"David Mumford. B). (Cf. end of §3b, p. 182) We want to investigate the "
multiplication" induced on V by the isomorphism with w. We shall, as usual, look
at R-valued points. What we have to describe is then a binary operation on power
series, which we shall write "*". We find first of all, using the formula for the
isomorphism between A°° x Spec Q and V x Spec Q that ( 1 -at) * ( 1 -bt) = 1 - (ab)
t, when a and b are members of any r ..."
"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 coexisting symmetries. For a century, these images barely existed outside the imagi ..."
"This volume contains the first two out of four chapters which are intended to survey a large part of the theory of theta functions. These notes grew out of a series of lectures given at the Tata Institute of Fundamental Research in the period October, 1978, to March, 1979, on which notes were taken and excellently written up by C. Musili and M. Nori. I subsequently lectured at greater length on the contents of Chapter III at Harvard in ..."
Pattern Theory(1st Edition) The Stochastic Analysis of Real-World Signals (Applying Mathematics) by DavidMumford, Agnès Desolneux Hardcover, 375 Pages, Published 2010 by A K Peters/Crc Press ISBN-13: 978-1-56881-579-4, ISBN: 1-56881-579-4
"The Stochastic Analysis of Real-World SignalsGebundenes BuchThis book is an introduction to pattern theory, the theory behind the task of analyzing types of signals that the real world presents to us. It deals with generating mathematical models of the patterns in those signals and algorithms for analyzing the data based on these models. It exemplifies the view of applied mathematics as starting with a collection of problems from some a ..."
Indra's Pearls(1st Edition) The Vision of Felix Klein by DavidMumford, Caroline Series, David Wright Hardcover, 418 Pages, Published 2002 by Cambridge University Press Mobipocket_Ebook ISBN-13: 978-0-521-35253-6, ISBN: 0-521-35253-3
"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 coexisting symmetries. For a century, these images barely existed outside the imagi ..."
Selected Papers I On the Classification of Varieties and Moduli Spaces by DavidMumford Qc Hardcover, 795 Pages, Published 2004 by Springer ISBN-13: 978-0-387-21092-6, ISBN: 0-387-21092-X
"In this note I would like to use the beautifully simple method introduced by Tony
larrobino [1] — when he proved that there are 0-dimensional sub- schemes of P3
which are not specializations of reduced subschemes — to prove here that there
are also reduced and irreducible complete curves which are not specializations
of non-singular curves. Since there are no global obstructions in deforming
reduced curves, this also shows that the ..."
"This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2012 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of ma ..."
Numbers and the World by DavidMumford Paperback, 241 Pages, Published 2023 by American Mathematical Society ISBN-13: 978-1-4704-7051-7, ISBN: 1-4704-7051-9
"The Third Edition of CALCULUS reflects the strong consensus within the mathematics community for a new balance between the contemporary ideas of the original editions of this book and ideas and topics from earlier calculus books. Building on previous work, this Third Edition has the same philosophy as earlier editions but represents a new balance of topics. CALCULUS 3/e brings together the best of both new and traditional curricula in a ..."
"This text is an unbound, binder-ready edition. This Sixth Edition of Calculus continues the effort to promote courses in which understanding and computation reinforce each other. Calculus: Single and Multivariable 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and mode ..."
""Calculus: Multivariable, 6th Edition" continues the effort to promote courses in which understanding and computation reinforce each other. The 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. For instructors wishing to emphasize the connection between calc ..."
"The new edition of this celebrated and long-unavailable book preserves much of the content and structure of the original, which is still unrivaled in its presentation of a universal method for the resolution of a class of singularities in algebraic geometry. At the same time, the book has been completely retypeset, errors have been eliminated, proofs have been streamlined, the notation has been made consistent and uniform, an index has ..."
Selected Papers(Reprint) On the Classification of Varieties and Moduli Spaces by DavidMumford Paperback, 795 Pages, Published 2010 by Springer ISBN-13: 978-1-4419-1936-6, ISBN: 1-4419-1936-8
"Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics. Many of these papers are currently unavailable, and the commentaries by Gieseker, Lange, Viehweg and Kempf are being published here for the first time."
Pattern Theory The Stochastic Analysis of Real-World Signals by DavidMumford, Agnès Desolneux 375 Pages, Published 2010 by Crc Press ISBN-13: 978-1-4398-6556-9, ISBN: 1-4398-6556-6
"Geoffrey Grimmett and David Stirzaker. Probability and Random Processes, Third
edition. Oxford: Oxford University Press, 2001. Morton Gurtin. An Introduction to
Continuum Mechanics. New York: Academic Press, 1981. Peter Hallinan, Gaile
Gordon, Alan Yuille, Peter Giblin, and David Mumford. Twoand Three-
Dimensional Patterns of the Face. Natick, MA: A K Peters, Ltd., 1999. Peter
Hallinan. “A Low-Dimensional Representation of Human Fac ..."
"<P>MUMFORD IS A WELL-KNOWN MATHEMATICIAN AND WINNER OF THE FIELDS MEDAL, THE HIGHEST HONOR AVAILABLE IN MATHEMATICS</P> <P>MANY OF THESE PAPERS ARE CURRENTLY UNAVAILABLE, AND THE CORRESPONDENCE WITH GROTHENDIECK HAS NEVER BEFORE BEEN PUBLISHED</P>"
"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 ..."
A Stochastic Grammar of Images (Foundations and Trends(r) in Computer Graphics and Vision) by Song-Chun Zhu, DavidMumford Paperback, 120 Pages, Published 2007 by Now Publishers Inc ISBN-13: 978-1-60198-060-1, ISBN: 1-60198-060-4
"A Stochastic Grammar of Images is the first book to provide a foundational review and perspective of grammatical approaches to computer vision. In its quest for a stochastic and context sensitive grammar of images, it is intended to serve as a unified frame-work of representation, learning, and recognition for a large number of object categories. It starts out by addressing the historic trends in the area and overviewing the main con ..."
"This volume is the third of a three volume series surveying the theory of theta functions which play a central role in the fields of complex analysis, algebraic geometry, number theory and most recently particle physics. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic funct ..."
"Striking a balance between concepts, modeling, and skills, this highly acclaimed book arms readers with an accessible introduction to calculus. It builds on the strengths from previous editions, presenting key concepts graphically, numerically, symbolically, and verbally. Guided by this innovative Rule of Four approach, the fourth edition examines new topics while providing readers with a strong conceptual understanding of the material."
"Striking a balance between concepts, modeling, and skills, this highly acclaimed book arms readers with an accessible introduction to calculus. It builds on the strengths from previous editions, presenting key concepts graphically, numerically, symbolically, and verbally. Guided by this innovative Rule of Four approach, the fourth edition examines new topics while providing readers with a strong conceptual understanding of the material."