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Multidimensional Real Analysis Ii


Multidimensional Real Analysis Ii
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Multidimensional Real Analysis Ii


Multidimensional Real Analysis Ii
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Author : J. J. Duistermaat
language : en
Publisher: Cambridge University Press
Release Date : 2004-05-06

Multidimensional Real Analysis Ii written by J. J. Duistermaat and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-06 with Mathematics categories.


Part two of the authors' comprehensive and innovative work on multidimensional real analysis. This book is based on extensive teaching experience at Utrecht University and gives a thorough account of integral analysis in multidimensional Euclidean space. It is an ideal preparation for students who wish to go on to more advanced study. The notation is carefully organized and all proofs are clean, complete and rigorous. The authors have taken care to pay proper attention to all aspects of the theory. In many respects this book presents an original treatment of the subject and it contains many results and exercises that cannot be found elsewhere. The numerous exercises illustrate a variety of applications in mathematics and physics. This combined with the exhaustive and transparent treatment of subject matter make the book ideal as either the text for a course, a source of problems for a seminar or for self study.



Multidimensional Real Analysis I


Multidimensional Real Analysis I
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Author : J. J. Duistermaat
language : en
Publisher: Cambridge University Press
Release Date : 2004-05-06

Multidimensional Real Analysis I written by J. J. Duistermaat and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-06 with Mathematics categories.


Part one of the authors' comprehensive and innovative work on multidimensional real analysis. This book is based on extensive teaching experience at Utrecht University and gives a thorough account of differential analysis in multidimensional Euclidean space. It is an ideal preparation for students who wish to go on to more advanced study. The notation is carefully organized and all proofs are clean, complete and rigorous. The authors have taken care to pay proper attention to all aspects of the theory. In many respects this book presents an original treatment of the subject and it contains many results and exercises that cannot be found elsewhere. The numerous exercises illustrate a variety of applications in mathematics and physics. This combined with the exhaustive and transparent treatment of subject matter make the book ideal as either the text for a course, a source of problems for a seminar or for self study.



Real Analysis


Real Analysis
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Author : N. L. Carothers
language : en
Publisher: Cambridge University Press
Release Date : 2000-08-15

Real Analysis written by N. L. Carothers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-15 with Mathematics categories.


A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.



Multidimensional Stochastic Processes As Rough Paths


Multidimensional Stochastic Processes As Rough Paths
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Author : Peter K. Friz
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-04

Multidimensional Stochastic Processes As Rough Paths written by Peter K. Friz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-04 with Mathematics categories.


Rough path analysis provides a fresh perspective on Ito's important theory of stochastic differential equations. Key theorems of modern stochastic analysis (existence and limit theorems for stochastic flows, Freidlin-Wentzell theory, the Stroock-Varadhan support description) can be obtained with dramatic simplifications. Classical approximation results and their limitations (Wong-Zakai, McShane's counterexample) receive 'obvious' rough path explanations. Evidence is building that rough paths will play an important role in the future analysis of stochastic partial differential equations and the authors include some first results in this direction. They also emphasize interactions with other parts of mathematics, including Caratheodory geometry, Dirichlet forms and Malliavin calculus. Based on successful courses at the graduate level, this up-to-date introduction presents the theory of rough paths and its applications to stochastic analysis. Examples, explanations and exercises make the book accessible to graduate students and researchers from a variety of fields.



Multidimensional Analysis


Multidimensional Analysis
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Author : George W. Hart
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-03-17

Multidimensional Analysis written by George W. Hart and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-17 with Mathematics categories.


This book deals with the mathematical properties of dimensioned quantities, such as length, mass, voltage, and viscosity. Beginning with a careful examination of how one expresses the numerical results of a measurement and uses these results in subsequent manipulations, the author rigorously constructs the notion of dimensioned numbers and discusses their algebraic structure. The result is a unification of linear algebra and traditional dimensional analysis that can be extended from the scalars to which the traditional analysis is perforce restricted to multidimensional vectors of the sort frequently encountered in engineering, systems theory, economics, and other applications.



Automorphic Representations And L Functions For The General Linear Group Volume 2


Automorphic Representations And L Functions For The General Linear Group Volume 2
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Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-21

Automorphic Representations And L Functions For The General Linear Group Volume 2 written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.


This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.



Nonlinear Analysis And Semilinear Elliptic Problems


Nonlinear Analysis And Semilinear Elliptic Problems
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Author : Antonio Ambrosetti
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-04

Nonlinear Analysis And Semilinear Elliptic Problems written by Antonio Ambrosetti and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-04 with Mathematics categories.


A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from elementary tools of bifurcation theory and analysis to critical point theory and elliptic partial differential equations. The book is amply illustrated with many exercises.



Geometric Analysis


Geometric Analysis
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Author : Peter Li
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-03

Geometric Analysis written by Peter Li and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-03 with Mathematics categories.


This graduate-level text demonstrates the basic techniques for researchers interested in the field of geometric analysis.



Analysis


Analysis
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Author : Terence Tao
language : en
Publisher:
Release Date : 2006

Analysis written by Terence Tao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematical analysis categories.


"This two-volume introduction to real analysis is intended for honours undergraduates, who have already been exposed to calculus. The emphasis is on rigour and on foundations. The course material is deeply intertwined with the exercises, as it is intended for the student to actively learn the material and to practice thinking and writing rigorously." --Book Jacket.



Representation Theory Of The Symmetric Groups


Representation Theory Of The Symmetric Groups
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Author : Tullio Ceccherini-Silberstein
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-04

Representation Theory Of The Symmetric Groups written by Tullio Ceccherini-Silberstein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-04 with Mathematics categories.


The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood–Richardson rule and the Schur–Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics.