An Introduction to Hilbert Space

An Introduction to Hilbert Space This textbook is an introduction to the theory of Hilbert spaces and its applications. The notion of a Hilbert space is a central idea in functional analysis and can be used in numerous branches of pure and applied mathematics. Dr. Young stresses these applications particularly for the solution of partial [...]

Asymptotic Theory of Finite Dimensional Normed Spaces: Isoperimetric Inequalities in Riemannian Manifolds (Lecture Notes in Mathematics)

Asymptotic Theory of Finite Dimensional Normed Spaces: Isoperimetric Inequalities in Riemannian Manifolds (Lecture Notes in Mathematics) Vol. 1200 of the LNM series deals with the geometrical structure of finite dimensional normed spaces. One of the main topics is the estimation of the dimensions of euclidean and l^n p spaces which nicely embed into diverse finite-dimensional [...]

Summing and Nuclear Norms in Banach Space Theory (London Mathematical Society Student Texts)

Summing and Nuclear Norms in Banach Space Theory (London Mathematical Society Student Texts) This textbook is an introduction to the techniques of summing and nuclear norms. The author’s aim is to present a clear and simple account of these ideas and to demonstrate the power of their application to a variety of Banach space questions. [...]

A Short Course on Banach Space Theory

A Short Course on Banach Space Theory This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: The elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics [...]

The Metric Theory of Tensor Products Reviews

The Metric Theory of Tensor Products Grothendieck’s Resume is a landmark in functional analysis. Despite having appeared more than a half century ago, its techniques and results are still not widely known nor appreciated. This is due, no doubt, to the fact that Grothendieck included practically no proofs, and the presentation is based on the [...]

Geometric Transformations fo 3D Modeling

Geometric Transformations fo 3D Modeling Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformations. Presenting the more abstract foundation material in the first three chapters, Geometric Transformations in 3D Modeling [...]

A Hilbert Space Problem Book (Graduate Texts in Mathematics)

A Hilbert Space Problem Book (Graduate Texts in Mathematics) From the Preface: “This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks… The second part, a very short one, consists of hints… The third part, the longest, [...]

Morse Homology (Progress in Mathematics (Birkhauser Boston))

Morse Homology (Progress in Mathematics (Birkhauser Boston)) This book presents a link between modern analysis and topology. Based upon classical Morse theory it develops the finite dimensional analogue of Floer homology which, in the recent years, has come to play a significant role in geometry. Morse homology naturally arises from the gradient dynamical system associated [...]

Theory of Linear Operators in Hilbert Space

Theory of Linear Operators in Hilbert Space This classic textbook by two mathematicians from the U.S.S.R.’s prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. It is directed to students at graduate and advanced undergraduate levels, [...]

Elements of Mathematics: Chapters 1-5

Elements of Mathematics: Chapters 1-5 This is a softcover reprint of the English translation of 1987 of the second edition of Bourbaki’s Espaces Vectoriels Topologiques (1981). This second edition is a brand new book and completely supersedes the original version of nearly 30 years ago. But a lot of the material has been rearranged, rewritten, [...]

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