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Books > Science & Mathematics > Mathematics > Topology

Category Theory Applied to Computation and Control - Proceedings of the First International Symposium, San Francisco, February... Category Theory Applied to Computation and Control - Proceedings of the First International Symposium, San Francisco, February 25-26, 1974 (Paperback, 1975 ed.)
E. G. Manes
R1,613 Discovery Miles 16 130 Ships in 10 - 15 working days
Geometric Topology - Proceedings of the Geometric Topology Conference held at Park City Utah, February 19-22, 1974 (Paperback,... Geometric Topology - Proceedings of the Geometric Topology Conference held at Park City Utah, February 19-22, 1974 (Paperback, 1975 ed.)
L. C. Glaser, T. B. Rushing
R1,841 Discovery Miles 18 410 Ships in 10 - 15 working days
TOPO 72 - General Topology and its Applications - Second Pittsburgh International Conference, December 18-22, 1972 (Paperback,... TOPO 72 - General Topology and its Applications - Second Pittsburgh International Conference, December 18-22, 1972 (Paperback, 1974 ed.)
R. a. Alo, R. W. Heath, J. Nagata
R1,963 Discovery Miles 19 630 Ships in 10 - 15 working days

Sponsored by Carnegie-Mellon University and the University of Pittsburgh

Topology Conference - Virginia Polytechnic Institute and State University, March 22 - 24, 1973 (Paperback, 1974 ed.): R. F.... Topology Conference - Virginia Polytechnic Institute and State University, March 22 - 24, 1973 (Paperback, 1974 ed.)
R. F. Dickman, P. Fletcher
R1,411 Discovery Miles 14 110 Ships in 10 - 15 working days
Proceedings on Infinite Dimensional Holomorphy (Paperback, 1974 ed.): T. L. Hayden, T. J. Suffridge Proceedings on Infinite Dimensional Holomorphy (Paperback, 1974 ed.)
T. L. Hayden, T. J. Suffridge
R1,969 Discovery Miles 19 690 Ships in 10 - 15 working days
Stability of Unfoldings (Paperback, 1st ed. 1974. 2nd printing 1986): Gordon Wassermann Stability of Unfoldings (Paperback, 1st ed. 1974. 2nd printing 1986)
Gordon Wassermann
R1,186 Discovery Miles 11 860 Ships in 10 - 15 working days
Recent Advances in Topological Dynamics - Proceedings of the Conference on Topological Dynamics, Held at Yale University 1972,... Recent Advances in Topological Dynamics - Proceedings of the Conference on Topological Dynamics, Held at Yale University 1972, in Honor of Gustav Arnold Hedlund on the Occasion of his Retirement (Paperback, 1973 ed.)
A. Beck
R1,762 Discovery Miles 17 620 Ships in 10 - 15 working days
Algebraic K-Theory II. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August... Algebraic K-Theory II. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972 - "Classical" Algebraic K-Theory, and Connections with Arithmetic (Paperback, 1st ed. 1973. 2nd printing 1986)
Hyman Bass
R2,160 Discovery Miles 21 600 Ships in 10 - 15 working days
Summer School on Topological Vector Spaces (Paperback, 1973 ed.): L. Waelbroeck Summer School on Topological Vector Spaces (Paperback, 1973 ed.)
L. Waelbroeck
R1,374 Discovery Miles 13 740 Ships in 10 - 15 working days
Algebraic K-Theory I. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August... Algebraic K-Theory I. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972 - Higher K-Theories (Paperback, 1st ed. 1973. 2nd printing 1986)
Hyman Bass
R1,664 Discovery Miles 16 640 Ships in 10 - 15 working days
Representations of Algebraic Groups (Paperback, 2nd Revised edition): Representations of Algebraic Groups (Paperback, 2nd Revised edition)
R3,278 Discovery Miles 32 780 Ships in 12 - 17 working days

Back in print from the AMS, the first part of this book is an introduction to the general theory of representations of algebraic group schemes. Here, Janzten describes important basic notions: induction functors, cohomology, quotients, Frobenius kernels, and reduction mod $p$, among others. The second part of the book is devoted to the representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, the Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and line bundles on them. This is a significantly revised edition of a modern classic. The author has added nearly 150 pages of new material describing later developments and has made major revisions to parts of the old text. It continues to be the ultimate source of information on representations of algebraic groups in finite characteristics. The book is suitable for graduate students and research mathematicians interested in algebraic groups and their representations. Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia.The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call ""modern algebra"" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck's mid-twentieth-century metaphor of a ""rising sea"" in his categorical approach to algebraic geometry. In addition to considering the technical development of various aspects of algebraic thought, the historians of modern algebra whose work is united in this volume explore such themes as the changing aims and organization of the subject as well as the often complex lines of mathematical communication within and across national boundaries. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of non-commutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century.The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular. It will be of particular interest to mathematicians and historians of mathematics. Information for our distributors: Co-published with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

Lectures on Algebraic and Differential Topology - Delivered at the 2. ELAM (Paperback, 1972 ed.): R. Bott, S. Gitler Lectures on Algebraic and Differential Topology - Delivered at the 2. ELAM (Paperback, 1972 ed.)
R. Bott, S. Gitler
R1,189 Discovery Miles 11 890 Ships in 10 - 15 working days
Stratified Polyhedra (Paperback, 1972 ed.): David A. Stone Stratified Polyhedra (Paperback, 1972 ed.)
David A. Stone
R1,205 Discovery Miles 12 050 Ships in 10 - 15 working days
Elements of  -Category Theory (Hardcover): Emily Riehl, Dominic Verity Elements of -Category Theory (Hardcover)
Emily Riehl, Dominic Verity
R2,803 R1,926 Discovery Miles 19 260 Save R877 (31%) Ships in 12 - 17 working days

The language of -categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an -category is requires various technical models, raising the question of how they might be compared. To overcome this, a model-independent approach is desired, so that theorems proven with any model would apply to them all. This text develops the theory of -categories from first principles in a model-independent fashion using the axiomatic framework of an -cosmos, the universe in which -categories live as objects. An -cosmos is a fertile setting for the formal category theory of -categories, and in this way the foundational proofs in -category theory closely resemble the classical foundations of ordinary category theory. Equipped with exercises and appendices with background material, this first introduction is meant for students and researchers who have a strong foundation in classical 1-category theory.

Essays in the History of Lie Groups and Algebraic Groups (Hardcover): Essays in the History of Lie Groups and Algebraic Groups (Hardcover)
R3,137 Discovery Miles 31 370 Ships in 12 - 17 working days

Algebraic groups and Lie groups are important in most major areas of mathematics, occuring in diverse roles such as the symmetries of differential equations and as central figures in the Langlands program for number theory. In this book, Professor Borel looks at the development of the theory of Lie groups and algebraic groups, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. As the starting point of this passage from local to global, the author takes Lie's theory of local analytic transformation groups and Lie algebras. He then follows the globalization of the process in its two most important frameworks: (transcendental) differential geometry and algebraic geometry. Chapters II to IV are devoted to the former, Chapters V to VIII, to the latter.The essays in the first part of the book survey various proofs of the full reducibility of linear representations of $SL 2M$, the contributions H. Weyl to representation and invariant theory for Lie groups, and conclude with a chapter on E. Cartan's theory of symmetric spaces and Lie groups in the large. The second part of the book starts with Chapter V describing the development of the theory of linear algebraic groups in the 19th century. Many of the main contributions here are due to E. Study, E. Cartan, and above all, to L. Maurer. After being abandoned for nearly 50 years, the theory was revived by Chevalley and Kolchin and then further developed by many others. This is the focus of Chapter VI. The book concludes with two chapters on various aspects of the works of Chevalley on Lie groups and algebraic groups and Kolchin on algebraic groups and the Galois theory of differential fields. The author brings a unique perspective to this study. As an important developer of some of the modern elements of both the differential geometric and the algebraic geometric sides of the theory, he has a particularly deep appreciation of the underlying mathematics. His lifelong involvement and his historical research in the subject give him a special appreciation of the story of its development.

H - Spaces - Actes de la Reunion de Neuchatel (Suisse), Aout 1970 (Paperback, 1971 ed.): Francois Sigrist H - Spaces - Actes de la Reunion de Neuchatel (Suisse), Aout 1970 (Paperback, 1971 ed.)
Francois Sigrist
R1,179 Discovery Miles 11 790 Ships in 10 - 15 working days
Gap-Sheaves and Extension of Coherent Analytic Subsheaves (Paperback, 1971 ed.): Yum-Tong Siu, Gunther Trautmann Gap-Sheaves and Extension of Coherent Analytic Subsheaves (Paperback, 1971 ed.)
Yum-Tong Siu, Gunther Trautmann
R1,186 Discovery Miles 11 860 Ships in 10 - 15 working days
Set-Valued Mappings, Selections and Topological Properties of 2x - Proceedings of the Conference Held at the State University... Set-Valued Mappings, Selections and Topological Properties of 2x - Proceedings of the Conference Held at the State University of New York at Buffalo, May 8-10, 1969 (Paperback, 1970 ed.)
W. M. Fleischman
R1,153 Discovery Miles 11 530 Ships in 10 - 15 working days
Seminaire Heidelberg-Saarbrucken-Strasbourg Sur La K-Theorie (English, French, Paperback, 1970 ed.): M. Karoubi, Gordon, P.... Seminaire Heidelberg-Saarbrucken-Strasbourg Sur La K-Theorie (English, French, Paperback, 1970 ed.)
M. Karoubi, Gordon, P. Loeffler, M Zisman
R1,299 Discovery Miles 12 990 Ships in 10 - 15 working days
Reports of the Midwest Category Seminar IV (Paperback, 1970 ed.): S. Mac Lane Reports of the Midwest Category Seminar IV (Paperback, 1970 ed.)
S. Mac Lane; H. Applegate, M. Barr, E. Day, E. Dubuc, …
R1,163 Discovery Miles 11 630 Ships in 10 - 15 working days
K-Theory of Finite Groups and Orders (Paperback, 1st ed. 1970. Corr. 2nd printing 1986): Graham E. Evans K-Theory of Finite Groups and Orders (Paperback, 1st ed. 1970. Corr. 2nd printing 1986)
Graham E. Evans; Richard G. Swan
R1,603 Discovery Miles 16 030 Ships in 10 - 15 working days
Map of the World - An Introduction to Mathematical Geodesy (Hardcover): Martin Vermeer, Antti Rasila Map of the World - An Introduction to Mathematical Geodesy (Hardcover)
Martin Vermeer, Antti Rasila
R2,786 Discovery Miles 27 860 Ships in 12 - 17 working days

Carl Friedrich Gauss, the "foremost of mathematicians," was a land surveyor. Measuring and calculating geodetic networks on the curved Earth was the inspiration for some of his greatest mathematical discoveries. This is just one example of how mathematics and geodesy, the science and art of measuring and mapping our world, have evolved together throughout history. This text is for students and professionals in geodesy, land surveying, and geospatial science who need to understand the mathematics of describing the Earth and capturing her in maps and geospatial data: the discipline known as mathematical geodesy. Map of the World: An Introduction to Mathematical Geodesy aims to provide an accessible introduction to this area, presenting and developing the mathematics relating to maps, mapping, and the production of geospatial data. Described are the theory and its fundamental concepts, its application for processing, analyzing, transforming, and projecting geospatial data, and how these are used in producing charts and atlases. Also touched upon are the multitude of cross-overs into other sciences sharing in the adventure of discovering what our world really looks like. FEATURES * Written in a fluid and accessible style, replete with exercises; adaptable for courses on different levels. * Suitable for students and professionals in the mapping sciences, but also for lovers of maps and map making.

Manifolds, Tensors, and Forms - An Introduction for Mathematicians and Physicists (Hardcover, New): Paul Renteln Manifolds, Tensors, and Forms - An Introduction for Mathematicians and Physicists (Hardcover, New)
Paul Renteln
R1,939 Discovery Miles 19 390 Ships in 12 - 17 working days

Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. Solutions to the problems are available for instructors at www.cambridge.org/9781107042193.

Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research of the... Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research of the Battelle Memorial Institute, June 24 - July 19, 1968 - Volume 3 (Paperback, 1969 ed.)
P.J. Hilton
R2,132 Discovery Miles 21 320 Ships in 10 - 15 working days
Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research Center of... Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research Center of the Battelle Memorial Institute, June 24 - July 19, 1968 - Volume 2 (Paperback, 1969 ed.)
P.J. Hilton
R1,777 Discovery Miles 17 770 Ships in 10 - 15 working days
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