Mathematical Notes – serie
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38 produkter
Notes on Cobordism Theory
Häftad, 2015
793 kr
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These notes contain the first complete treatment of cobordism, a topic that has become increasingly important in the past ten years. The subject is fully developed and the latest theories are treated. Originally published in 1968. The Princeton Legacy Library uses the latest print-on-demand …
Lectures on Hermite and Laguerre Expansions
Häftad, 1993
947 kr
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The interplay between analysis on Lie groups and the theory of special functions is well known. This monograph deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. The main thrust of the book is to develop a concrete …
Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds
Häftad, 1995
682 kr
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The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical …
Classical and Quantum 6j-symbols
Av J. Scott Carter, Daniel E. Flath m. fl.
Häftad, 1995
1096 kr
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Addressing physicists and mathematicians alike, this book discusses the finite dimensional representation theory of sl(2), both classical and quantum. Covering representations of U(sl(2)), quantum sl(2), the quantum trace and color representations, and the Turaev-Viro invariant, this work is useful …
Introduction to Partial Differential Equations
Second Edition
Inbunden, 1995
3,0 utav 5 stjärnor. Totalt antal röster: (1)
1263 kr
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The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial …
Dynamical Theories of Brownian Motion
Häftad, 1967
340 kr
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These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both …
Lectures on Vector Bundles over Riemann Surfaces
Häftad, 1967
1595 kr
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The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), will be forthcoming.
Introduction to Ergodic Theory
Preliminary Informal Notes of University Courses and Seminars in Mathematics
Häftad, 1977
818 kr
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Based on lectures in Erevan, this exposition of ergodic theory contains a rich collection of examples well chosen to introduce the reader to the main themes of the subject. Topics discussed include existence of invariant measures, geodesic flows on Riemannian manifolds, ergodic theory of an ideal …
Hardy Spaces on Homogeneous Groups
Av Gerald B. Folland, Elias M. Stein
Häftad, 1982
1538 kr
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The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal …
Cohomology of Quotients in Symplectic and Algebraic Geometry
Häftad, 1984
947 kr
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These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular because of their …
Lie Groups, Lie Algebras, and Cohomology
Häftad, 1988
2159 kr
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This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational …
Elliptic Curves
Häftad, 1992
2454 kr
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An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Modular forms are analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular forms--come together …
Blow-up Theory for Elliptic PDEs in Riemannian Geometry
Av Olivier Druet, Emmanuel Hebey m. fl.
Häftad, 2004
1522 kr
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Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrodinger operators on the left hand …
Quadrangular Algebras
Häftad, 2005
931 kr
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This book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings. Richard Weiss develops a theory of these "quadrangular algebras" that opens the first purely algebraic approach to the exceptional Moufang quadrangles. These …
Diffusion, Quantum Theory, and Radically Elementary Mathematics
Häftad, 2006
844 kr
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Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and …
Thurston's Work on Surfaces
Av Albert Fathi, François Laudenbach m. fl.
Häftad, 2012
776 kr
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This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English. Based on material of Thurston presented at a seminar in Orsay from 1976 to 1977, it covers topics such as the space of measured foliations on a surface, the …
Hodge Theory
Av Eduardo Cattani, Fouad El Zein m. fl.
Häftad, 2014
1032 kr
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This book provides a comprehensive and up-to-date introduction to Hodge theory--one of the central and most vibrant areas of contemporary mathematics--from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge …
Action-minimizing Methods in Hamiltonian Dynamics
An Introduction to Aubry-Mather Theory
Häftad, 2015
477 kr
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John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach--known as Aubry-Mather theory--singles out the existence of special …
Lectures on Pseudo-Differential Operators
Regularity Theorems and Applications to Non-Elliptic Problems
Av Alexander Nagel, Elias M. Stein
Häftad, 2015
357 kr
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The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some …
On Uniformization of Complex Manifolds
The Role of Connections
Häftad, 2015
357 kr
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The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations …
Analytic Pseudodifferential Operators for the Heisenberg Group and Local Solvability
Av Daryl Geller
Häftad, 2014
1755 kr
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Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection …
Introduction to Harmonic Analysis on Reductive P-adic Groups
Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
Häftad, 2015
793 kr
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Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand …
Non-Abelian Minimal Closed Ideals of Transitive Lie Algebras
Häftad, 2014
881 kr
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The purpose of this book is to provide a self-contained account, accessible to the non-specialist, of algebra necessary for the solution of the integrability problem for transitive pseudogroup structures. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand …
Global Variational Analysis
Weierstrass Integrals on a Riemannian Manifold
Häftad, 2015
571 kr
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This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1?A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q, common to the pathwise components of a basic Frechet space of …
Fourier Analysis on Local Fields
Häftad, 2015
746 kr
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This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, …
Boundary Behavior of Holomorphic Functions of Several Complex Variables
Häftad, 2015
678 kr
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This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary …
Lectures on Pseudo-Differential Operators
Regularity Theorems and Applications to Non-Elliptic Problems
Av Alexander Nagel, Elias M. Stein
Inbunden, 2016
827 kr
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The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some …
Casson's Invariant for Oriented Homology Three-Spheres
An Exposition
Av Selman Akbulut, John D. McCarthy
Inbunden, 2016
1828 kr
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In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John …
On Uniformization of Complex Manifolds
The Role of Connections
Inbunden, 2016
1479 kr
Lägg i varukorg
The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations …
Analytic Pseudodifferential Operators for the Heisenberg Group and Local Solvability
Av Daryl Geller
Inbunden, 2016
4362 kr
Lägg i varukorg
Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection …
