Description |
ix, 160 pages : illustrations ; 24 cm |
Bibliography |
Includes bibliographical references (pages 131-156) and index. |
Contents |
Scientific Thinking -- What Is Mathematics? -- The Erlangen Program -- Mathematics and Ideologies -- The Unity of Mathematics -- A Glimpse into Algebraic Geometry and Arithmetic -- A Trip to Nancy with Alexander Grothendieck -- Structures -- The Computer and the Brain -- Mathematical Texts -- Honors -- Infinity: The Smoke Screen of the Gods -- Foundations -- Structures and Concept Creation -- Turing's Apple -- Mathematical Invention: Psychology and Aesthetics -- The Circle Theorem and an Infinite-Dimensional Labyrinth -- Mistake! -- The Smile of Mona Lisa -- Tinkering and the Construction of Mathematical Theories -- The Strategy of Mathematical Invention -- Mathematical Physics and Emergent Behavior -- The Beauty of Mathematics. |
Subject |
Mathematics -- Philosophy.
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Mathematicians -- Psychology.
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ISBN |
9780691129822 (cl : acid-free paper) |
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0691129827 (cl : acid-free paper) |
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