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''From Here to Infinity: A Guide to Today's Mathematics'', a 1996 book by mathematician and science popularizer Ian Stewart, is a guide to modern mathematics for the general reader. It aims to answer questions such as "What is mathematics?", "What is it for " and "What are mathematicians doing nowadays?". Author Simon Singh describes it as "An interesting and accessible account of current mathematical topics".〔(My Favourite Mathematics Books ), Simon Singh〕 ==Summary== After an introductory chapter ''The Nature of Mathematics'', Stewart devotes each of the following 18 chapters to an exposition of a particular problem that has given rise to new mathematics or an area of research in modern mathematics. *Chapter 2 - ''The Price of Primality'' - primality tests and integer factorisation *Chapter 3 - ''Marginal Interest'' - Fermat's last theorem *Chapter 4 - ''Parallel Thinking'' - non-Euclidean geometry *Chapter 5 - ''The Miraculous Jar'' - Cantor's theorem and cardinal numbers *Chapter 6 - ''Ghosts of Departed Quantities'' - calculus and non-standard analysis *Chapter 7 - ''The Duellist and the Monster'' - the classification of finite simple groups *Chapter 8 - ''The Purple Wallflower'' - the four colour theorem *Chapter 9 - ''Much Ado About Knotting'' - topology and the Poincaré conjecture *Chapter 10 - ''More Ado About Knotting'' - knot polynomials *Chapter 11 - ''Squarerooting the Unsquarerootable'' - complex numbers and the Riemann hypothesis *Chapter 12 - ''Squaring the Unsquarable'' - the Banach-Tarski paradox *Chapter 13 - ''Strumpet Fortune'' - probability and random walks *Chapter 14 - ''The Mathematics of Nature'' - the stability of the Solar System *Chapter 15 - ''The Patterns of Chaos'' - chaos theory and strange attractors *Chapter 16 - ''The Two-and-a-halfth Dimension'' - fractals *Chapter 17 - ''Dixit Algorizmi'' - algorithms and NP-complete problems *Chapter 18 - ''The Limits of Computability'' - Turing machines and computable numbers *Chapter 19 - ''The Ultimate in Technology Transfer'' - experimental mathematics and the relationship between mathematics and science 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「From Here to Infinity (book)」の詳細全文を読む スポンサード リンク
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