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Algebraic Geometry


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Introduction To Elliptic Curves & Modular F 2ND Edition
Introduction To Elliptic Curves & Modular F 2ND Edition
by Neal Koblitz
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A text for a graduate mathematics course, covering the properties of elliptic curves and modular forms, emphasizing certain connections with number theory. Uses the congruent number problem as the basis, rather than any of the more advanced or more... (read more)

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Annals of Mathematics Studies #22: Functional Operators, Volume II: The Geometry of Orthogonal Spaces
Annals of Mathematics Studies #22: Functional Operators, Volume II: The Geometry of Orthogonal Spaces
by John Von Neumann
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Measures and integrals... (read more)

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Oberwolfach Seminars #35: Tropical Algebraic Geometry
Oberwolfach Seminars #35: Tropical Algebraic Geometry
by Ilia Itenberg
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These notes present a polished introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make... (read more)

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The Grothendieck Festschrift Volume III: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Modern Birkhuser Classics)
The Grothendieck Festschrift Volume III: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Modern Birkhuser Classics)
by Pierre Cartier
Publisher Comments
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians... (read more)

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Grundlehren der Mathematischen Wissenschaften #334: Deformations of Algebraic Schemes
Grundlehren der Mathematischen Wissenschaften #334: Deformations of Algebraic Schemes
by Edoardo Sernesi
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The study of small and local deformations of algebraic varieties originates in the classical work of Kodaira and Spencer and its formalization by Grothendieck in the late 1950's. It has become increasingly important in algebraic geometry in every context... (read more)

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Real Analytic & Algebraic Geometry: Proceedings of the International Conference on Real Analytic & Algebraic Geometry (1992: Trento, Italy)
Real Analytic & Algebraic Geometry: Proceedings of the International Conference on Real Analytic & Algebraic Geometry (1992: Trento, Italy)
by Fabrizio Broglia
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Researchers on real geometry focus on applications in robotics and vision and bring to the task a variety of problems, aspects, and methods from such fields as topology and algebra. The 17 papers discuss real holomorphy rings, the Gabrielov theorem... (read more)

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Lecture Notes in Pure and Applied Mathematics #218: Geometric and Combinatorial Aspects of Commutative Algebra
Lecture Notes in Pure and Applied Mathematics #218: Geometric and Combinatorial Aspects of Commutative Algebra
by Jurgen Herzog
Book News Annotation
Herzog (mathematics, U. of Essen) and Restuccia (algebra, U. of Mesina) present 31 research papers based on lectures delivered at a recent international conference on commutative algebra and algebraic geometry. They provide the latest developments and... (read more)

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Ramanujan's Lost Notebook: Part I
Ramanujan's Lost Notebook: Part I
by George E. Andrews and Bruce C. Berndt
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This volume is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook.... (read more)

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The Grothendieck Festschrift Volume II: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Modern Birkhuser Classics)
The Grothendieck Festschrift Volume II: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Modern Birkhuser Classics)
by Pierre Cartier
Publisher Comments
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians... (read more)

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Ramanujan's Lost Notebook: Part II
Ramanujan's Lost Notebook: Part II
by George E. Andrews
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In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of... (read more)

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Configurations from a Graphical Viewpoint (Birkh User Advanced Texts Basler Lehrb Cher)
Configurations from a Graphical Viewpoint (Birkh User Advanced Texts Basler Lehrb Cher)
by Toma Pisanski
Publisher Comments
Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration. In this self-contained... (read more)

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Elementary Geometry of Algebraic Curves: An Undergraduate Introduction
Elementary Geometry of Algebraic Curves: An Undergraduate Introduction
by C. G. Gibson
About the Author
Chris Gibson received an honours degree in Mathematics from St Andrews University in 1963, and later the degrees of Drs Math and Dr Math from the University of Amsterdam, returning to England in 1967 to begin his 35 year mathematics career at the... (read more)

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Geometry Booklet
Geometry Booklet
by Inc. (com) Barcharts
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The new QuickStudy Booklets cover the key information on some of the toughest courses today, helping students boost their grades. The books are presented in the clear, concise format readers have come to expect from QuickStudy. Covers the fundamentals of... (read more)

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Mathematical Sciences Research Institute Publications #28: Current Topics in Complex Algebraic Geometry
Mathematical Sciences Research Institute Publications #28: Current Topics in Complex Algebraic Geometry
by Herbert Clemens
Review
'... an overview of recent developments in the subject ... While this is inevitably a book for the expert, the contributors have tried not to become too technical... (read more)

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Higher-Dimensional Algebraic Geometry (Universitext)
Higher-Dimensional Algebraic Geometry (Universitext)
by Olivier Debarre
Publisher Comments
The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily... (read more)

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Algorithms and Computation in Mathematics #22: Rational Algebraic Curves: A Computer Algebra Approach
Algorithms and Computation in Mathematics #22: Rational Algebraic Curves: A Computer Algebra Approach
by J. Rafael Sendra
Publisher Comments
The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining... (read more)

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Lecture Notes in Mathematics #1972: Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks
Lecture Notes in Mathematics #1972: Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks
by Takuro Mochizuki
Synopsis
This text defines and studies an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized surface. The goal is to obtain a weaker version of the relations among the invariants.... (read more)

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Modular Forms and Special Cycles on Shimura Curves (Annals of Mathematics Studies)
Modular Forms and Special Cycles on Shimura Curves (Annals of Mathematics Studies)
by Stephen S. Kudla
Publisher Comments
Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational... (read more)

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Algebraic Geometry: An Introduction (Universitext)
Algebraic Geometry: An Introduction (Universitext)
by Daniel Perrin
Synopsis
This book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject. Exercises are provided for each topic discussed, and a selection of problems and exam papers are collected in an... (read more)

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Geometry and Interpolation of Curves and Surfaces
Geometry and Interpolation of Curves and Surfaces
by Robin J. Y. Mcleod
Publisher Comments
This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for... (read more)

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