Includes bibliographical references (p. 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.
