Problems in Analytic Geometry

Problems in Analytic Geometry PDF Author: D Kletenik
Publisher: The Minerva Group, Inc.
ISBN: 0898757142
Category : Geometry, Analytic
Languages : en
Pages : 300

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

Problems in Analytic Geometry

Problems in Analytic Geometry PDF Author: D Kletenik
Publisher: The Minerva Group, Inc.
ISBN: 0898757142
Category : Geometry, Analytic
Languages : en
Pages : 300

Get Book Here

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

Problems In Analytic Geometry

Problems In Analytic Geometry PDF Author: D. Kletenik
Publisher:
ISBN: 9789388127486
Category : Study Aids
Languages : en
Pages : 0

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Book Description
ABOUT THE BOOK The "Classic Text Series" is a collection of books written by the most famous mathematicians of their time and has been proven over the years as the most preferred concept-building tool to learn mathematics. Arihant's imprints of these books are a way of presenting these timeless classics. Compiled by D. KLETENIK, the book "Problems in Analytic Geometry" has been updated and deals with the modern treatment of complex concepts of Geometry. Formulated as per the latest syllabus, this complete preparatory guide is accumulated with Problems, Solutions with hints, and a good collection of examples to enhance problem-solving skills. The unique features accumulated in this book are: 1. Complete coverage of syllabus in 2 major parts 2. Explain various concepts of Analytic Geometry in a lucid manner 3. Each chapter has unique problems to enhance fundamental knowledge of Geometry 4. Answers and Hints are provided in a great detailed manner 5. Enormous Examples for an in-depth understanding of topics 6. Works as an elementary textbook to build concepts TABLE OF CONTENT: Part One - Plane Analytic Geometry: Elementary Problems of Plane Analytic Geometry, The Equation of a curve, Curves of The First Order, Geometric Properties of Curves of the Second Order, Simplification of the General Equation of a Curve of the Second Order. The Equation of Some Curves Encountered in Mathematics and its Applications Part Two - Solid Analytic Geometry: Some Elementary Problems of Solid Analytics Geometry, Vector Algebra, The Equation of a Surface and The Equation of a curve, The Equation of a Plane. The Equation of a straight Line. The Equation Quadric Surfaces, Appendix: The elementary of the theory of Determinants, Answers and Hints Part One and Part Two.

Problems in Analytic Geometry

Problems in Analytic Geometry PDF Author: D. Kletenik
Publisher:
ISBN: 9789324191755
Category : Study Aids
Languages : en
Pages : 272

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Book Description


A Collection of Problems in Analytical Geometry

A Collection of Problems in Analytical Geometry PDF Author: D. V. Kletenik
Publisher: Elsevier
ISBN: 1483155927
Category : Mathematics
Languages : en
Pages : 148

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Book Description
A Collection of Problems in Analytical Geometry, Part II: Three-Dimensional Analytical Geometry is a collection of problems dealing with analytical geometry in the field of theoretical mechanics. The book discusses rectangular Cartesian coordinates in three-dimensional space and the division of an interval in a given ratio. The sample questions concern problems dealing with isosceles triangles, vertices, and center of gravity of equal masses. The book defines the concept of a vector and then lists problems concerning the triangle law and the scalar product of two vectors. Other problems focus on the equations of a surface and a curve and on questions related to the intersection of three surfaces. The text lists other problems such as the equation of a plane, the direction-vector of a straight line, and miscellaneous problems pertaining to the equations of a plane, of a straight line, and of a sphere in a direction-vector. The selection is useful for professors in analytical geometry and for other courses in physic-mathematics and general engineering.

Problems in Analytic Geometry

Problems in Analytic Geometry PDF Author: D. Kletenik
Publisher:
ISBN:
Category :
Languages : en
Pages : 298

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Book Description


A Collection of Problems in Analytical Geometry

A Collection of Problems in Analytical Geometry PDF Author: David. V. Kletenik
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 186

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Book Description


Exploring Analytic Geometry with Mathematica

Exploring Analytic Geometry with Mathematica PDF Author: Donald L. Vossler
Publisher: Academic Press
ISBN: 9780127282558
Category : Computers
Languages : en
Pages : 865

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Book Description
The study of two-dimensional analytic geometry has gone in and out of fashion several times over the past century, however this classic field of mathematics has once again become popular due to the growing power of personal computers and the availability of powerful mathematical software systems, such as Mathematica, that can provide an interactive environment for studying the field. By combining the power of Mathematica with an analytic geometry software system called Descarta2D, the author has succeeded in meshing an ancient field of study with modern computational tools, the result being a simple, yet powerful, approach to studying analytic geometry. Students, engineers and mathematicians alike who are interested in analytic geometry can use this book and software for the study, research or just plain enjoyment of analytic geometry. Mathematica provides an attractive environment for studying analytic geometry. Mathematica supports both numeric and symbolic computations meaning that geometry problems can be solved for special cases using numbers, as well as general cases producing formulas. Mathematica also has good facilities for producing graphical plots which are useful for visualizing the graphs of two-dimensional geometry. * A classic study in analytic geometry, complete with in-line Mathematica dialogs illustrating every concept as it is introduced * Excellent theoretical presentation *Fully explained examples of all key concepts * Interactive Mathematica notebooks for the entire book * Provides a complete computer-based environment for study of analytic geometry * All chapters and reference material are provided on CD-ROM in addition to being printedin the book * Complete software system: Descarta2D * A software system, including source code, for the underlying computer implementation, called Descarta2D is provided * Part VII of the book is a listing of the (30) Mathematica files supporting Descarta2D; the source code is also supplied on CD-ROM * Explorations * More than 120 challenging problems in analytic geometry are posed; Complete solutions are provided both as interactive Mathematica notebooks on CD-ROM and as printed material in the book * Mathematica and Descarta2D Hints expand the reader's knowledge and understanding of Descarta2D and Mathematica * Sortware developed with Mathematica 3.0 and is compatible with Mathematica 4.0 * Detailed reference manual * Complete documentation for Descarta2D * Fully integrated into the Mathematica Help Browser

Problems in Analytic Geometry

Problems in Analytic Geometry PDF Author: David Viktorovich Kletenik
Publisher:
ISBN:
Category :
Languages : en
Pages : 298

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Book Description


Analytic Geometry

Analytic Geometry PDF Author: Douglas F. Riddle
Publisher: Arden Shakespeare
ISBN:
Category : Mathematics
Languages : en
Pages : 434

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Book Description
This respected text makes extensive use of applications and features items such as historical vignettes to make the material useful and interesting. The text is written for the one-term analytic geometry course, often taught in sequence with college algebra, and is designed for students with a reasonably sound background in algebra, geometry, and trigonometry.

A Collection of Problems in Analytical Geometry

A Collection of Problems in Analytical Geometry PDF Author: D. V. Kletenik
Publisher: Elsevier
ISBN: 1483155846
Category : Mathematics
Languages : en
Pages : 197

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Book Description
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.