Mathematics and Mathematical Texts
Buch, Englisch, 208 Seiten, Format (B × H): 148 mm x 232 mm, Gewicht: 386 g
ISBN: 978-0-415-08146-7
Verlag: Taylor & Francis Ltd (Sales)
David Reed, a professional mathematician himself, offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts. In doing so he develops new and fascinating interpretations of mathematicians' work throughout history, from an in-depth analysis of Euclid's Elements, to the mathematics of Descartes and right up to the work of contemporary mathematicians such as Grothendeick. He also traces the implications of this approach to the understanding of the history and development of mathematics.
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Preface Introduction Part I: The Subject Matter of Geometry in Euclid, Descartes and Hilbert 1. The Opening of The Elements 2. Propositions and Proofs - Theorems and Problems Part II 1. The Contexts of Measurement 2. Number Theory in the 19th Century Appendix Part III Introduction 1. Types of Wholes 2. Generality in Contemporary Mathematics Conclusion