# David Mumford

Full Name: David Mumford

Number of Works: 26

Number of Works: 26

ISBN: 0521352533, 9780521352536

Keywords: klein, felix, vision, pearls, indra

Pages: 416

Published: 2002

Keywords: klein, felix, vision, pearls, indra

Pages: 416

Published: 2002

Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries, each simple in itself, but whose interactions produce fractals on the edge of chaos. For a century these images, which were practically impossible to draw by hand, barely existed outside the imagination of mathematician

ISBN: 354063293X, 9783540632931

Keywords: jacobians, curves, lecture, notes, mathematics, lectures, michigan, book, varieties, schemes, includes, red

Pages: 304

Published: 1988

Keywords: jacobians, curves, lecture, notes, mathematics, lectures, michigan, book, varieties, schemes, includes, red

Pages: 304

Published: 1988

ISBN: 1568815794, 9781568815794

Keywords: world, signals, real, analysis, theory, stochastic, pattern

Pages: 375

Published: 2010

Keywords: world, signals, real, analysis, theory, stochastic, pattern

Pages: 375

Published: 2010

ISBN: 0964605902, 9780964605909

Keywords: happiest, place, earth, years, journey, nickel, tour, postcard, disneyland

Pages: 368

Published: 1995

Keywords: happiest, place, earth, years, journey, nickel, tour, postcard, disneyland

Pages: 368

Published: 1995

ISBN: 0817645705, 9780817645700

Keywords: birkhã¤user, classics, modern, iii, lectures, theta, tata

Pages: 202

Published: 2006

Keywords: birkhã¤user, classics, modern, iii, lectures, theta, tata

Pages: 202

Published: 2006

ISBN: 0387076034, 9780387076034

Keywords: comprehensive, studies, mathematics, series, varieties, geometry, complex, projective, algebraic

Pages: 186

Published: 1981

Keywords: comprehensive, studies, mathematics, series, varieties, geometry, complex, projective, algebraic

Pages: 186

Published: 1981

ISBN: 0817631100, 9780817631109

Keywords: theta, differential, equations, functions, jacobian, lectures, tata

Pages: 296

Published: 1992

Keywords: theta, differential, equations, functions, jacobian, lectures, tata

Pages: 296

Published: 1992

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics. This book presents an explicit elementary construction of hyperelliptic Jacobian varieties and is a self-contained introduction to the theory of the Jacobians. It also ties together nineteenth-century discoveries due to Jacobi, Neumann, and Frobenius with rece

Now back in print, the revised edition of this popular study gives a systematic account of the basic results about abelian varieties. Mumford describes the analytic methods and results applicable when the ground field k is the complex field C and discusses the scheme-theoretic methods andresults used to deal with inseparable isogenies when the ground field k has characteristic p. The author also provides a self-contained proof of the existence of a dual abeilan variety, reviews the structure of the ring of endormorphisms, and includes in appendices "The Theorem of Tate" and the&quo