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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.
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.
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.
Author: David. V. Kletenik
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 186
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Book Description
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.
Author: D. V. Kletenik
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: David Viktorovich Kletenik
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 160
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Book Description
Author: David Viktorovich Kléténik
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 186
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Book Description
Author: A. C. Burdette
Publisher: Academic Press
ISBN: 1483265226
Category : Mathematics
Languages : en
Pages : 425
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Book Description
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.
Author: Izu Vaisman
Publisher: World Scientific Publishing Company
ISBN: 9813102993
Category : Mathematics
Languages : en
Pages : 298
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Book Description
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.
Author: David Viktorovich Kletenik
Publisher:
ISBN:
Category :
Languages : en
Pages : 186
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Book Description
