September 8, 1997 | Trade Paperback

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Praise for Five Golden Rules

"Casti is one of the great science writers of the 1990s. . . . If you''d like to have fun while giving your brain a first-class workout, then check this book out."-Keay Davidson in the San Francisco Examiner.

"Five Golden Rules is caviar for the inquiring reader. . . . There is joy here in watching the unfolding of these intricate and beautiful techniques. Casti''s gift is to be able to let the nonmathematical reader share in his understanding of the beauty of a good theory." -Christian Science Monitor.

"Merely knowing about the existence of some of these golden rules may spark new, interesting-maybe revolutionary-ideas in your mind." -Robert Matthews in New Scientist (United Kingdom).

"This book has meat! It is solid fare, food for thought. Five Golden Rules makes math less forbidding and much more interesting." -Ben Bova in the Hartford Courant

"With this groundbreaking work, John Casti shows himself to be a great mathematics writer. Five Golden Rules is a feast of rare new delights all made perfectly comprehensible." -Rudy Rucker, author of The Fourth Dimension.

"With the lucid informality for which he has become known, John Casti has written an engaging and articulate examination of five great mathematical theorems and their myriad applications." -John Allen Paulos, author of A Mathematician Reads the Newspaper.

Format: Trade Paperback

Dimensions: 256 pages, 9.31 × 6.12 × 0.67 in

Published: September 8, 1997

Publisher: John Wiley & Sons

The following ISBNs are associated with this title:

ISBN - 10: 0471193372

ISBN - 13: 9780471193371

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– More About This Product –

Five Golden Rules: Great Theories of 20th-Century Mathematics--and Why They Matter

by John Casti

Format: Trade Paperback

Dimensions: 256 pages, 9.31 × 6.12 × 0.67 in

Published: September 8, 1997

Publisher: John Wiley & Sons

The following ISBNs are associated with this title:

ISBN - 10: 0471193372

ISBN - 13: 9780471193371

Table of Contents

The Minimax Theorem (Game Theory).

The Brouwer Fixed-Point Theorem (Topology).

Morse''s Theorem (Singularity Theory).

The Halting Theorem (Theory of Computation).

The Simplex Method (Optimization Theory).

Bibliography.

Index.

From the Publisher

Praise for Five Golden Rules

"Casti is one of the great science writers of the 1990s. . . . If you''d like to have fun while giving your brain a first-class workout, then check this book out."-Keay Davidson in the San Francisco Examiner.

"Five Golden Rules is caviar for the inquiring reader. . . . There is joy here in watching the unfolding of these intricate and beautiful techniques. Casti''s gift is to be able to let the nonmathematical reader share in his understanding of the beauty of a good theory." -Christian Science Monitor.

"Merely knowing about the existence of some of these golden rules may spark new, interesting-maybe revolutionary-ideas in your mind." -Robert Matthews in New Scientist (United Kingdom).

"This book has meat! It is solid fare, food for thought. Five Golden Rules makes math less forbidding and much more interesting." -Ben Bova in the Hartford Courant

"With this groundbreaking work, John Casti shows himself to be a great mathematics writer. Five Golden Rules is a feast of rare new delights all made perfectly comprehensible." -Rudy Rucker, author of The Fourth Dimension.

"With the lucid informality for which he has become known, John Casti has written an engaging and articulate examination of five great mathematical theorems and their myriad applications." -John Allen Paulos, author of A Mathematician Reads the Newspaper.

From the Jacket

Praise for Five Golden Rules

"Casti is one of the great science writers of the 1990s. . . . If you''d like to have fun while giving your brain a first-class workout, then check this book out."-Keay Davidson in the San Francisco Examiner.

"Five Golden Rules is caviar for the inquiring reader. . . . There is joy here in watching the unfolding of these intricate and beautiful techniques. Casti''s gift is to be able to let the nonmathematical reader share in his understanding of the beauty of a good theory." -Christian Science Monitor.

"Merely knowing about the existence of some of these golden rules may spark new, interesting-maybe revolutionary-ideas in your mind." -Robert Matthews in New Scientist (United Kingdom).

"This book has meat! It is solid fare, food for thought. Five Golden Rules makes math less forbidding and much more interesting." -Ben Bova in the Hartford Courant

"With this groundbreaking work, John Casti shows himself to be a great mathematics writer. Five Golden Rules is a feast of rare new delights all made perfectly comprehensible." -Rudy Rucker, author of The Fourth Dimension.

"With the lucid informality for which he has become known, John Casti has written an engaging and articulate examination of five great mathematical theorems and their myriad applications." -John Allen Paulos, author of A Mathematician Reads the Newspaper.

About the Author

JOHN L. CASTI is a resident member of the Santa Fe Institute and a professor at the Technical University of Vienna. He is the author of four other trade books, Would-Be Worlds (Wiley), Paradigms Lost, Searching for Certainty, and Complexification, as well as the two-volume Reality Rules, a text on mathematical modeling (also published by Wiley).

From Our Editors

In Five Golden Rules, John L. Casti serves as curator to a brilliant collection of 20th-century mathematical theories, leading us on a fascinating journey of discovery and insight. Probing the frontiers of modern mathematics, Casti examines the origins of some of the most important findings of this century. This is a tale of mystery and logic, elegance and reason; it is the story of five monumental mathematical breakthroughs and how they shape our lives. All those intrigued by the mathematical process, nonacademics and professionals alike, will find this an enlightening, eye-opening, and entertaining work. High school algebra or geometry - and enthusiasm - are the only prerequisites. From the theorem that provided the impetus for modern computers to the calculations that sent the first men to the Moon, these breakthroughs have transformed our lives. Casti illustrates each theorem with a dazzling array of real-world problems it has helped solve - how to calculate the shape of space, optimize investment returns, even chart the course of the development of organisms.
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