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81. Noncommutative Algebraic Geometry and Representations of Quantized Algebras (Mathematics and Its Applications) by A. Rosenberg | |
Paperback: 328
Pages
(2010-11-02)
list price: US$229.00 -- used & new: US$206.10 (price subject to change: see help) Asin: 9048145775 Canada | United Kingdom | Germany | France | Japan | |
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82. The Novikov Conjecture: Geometry and Algebra (Oberwolfach Seminars) by Matthias Kreck, Wolfgang Lück | |
Paperback: 266
Pages
(2005-02-14)
list price: US$59.95 -- used & new: US$29.60 (price subject to change: see help) Asin: 3764371412 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given. Finally, the most recent developments concerning these conjectures are surveyed, including a detailed status report. Customer Reviews (1)
An effective overview |
83. Arithmetic Noncommutative Geometry (University Lecture Series) by Matilde Marcolli | |
Paperback: 136
Pages
(2005-08-09)
list price: US$30.00 -- used & new: US$27.05 (price subject to change: see help) Asin: 0821838334 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Compact and to the point |
84. Algebraic Number Theory (Grundlehren der mathematischen Wissenschaften) (v. 322) by Jürgen Neukirch | |
Hardcover: 571
Pages
(1999-06-22)
list price: US$169.00 -- used & new: US$94.30 (price subject to change: see help) Asin: 3540653996 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Must have for AN
One of the most beautifully written math books
10 stars if I could. |
85. Emerging Applications of Algebraic Geometry | |
Paperback: 392
Pages
(2009-11-23)
list price: US$99.00 -- used & new: US$99.00 (price subject to change: see help) Asin: 1441918817 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research. |
86. Plane Algebraic Curves (Student Mathematical Library, V. 15) by Gerd Fischer | |
Paperback: 231
Pages
(2001-06-21)
list price: US$39.00 -- used & new: US$35.10 (price subject to change: see help) Asin: 0821821229 Canada | United Kingdom | Germany | France | Japan | |
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87. Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Cambridge Studies in Advanced Mathematics) (v. 2) by Claire Voisin | |
Paperback: 364
Pages
(2008-02-04)
list price: US$46.99 -- used & new: US$38.29 (price subject to change: see help) Asin: 0521718023 Canada | United Kingdom | Germany | France | Japan | |
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88. Algebraic Geometry 3: Further Study of Schemes (Translations of Mathematical Monographs) by Kenji Ueno | |
Paperback: 222
Pages
(2003-06-20)
list price: US$49.00 -- used & new: US$45.00 (price subject to change: see help) Asin: 0821813587 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description In this volume, the author goes beyond introductory notions and presents the theory of schemes and sheaves with the goal of studying the properties necessary for the full development of modern algebraic geometry. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem. Ueno also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem. |
89. Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory (Graduate Texts in Mathematics) by Harold M. Edwards | |
Paperback: 407
Pages
(2000-01-14)
list price: US$59.95 -- used & new: US$28.55 (price subject to change: see help) Asin: 0387950028 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Old school algebraic number theory with heavy Kummer bias
great book
Read this if you're seriously interested in math. The answer, of course, is that attacks on the problem revealed deep and important connections between elementary number theory and various other branches of mathematics, such as the theory of rings. Thus, as so often in mathematics, the importance of the problem lies in where it leads the mind, rather than in the problem itself. Harold M. Edwards' book is a minor classic of exposition, showing how the instincts of top-flight research mathematicians lead them to fruitful work from a seemingly unimportant starting point. I'm only sorry that Professor Edwards seems never to have completed the second volume he had hoped to write. Thus book deserves to be read by a much larger audience than it has gotten; in particular, I believe every graduate student in math who hopes to do good research, regardless of specialty, would benefit from reading it. Beyond that, any mathematically inclined reader with a modicum of training in math, is likely to find this a fascinating book. ... Read more |
90. Symplectic Geometry and Topology (Ias/Park City Mathematics) by Yakov Eliashberg and Lisa Traynor | |
Paperback: 430
Pages
(2006-02-01)
list price: US$69.00 -- used & new: US$65.89 (price subject to change: see help) Asin: 0821840959 Canada | United Kingdom | Germany | France | Japan | |
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91. Convex and Discrete Geometry (Grundlehren der mathematischen Wissenschaften) by Peter M. Gruber | |
Paperback: 580
Pages
(2010-11-02)
list price: US$135.00 -- used & new: US$107.51 (price subject to change: see help) Asin: 3642090230 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers, and useful to people working in the applied fields. |
92. The Many Facets of Geometry: A Tribute to Nigel Hitchin by Oscar Garcia-Prada, Jean Pierre Bourguignon, Simon Salamon | |
Hardcover: 464
Pages
(2010-08-17)
list price: US$99.00 -- used & new: US$80.42 (price subject to change: see help) Asin: 0199534926 Canada | United Kingdom | Germany | France | Japan | |
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93. An Introduction to Algebraic Geometry and Algebraic Groups (Oxford Graduate Texts in Mathematics) by Meinolf Geck | |
Hardcover: 320
Pages
(2004-01-15)
list price: US$99.00 -- used & new: US$79.00 (price subject to change: see help) Asin: 0198528310 Canada | United Kingdom | Germany | France | Japan | |
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94. Introduction to algebraic geometry and algebraic groups, Volume 39 (North-Holland Mathematics Studies) | |
Hardcover: 372
Pages
(1980-01-15)
list price: US$210.00 -- used & new: US$210.00 (price subject to change: see help) Asin: 0444854436 Canada | United Kingdom | Germany | France | Japan | |
95. Algebraic Geometry: An Introduction to Birational Geometry of Algebraic Varieties (Graduate Texts in Mathematics, Vol. 76) by S. Iitaka | |
Hardcover: 357
Pages
(1981-12-04)
list price: US$52.00 Isbn: 0387905464 Canada | United Kingdom | Germany | France | Japan | |
96. Stochastic and Integral Geometry (Probability and Its Applications) by Rolf Schneider, Wolfgang Weil | |
Paperback: 694
Pages
(2010-11-02)
list price: US$129.00 -- used & new: US$102.77 (price subject to change: see help) Asin: 3642097669 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes. |
97. Geometry of Conics (Mathematical World) by A. V. Akopyan, A. A. Zaslavsky | |
Paperback: 134
Pages
(2007-12-13)
list price: US$26.00 -- used & new: US$22.00 (price subject to change: see help) Asin: 0821843230 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
A lovely book !! |
98. A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics) by J. P. May | |
Paperback: 254
Pages
(1999-09-01)
list price: US$24.00 -- used & new: US$20.52 (price subject to change: see help) Asin: 0226511839 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (9)
If U want generalization out to infinity, this is it for you, in algebraic topology basics.
The Title Says it All
The opposite of Hatcher
Lucid and elegant, but not for beginners
A Unique and Necessary Book However, as Willard points out, mathematics is learned by successive approximation to the truth. As you becomes more mathematically sophisticated, you should relearn algebraic topology to understand it the way that working mathematicians do. Peter May's book is the only text that I know of that concisely presents the core concepts algebraic topology from a sophisticated abstract point of view. To make it even better, it is beautifully written and the pedagogy is excellent, as Peter May has been teaching and refining this course for decades. Every line has obviously been thought about carefully for correctness and clarity. As an example, ones first exposure to singular homology should be concrete approach using singular chains, but this ultimately doesn't explain why many of the artificial-looking definitions of singular homology are the natural choices. In addition, this decidedly old-fashioned approach is hard to generalize to other combinatorial constructions. Here is how the book does it: First, deduce the cellular homology of CW-complexes as an immediate consequence of the Eilenberg-Steenrod axioms. Considering how one can extend this to general topological spaces suggests that one approximate the space by a CW-complex. Realization of the total singular complex of the space as a CW-complex is a functorial CW-approximation of the space. As the total singular complex induces an equivalence of (weak) homotopy categories and homology is homotopy-invariant, it is natural to define the singular homology of the original space to be the homology of the total singular complex. Although sophisticated, this is a deeply instructive approach, because it shows that the natural combinatorial approximation to a space is its total singular complex in the category of simplicial sets, which lets you transport of combinatorial invariants such as homology of chain complexes. This approach is essential to modern homotopy theory. ... Read more |
99. Coordinate Geometry (Dover Books on Mathematics) by Luther Pfahler Eisenhart | |
Paperback: 320
Pages
(2005-03-04)
list price: US$19.95 -- used & new: US$11.76 (price subject to change: see help) Asin: 0486442616 Canada | United Kingdom | Germany | France | Japan | |
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100. Elements of Noncommutative Geometry (Birkhäuser Advanced Texts Basler Lehrbücher) by Joseph C. Varilly, Hector Figueroa, Jose M. Gracia-Bondia | |
Hardcover: 400
Pages
(2000-10-23)
list price: US$99.00 -- used & new: US$78.25 (price subject to change: see help) Asin: 0817641246 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Key features of the work include: * unified and comprehensive presentation of core topics and key research results drawing from several branches of mathematics This text is an introduction to the language and techniques ofnoncommutative geometry at a level suitable for graduate students, andalso provides sufficient detail to be useful to physicists andmathematicians wishing to enter this rapidly growing field.It mayalso serve as a reference text on several topics that are relevant tononcommutative geometry. Customer Reviews (2)
right complement It is a compulsory complement to Connes's book.
right complement It is a compulsory complement to Connes's book. ... Read more |
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