Combinatorial Group Theory: A Topological Approach (London Mathematical Society Student Texts)
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Author: Daniel E. Cohen

In this book, developed from courses taught at the University of London, the author aims to show the value of using topological methods in combinatorial group theory. The topological material is given in terms of the fundamental groupoid, giving results and proofs that are both stronger and simpler than the traditional ones. Several chapters deal with covering spaces and complexes, an important method, which is then applied to yield the major Schreier and Kurosh subgroup theorems. The author presents a full account of BassSerre theory and discusses the word problem, in particular, its unsolvability and the Higman Embedding Theorem. Included for completeness are the relevant results of computability theory.


Topology Problem Solver (Problem Solvers Solution Guides)
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Author: The Editors of REA
Brand: Brand: Research Education Association

Thorough coverage is given to the fundamental concepts of topology, axiomatic set theory, mappings, cardinal numbers, ordinal numbers, metric spaces, topological spaces, separation axioms, Cartesian products, the elements of homotopy theory, and other topics. A comprehensive study aid for the graduate student and beyond.
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Topological Fields (NorthHolland Mathematics Studies)
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Author: S. Warner

Aimed at those acquainted with basic pointset topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields).
The reader is given enough background to tackle the current literature without undue additional preparation. Many results not in the text (and many illustrations by example of theorems in the text) are included among the exercises. Sufficient hints for the solution of the exercises are offered so that solving them does not become a major research effort for the reader. A comprehensive bibliography completes the volume.


Understanding Geometry
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Author: Kathy Richardson

This valuable teachers resource provides teachers with classroom tested activities that help children develop indepth understandings about 2D and 3D geometry concepts and spatial awareness. Understanding Geometry is more than a book about geometry activities. Kathy provides the following resources for teachers:  Background information on what we need to know about geometry  Assessment and observation moments are highlighted  Geometry Terminology Glossary  Planning Guide for Grades K3  Task Cards
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Open Problems in Topology
Lowest used price: $211.00
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Author: Jan Van Mill

FROM THE INTRODUCTION: "This volume grew from a discussion by the editors on the difficulty of finding good thesis problems for graduate students in topology. Although at any given time we each had our own favorite problems, we acknowledged the need to offer students a wider selection from which to choose a topic peculiar to their interests. One of us remarked, `Wouldn't it be nice to have a book of current unsolved problems always available to pull down from the shelf?' The other replied `Why don't we simply produce such a book?' Two years later and not so simply, here is the resulting volume. The intent is to provide not only a source book for thesislevel problems but also a challenge to the best researchers in the field."


Diophantus and Diophantine Equations (Dolciani Mathematical Expositions)
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Author: Isabella G. Bashmakova
Brand: Brand: The Mathematical Association of America

This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus  a person whose very existence has long been doubted by most historians of mathematics  will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the Renaissance and in the work of Fermat. This account is continued to our own day and ends with an afterword by Joseph Silverman who notes the most recent developments including the proof of Fermat's Last Theorem.
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SpaceFilling Curves (Universitext)
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Author: Hans Sagan
Brand: Hans Sagan

The subject of spacefilling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics. Working in this area is like skating on the edge of reason. Unfortunately, no comprehensive treatment has ever been attempted other than the gallant effort by W. Sierpiriski in 1912. At that time, the subject was still in its infancy and the most interesting and perplexing results were still to come. Besides, Sierpiriski's paper was written in Polish and published in a journal that is not readily accessible (Sierpiriski [2]). Most of the early literature on the subject is in French, German, and Polish, providing an additional raison d'etre for a comprehensive treatment in English. While there was, understandably, some intensive research activity on this subject around the turn of the century, contributions have, nevertheless, continued up to the present and there is no end in sight, indicating that the subject is still very much alive. The recent interest in fractals has refocused interest on spaceĀ filling curves, and the study of fractals has thrown some new light on this small but venerable part of mathematics. This monograph is neither a textbook nor an encyclopedic treatment of the subject nor a historical account, but it is a little of each. While it may lend structure to a seminar or proseminar, or be useful as a supplement in a course on topology or mathematical analysis, it is primarily intended for selfstudy by the aficionados of classical analysis.
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MATH SKILLS: ARITHMETIC WITH INTRODUCTORY ALGEBRA AND GEOMETRY
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Author: STASZKOW RONALD
Brand: Brand: Kendall Hunt Publishing

Book by STASZKOW RONALD
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Introduction to Complex Analysis
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Author: Kunihiko Kodaira
Brand: Brand: Cambridge University Press

This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easytounderstand and careful way. He emphasizes geometrical considerations and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The general versions of Cauchy's Theorem and integral formula are proved in Chapter 2. The remainder of the book deals with conformal mappings, analytic continuation, and Riemann's Mapping Theorem. The presentation here is very full and detailed. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for first courses in complex analysis.
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Seifert and Threlfall: A Textbook of Topology
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Author: H. Seifert

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