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This self-contained treatment assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, after which the text proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial comple...xes. Exercises form an integral part of the text. 1961 edition.
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Huge advances in intersection homology theory, along with significant applications of the theory have emerged in diverse areas of mathematics. This book features a chapter on intersection homology of toric varieties and the link with the theory of convex polytopes. It also includ...es material on Zucker's conjecture.
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Three levels of examples and problems make this volume appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important topological concepts. 1970 edition.
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Features Graph Theory that takes you straight to the heart of graphs. As you study along at your own pace, this study guide shows you step by step how to solve the kind of problems you're going to find on your exams. It gives you hundreds of completely worked problems with full s...olutions.
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Using a carefully designed instructional model and blackline masters, this series will develop students' critical thinking and problem-solving skills.
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Helps to exercising control over how your books and articles look, read, and communicate your ideas. Focusing on TeX, a medium of choice for producing mathematical documents, this title illuminates various issues associated with page design and seeing your manuscript smoothly and... accurately through various steps of its publication.
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An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer through its focus on fully-worked e...xamples designed to develop problem solving techniques.
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Provides an introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. This book explains both theory and applications and includes essential background methods. It also includes the necessary materia...l on commutative algebra.
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Originally published: Oxford: Clarendon Press; New York: Oxford University Press, 1986.
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This text contains more than 2000 exercises in algebra. Each section contains not only standard exercises, but also more difficult exercises at the end of some sections, these more challenging exercises being marked with asterisks.
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