Appropriate for undergraduate and select graduate courses in the history of mathematics, and in the history of science.
This edited volume of readings contains more than 130 selections from eminent mathematicians from A `h-mose' to Hilbert and Noether. The chapter introductions comprise a concise history of mathematics based on critical textual analysis and the latest scholarship. Each reading is preceded by a substantial biography of its author.
Prove that a particle moving under gravity in a plane from a fixed point P to a vertical line L will reach the line in minimum time by following the cycloid from P to L that intersects L at right angles. FURTHER READINGS AKHIEZER, N. I. ...
Taussky, O., Todd, J.: Commuting bilinear transformations and matrices. J. Washington Acad. Sci. 46, 373–375 (1956). Taylor, T.: See Baumslag, G. Thompson, R. J.: A finitely presented infinite simple group. Unpublished.
Udvalgte artikler fra bøger og tidsskrifter fra perioden 1947-1996
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition.
"This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)
This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others.
This volume is intended as an essentially self contained exposition of portions of the theory of second order quasilinear elliptic partial differential equations, with emphasis on the Dirichlet problem in bounded domains.
This is much less so in mathematics.1 Modern-day mathematicians can learn (and even find good ideas) by reading the best of the papers of bygone years. In preparing this volume, I was surprised by many of the ideas that come up.
'What is a self and how can a self come out of inanimate matter?' This is the riddle that drove Douglas Hofstadter to write this extraordinary book.