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A Basic Course in Algebraic Topology
This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date.
Algebraic Topology: An Introduction
William S. Massey Professor Massey, born in Illinois in 1920, received his bachelor's degree from the University of Chicago and then served for four years in the U.S. Navy during World War II. After the War he received his Ph.D. from Princeton University and spent two additional years there as a post-doctoral research assistant. He then taught for ten years on the faculty of Brown University, and moved to his present position at Yale in 1960. He is the author of numerous research articles on algebraic topology and related topics. This book developed from lecture notes of courses taught to Yale undergraduate and graduate students over a period of several years.
Singular Homology Theory
This textbook on homology and cohomology theory is geared towards the beginning graduate student. Singular homology theory is developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind various algebraic concepts is emphasized. The only formal prerequisites are knowledge of the basic facts of abelian groups and point set topology. Singular Homology Theory is a continuation of t he author's earlier book, Algebraic Topology: An Introduction, which presents such important supplementary material as the theory of the fundamental group and a thorough discussion of 2-dimensional manifolds. However, this earlier book is not a prerequisite for understanding Singular Homology Theory.
Reengineering the University
Higher education expert William F. Massy’s decades as a professor, senior university officer, and consultant have left him with a passionate belief in the need for reform in America’s traditional universities. In Reengineering the University, he addresses widespread concerns that higher education’s costs are too high, learning falls short of objectives, disruptive technology and education models are mounting serious challenges to traditional institutions, and administrators and faculty are too often unwilling or unable to change. An expert microeconomist, Massy approaches the challenge of reform in a genuinely new way by applying rigorous economic principles, informed by financial data...
American Apartheid
This powerful and disturbing book clearly links persistent poverty among blacks in the United States to the unparalleled degree of deliberate segregation they experience in American cities. American Apartheid shows how the black ghetto was created by whites during the first half of the twentieth century in order to isolate growing urban black populations. It goes on to show that, despite the Fair Housing Act of 1968, segregation is perpetuated today through an interlocking set of individual actions, institutional practices, and governmental policies. In some urban areas the degree of black segregation is so intense and occurs in so many dimensions simultaneously that it amounts to "hypersegr...
Algebraic Topology
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Topology from the Differentiable Viewpoint
This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.
Highbrow/Lowbrow
In this unusually wide-ranging study, spanning more than a century and covering such diverse forms of expressive culture as Shakespeare, Central Park, symphonies, jazz, art museums, the Marx Brothers, opera, and vaudeville, a leading cultural historian demonstrates how variable and dynamic cultural boundaries have been and how fragile and recent the cultural categories we have learned to accept as natural and eternal are. For most of the nineteenth century, a wide variety of expressive forms—Shakespearean drama, opera, orchestral music, painting and sculpture, as well as the writings of such authors as Dickens and Longfellow—enjoyed both high cultural status and mass popularity. In the n...
