History of Analytic Geometry

Author: Carl B. Boyer

Publisher: Courier Corporation

ISBN: 0486154513

Category: Mathematics

Page: 304

View: 9409

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This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.

Problems in Analytic Geometry

Author: D. Kletenik,N. Vefimov,O. Soroka

Publisher: The Minerva Group, Inc.

ISBN: 0898757142

Category: Mathematics

Page: 300

View: 3336

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A translation of a Soviet text covering plane analytic geometry and solid analytic geometry.

A Treatise on Analytic Geometry

Especially as Applied to the Properties of Conics; Including the Modern Methods of Abridged Notation

Author: George Holmes Howison,Joseph Ray

Publisher: N.A

ISBN: N.A

Category: Geometry, Analytic

Page: 574

View: 408

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Analytical Geometry

Author: Izu Vaisman

Publisher: World Scientific

ISBN: 9789810231583

Category: Mathematics

Page: 284

View: 9222

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This volume discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification of conics and quadrics, and geometric transformations. These subjects are important both for the mathematical grounding of the student and for applications to various other subjects. They may be studied in the first year or as a second course in geometry.The material is presented in a geometric way, and it aims to develop the geometric intuition and thinking of the student, as well as his ability to understand and give mathematical proofs. Linear algebra is not a prerequisite, and is kept to a bare minimum.The book includes a few methodological novelties, and a large number of exercises and problems with solutions. It also has an appendix about the use of the computer program MAPLEV in solving problems of analytical and projective geometry, with examples.

Analytical Geometry of Three Dimensions

Author: William H. McCrea

Publisher: Courier Corporation

ISBN: 0486154882

Category: Mathematics

Page: 160

View: 7028

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Geared toward advanced undergraduates and graduate students, this text covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations, quadric in Cartesian coordinates, and intersection of quadrics. 1947 edition.

Analytic Geometry

Author: A. C. Burdette

Publisher: Academic Press

ISBN: 1483262413

Category: Mathematics

Page: 240

View: 8809

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Analytic Geometry covers several fundamental aspects of analytic geometry needed for advanced subjects, including calculus. This book is composed of 12 chapters that review the principles, concepts, and analytic proofs of geometric theorems, families of lines, the normal equation of the line, and related matters. Other chapters highlight the application of graphing, foci, directrices, eccentricity, and conic-related topics. The remaining chapters deal with the concept polar and rectangular coordinates, surfaces and curves, and planes. This book will prove useful to undergraduate trigonometric students.

Solid Analytic Geometry

Author: Abraham Adrian Albert

Publisher: Courier Dover Publications

ISBN: 0486810267

Category: Mathematics

Page: 176

View: 1371

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The first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses or supplementary study. Chapters 1 and 2 contain a treatment of the equations of lines and planes. Subsequent chapters offer an exposition of classical elementary surface and curve theory, a treatment of spheres, and an examination of the classical descriptions of quadric surfaces in standard position. An exploration of the theory of matrices follows, with applications to the three-dimensional case of quadric surfaces. The text concludes with a survey of spherical coordinates and elements of projective geometry.

An Introduction to Analytic Geometry and Calculus

Author: A. C. Burdette

Publisher: Academic Press

ISBN: 1483265226

Category: Mathematics

Page: 448

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An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.

Algebraic and Analytic Geometry

Author: Amnon Neeman

Publisher: Cambridge University Press

ISBN: 0521709830

Category: Mathematics

Page: 420

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Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Analytic Geometry

Author: David Raymond Curtiss,Elton James Moulton

Publisher: N.A

ISBN: N.A

Category: Geometry, Analytic

Page: 356

View: 6544

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