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Search for Certaint A Journey Through the History of Mathematics, 1800-2000

ISBN-10: 0486474429

ISBN-13: 9780486474427

Edition: N/A

Authors: Frank J. Swetz

List price: $17.50
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Description:

Self-contained and authoritative, this history of mathematics is suited to those with no math background. Its absorbing, entertaining essays focus on the era from 1800 to 2000. Contributors include Henri Poincare, Judith V. Grabiner, and H. S. M. Coxeter, who discuss topics ranging from logic and infinity to Fermat's Last Theorem.
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Book details

List price: $17.50
Publisher: Dover Publications, Incorporated
Publication date: 9/19/2012
Binding: Paperback
Pages: 224
Size: 7.00" wide x 10.00" long x 0.50" tall
Weight: 0.946
Language: English

Preface
Perspective: The Search for Certainty
The Changing Concept of Change: The Derivative from Fermat to Weierstrass
Niels Henrik Abel
Olivier and Abel on Series Convergence: An Episode from Early 19th Century Analysis
The Parallel Postulate
Saccheri, Forerunner of Non-Euclidean Geometry
Synopsis of Major Geometries
The Evolution of Group Theory: A Brief Survey
The Men Responsible for the Development of Vectors
The Noncommutative Algebra of William Rowan Hamilton
Matrix Theory I: Arthur Cayley-Founder of Matrix Theory
Matrix Theory II: Basic Properties
Matrix Theory III: The Characteristic Equation; Minimal Polynomials
Sylvester and Scott
The Early Beginnings of Set Theory
Infinity: The Twilight Zone of Mathematics
Irrationals or Incommensurables V: Their Admission to the Realm of Numbers
The Genesis of Point Set Topology: From Newton to Hausdorff
The Origin of the Four-Color Conjecture
Topological Diversions
Meta-Mathematics and the Modern Conception of Mathematics
Intuition and Logic in Mathematics
The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism
Kurt G�del, Mathematician and Logician
Thinking the Unthinkable: The Story of Complex Numbers (with a Moral)
The Development of Modern Statistics
A Chronological Outline of the Evolution of Computing Devices
ENIAC: The First Computer
Dynamical Systems: Birkhoff and Smale
Fermat's Last Theorem: 1637-1988
Editor's Note: Fermat's Last Theorem, 1993
The Tree of Mathematics
Epilogue: Mathematics, A Living Organism
Suggested Readings
Index