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21. Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics) by Saugata Basu, Richard Pollack, Marie-Françoise Coste-Roy | |
Paperback: 662
Pages
(2010-11-02)
list price: US$89.95 -- used & new: US$89.95 (price subject to change: see help) Asin: 3642069649 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. The main ideas and techniques presented form a coherent and rich body of knowledge. Mathematicians will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students. This second edition contains several recent results on discriminants of symmetric matrices and other relevant topics. |
22. Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics) | |
Paperback: 211
Pages
(1998-09-17)
list price: US$59.95 -- used & new: US$50.60 (price subject to change: see help) Asin: 3540648631 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Not bad |
23. Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) by David Cox, John Little, Donal O'Shea | |
Hardcover: 556
Pages
(2006-02-24)
list price: US$59.95 -- used & new: US$45.00 (price subject to change: see help) Asin: 0387946802 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The algorithms to answer questions such as those posed above are an important part of algebraic geometry.This book bases its discussion of algorithms on a generalization of the division algorithm for polynomials in one variable that was only discovered it the 1960's. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century.This has changed in recent years, and new algorithms, coupled with the power of fast computers, have let to some interesting applications, for example in robotics and in geometric Theorem proving. In preparing a new edition of "Ideals, Varieties and Algorithms" the authors present an improved proof of the Buchberger Criterion as well as a proof of Bezout's Theorem. Appendix C contains a new section on Axiom and an update about Maple, Mathematica and REDUCE. Customer Reviews (6)
Symbolic computation
Easiest introduction to Algebraic Geometry
Straightforward and lucidly written
Good book
The best book on the topic |
24. Computing in Algebraic Geometry: A Quick Start using SINGULAR (Algorithms and Computation in Mathematics) by Wolfram Decker, Christoph Lossen | |
Paperback: 327
Pages
(2009-12-15)
list price: US$69.95 -- used & new: US$34.00 (price subject to change: see help) Asin: 3642067018 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way. |
25. Computational Algebraic Geometry (London Mathematical Society Student Texts) by Hal Schenck | |
Paperback: 208
Pages
(2003-10-06)
list price: US$38.99 -- used & new: US$31.98 (price subject to change: see help) Asin: 0521536502 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Excellent comprehension |
26. Fundamental Algebraic Geometry (Mathematical Surveys and Monographs) by Barbara Fantechi, Lothar Gottsche, Luc Illusie, Steven L. Kleiman, Nitin Nitsure | |
Paperback: 339
Pages
(2006-12-10)
list price: US$79.00 -- used & new: US$79.00 (price subject to change: see help) Asin: 0821842455 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
27. Classification of Higher Dimensional Algebraic Varieties (Oberwolfach Seminars) by Christopher D. Hacon, Sándor Kovács | |
Paperback: 220
Pages
(2010-07-16)
list price: US$34.95 -- used & new: US$29.23 (price subject to change: see help) Asin: 3034602898 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
28. Algebraic Geometry I: Complex Projective Varieties (Classics in Mathematics) (v. 1) by David Mumford | |
Paperback: 186
Pages
(1995-02-15)
list price: US$69.95 -- used & new: US$48.11 (price subject to change: see help) Asin: 3540586571 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
a classic in mathematics |
29. Higher-Dimensional Algebraic Geometry (Universitext) by Olivier Debarre | |
Paperback: 233
Pages
(2010-11-02)
list price: US$74.95 -- used & new: US$62.70 (price subject to change: see help) Asin: 1441929177 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
30. Introduction to Algebraic Geometry and Commutative Algebra (IISc Lecture Notes Series) by Dilip P. Patil, Uwe Storch | |
Hardcover: 220
Pages
(2010-03-31)
list price: US$73.00 -- used & new: US$58.87 (price subject to change: see help) Asin: 9814304565 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Along the lines developed by Grothendieck, this book delves into the rich interplay between algebraic geometry and commutative algebra. A selection is made from the wealth of material in the discipline, along with concise yet clear definitions and synopses. |
31. Algebraic Projective Geometry (Oxford Classic Texts in the Physical Sciences) by the late J. G. Semple, G. T. Kneebone | |
Paperback: 412
Pages
(1998-11-12)
list price: US$85.00 -- used & new: US$61.05 (price subject to change: see help) Asin: 0198503636 Canada | United Kingdom | Germany | France | Japan | |
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32. Algebraic Geometry: An Introduction (Universitext) by Daniel Perrin | |
Paperback: 263
Pages
(2007-12-19)
list price: US$69.95 -- used & new: US$43.12 (price subject to change: see help) Asin: 1848000553 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the Université Paris-Sud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field. The book starts with easily-formulated problems with non-trivial solutions – for example, Bézout’s theorem and the problem of rational curves – and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study. Customer Reviews (1)
one of the best introductory books |
33. Mirror Symmetry and Algebraic Geometry (Mathematical Surveys and Monographs) by David A. Cox | |
Paperback: 469
Pages
(1999-03-03)
list price: US$54.00 -- used & new: US$53.46 (price subject to change: see help) Asin: 082182127X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Powerful
Excellent overview of mirror symmetry |
34. Complex Algebraic Geometry (IAS/Park City Mathematics Series) by Janos Kollar | |
Paperback: 340
Pages
(2000-01-01)
list price: US$57.00 -- used & new: US$56.72 (price subject to change: see help) Asin: 0821811452 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
35. Methods of Algebraic Geometry in Control Theory: Multivariable Linear Systems and Projective Algebraic Geometry Part II by Peter Falb | |
Hardcover: 404
Pages
(2000-02-01)
list price: US$109.00 -- used & new: US$14.95 (price subject to change: see help) Asin: 0817641130 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Part I Scalar Linear Systems and Affine Algebraic Geometry contains a clear presentation, with an applied flavor, of the core ideas in the algebro-geometric treatment of scalar linear system theory. Part II extends the theory to multivariable systems. After delineating limitations of the scalar theory through carefully chosen examples, the author introduces seven representations of a multivariable linear system and establishes the major results of the underlying theory. Of key importance is a clear, detailed analysis of the structure of the space of linear systems including the full set of equations defining the space. Key topics also covered are the Geometric Quotient Theorem and a highly geometric analysis of both state and output feedback. Prerequisites are the basics of linear algebra, some simple topological notions, the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises, which are an integral part of the exposition throughout, combined with an index and extensive bibliography of related literature make this a valuable classroom tool or good self-study resource. |
36. Algebraic Surfaces (Universitext) by Lucian Badescu | |
Paperback: 258
Pages
(2010-11-02)
list price: US$69.95 -- used & new: US$69.95 (price subject to change: see help) Asin: 144193149X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
37. Computations in Algebraic Geometry with Macaulay 2 by Bernd Sturmfels | |
Hardcover: 345
Pages
(2001-10-25)
list price: US$89.95 -- used & new: US$81.08 (price subject to change: see help) Asin: 3540422307 Canada | United Kingdom | Germany | France | Japan | |
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38. Foundations of Algebraic Geometry (Colloquium Publications (Amer Mathematical Soc)) by Andre Weil | |
Paperback: 363
Pages
(1946-12-31)
list price: US$39.00 -- used & new: US$37.43 (price subject to change: see help) Asin: 0821810294 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
39. Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics) by Gerald Edgar | |
Hardcover: 272
Pages
(2007-11-26)
list price: US$54.95 -- used & new: US$35.00 (price subject to change: see help) Asin: 0387747486 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description From reviews of the first edition: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology...the book also contains many good illustrations of fractals (including 16 color plates)." Mathematics Teaching "The book can be recommended to students who seriously want to know about the mathematical foundation of fractals, and to lecturers who want to illustrate a standard course in metric topology by interesting examples." Christoph Bandt, Mathematical Reviews "...not only intended to fit mathematics students who wish to learn fractal geometry from its beginning but also students in computer science who are interested in the subject. Especially, for the last students the author gives the required topics from metric topology and measure theory on an elementary level. The book is written in a very clear style and contains a lot of exercises which should be worked out." H.Haase, Zentralblatt About the second edition: Changes throughout the text, taking into account developments in the subject matter since 1990; Major changes in chapter 6. Since 1990 it has become clear that there are two notions of dimension that play complementary roles, so the emphasis on Hausdorff dimension will be replaced by the two: Hausdorff dimension and packing dimension. 6.1 will remain, but a new section on packing dimension will follow it, then the old sections 6.2--6.4 will be re-written to show both types of dimension; Substantial change in chapter 7: new examples along with recent developments; Sections rewritten to be made clearer and more focused. Customer Reviews (4)
some new material->same approach
A nice book
Good starting point to study fractal geometry. Suitable for 3rd-year undergrads.Interesting examples and exercises. Extensive bibliography. Please checkmy other reviews in my member page (just click on my name above).
A difficult but worthy book! |
40. Algebraic Geometry 1 Algebraic Curves, Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences) (Vol. 1) (Vol 1) by V.I. Danilov, V.V. Shokurov | |
Hardcover: 307
Pages
(1998-03-17)
list price: US$149.00 -- used & new: US$105.00 (price subject to change: see help) Asin: 3540519955 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
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