Author : Phillip Griffiths
Publisher : American Mathematical Soc.
Page : 816 pages
File Size : 22,15 MB
Release : 2003
Category : Mathematics
ISBN : 9780821820872
Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.
Author : Phillip Griffiths
Publisher :
Page : 640 pages
File Size : 29,93 MB
Release : 2003
Category : Analytic spaces
ISBN :
Author : Phillip Griffiths
Publisher : American Mathematical Soc.
Page : 598 pages
File Size : 23,20 MB
Release : 2003
Category : Mathematics
ISBN : 9780821820896
Covers analytic geometry, algebraic geometry, variations of Hodge Structures, and differential systems. This book also provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.
Author : Young Jin Suh
Publisher : Springer
Page : 510 pages
File Size : 42,16 MB
Release : 2014-12-05
Category : Mathematics
ISBN : 4431552154
Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10–12, 2014. The book covers various aspects of differential geometry focused on submanifolds, symmetric spaces, Riemannian and Lorentzian manifolds, and Kähler and Grassmann manifolds.
Author : Sigurdur Helgason
Publisher : American Mathematical Soc.
Page : 765 pages
File Size : 26,58 MB
Release : 2009
Category : Mathematics
ISBN : 0821847538
Collects the articles that cover invariant differential operators, geometric properties of solutions to differential equations on symmetric spaces, double fibrations in integral geometry, spherical functions and spherical transforms, duality for symmetric spaces, representation theory, and the Fourier transform on G/K.
Author : Alberto P. Calderón
Publisher : American Mathematical Soc.
Page : 686 pages
File Size : 23,37 MB
Release : 2008
Category : Mathematics
ISBN : 9780821842973
Alberto Calderon was one of the leading mathematicians of the twentieth century. His fundamental, pioneering work reshaped the landscape of mathematical analysis. This volume presents a wide selection from some of Calderon's most influential papers. They range from singular integrals to partial differential equations, from interpolation theory to Cauchy integrals on Lipschitz curves, from inverse problems to ergodic theory. The depth, originality, and historical impact of these works are vividly illustrated by the accompanying commentaries by some of today's leading figures in analysis. In addition, two biographical chapters preface the volume. They discuss Alberto Calderon's early life and his mathematical career.
Author : Robert Bryant
Publisher : University of Chicago Press
Page : 230 pages
File Size : 32,28 MB
Release : 2003-07
Category : Mathematics
ISBN : 9780226077932
In Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincaré-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws. This timely synthesis of partial differential equations and differential geometry will be of fundamental importance to both students and experienced researchers working in geometric analysis.
Author : John Willard Milnor
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 45,86 MB
Release : 1994
Category : Algebra
ISBN : 082184475X
Author :
Publisher :
Page : 1084 pages
File Size : 32,92 MB
Release : 2005
Category : Mathematics
ISBN :
Author : David F. Griffiths
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 12,74 MB
Release : 2010-11-11
Category : Mathematics
ISBN : 0857291483
Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge--Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com
