First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.
Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four. In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.
The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.
Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.
Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four. In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.
Mathematical Studies has been written specially for students following the International Baccalaureate (IB) Diploma. Each topic opens with the syllabus content, and exactly follows the syllabus order, covering the latest syllabus requirements in full. This is invaluable in helping teachers to plot a way through the course, and for students when the time comes for revision. A unique feature of the book is the inclusion of step-by-step instructions on the use of the graphic display calculator. The text also makes reference to Autograph and Geogebra software. Each topic has clear explanations, worked examples, and plenty of practice exercises to reinforce learning. The Student Assessments at the end of each topic can be used as homework or to test learning. The CD-ROM contains powerpoints, spreadsheets, Geogebra files, step-by-step audio visual explanations of the harder concepts, and extra questions. Students who are taking this course have a variety of backgrounds and widely differing levels of previous mathematical knowledge: the Presumed Knowledge Assessments identify areas of weakness so that teachers can address these before tackling each topic. Mathematics has a rich historical and multi-cultural background, and the book is littered with such references. There are ideas for project work in each topic: internal assessment of the project is a key part of assessment. * Links to Theory of Knowledge offer opportunities for cross-curriculum study. * Follows IB Diploma terminology and notation, with a full glossary included. * The use of the Graphic Display Calculator is cleary taught in every topic. * The accompanying CD-ROM provides essential revision as well as activities for extended study. * The authors, Ric Pimentel and Terry Wall, are experienced teachers and examiners of Mathematics at this level.
First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.
The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.
CCEA GCSE Mathematics Intermediate 1 and Intermediate 2 builds on KS3 work and prepares students for the CCEA GCSE specifications at the Intermediate tier.
CCEA GCSE Mathematics Intermediate 1 and Intermediate 2 build on KS3 work and prepare students for the CCEA GCSE specifications at the Intermediate tier.
Eminent mathematicians have presented papers on homological and combinatorial techniques in group theory. The lectures are aimed at presenting in a unified way new developments in the area.
The Maths Now GCSE Intermediate 1 course builds on Key Stage 3 work and prepares students for the GCSE Mathematics specifications at the Intermediate tier - first examination in 2003. It complies with the revised National Curriculum for 2000. This teacher's resource book contains detailed learning objectives for each chapter of the Maths Now GCSE Intermediate 1 Student's Book. It also features background information and further assessment material, including practice examination-style questions, supplementary exercises, and answers.
CCEA GCSE Mathematics Intermediate 1 and Intermediate 2 build on KS3 work and prepare students for the CCEA GCSE specifications at the Intermediate tier.
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