A Collection Of Problems In Analytical Geometry
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Problems In Analytic Geometry
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Author : D. Kletenik
language : en
Publisher:
Release Date : 2019-02-11
Problems In Analytic Geometry written by D. Kletenik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-11 with Study Aids categories.
A Collection Of Problems In Analytical Geometry
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Author : D. V. Kletenik
language : en
Publisher: Elsevier
Release Date : 2016-06-06
A Collection Of Problems In Analytical Geometry written by D. V. Kletenik and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
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.
A Collection Of Problems In Analytical Geometry
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Author : D. V. Kletenik
language : en
Publisher: Elsevier
Release Date : 2016-06-06
A Collection Of Problems In Analytical Geometry written by D. V. Kletenik and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
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.
A Collection Of Problems In Analytical Geometry
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Author : D. V. Kletenik
language : en
Publisher:
Release Date : 1966
A Collection Of Problems In Analytical Geometry written by D. V. Kletenik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Geometry, Analytic categories.
A Collection Of Problems In Analytical Geometry
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Author : David Viktorovich Kléténik
language : en
Publisher:
Release Date : 1966
A Collection Of Problems In Analytical Geometry written by David Viktorovich Kléténik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Geometry, Analytic categories.
A Collection Of Problems In Analytical Geometry
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Author : David. V. Kletenik
language : en
Publisher:
Release Date : 1966
A Collection Of Problems In Analytical Geometry written by David. V. Kletenik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Geometry, Analytic categories.
Linear Algebra And Analytic Geometry For Physical Sciences
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Author : Giovanni Landi
language : en
Publisher: Springer
Release Date : 2018-05-12
Linear Algebra And Analytic Geometry For Physical Sciences written by Giovanni Landi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-12 with Science categories.
A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises.Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac’s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number.The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification.
Analytical Geometry
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Author : Izu Vaisman
language : en
Publisher: World Scientific
Release Date : 1997
Analytical Geometry written by Izu Vaisman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
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.
Exploring Analytic Geometry With Mathematica
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Author : Donald L. Vossler
language : en
Publisher: Academic Press
Release Date : 2000
Exploring Analytic Geometry With Mathematica written by Donald L. Vossler and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
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
A Collection Of Problems In Analytical Geometry
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Author : D. V. Kletenik
language : en
Publisher:
Release Date : 1966
A Collection Of Problems In Analytical Geometry written by D. V. Kletenik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Geometry, Analytic categories.