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Author: Mark Pinsky
Publisher: Cambridge University Press
ISBN: 0521895278
Category : Mathematics
Languages : en
Pages : 405
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Book Description
Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.
Author: Mark Pinsky
Publisher: Cambridge University Press
ISBN: 0521895278
Category : Mathematics
Languages : en
Pages : 405
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Book Description
Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.
Author: Luis A. Santaló
Publisher: Cambridge University Press
ISBN: 0521523443
Category : Mathematics
Languages : en
Pages : 426
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Book Description
Classic text on integral geometry now available in paperback in the Cambridge Mathematical Library.
Author: Luis Antonio Santaló
Publisher:
ISBN:
Category : Geometric probabilities
Languages : en
Pages : 454
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Book Description
Author: F. Alberto Grünbaum
Publisher: Birkhäuser
ISBN: 3319222376
Category : Mathematics
Languages : en
Pages : 418
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Book Description
This volume presents a selection of papers by Henry P. McKean, which illustrate the various areas in mathematics in which he has made seminal contributions. Topics covered include probability theory, integrable systems, geometry and financial mathematics. Each paper represents a contribution by Prof. McKean, either alone or together with other researchers, that has had a profound influence in the respective area.
Author: Percy Deift
Publisher: Cambridge University Press
ISBN: 1107079926
Category : Language Arts & Disciplines
Languages : en
Pages : 539
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Book Description
This volume includes review articles and research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles.
Author: Ron Donagi
Publisher: Cambridge University Press
ISBN: 1108715745
Category : Mathematics
Languages : en
Pages : 421
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Book Description
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Author: Daniel A. Klain
Publisher: Cambridge University Press
ISBN: 9780521596541
Category : Mathematics
Languages : en
Pages : 196
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Book Description
The purpose of this book is to present the three basic ideas of geometrical probability, also known as integral geometry, in their natural framework. In this way, the relationship between the subject and enumerative combinatorics is more transparent, and the analogies can be more productively understood. The first of the three ideas is invariant measures on polyconvex sets. The authors then prove the fundamental lemma of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are investigated, yielding insights into Hecke algebras, Schubert varieties and the quantum world, as viewed by mathematicians. Geometers and combinatorialists will find this a most stimulating and fruitful story.
Author: Ron Donagi
Publisher: Cambridge University Press
ISBN: 110880358X
Category : Mathematics
Languages : en
Pages : 421
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Book Description
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.
Author: Ovidiu Calin
Publisher: Springer
ISBN: 3319077791
Category : Mathematics
Languages : en
Pages : 389
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Book Description
This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors’ hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.
Author: Anton Dzhamay
Publisher: American Mathematical Soc.
ISBN: 0821887475
Category : Mathematics
Languages : en
Pages : 363
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Book Description
This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates