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Lectures on Three-Manifold Topology
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by
William H. Jaco, Conference Board of the Mathematical Sci
This manuscript is a detailed presentation of the ten lectures given by the author at the NSF Regional Conference on Three-Manifold Topology, held October 1977, at Virginia Polytechnic Institute and State University. The purpose of the conference was to present the current state of affairs in three-manifold topology and to integrate the classical ...
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Lectures on Set Theoretic Topology
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by
Mary Ellen Rudin, Conference Board of the Mathematical Sci
This survey presents some recent results connecting set theory with the problems of general topology, primarily giving the applications of classical set theory in general topology and not considering problems involving large numbers. The lectures are completely self-contained - this is a good reference book on modern questions of general topology ...
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Topics in Dynamic Bifurcation Theory
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by
Jack K. Hale, Conference Board of the Mathematical Sci
This set of lectures has two primary objectives. The first one is to present the general theory of first order bifurcation that occur for vector fields in finite dimensional space. Illustrations are given of higher order bifurcations. The second objective, and probably the most important one, is to set up a framework for the discussion of similar ...
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Selected Topics in Harmonic Maps
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by
James Eells, Conference Board of the Mathematical Sci, Luc Lemaire
The first part of the book is devoted to an account of various aspects of the theory of harmonic maps between Riemannian manifolds. The second part proposes certain unsolved problems, together with comments and references, which are of widely varying difficulty. This book presents the first printed exposition of the qualitative aspects of harmonic ...
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Lectures on Symplectic Manifolds
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by
Alan Weinstein, Conference Board of the Mathematical Sci
The first six sections of these notes contain a description of some of the basic constructions and results on symplectic manifolds and lagrangian submanifolds. Section 7, on intersections of largrangian submanifolds, is still mostly internal to symplectic geometry, but it contains some applications to machanics and dynamical systems. Sections 8, 9 ...
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Holomorphic Functions of Finite Order in Several Complex Variables
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by
Wilhelm Stoll, Conference Board of the Mathematical Sci
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Measure Algebras,
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by
Joseph L. Taylor, Conference Board of the Mathematical Sci
These notes were prepared in conjection with the NSF Regional Conference on measure algebras held at the University of Montana during the week of June 19, 1972. The original objective in preparing these notes was to give a coherent detailed, and simplified presentation of a body of material on measure algebras developed in a recent series of ...
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Subfactors and Knots
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by
Weiss, Conference Board of the Mathematical Sci, Vaughan F. R. Jones
This book is based on a set of lectures presented by the author at the NSF-CBMS Regional Conference, Applications of Operator Algebras to Knot Theory and Mathematical Physics, held at the U.S. Naval Academy in Annapolis in June 1988. The audience consisted of low-dimensional topologists and operator algebraists, so the speaker attempted to make ...
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Weak Convergence Methods for Nonlinear Partial Differential Equations
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by
Lawrence Evans, Conference Board of the Mathematical Sci
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Introduction to Arrangements
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by
Peter Orlik, Conference Board of the Mathematical Sci
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Special Functions and Linear Representations of Lie Groups
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Jean Dieudonne, Conference Board of the Mathematical Sci
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Factorization of Linear Operators and Geometry of Banach Spaces
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by
Gilles Pisier, Conference Board of the Mathematical Sci
This book surveys the considerable progress made in Banach space theory as a result of Grothendieck's fundamental paper "Resume De la Theorie Metrique des Produits Tensoriels Topologiques". The author examines the central question of which Banach spaces $X$ and $Y$ have the property that every bounded operator from $X$ to $Y$ factors through a ...
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Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics
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by
Harald Upmeier, Conference Board of the Mathematical Sci
This book is based on the CBMS Regional Conference held at the University of California, Irvine, in July 1985. Jordan algebras have found interesting applications in seemingly unrelated areas of mathematics such as operator theory, the foundations of quantum mechanics, complex analysis in finite and infinite dimensions, and harmonic analysis on ...
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Lectures on Hilbert Cube Manifolds
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by
T. A. Chapman, Conference Board of the Mathematical Sci
The goal of these lectures is to present an introduction to the geometric topology of the Hilbert cube Q and separable metric manifolds modeled on Q, which are called here Hilbert cube manifolds or Q-manifolds. In the past ten years there has been a great deal of research on Q and Q-manifolds which is scattered throughout several papers in the ...
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Dual Algebras with Applications to Invariant Subspaces and Dilation Theory
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by
H. Bercovici, Carl M. Pearcy, Conference Board of the Mathematical Sci
The theory of dual algebras (ultra weakly closed algebras of operators on Hilbert space) has made tremendous progress since 1978, when Scott Brown originated some of the main ideas to solve the invariant subspace problem for subnormal operators. The impetus for much of this progress has come from the authors of the present book, who, in a sequence ...
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New Constructions of Functions Holomorphic in the Unit Ball of Cn
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by
Walter Rudin, Conference Board of the Mathematical Sci
The starting point for the research presented in this book is A. B. Aleksandrov's proof that nonconstant inner functions exist in the unit ball $B$ of $C^n$. The construction of such functions has been simplified by using certain homogeneous polynomials discovered by Ryll and Wojtaszczyk; this yields solutions to a large number of problems. The ...
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Harish-Chandra Homomorphisms for P-Adic Groups
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by
Roger Howe, Allen Moy, Conference Board of the Mathematical Sci
This book introduces a systematic new approach to the construction and analysis of semi simple $p$-adic groups. The basic construction presented here provides an analogue in certain cases of the Harish-Chandra homomorphism, which has played an essential role in the theory of semi simple Lie groups. The book begins with an overview of the ...
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Homology and Dynamical Systems
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by
John M. Franks, Conference Board of the Mathematical Sci
Presents research on the connections between dynamics and topology, treating the fundamental problem - what dynamics can occur in a prescribed homological setting - via algebraic chain complexes derived from the unstable manifold decomposition of dynamics.
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Lectures on Linear Partial Differential Equations,
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Louis Nirenberg, Conference Board of the Mathematical Sci
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Analysis on Lie Groups and Homogeneous Spaces
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by
Sigurdur Helgason, Conference Board Of The Mathematical Sci
The theme of this volume is a treatment of differential equations on a $C^\infty$ manifold $V$ by separation of variables techniques. More specifically, given a Lie transformation group $L$ of $V$ and a Lie subgroup $H\subset L$, if $D(V)$ is the set of differential operators on $V$ invariant under $L$, then the principal object of study is the ...
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Minimax Methods in Critical Point Theory with Applications to Differential Equations
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by
Paul H. Rabinowitz, Conference Board of the Mathematical Sci
The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. An expanded version of the author's 1984 CBMS lectures, this volume is the first monograph devoted solely to these topics. Among the abstract questions considered are the following: the ...
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Introduction to Some Methods of Algebraic K-Theory
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by
Hyman Bass, Conference Board of the Mathematical Sci
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Undergraduate Programs in the Mathematical and Computer Sciences: The 1985-1986 Survey
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R. D. Anderson (Editor), Donald J. Albers, Conference Board of the Mathematical Sci
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Differential Games and Control Theory: Proceedings of a National Science Foundation-Conference Board of the Mathematical Sciences Regional Research Co
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Pan-Tai Liu (Editor), Emilio D. Roxin (Editor), Conference Board of the Mathematical Sci
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Lectures on Linear Groups,
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by
O. Timothy O'Meara, Conference Board of the Mathematical Sci
The notes in this volume evolved from lectures at the California Institute of Technology during the spring of 1968, from ten survey lectures on classical and Chevalley groups at an NSF Regional Conference at Arizona State University in March 1973, and from lectures on linear groups at the University of Notre Dame in the fall of 1973.The author's ...
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