
Author 
Klaus Hulek 
ISBN10 
9780821829523 
Year 
2003 
Pages 
213 
Language 
en 
Publisher 
American Mathematical Soc. 
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This book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a onesemester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.

Author 
Keith Kendig 
ISBN10 
9780486801872 
Year 
20150119 
Pages 
320 
Language 
en 
Publisher 
Courier Dover Publications 
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Designed to make learning introductory algebraic geometry as easy as possible, this text is intended for advanced undergraduates and graduate students who have taken a oneyear course in algebra and are familiar with complex analysis. This newly updated second edition enhances the original treatment's extensive use of concrete examples and exercises with numerous figures that have been specially redrawn in Adobe Illustrator. An introductory chapter that focuses on examples of curves is followed by a more rigorous and careful look at plane curves. Subsequent chapters explore commutative ring theory and algebraic geometry as well as varieties of arbitrary dimension and some elementary mathematics on curves. Upon finishing the text, students will have a foundation for advancing in several different directions, including toward a further study of complex algebraic or analytic varieties or to the schemetheoretic treatments of algebraic geometry. 2015 edition.

Author 
George William Myers 
ISBN10 
HARVARD:HN3K44 
Year 
1921 
Pages 
111 
Language 
en 
Publisher 

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Author 
Miles Reid 
ISBN10 
0521356628 
Year 
19881215 
Pages 
129 
Language 
en 
Publisher 
Cambridge University Press 
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This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time.

Author 
Michael Joswig 
ISBN10 
9781447148173 
Year 
20130104 
Pages 
250 
Language 
en 
Publisher 
Springer Science & Business Media 
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Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (nonlinear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.

Author 
Thomas A. Garrity 
ISBN10 
9780821893968 
Year 
20130201 
Pages 
335 
Language 
en 
Publisher 
American Mathematical Soc. 
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Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex

Author 
Irving Drooyan 
ISBN10 
0471821292 
Year 
198603 
Pages 
620 
Language 
en 
Publisher 
John Wiley & Sons 
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Author 
G. Kempf 
ISBN10 
0521426138 
Year 
19930909 
Pages 
163 
Language 
en 
Publisher 
Cambridge University Press 
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An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.

Author 
Robin Hartshorne 
ISBN10 
9781475738490 
Year 
20130629 
Pages 
496 
Language 
en 
Publisher 
Springer Science & Business Media 
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An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Author 
Frances Clare Kirwan 
ISBN10 
0521423538 
Year 
19920220 
Pages 
264 
Language 
en 
Publisher 
Cambridge University Press 
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This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.

Author 
Joe Harris 
ISBN10 
9781475721898 
Year 
20131111 
Pages 
330 
Language 
en 
Publisher 
Springer Science & Business Media 
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"This book succeeds brilliantly by concentrating on a number of core topics...and by treating them in a hugely rich and varied way. The author ensures that the reader will learn a large amount of classical material and perhaps more importantly, will also learn that there is no one approach to the subject. The essence lies in the range and interplay of possible approaches. The author is to be congratulated on a work of deep and enthusiastic scholarship." MATHEMATICAL REVIEWS

Author 
Audun Holme 
ISBN10 
3642192254 
Year 
20111006 
Pages 
366 
Language 
en 
Publisher 
Springer Science & Business Media 
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This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!” The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!

Author 
David A Cox 
ISBN10 
0387207333 
Year 
20050317 
Pages 
12 
Language 
en 
Publisher 
Springer Science & Business Media 
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The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic geometry and highlights recent applications of Grobner bases and resultants. This edition contains two new sections, a new chapter, updated references and many minor improvements throughout.

Author 
Ernst Kunz 
ISBN10 
9781461459873 
Year 
20121106 
Pages 
238 
Language 
en 
Publisher 
Springer Science & Business Media 
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Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience. Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces and—a closely related problem—with the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.

Author 
Donu Arapura 
ISBN10 
9781461418092 
Year 
20120215 
Pages 
329 
Language 
en 
Publisher 
Springer Science & Business Media 
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This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a nonintimidating style.