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Classical Potential Theory and Its Probabilistic Counterpart
Joseph L. Doob
Paperback - $138.95
From the reviews: "This huge book written in several years by one of the few mathematicians able to do it, appears as a precise and impressive study (not very easy to read) of this bothsided question that replaces, in a coherent way, without being en ...
The Heat Kernel Lefschetz Fixed Point Formula for the Spin-C Dirac Operator
J. J. Duistermaat
Hardcover - $185.95
Using the heat kernels theory of Berline, Getzler and Vergne, Duistermaat revisits some fundamental concepts of the theory, and presents the application to symplectic geometry.
An Introduction to Laplace Transforms and Fourier Series
Phillip P. G. Dyke
Paperback - $107.95
This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace ...
Functional Analysis and Infinite-Dimensional Geometry
Marian J. Fabian
Hardcover - $185.95
This book introduces the reader to the basic principles of functional analysis theory that are close to nonlinear analysis and topology. The presentation is self-contained, including many folklore results, and the proofs are accessible to students wi ...
Analysis I : Convergence, Elementary Functions
Roger Godement
Paperback - $128.95
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for ...
Applied Functional Analysis
D. H. Griffel
Paperback - $33.95
This introductory text examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Discusses distribution theory, Green's functions, Banach spaces, Hilbert space, spectral theory, an ...
Geometric Theory of Generalized Functions with Applications to General Relativity
Michael Grosser
Hardcover - $485.95
This work provides the first comprehensive introduction to the nonlinear theory of generalized functions (in the sense of Colombeau's construction) on differentiable manifolds. Particular emphasis is laid on a diffeomorphism invariant geometric appro ...
Derivatives and Integrals of Multivariable Functions
Alberto Guzman
Paperback - $149.95
This work provides a systematic examination of derivatives and integrals of multivariable functions; it is suitable for a one-semester course in what is usually called advanced calculus of several variables. The approach taken here is similar to that ...
Holomorphic Functions in the Plane and n-Dimensional Space with CDROM
Klaus Habetha
Paperback - $80.95
Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or Clifford-algebras. During the last 30 years the so-called quaternionic and Clifford or hyp ...
Biorthogonal Systems in Banach Spaces
Petr Hajek
Hardcover - $177.95
One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us the feeling of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and ...