Rudiments of Algebraic Geometry

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Author: W.E. Jenner

Publisher: Courier Dover Publications

ISBN: 0486818063

Category: Mathematics

Page: 112

View: 8418

Aimed at advanced undergraduate students of mathematics, this concise text covers the basics of algebraic geometry. Topics include affine spaces, projective spaces, rational curves, algebraic sets with group structure, more. 1963 edition.

Algebraic Geometry

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Author: Solomon Lefschetz

Publisher: Courier Corporation

ISBN: 0486154726

Category: Mathematics

Page: 256

View: 6602

An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.

Elementary Algebraic Geometry

Second Edition

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Author: Keith Kendig

Publisher: Courier Dover Publications

ISBN: 048680187X

Category: Mathematics

Page: 320

View: 5941

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 one-year 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 scheme-theoretic treatments of algebraic geometry. 2015 edition.

Introduction to Algebraic Geometry

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Author: Serge Lang

Publisher: Courier Dover Publications

ISBN: 048683980X

Category: Mathematics

Page: 272

View: 1326

Rapid, concise, self-contained introduction assumes only familiarity with elementary algebra. Subjects include algebraic varieties; products, projections, and correspondences; normal varieties; differential forms; theory of simple points; algebraic groups; more. 1958 edition.

Algebraic Topology

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Author: C. R. F. Maunder

Publisher: Courier Corporation

ISBN: 9780486691312

Category: Mathematics

Page: 375

View: 2862

Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated, and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. Author C.R.F. Maunder provides examples and exercises; and notes and references at the end of each chapter trace the historical development of the subject.

Geometric Algebra

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Author: Emil Artin

Publisher: Courier Dover Publications

ISBN: 0486801551

Category: Mathematics

Page: 224

View: 4883

Originally published: New York: Interscience Publishers, Inc., 1957.

Liebe und Mathematik

Im Herzen einer verborgenen Wirklichkeit

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Author: Edward Frenkel

Publisher: Springer-Verlag

ISBN: 3662434210

Category: Mathematics

Page: 317

View: 1200

Linear Algebra and Geometry

A Second Course

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Author: Irving Kaplansky

Publisher: Courier Corporation

ISBN: 9780486432335

Category: Mathematics

Page: 143

View: 5435

The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition.

Linear Algebra and Projective Geometry

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Author: Reinhold Baer

Publisher: Courier Corporation

ISBN: 0486154661

Category: Mathematics

Page: 336

View: 7208

Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.

Lectures on Linear Algebra

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Author: I. M. Gelfand

Publisher: Courier Corporation

ISBN: 9780486660820

Category: Mathematics

Page: 185

View: 8277

Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.

Challenging Problems in Geometry

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Author: Alfred S. Posamentier,Charles T. Salkind

Publisher: Courier Corporation

ISBN: 0486134865

Category: Mathematics

Page: 256

View: 8495

Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.

Lehr- und Wanderjahre eines Mathematikers

Aus dem Französischen von Theresia Übelhör

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Author: André Weil

Publisher: Springer-Verlag

ISBN: 3034850476

Category: Science

Page: 212

View: 9680

Mein Leben, oder zumindest das, was diesen Namen verdient -ein außer gewöhnlich glückliches Leben mit einigen Schicksalsschlägen -erstreckte sich auf die Zeit zwischen dem 6. Mai 1906, dem Tag meiner Geburt, und dem 24. Mai 1986, dem Todestag meiner Frau und Gefährtin Eveline. Wenn auf diesen Seiten, die ihr gewidmet sind, von meiner Frau recht wenig die Rede sein wird, heißt das nicht, daß sie in meinem Leben und in meinen Gedanken einen geringen Platz eingenommen hätte. Sie war im Gegenteil, beinahe vom Tag unserer ersten Begegnung an, so eng damit verwoben, daß von mir oder von ihr zu sprechen ein und dasselbe ist. Ihre Anwesenheit beziehungsweise ihre Abwesenheit bestimmte die Textur meines ganzen Lebens. Was könnte ich anderes dazu sagen, als daß unsere Ehe eine von jenen war, die La Rochefoucauld Lügen strafen? »Fulsere vere candidi mihi soles . . . . « Ebenso wird meine Schwester kaum erwähnt werden. Es ist schon lange her, daß ich meine Erinnerungen an sie Simone Petrement mitgeteilt habe, die sie in ihre gute Biographie La vie de Simone Weil einfließen ließ, wo man viele Einzelheiten über unsere gemeinsame Kindheit erfahren kann, und es wäre unnötig, dies hier zu wiederholen. Als Kinder waren wir unzertrennlich, aber ich war der große Bruder und sie die kleine Schwester. Später waren wir selten zusammen, und meist sprachen wir in scherzhaftem Ton miteinander, denn sie hatte ein fröhliches und humorvolles Naturell, wie alle, die sie kannten, bestätigt haben.

Geometry: A Comprehensive Course

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Author: Dan Pedoe

Publisher: Courier Corporation

ISBN: 0486131734

Category: Mathematics

Page: 464

View: 5158

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

A Combinatorial Introduction to Topology

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Author: Michael Henle

Publisher: Courier Corporation

ISBN: 9780486679662

Category: Mathematics

Page: 310

View: 7069

Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

Monographs on Topics of Modern Mathematics

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Author: J. W. A. Young

Publisher: Courier Corporation

ISBN: 9780486438160

Category: Mathematics

Page: 416

View: 4175

“Of high merit”—Scientific American This stimulating approach to several branches of modern mathematics is geared to those with no background beyond elementary algebra and geometry. Its nine essays by leading mathematicians—including Oswald Veblen, Gilbert Ames Bliss, L. E. Dickson, and David Eugene Smith—cover the foundations of geometry, modern pure geometry and non-Euclidean geometry, fundamental propositions of algebra, algebraic equations, functions, fundamentals of calculus, and number theory. Each essay provides wide coverage, with proofs of important results and descriptions of leading methods. 1911 ed.

Differential Geometry

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Author: Erwin Kreyszig

Publisher: Courier Corporation

ISBN: 9780486667218

Category: Mathematics

Page: 352

View: 1679

Text from preface: "This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space"

Emerging Applications of Algebraic Geometry

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Author: Mihai Putinar,Seth Sullivant

Publisher: Springer Science & Business Media

ISBN: 0387096868

Category: Mathematics

Page: 376

View: 613

Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.

Challenging Problems in Algebra

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Author: Alfred S. Posamentier,Charles T. Salkind

Publisher: Courier Corporation

ISBN: 0486131548

Category: Mathematics

Page: 288

View: 8624

Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.