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Transition Mathematics
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University of Chicago School Mathematic
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Theory of Linear Operators in Hilbert Space
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N I Akhiezer
This classic textbook introduces linear operators in Hilbert Space, and presents the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. Invaluable for every mathematician and physicist. 1961, 1963 edition.
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Conduction of heat in solids
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H. S. Carslaw, J. C. Jaeger
This classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems.
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Introduction to Hilbert Spaces with Applications
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Lokenath Debnath, Piotr Mikusinski
Building on the success of the two previous editions, "Introduction to Hilbert Spaces with Applications, 3E" offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will ...
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Handbook of the Geometry of Banach Spaces: Volume 1
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W B Johnson (Editor), J Lindenstrauss (Editor)
The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with ...
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Transform Linear Algebra
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Frank Uhlig
For the standard first course that emphasizes understanding some theory as well as computations for majors in economics, engineering, science, or mathematics. This text encourages students to develop an intuitive understanding of the foundations of Linear Algebra. An emphasis on the concepts of Linear Algebra and Matrix Theory conveys the ...
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A Short Course on Banach Space Theory
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N L Carothers, C M Series (Editor), J W Bruce (Editor)
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 can be traced back to Banach himself, our primary ...
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Locally Conformal Kahler Geometry
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Sorin Dragomir
This monograph covers topics in complex geometry, written by two experts in this field.
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Stability Theory of Differential Equations
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Richard Bellman
Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own studies. 1953 ...
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A Hilbert space problem book
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Paul R Halmos
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A Primer of Real Analytic Functions
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Steven G Krantz
The subject of real analytic functions is one of the oldest in modern mathematics and is the wellspring of the theory of analysis, both real and complex. To date, there is no comprehensive book on the subject, yet the tools of the theory are widely used by mathematicians today. Key topics in the theory of real analytic functions that are covered ...
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An Introduction to Hilbert Spaces
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Nicholas Young
This textbook is an introduction to the theory of Hilbert space and its applications. The notion of Hilbert space is central in functional analysis and is used in numerous branches of pure and applied mathematics. Dr Young has stressed applications of the theory, particularly to the solution of partial differential equations in mathematical ...
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Theory of Stein Spaces
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Hans Grauert
From the reviews:"Theory of Stein Spaces provides a rich variety of methods, results, and motivations - a book with masterful mathematical care and judgement. It is a pleasure to have this fundamental material now readily accessible to any serious mathematician."J. Eells in Bulletin of the London Mathematical Society (1980)"Written by two ...
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Introduction to Hilbert Space
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Sterling K. Berberian
From the Preface: "This textbook has evolved from a set of lecture notes ...In both the course and the book, I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics ...It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) ...
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Metric Spaces: Interaction and Application
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Victor W Bryant (Preface by)
Here is an introductory text on metric spaces that is the first to be written for students who are as interested in the applications as in the theory. Knowledge of metric spaces is fundamental to understanding numerical methods (for example for solving differential equations) as well as analysis, yet most books at this level emphasise just the ...
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Seminar on transformation groups
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A. Borel
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Function spaces, entropy numbers, differential operators
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D E Edmunds, H Triebel
The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i ...
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Fredholm theory in Banach spaces
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Ruston
In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with the construction for operators of finite rank, using ...
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The Volume of Convex Bodies and Banach Space Geometry
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Gilles Pisier
This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local ...
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Normed Linear Spaces
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Mahlon Marsh Day
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Algebras of Linear Transformations
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Douglas R. Farenick
This book studies algebras and linear transformations acting on finite -dimensional vector spaces over arbitrary fields. It is written for students who have prior knowledge of algebra and linear algebra. The goal is to present a balance of theory and example in order for students to gain a firm understanding of the basic theory of finite- ...
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Continuous Functions of Vector Variables
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Alberto Guzman
This text is an axiomatic treatment of the properties of continuous multivariable functions and related results from topology. Viewing multiple real variables as members of vector spaces, A. Guzman covers boundedness, extreme values and uniform continuity of functions, along with the connections between continuity and topological concepts such as ...
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Best Approximation in Inner Product Spaces
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Frank R Deutsch
This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra. Throughout the book, examples ...
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Non-Linear Elastic Deformations
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R W Ogden
Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
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Theory of Hp spaces
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Peter L Duren
A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, Taylor coefficients, interpolation theory, more. 1970 edition.
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