Books about Topological from Amazon.com

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This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem.

This text is part of the Walter Rudin Student Series in Advanced Mathematics..
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This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. A course on manifolds differs from most other introductory mathematics graduate courses in that the subject matter is often completely unfamiliar. Unlike algebra and analysis, which all math majors see as undergraduates, manifolds enter the curriculum much later. It is even possible to get through an entire undergraduate mathematics education without ever hearing the word "manifold." Yet manifolds are part of the basic vocabulary of modern mathematics, and students need to know them as intimately as they know the integers, the real numbers, Euclidean spaces, groups, rings, and fields. In his beautifully conceived introduction, the author motivates the technical developments to follow by explaining some of the roles manifolds play in diverse branches of mathematics and physics. Then he goes on to introduce the basics of general topology and continues with the fundamental group, covering spaces, and elementary homology theory. Manifolds are introduced early and used as the main examples throughout. John M. Lee is currently Professor of Mathematics at the University of Washington..
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Taking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology.

While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student, reflecting the fact that these are often the key examples behind current research.

With chapters on:

• continuity and topological spaces
• deconstructionist topology
• the Euler number
• homotopy groups including the fundamental group
• simplicial and singular homology, and
• fibre bundles

Essential Topology contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well-prepared for it.

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The general aim of this book is to provide a modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasizing harmonic analysis on topological groups. The more particular goal is to cover John Tate's visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries--technical prerequisites that are often foreign to the typical, more algebraically inclined number theorist. While most of the existing treatments of Tate's thesis are somewhat terse and less than complete, our intent is to be more leisurely, more comprehensive, and more comprehensible. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. While the choice of objects and methods is naturally guided by specific mathematical goals, the approch is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups. Moreover, the work should be a good reference for working mathematicians interested in any of these fields. Specific topics include: topologcial groups, representation theory, duality for locally compact abelian groups, the structure of arithmetic fields, adeles and ideles, an introduction to class field theory, and Tate's thesis and applications..
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EXPERIMENTS IN PSYCHOLOGY Davis PSYCHOLOGY OF LEARNING Dorcus and Jones HANDBOOK OF EMPLOYEE SELECTION Dunlap RELIGION ITS FUNCTIONS IN HUMAN LIFE Ghiselli and Brown PERSONNEL AND INDUSTRIAL PSYCHOLOGY Gray PSYCHOLOGY IN HUMAN AFFAIRS Guilford FUNDAMENTAL STATISTICS IN PSYCHOLOGY AND EDUCA TION Guilford PSYCHOMETRIC METHODS Hurlock ADOLESCENT DEVELOPMENT Hurlock CHILD DEVELOPMENT Johnson ESSENTIALS OF PSYCHOLOGY Krech and Crutchfield THEORY AND PROBLEMS OF SOCIAL PSY CHOLOGY Lewin A DYNAMIC THEORY OF PERSONALITY Lewin PRINCIPLES OF TOPOLOGICAL PSYCHOLOGY Maier FRUSTRATION Maier and Schneirla PRINCIPLES OF ANIMAL PSYCHOLOGY Miller EXPERIMENTS IN SOCIAL PROCESS Moore PSYCHOLOGY FOR BUSINESS AND INDUSTRY Morgan and Stellar PHYSIOLOGICAL PSYCHOLOGY Page ABNORMAL PSYCHOLOGY Pillsbury AN ELEMENTARY PSYCHOLOGY or THE ABNORMAL Reymert FEELINGS AND EMOTIONS Richards MODERN CLINICAL PSYCHOLOGY Seashore PSYCHOLOGY OF Music Seward SEX AND THE SOCIAL ORDER Stagner PSYCHOLOGY OF PERSONALITY Wallin PERSONALITY MALADJUSTMENTS AND MENTAL HYGIENE John F. Dashiell was Consulting Editor of this series from its inception in 1931 until January 1, 1950. PRINCIPLES OF TOPOLOGICAL PSYCHOLOGY BY KURT LEWIN Professo r of Child Psychology, Iowa Child-Welfare Research Station University of Iowa TRANSLATED BY FRITZ HEIDER Assistant Professor, Department of Education, Smith College AND GRACE M. HEIDER FIRST EDITION SDCTEC IMPRESSION McGRAW-HILL BOOK COMPANY, INC, NEW YORK AND LONDON 1936 COPYRIGHT, 1936, BY THE MCGRAW-HILL BOOK COMPANY, INC. PRINTED IN THE UNITED STA1ES OP AMERICA All rights reserved. This book, or parts thereof j may not be reproduced in any form without permission of the publishers. THE MAPLE PRESS COMPANY, YORK, PA, To THE HEBREW UNIVERSITY Jerusalem PREFACE DR. WOLFGANG KOHLER Swarthmore College Swarthmore, Pa. DEAR KOHLER This book is the result of a very slow growth. I remember the moment when more than ten years ago it occurred to me that the figures on the blackboard which were to illustrate some problems for a group in psychology might after all be not merely illustrations but representations of real concepts. Much interested in the theory of science, I had already in 1912 as a student defended the thesis against a then fully accepted philo sophical dictum that psychology, dealing with manifolds of coexist ing facts, would be finally forced to use not only the concept of time but that of space too. Knowing something of the general theory of point sets, I felt vaguely that the young mathematical discipline topology might be of some help in making psychology a real science. I began studying topology and making use of its concepts, which soon appeared to me particularly fitted to the specific problems of psychology. However, this undertaking expanded rapidly, forcing me to consider wider and wider fields of psychology and to face more and more involved problems. That is the reason why this book has seen quite a number of unfinished and unpublished editions, and why it does not yet contain the vector psychology. The main diffi culty has not been the mastering of the mathematical problems as uch, at least insofar as the topological problems are concerned. After several attempts to employ the more complicated concepts of topology, I found it both sufficient and more fruitful to refer to the most simple topological concepts only. Vector psychology will, of course, require a more elaborate mathematical setup and will in all probability even make it-necessary to enter a somewhat undeveloped field of mathematics. But the main difficulty was the dealing with problems which lie, so to say, between psychology and mathematics....
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