| Description |
1 online resource (xv, 344 pages) : illustrations (some color) |
| Contents |
Intro -- The book of time -- Preface -- Contents -- About the Author -- 1 The Middle East, or the Beginning -- The Origins of Mathematics -- The Beginnings of Counting -- Number Bases -- Arabic Numerals -- Shape and Geometry -- Civilization on the Nile River -- A Peculiar Terrain -- The Rhind Papyrus -- Egyptian Fractions -- Between the Rivers -- Babylonia -- The Clay Tablets -- Plimpton 322 -- Conclusion -- 2 The Sages of Ancient Greece -- The Birth of Mathematicians -- The Greek Arena -- The First Proofs -- Pythagoras -- The Platonic Academy -- Zeno's Tortoise -- Plato's Academy |
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Mahāvīra -- Bhāskara II -- Sacred Land -- The Arabian Empire -- The House of Wisdom in Baghdad -- The Algebra of al-Khwarizmi -- The Scholars of Persia -- Omar Khayyam -- Nasir al-Din al-Tusi -- Jamshīd al-Kāshī -- Conclusion -- 5 From the Renaissance to the Birth of Calculus -- The Renaissance in Europe -- Medieval Europe -- Fibonacci's Rabbits -- Alberti's Perspective Method -- Da Vinci and Dürer -- The Invention of Calculus -- The Awakening of New Mathematics -- Analytic Geometry -- The Pioneers of Calculus -- Newton and Leibniz -- Conclusion -- 6 The Age of Analysis and the French Revolution |
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The Age of Analysis -- The King of the Amateurs -- The Further Development of Calculus -- The Influence of Calculus -- The Bernoulli Family -- The French Revolution -- Napoleon Bonaparte -- The Lofty Pyramid -- The French Newton -- The Emperor's Friend -- Conclusion -- 7 Modern Mathematics, Modern Art -- The Rebirth of Algebra -- Toward a Rigorous Treatment of Analysis -- Abel and Galois -- The Quaternions of William Rowan Hamilton -- A Revolution in Geometry -- A Scandal in Elementary Geometry -- The Arrival of Non-Euclidean Geometry -- Riemannian Geometry -- A New Era of Art -- Edgar Allan Poe |
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Baudelaire -- From Imitation to Wit -- Conclusion -- 8 Abstraction: Mathematics Since the Twentieth Century -- The Road to Abstraction -- Set Theory and Axiomatic Systems -- The Abstraction of Mathematics -- Abstraction in Art -- Applications of Mathematics -- Theoretical Physics -- Biology and Economics -- Computers and Chaos Theory -- Mathematics and Logic -- Russell's Paradox -- Wittgenstein -- Gödel's Theorems -- Conclusion -- A A Mathematical Chronology -- B The Origin of Some Common Mathematical Symbols -- Bibliography -- Index |
| Summary |
This volume, originally published in China and translated into four other languages, presents a fascinating and unique account of the history of mathematics, divided into eight chronologically organized chapters. Tracing the development of mathematics across disparate regions and peoples, with particular emphasis on the relationship between mathematics and civilization, it examines mathematical sources and inspirations leading from Egypt, Babylon and ancient Greece and expanding to include Chinese, Indian and Arabic mathematics, the European Renaissance and the French revolution up through the Nineteenth and Twentieth Centuries. Each chapter explores connections among mathematics and cultural elements of the time and place treated, accompanying the reader in a varied and exciting journey through human civilizations. The book contemplates the intersections of mathematics with other disciplines, including the relationship between modern mathematics and modern art, and the resulting applications, with the aid of images and photographs, often taken by the author, which further enhance the enjoyment for the reader. Written for a general audience, this book will be of interest to anyone who's studied mathematics in university or even high school, while also benefiting researchers in mathematics and the humanities. |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Translated from the Chinese |
|
Online resource; title from PDF title page (SpringerLink, viewed August 3, 2023) |
| Subject |
Mathematics -- History
|
|
Mathematics
|
| Genre/Form |
History
|
| Form |
Electronic book
|
| ISBN |
9783031268410 |
|
3031268415 |
|
