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Author : Dionysius Lardner
Publisher :
ISBN 13 :
Total Pages : 857 pages
Book Rating : 4.L/5 ( download)
Download or read book Treatise on Algebraic Geometry written by Dionysius Lardner and published by . This book was released on 1831 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julian Lowell Coolidge
Publisher : Courier Corporation
ISBN 13 : 9780486495767
Total Pages : 554 pages
Book Rating : 4.4/5 (957 download)
Download or read book A Treatise on Algebraic Plane Curves written by Julian Lowell Coolidge and published by Courier Corporation. This book was released on 2004-01-01 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the properties of the general curve, and chiefly employs algebraic procedure. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. 1931 edition. 17 illustrations.
Author : Ramón González Calvet
Publisher : Treatise of Plane Geometry
ISBN 13 : 8461191498
Total Pages : 43 pages
Book Rating : 4.4/5 (611 download)
Download or read book Treatise of Plane Geometry Through Geometric Algebra written by Ramón González Calvet and published by Treatise of Plane Geometry. This book was released on 2007 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frances Clare Kirwan
Publisher : Cambridge University Press
ISBN 13 : 9780521423533
Total Pages : 278 pages
Book Rating : 4.4/5 (235 download)
Download or read book Complex Algebraic Curves written by Frances Clare Kirwan and published by Cambridge University Press. This book was released on 1992-02-20 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Qing Liu
Publisher : Oxford University Press
ISBN 13 : 0191547808
Total Pages : 593 pages
Book Rating : 4.1/5 (915 download)
Download or read book Algebraic Geometry and Arithmetic Curves written by Qing Liu and published by Oxford University Press. This book was released on 2006-06-29 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing-ups and desingularisation (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction of algebraic curves. The case of elliptic curves is studied in detail. The book concludes with the funadmental theorem of stable reduction of Deligne-Mumford. The book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are therefore few, and the book should suit a graduate student. It contains many examples and nearly 600 exercises.
Author : Dionysius Lardner
Publisher :
ISBN 13 : 9781298660695
Total Pages : 570 pages
Book Rating : 4.6/5 (66 download)
Download or read book Treatise on Algebraic Geometry written by Dionysius Lardner and published by . This book was released on 2017-08-26 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dionysius Lardner
Publisher :
ISBN 13 :
Total Pages : 582 pages
Book Rating : 4.:/5 (334 download)
Download or read book A Treatise on Algebraic Geometry written by Dionysius Lardner and published by . This book was released on 1831 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Fulton
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (1 download)
Download or read book Algebraic Curves written by William Fulton and published by . This book was released on 2008 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals and polynomials, such as is often covered in a one-semester course in modern algebra; additional commutative algebra is developed in later sections.
Author : Dionysius Lardner
Publisher : Arkose Press
ISBN 13 : 9781343893573
Total Pages : 852 pages
Book Rating : 4.8/5 (935 download)
Download or read book A Treatise on Algebraic Geometry written by Dionysius Lardner and published by Arkose Press. This book was released on 2015-10-03 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : David Eisenbud
Publisher : Springer Science & Business Media
ISBN 13 : 0387226397
Total Pages : 265 pages
Book Rating : 4.3/5 (872 download)
Download or read book The Geometry of Schemes written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
Author : Lewis Carroll
Publisher :
ISBN 13 :
Total Pages : 157 pages
Book Rating : 4.L/5 ( download)
Download or read book An Elementary Treatise on Determinants written by Lewis Carroll and published by . This book was released on 1867 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a treatise on mathematical determinants and their application to simultaneous linear equations and algebraical geometry.
Author : Daniel Cresswell
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Treatise of Geometry, Containing the First Six Books of Euclid's Elements written by Daniel Cresswell and published by . This book was released on 1819 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 1475738498
Total Pages : 511 pages
Book Rating : 4.4/5 (757 download)
Download or read book Algebraic Geometry written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : George Hale Puckle
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.A/5 ( download)
Download or read book An Elementary Treatise on Conic Sections and Algebraic Geometry written by George Hale Puckle and published by . This book was released on 1868 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ciro Ciliberto
Publisher : Springer Nature
ISBN 13 : 3030710211
Total Pages : 327 pages
Book Rating : 4.0/5 (37 download)
Download or read book An Undergraduate Primer in Algebraic Geometry written by Ciro Ciliberto and published by Springer Nature. This book was released on 2021-05-05 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann–Roch and Riemann–Hurwitz Theorems. The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point–set topology. This book can be used as a textbook for an undergraduate course in algebraic geometry. The users of the book are not necessarily intended to become algebraic geometers but may be interested students or researchers who want to have a first smattering in the topic. The book contains several exercises, in which there are more examples and parts of the theory that are not fully developed in the text. Of some exercises, there are solutions at the end of each chapter.
Author : Kenji Ueno
Publisher : American Mathematical Soc.
ISBN 13 : 0821808621
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Geometry 1 written by Kenji Ueno and published by American Mathematical Soc.. This book was released on 1999 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: By studying algebraic varieties over a field, this book demonstrates how the notion of schemes is necessary in algebraic geometry. It gives a definition of schemes and describes some of their elementary properties.
Author : Herbert Federer
Publisher : Springer
ISBN 13 : 3642620108
Total Pages : 694 pages
Book Rating : 4.6/5 (426 download)
Download or read book Geometric Measure Theory written by Herbert Federer and published by Springer. This book was released on 2014-11-25 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)
