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Elementary Algebraic Geometry

Second Edition

Author: Keith Kendig

Publisher: Courier Dover Publications

ISBN:

Category: Mathematics

Page: 320

View: 545

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.

Differential Geometry of Curves and Surfaces

Revised and Updated Second Edition

Author: Manfredo P. do Carmo

Publisher: Courier Dover Publications

ISBN:

Category: Mathematics

Page: 512

View: 650

One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems. The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.

Elementary Point-Set Topology

A Transition to Advanced Mathematics

Author: Andre L. Yandl

Publisher: Courier Dover Publications

ISBN:

Category: Mathematics

Page: 256

View: 843

This versatile, original approach, which focuses on learning to read and write proofs, serves as both an introductory treatment and a bridge between elementary calculus and more advanced courses. 2016 edition.

Algebraic Geometry

Author: Solomon Lefschetz

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 256

View: 641

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.

The Theory and Practice of Conformal Geometry

Author: Steven G. Krantz

Publisher: Courier Dover Publications

ISBN:

Category: Mathematics

Page: 304

View: 365

In this original text, prolific mathematics author Steven G. Krantz addresses conformal geometry, a subject that has occupied him for four decades and for which he helped to develop some of the modern theory. This book takes readers with a basic grounding in complex variable theory to the forefront of some of the current approaches to the topic. "Along the way," the author notes in his Preface, "the reader will be exposed to some beautiful function theory and also some of the rudiments of geometry and analysis that make this subject so vibrant and lively." More up-to-date and accessible to advanced undergraduates than most of the other books available in this specific field, the treatment discusses the history of this active and popular branch of mathematics as well as recent developments. Topics include the Riemann mapping theorem, invariant metrics, normal families, automorphism groups, the Schwarz lemma, harmonic measure, extremal length, analytic capacity, and invariant geometry. A helpful Bibliography and Index complete the text.

A Book of Abstract Algebra

Second Edition

Author: Charles C Pinter

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 400

View: 645

Accessible but rigorous, this outstanding text encompasses all of elementary abstract algebra's standard topics. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. 1990 edition.

Elementary Number Theory

Second Edition

Author: Underwood Dudley

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 272

View: 722

Written in a lively, engaging style by the author of popular mathematics books, this volume features nearly 1,000 imaginative exercises and problems. Some solutions included. 1978 edition.

Introduction to Topology

Second Edition

Author: Theodore W. Gamelin

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 256

View: 863

This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.

Introduction to Modern Algebra and Matrix Theory

Second Edition

Author: O. Schreier

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 400

View: 430

This unique text provides students with a basic course in both calculus and analytic geometry — no competitive editions cover both topics in a single volume. Its prerequisites are minimal, and the order of its presentation promotes an intuitive approach to calculus. Algebraic concepts receive an unusually strong emphasis. Numerous exercises appear throughout the text. 1951 edition.

Matrices and Linear Algebra

Author: Hans Schneider

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 432

View: 103

Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

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