An Invitation To Algebraic Geometry

Author : Karen E. Smith
Publisher : Springer Science & Business Media
ISBN 13 : 1475744978
Total Pages : 173 pages
Book Rating : 4.72/5 ( download)

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Download or read book An Invitation to Algebraic Geometry written by Karen E. Smith and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

Author : Karen Smith
Publisher : Springer Science & Business Media
ISBN 13 : 9780387989808
Total Pages : 188 pages
Book Rating : 4.03/5 ( download)

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Download or read book An Invitation to Algebraic Geometry written by Karen Smith and published by Springer Science & Business Media. This book was released on 2004-01-27 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

Author : Karen Smith
Publisher :
ISBN 13 : 9781475744989
Total Pages : 184 pages
Book Rating : 4.86/5 ( download)

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Download or read book An Invitation to Algebraic Geometry written by Karen Smith and published by . This book was released on 2014-01-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Z. A. Melzak
Publisher : Courier Corporation
ISBN 13 : 0486789489
Total Pages : 244 pages
Book Rating : 4.84/5 ( download)

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Download or read book Invitation to Geometry written by Z. A. Melzak and published by Courier Corporation. This book was released on 2014-01-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.

Author : Dino Lorenzini
Publisher : American Mathematical Society
ISBN 13 : 1470467259
Total Pages : 397 pages
Book Rating : 4.58/5 ( download)

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Download or read book An Invitation to Arithmetic Geometry written by Dino Lorenzini and published by American Mathematical Society. This book was released on 2021-12-23 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extremely carefully written, masterfully thought out, and skillfully arranged introduction … to the arithmetic of algebraic curves, on the one hand, and to the algebro-geometric aspects of number theory, on the other hand. … an excellent guide for beginners in arithmetic geometry, just as an interesting reference and methodical inspiration for teachers of the subject … a highly welcome addition to the existing literature. —Zentralblatt MATH The interaction between number theory and algebraic geometry has been especially fruitful. In this volume, the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive examples are given to illustrate each new concept, and many interesting exercises are given at the end of each chapter. Most of the important results in the one-dimensional case are proved, including Bombieri's proof of the Riemann Hypothesis for curves over a finite field. While the book is not intended to be an introduction to schemes, the author indicates how many of the geometric notions introduced in the book relate to schemes, which will aid the reader who goes to the next level of this rich subject.

Author : Mateusz Michałek
Publisher : American Mathematical Society
ISBN 13 : 1470453673
Total Pages : 226 pages
Book Rating : 4.71/5 ( download)

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Download or read book Invitation to Nonlinear Algebra written by Mateusz Michałek and published by American Mathematical Society. This book was released on 2021-03-05 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known results, but rather a first introduction to the subject, allowing the reader to enter into more advanced topics. It was designed as the next step after linear algebra and well before abstract algebraic geometry. The book presents both classical topics—like the Nullstellensatz and primary decomposition—and more modern ones—like tropical geometry and semidefinite programming. The focus lies on interactions and applications. Each of the thirteen chapters introduces fundamental concepts. The book may be used for a one-semester course, and the over 200 exercises will help the readers to deepen their understanding of the subject.

Author : Audun Holme
Publisher : Springer Science & Business Media
ISBN 13 : 3642192254
Total Pages : 365 pages
Book Rating : 4.58/5 ( download)

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Download or read book A Royal Road to Algebraic Geometry written by Audun Holme and published by Springer Science & Business Media. This book was released on 2011-10-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Matilde Marcolli
Publisher : World Scientific
ISBN 13 : 9814475629
Total Pages : 516 pages
Book Rating : 4.24/5 ( download)

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Download or read book An Invitation To Noncommutative Geometry written by Matilde Marcolli and published by World Scientific. This book was released on 2008-02-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory.

Author : Jorge Vitório Pereira
Publisher : Springer
ISBN 13 : 3319145622
Total Pages : 213 pages
Book Rating : 4.24/5 ( download)

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Download or read book An Invitation to Web Geometry written by Jorge Vitório Pereira and published by Springer. This book was released on 2015-02-23 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern’s bound and Trépreau’s algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.

Author : Harvey Cohn
Publisher : Springer Science & Business Media
ISBN 13 : 1461299500
Total Pages : 344 pages
Book Rating : 4.09/5 ( download)

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Download or read book A Classical Invitation to Algebraic Numbers and Class Fields written by Harvey Cohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Artin's 1932 Göttingen Lectures on Class Field Theory" and "Connections between Algebrac Number Theory and Integral Matrices"