The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.
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Inside This Book
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First Sentence:
The Greeks believed that mathematics originated in Egypt. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
distinct unit fractions, amicable pair, quadratic surd, positive integer solutions, rational operations, tenth problem, concrete category, regular polyhedra Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclid's Elements, Gödel's Incompleteness Theorem, Ars Magna, Binomial Theorem, Carl Friedrich Gauss, Intuitionistic Propositional Calculus, Professor Tournesol, Quaternions Applied, Rhind Papyrus, Cardinal Arithmetic, Gödel's Lemma, Julia Robinson, Menelaus's Theorem, New Beginnings, Peano's Approach, Abraham de Moivre, Bertrand Russell, Eratosthenes of Cyrene, Fundamental Lemma of Arithmetic, Isaac Barrow, Kurt Gödel, Leonardo of Pisa, Linear Diophantine Equations, Middle Ages, Pierre Wantzel New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The Greeks believed that mathematics originated in Egypt. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
distinct unit fractions, amicable pair, quadratic surd, positive integer solutions, rational operations, tenth problem, concrete category, regular polyhedra Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclid's Elements, Gödel's Incompleteness Theorem, Ars Magna, Binomial Theorem, Carl Friedrich Gauss, Intuitionistic Propositional Calculus, Professor Tournesol, Quaternions Applied, Rhind Papyrus, Cardinal Arithmetic, Gödel's Lemma, Julia Robinson, Menelaus's Theorem, New Beginnings, Peano's Approach, Abraham de Moivre, Bertrand Russell, Eratosthenes of Cyrene, Fundamental Lemma of Arithmetic, Isaac Barrow, Kurt Gödel, Leonardo of Pisa, Linear Diophantine Equations, Middle Ages, Pierre Wantzel New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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94
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- Mathematics: A Concise History and Philosophy (Undergraduate Texts in Mathematics / Readings in Mathematics) by W.S. Anglin in Front Matter, Back Matter (1), and Back Matter (2)
- Mathematics and its History by John Stillwell on page 124, Back Matter (1), and Back Matter (2)
- Projective Geometry (Undergraduate Texts in Mathematics / Readings in Mathematics) by Pierre Samuel in Front Matter, and Back Matter
- Glimpses of Algebra and Geometry by Gabor Toth in Front Matter, and Back Matter
- The History of Mathematics: An Introduction (reprint ISBN) by David M. Burton on page 167, and Back Matter
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- The Pleasures of Probability (Undergraduate Texts in Mathematics / Readings in Mathematics) by Richard Isaac in Front Matter, and Back Matter
- Second Year Calculus: From Celestial Mechanics to Special Relativity (Undergraduate Texts in Mathematics / Readings in Mathematics) by David M. Bressoud in Front Matter, and Back Matter
- Mathematical Expeditions: Chronicles by the Explorers (Undergraduate Texts in Mathematics) by Reinhard Laubenbacher in Front Matter, and Back Matter
- Numbers and Geometry by John Stillwell in Front Matter, and Back Matter
- Topology of Surfaces (Undergraduate Texts in Mathematics) by L.Christine Kinsey in Front Matter
See all 94 books citing this book
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