Problems in Analytic Geometry

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

Publisher: The Minerva Group, Inc.

ISBN: 0898757142

Category: Mathematics

Page: 300

View: 4353


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

History of Analytic Geometry

Author: Carl B. Boyer

Publisher: Courier Corporation

ISBN: 0486154513

Category: Mathematics

Page: 304

View: 4667


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.

Analytic Geometry

Author: A. C. Burdette

Publisher: Academic Press

ISBN: 1483262413

Category: Mathematics

Page: 240

View: 1322


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.

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


Category: Geometry, Analytic

Page: 574

View: 8271


Analytical Geometry

Author: Izu Vaisman

Publisher: World Scientific

ISBN: 9789810231583

Category: Mathematics

Page: 284

View: 3269


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.

Analytic geometry

Author: Alfred Lewis Nelson,Karl Wilmot Folley,William Martin Borgman

Publisher: N.A


Category: Mathematics

Page: 215

View: 7047


Solid Analytic Geometry

Author: Abraham Adrian Albert

Publisher: Courier Dover Publications

ISBN: 0486814688

Category: Mathematics

Page: 176

View: 6063


Concise text covers basics of solid analytic geometry and provides ample material for a one-semester course. Additional chapters on spherical coordinates and projective geometry suitable for longer courses or supplementary study. 1949 edition.

Modern Calculus and Analytic Geometry

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN: 0486793982

Category: Mathematics

Page: 1056

View: 460


A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory — many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.

A Collection of Problems in Analytical Geometry

Analytical Geometry in the Plane

Author: D. V. Kletenik

Publisher: Elsevier

ISBN: 1483155846

Category: Mathematics

Page: 196

View: 1508


A Collection of Problems in Analytical Geometry, Part I: Analytical Geometry in the Plane is a collection of problems dealing with higher analytical geometry. The book discusses elementary problems dealing with plane analytical geometry. The text presents topics on the axis and intervals on an axis and coordinates on a straight line. The book also defines what a rectangular Cartesian coordinates in a plane is, the division of an interval in a given ratio, and shows how to calculate the area of a triangle. The equation of a curve, the functions of two variables, and the concept of an equation of a curve are explained by the use of examples and problems. The author also addresses the geometrical properties of curves of the second order, the equations of a straight line, a circle, an ellipse, a hyperbola, and a parabola. The text then discusses the general theory of second-order curves and emphasizes the equations of the central curves of the second order. The author cites the simplification of these equations as being applicable to theoretical mechanics. This collection of problems can be used by teachers of analytical geometry and their students.