Zermelo's Axiom of Choice by Gregory H Moore
The Axiom of Choice is the most controversial axiom in the entire history of mathematics. Yet it remains a crucial assumption not only in set theory but equally in modern algebra, analysis, mathematical logic, and topology (often under the name Zorn's Lemma). This treatment is the only full-length history of the axiom in English, and is much more complete than the two other books on the subject, one in French and the other in Russian. This book covers the Axiom's prehistory of implicit uses in the 19th century, its explicit formulation by Zermelo in 1904, the firestorm of controversy that it caused -- in England, France, Germany, Italy, and the U.S. -- its role in stimulating his axiomatization of set theory in 1908, and its proliferating uses all over mathematics throughout the 20th century.The book is written so as to be accessible to the advanced mathematics undergraduate, but equally to be informative and stimulating to the professional mathematician. Most technical terms are defined in footnotes, making it accessible by students of the philosophy of mathematics as well.
This new edition has an expanded bibliography and a new preface examining developments since its original 1982 publication.
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Galois Theory
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Non-Euclidean Geometry
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The Magic of Numbers
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Elements of Abstract Algebra
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Principles of Statistics
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Elementary Concepts of Topology
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Trigonometry Refresher
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A Geometric Introduction to Topology
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Calculus Refresher
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Fibonacci and Lucas Numbers, and the Golden Section
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Introduction to Artificial Intelligence
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Intriguing Mathematical Problems
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Calculus of Variations
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Algebraic Number Theory
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History of Mathematics: General Survey of the History of Elementary Mathematics v. 1
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Mathematical Puzzling
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Practical Statistics Simply Explained
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Calculus and Statistics
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Statistical Adjustment of Data
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Basic Set Theory
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The Malliavin Calculus
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Elementary Decision Theory
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Logic and Boolean Algebra
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Greek Mathematical Thought and the Origin of Algebra
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Elementary Matrix Theory
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Introduction to Field Theory
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Introduction to Partial Differential Equations
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Modern Nonlinear Equations
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Mathematical Physics
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The Foundations of Statistics
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The Gamma Function
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The Mathematics of Games
- Theory of Markov Processes
- The Theory of Remainders
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Structure of Algebras
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Lectures on Functional Equations and Their Applications
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Combinatorics for Computer Science
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Lectures on Elementary Number Theory
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Numbers
| SKU | Unavailable |
| ISBN 13 | 9780486488417 |
| ISBN 10 | 0486488411 |
| Title | Zermelo's Axiom of Choice |
| Author | Gregory H Moore |
| Series | Dover Books On Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Dover Publications Inc. |
| Year published | 2013-03-21 |
| Number of pages | 448 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |