Geometry

This volume contains the papers presented at a symposium on differential geometry at Shinshu University in July of 1988.

Geometric Measure Theory, Fourth Edition, is an excellent text for introducing ideas from geometric measure theory and the calculus of variations to beginning graduate students and researchers.

Two types of seemingly unrelated extension problems are discussed in this book.

This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians.

In this book, the general theory of submanifolds in a multidimensional projective space is constructed.

The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the nth homotopy group of the sphere Sn, for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of Sn are trivial and that the third homotopy group of S2 is also isomorphic to the group of the integers.

This monograph presents developments in the abstract theory of topological dynamics, concentrating on the internal structure of minimal flows (actions of groups on compact Hausdorff spaces for which every orbit is dense) and their homomorphisms (continuous equivariant maps).

Trends in the Theory and Practice of Non-Linear Analysis

Differential Manifolds is a modern graduate-level introduction to the important field of differential topology.

The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.

Groups & Geometric Analysis

The present book is intended as a textbook and reference work on three topics in the title.

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Introduction to Banach Spaces and their Geometry

Biomathematics in 1980

Real Elliptic Curves

Real Variable Methods in Fourier Analysis

Cohomology of Completions

An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics

Introduction to Algebraic Geometry and Algebraic Groups

Bifurcation of Maps and Applications

Differential Equations and Applications

Saks Spaces and Applications to Functional Analysis

Functional Analysis: Surveys and Recent Results

This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications.

Hopf Spaces

New Developments in Differential Equations

Vector Measures and Control Systems

Intensional and Higher-Order Modal Logic

Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient

Hewitt-Nachbin Spaces

Volterra Stieltjes-Integral Equations

Localization of Nilpotent Groups and Spaces

Divisor Theory in Module Categories

Spectral Theory and Asymptotics of Differential Equations

Infinite Dimensional Holomorphy and Applications

Analytic Functions and Manifolds in Infinite Dimensional Spaces

Topology and Borel Structure

Locally Compact Semi-Algebras

Finite Groups 72

Matched Asymptotic Expansions and Singular Perturbations

Ope rateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert

Spectral Theory and Complex Analysis

Pseudo-convexite , convexite polynomiale et domaines d holomorphie en dimension infinie

Degrees of Unsolvability

Holomorphic Functions, Domains of Holomorphy and Local Properties

This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |x|p + |y|p = 1 where p = 1.

Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics.

As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics.

This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes.