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41. Undergraduate Algebraic Geometry (London Mathematical Society Student Texts) by Miles Reid | |
Paperback: 140
Pages
(1989-01-27)
list price: US$31.99 -- used & new: US$27.21 (price subject to change: see help) Asin: 0521356628 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Exceptionally good book; but make sure this is what you need
Unreadable but well-organized
baked just right for the first timers ! |
42. Several Complex Variables with Connections to Algebraic Geometry and Lie Groups (Graduate Studies in Mathematics, V. 46) by Joseph L. Taylor | |
Hardcover: 507
Pages
(2002-05-14)
list price: US$82.00 -- used & new: US$76.26 (price subject to change: see help) Asin: 082183178X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Of particular interest are the last three chapters, which are devoted to applications of the preceding material to the study of the structure theory and representation theory of complex semisimple Lie groups. Included are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic's proof of the Borel-Weil-Bott theorem, which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for the expert. |
43. Methods of Algebraic Geometry: Volume 1 (Cambridge Mathematical Library) by W. V. D. Hodge, D. Pedoe | |
Paperback: 452
Pages
(1994-04-29)
list price: US$75.00 -- used & new: US$67.47 (price subject to change: see help) Asin: 0521469007 Canada | United Kingdom | Germany | France | Japan | |
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44. Lectures on Algebraic Cycles (New Mathematical Monographs) by Spencer Bloch | |
Hardcover: 154
Pages
(2010-09-20)
list price: US$59.00 -- used & new: US$47.20 (price subject to change: see help) Asin: 0521118425 Canada | United Kingdom | Germany | France | Japan | |
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45. Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics) by David Eisenbud | |
Paperback: 797
Pages
(1995-03-30)
list price: US$49.95 -- used & new: US$39.97 (price subject to change: see help) Asin: 0387942696 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (7)
Excellent Book...very atypical for a math book, but I like it!
Not for the beginner
Good book of reference
very good, but should be read slowly
Superb (1) The history of commutative algebra and its connection with algebraic geometry, for example the origin of the concept of an "ideal" of a ring as generalizing unique factorization. (2) The discussion of the concept of localization, especially its origins in geometry. A zero dimensional ring (collection of "points") is a ring whose primes are all maximal, as expected. (3) The theory of prime decomposition as a generalization of unique prime factorization. Primary decomposition is given a nice geometric interpretation in the book. (4) Five different proofs of the Nullstellensatz discussed, giving the reader good insight on this important result. (5) The geometric interpretation of an associated graded ring corresponding to the exceptional set in the blowup algebra. (6) The notion of flatness of a module as a continuity of fibers and a test for this using the Tor functor. (7) The characterization of Hensel's lemma as a version of Newton's method for solving equations. The geometric interpretation of the completion as representing the properties of a variety in neighborhoods smaller than Zariski open neighborhoods. (8) The characterization of dimension using the Hilbert polynomial. (9) The fiber dimension and the proof of its upper semicontinuity. (10) The discussion of Grobner bases and flat families. Nice examples are given of a flat family connecting a finite set of ideals to their initial ideals. (11) Computer algebra projects for the reader using the software packages CoCoA and Macaulay. (12) The theory of differentials in algebraic geometry as a generalization of what is done in differential geometry. (13) The discussion of how to construct complexes using tensor products and mapping cones in order to study the Koszul complex. (14) The connection of the Koszul complex to the cotangent bundle of projective space. (15) The geometric interpretation of the Cohen-Macauley property as a map to a regular variety. ... Read more |
46. Projective Geometry and Modern Algebra by Lars Kadison, Matthias T. Kromann | |
Hardcover: 228
Pages
(1996-01-26)
list price: US$79.95 -- used & new: US$41.00 (price subject to change: see help) Asin: 0817639004 Canada | United Kingdom | Germany | France | Japan | |
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47. The Geometry of Moduli Spaces of Sheaves (Cambridge Mathematical Library) by Daniel Huybrechts, Manfred Lehn | |
Paperback: 344
Pages
(2010-07-05)
list price: US$50.00 -- used & new: US$41.00 (price subject to change: see help) Asin: 052113420X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
48. Arithmetic Algebraic Geometry (Ias/Park City Mathematics) by Brian Conrad and Karl Rubin | |
Paperback: 569
Pages
(2008-02-07)
list price: US$79.00 -- used & new: US$53.32 (price subject to change: see help) Asin: 0821844482 Canada | United Kingdom | Germany | France | Japan | |
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49. Geometry of Algebraic Curves: Volume I (Grundlehren der mathematischen Wissenschaften) by Enrico Arbarello, Maurizio Cornalba, Phillip A. Griffiths, Joseph Daniel Harris | |
Paperback: 404
Pages
(2010-11-02)
list price: US$119.00 -- used & new: US$94.89 (price subject to change: see help) Asin: 1441928251 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as vol. 267 of the same series. |
50. Lectures on Algebraic Geometry 1: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics) by Guenter Harder | |
Hardcover: 300
Pages
(2008-01-30)
list price: US$81.05 Isbn: 3528031360 Canada | United Kingdom | Germany | France | Japan | |
51. Algebraic Geometry 1: From Algebraic Varieties to Schemes (Translations of Mathematical Monographs) (Vol 1) by Kenji Ueno | |
Paperback: 168
Pages
(1999-09-27)
list price: US$29.00 -- used & new: US$25.96 (price subject to change: see help) Asin: 0821808621 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Early in the 20th century, algebraic geometry underwent a significant overhaul, as mathematicians, notably Zariski, introduced a much stronger emphasis on algebra and rigor into the subject. This was followed by another fundamental change in the 1960s with Grothendieck's introduction of schemes. Today, most algebraic geometers are well-versed in the language of schemes, but many newcomers are still initially hesitant about them. Ueno's book provides an inviting introduction to the theory, which should overcome any such impediment to learning this rich subject. The book begins with a description of the standard theory of algebraic varieties. Then, sheaves are introduced and studied, using as few prerequisites as possible. Once sheaf theory has been well understood, the next step is to see that an affine scheme can be defined in terms of a sheaf over the prime spectrum of a ring. By studying algebraic varieties over a field, Ueno demonstrates how the notion of schemes is necessary in algebraic geometry. This first volume gives a definition of schemes and describes some of their elementary properties. It is then possible, with only a little additional work, to discover their usefulness. Further properties of schemes will be discussed in the second volume. Customer Reviews (2)
Not good by comparison
A Good Book Overall |
52. Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals (Volume 0) by R.K. Lazarsfeld | |
Paperback: 385
Pages
(2004-10-15)
list price: US$34.95 -- used & new: US$28.56 (price subject to change: see help) Asin: 3540225315 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This two volume work on |
53. Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31): (Mathematical Notes) by Frances Clare Kirwan | |
Paperback: 216
Pages
(1984-12-01)
list price: US$57.50 -- used & new: US$57.47 (price subject to change: see help) Asin: 0691083703 Canada | United Kingdom | Germany | France | Japan | |
54. Algebraic Geometry and Statistical Learning Theory (Cambridge Monographs on Applied and Computational Mathematics) by Sumio Watanabe | |
Hardcover: 300
Pages
(2009-09-28)
list price: US$75.00 -- used & new: US$43.98 (price subject to change: see help) Asin: 0521864674 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Excellent |
55. Lectures on Algebraic Statistics (Oberwolfach Seminars) by Mathias Drton, Bernd Sturmfels, Seth Sullivant | |
Paperback: 171
Pages
(2008-12-18)
list price: US$39.95 -- used & new: US$35.85 (price subject to change: see help) Asin: 3764389044 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of "algebraic statistics". In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers from the different camps to algebraic statistics. The introduction will be centered around the following three observations: many important statistical models correspond to algebraic or semi-algebraic sets of parameters; the geometry of these parameter spaces determines the behaviour of widely used statistical inference procedures; computational algebraic geometry can be used to study parameter spaces and other features of statistical models. |
56. Linear Algebraic Groups (Modern Birkhäuser Classics) by T.A. Springer | |
Paperback: 334
Pages
(2008-11-13)
list price: US$49.95 -- used & new: US$29.49 (price subject to change: see help) Asin: 0817648399 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrary fields, which are not necessarily algebraically closed. It thus represents a higher aim. As in the first edition, the book includes a self-contained treatment of the prerequisites from algebraic geometry and commutative algebra, as well as basic results on reductive groups. As a result, the first part of the book can well serve as a text for an introductory graduate course on linear algebraic groups. |
57. Algebraic Topology by Allen Hatcher | |
Paperback: 550
Pages
(2001-11-15)
list price: US$37.99 -- used & new: US$30.01 (price subject to change: see help) Asin: 0521795400 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (19)
Terrible textbook
More Hand-Waving Than an Orchestral Conductor
Really bad as a "readable" texbookbut good reference
amazing book, but caveat emptor
excellent modern introduction |
58. Elementary Geometry of Algebraic Curves: An Undergraduate Introduction by C. G. Gibson | |
Hardcover: 268
Pages
(1999-01-13)
list price: US$115.00 -- used & new: US$102.11 (price subject to change: see help) Asin: 0521641403 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Does what it claims |
59. Geometry of Low-Dimensional Manifolds, Vol. 1: Gauge Theory and Algebraic Surfaces (London Mathematical Society Lecture Note Series) | |
Paperback: 276
Pages
(1991-01-25)
list price: US$60.00 -- used & new: US$46.42 (price subject to change: see help) Asin: 0521399785 Canada | United Kingdom | Germany | France | Japan | |
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60. Algebraic Topology via Differential Geometry (London Mathematical Society Lecture Note Series) by M. Karoubi, C. Leruste | |
Paperback: 363
Pages
(1988-01-29)
list price: US$70.00 -- used & new: US$65.63 (price subject to change: see help) Asin: 0521317142 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
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