Architecture of Modern Mathematics: Essays in History and Philosophy

José Ferreirós Domínguez; Jeremy Gray

Oxford University Press, USA | 2006 | 204 páginas | PDF | 1,8 Mb

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Descrição: This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the
philosophy of mathematics must be reconsidered in the light of the latest historical research and how a number of historical accounts can be deepened by embracing philosophical questions.

Figures of Thought: Mathematics and Mathematical Texts

David Reed

Routledge | 1994 | 208 páginas | 1,82 Mb

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Descrição: Figures of Thought looks at how mathematical works can be read as texts and examines their textual strategies. David Reed offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts.

Reed selects mathematicians from a range of historical periods and compares their approaches to organizing and arguing texts, using an extended commentary on Euclid's Elements as a central structuring framework. He develops fascinating interpretations of mathematicians' work throughout history, from Descartes to Hilbert, Kronecker, Dedekind, Weil and Grothendieck. Reed traces the implications of this approach to the understanding of the history and development of mathematics.

A to Z of Mathematicians

(Notable Scientists)
McElroy Tucker

Facts on File | 2004 | 308 páginas | pdf | 3,35 Mb

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It is difficult to evaluate contemporary mathematicians without the benefit of a retrospective viewpoint, separated by several decades. This comprehensive single-volume A-to-Z reference covers both the past and present scientists who have significantly contributed to the field of mathematics. Including all of the central mathematicians, as well as other lesser-known persons in the field who made serious contributions, this inclusive reference covers the major areas of algebra, analysis, geometry, and foundational statisticians.

Special features include indexes by field of specialization, nationality, and subject area; a helpful bibliography; and appendixes listing the mathematicians covered by country of birth, country of work, field of specialization, nationality, and subject area. Covering notable mathematicians from antiquity to the present, this is an ideal reference for middle and high school students.

Entries include:

• Archimedes of Syracuse
• Georg Cantor
• René Descartes
• Euclid
• Leonhard Euler
• Fibonacci
• Carl Friedrich Gauss
• Kurt Gödel
• David Hilbert
• Pythagoras
• Srinivasa Aaiyangar Ramanujan
• (George Friedrich) Bernhard Riemann
• Brook Taylor
• John Von Neumann
• Zeno of Elea
• and more.