Geometric Algebra

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Author: Emil Artin

Publisher: Courier Dover Publications

ISBN: 0486801551

Category: Mathematics

Page: 224

View: 3956

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

Rudiments of Algebraic Geometry

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Author: W.E. Jenner

Publisher: Courier Dover Publications

ISBN: 0486818063

Category: Mathematics

Page: 112

View: 5390

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: 2825

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.

Linear Algebra and Geometry

A Second Course

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Author: Irving Kaplansky

Publisher: Courier Corporation

ISBN: 9780486432335

Category: Mathematics

Page: 143

View: 9617

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.

Elementary Algebraic Geometry

Second Edition

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Author: Keith Kendig

Publisher: Courier Dover Publications

ISBN: 048680187X

Category: Mathematics

Page: 320

View: 6545

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.

Linear Algebra and Projective Geometry

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Author: Reinhold Baer

Publisher: Courier Corporation

ISBN: 0486154661

Category: Mathematics

Page: 336

View: 8708

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: 3621

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.

Introduction to Algebraic Geometry

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Author: Serge Lang

Publisher: Courier Dover Publications

ISBN: 048683980X

Category: Mathematics

Page: 272

View: 7041

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.

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: 1851

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.

Algebraic Topology

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Author: C. R. F. Maunder

Publisher: Courier Corporation

ISBN: 9780486691312

Category: Mathematics

Page: 375

View: 4245

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.

Thinking in Problems

How Mathematicians Find Creative Solutions

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Author: Alexander A. Roytvarf

Publisher: Springer Science & Business Media

ISBN: 0817684069

Category: Mathematics

Page: 405

View: 5324

This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader’s technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader’s convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology. Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis.

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: 5493

“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.

A Vector Space Approach to Geometry

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Author: Melvin Hausner

Publisher: Courier Dover Publications

ISBN: 0486835391

Category: Mathematics

Page: 416

View: 1281

A fascinating exploration of the correlation between geometry and linear algebra, this text also offers elementary explanations of the role of geometry in other branches of math and science. 1965 edition.

A New Look at Geometry

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Author: Irving Adler

Publisher: Courier Corporation

ISBN: 0486320499

Category: Mathematics

Page: 416

View: 2357

Richly detailed survey of the evolution of geometrical ideas and development of concepts of modern geometry: projective, Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers. 1966 edition.

History of Mathematics

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Author: David E. Smith

Publisher: Courier Corporation

ISBN: 9780486204307

Category: Mathematics

Page: 736

View: 2021

Within this two-volume edition, Professor Smith covers the entire history of mathematics in the Near and Far East and the West, from primitive number concepts to the calculus. His account is distinguished by impeccable scholarship combined with unusual clarity and readability. Footnotes add many technical points outside the book's actual line of development and direct the reader to disputed matters and source readings. Hundreds of illustrations from Egyptian papyri, Hindu, Chinese, and Japanese manuscripts, Greek and Roman texts, Medieval treatises, maps, portraits, etc. are used along with modern graphs and diagrams. Every major figure from Euclid to Descartes, Gauss, and Riemann and hundreds of lesser-known figures — Theon of Smyrna, Rabbi ben Ezra, Radulph of Laon, Mersenns, Benedetti, and more — are considered both with respect to specific problems and with an awareness of their overall influence on mathematics. Volume II: Special Topics, considering mathematics in terms of arithmetic geometry, algebra, trig, calculus, calculating machines, and other specific fields and problems. 192 Topics for Discussion. 195 illustrations. Index.

Foundations and Fundamental Concepts of Mathematics

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Author: Howard Eves

Publisher: Courier Corporation

ISBN: 048613220X

Category: Mathematics

Page: 368

View: 2828

Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.

The Skeleton Key of Mathematics

A Simple Account of Complex Algebraic Theories

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Author: D. E. Littlewood

Publisher: Courier Corporation

ISBN: 0486154416

Category: Mathematics

Page: 144

View: 1051

Straightforward explanation of abstract principles common to science and math, including Euclid's algorithm; congruences; polynomials; complex numbers and algebraic fields; algebraic integers, ideals, and p-adic numbers; groups; Galois theory; algebraic geometry; more.

A Combinatorial Introduction to Topology

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Author: Michael Henle

Publisher: Courier Corporation

ISBN: 9780486679662

Category: Mathematics

Page: 310

View: 692

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.