Analytical Geometry

Two and Three Dimensions

Author: Dipak Chatterjee

Publisher: Alpha Science International, Limited

ISBN: 9781842654590

Category: Mathematics

Page: 286

View: 7331

"This book presents in an elegant way, the essentials of two and three dimensions of analytical geometry with plenty of examples to illustrate the basic ideas and to bequeath to the students numerous techniques of problem-solving. The exercises provide ample problems to supplement steady progress and to broaden the intuition of generalization. The overall approach is systematic, rigorous and least dependent on Euclidean propositions."--BOOK JACKET.

Analytical Geometry Of Two & Three Dimensions & Vector Analysis

Author: R.M.Khan

Publisher: New Central Book Agency

ISBN: 9788173810893

Category:

Page: 664

View: 7888

Matrix theory has been used to simplify the subject matter. Basic ideas of Vector Algebra and Analysis will be helpful to bridge the modern treatments of different branches.

Analytical Geometry Of Two & Three Dimensions

Author: A.N.Das

Publisher: New Central Book Agency

ISBN: 9788173815416

Category:

Page: 468

View: 8772

The book is meant to introduce all the basic topics of Analytical Coordinate Geometry of Two and Three Dimensions to the students of all leading universities.

Analytical Geometry of Three Dimensions

Author: William H. McCrea

Publisher: Courier Corporation

ISBN: 0486154882

Category: Mathematics

Page: 160

View: 8028

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.

Analytical Geometry of Three Dimensions

Author: D. M. Y. Sommerville

Publisher: Cambridge University Press

ISBN: 1316601900

Category: Mathematics

Page: 434

View: 4521

Originally published in 1934, this book starts at the subject's beginning, but also engages with profoundly more specialist concepts in the field of geometry.

Analytical Geometry: 2D and 3D

Author: P R Vittal

Publisher: Pearson Education India

ISBN: 9332517630

Category:

Page: 748

View: 4854

Designed to meet the requirements of undergraduate students, Analytical Geometry: 2D and 3D deals with the theoretical as well as the practical aspects of the subject. Equal emphasis has been given to both 2D as well as 3D geometry. The book follows a systematic approach with adequate examples for better understanding of the concepts.

A First Course in Analytic Geometry

Two and Three Dimensions Treated Simultaneously

Author: Henry Glenn Ayre,Rothwell Clifford Stephens

Publisher: N.A

ISBN: N.A

Category: Geometry, Analytic

Page: 224

View: 5308

A Collection of Problems in Analytical Geometry

Three-Dimensional Analytical Geometry

Author: D. V. Kletenik

Publisher: Elsevier

ISBN: 1483155927

Category: Mathematics

Page: 166

View: 9474

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 Textbook Of Analytical Geometry Of Three Dimensions

Author: P.K. Jain

Publisher: New Age International

ISBN: 9788122403008

Category: Geometry

Page: 376

View: 5963

The Book Is Intended To Serve As A Textbook For B.A. / B.Sc. Hons. And Pass Course Students Of Indian Universities And Abroad. It Is Also Meant For The Engineering Students And Other Professional Competitive Examinations Such As Ias, Ies, Pcs Etc.The Text Starts With The Introduction Of Coordinates Of A Point In A Space, Distance Formula, Projection, Direction Cosines, Locus And Followed By The Study Of The Plane, Straight Line, Sphere, Cone, Cylinder, Central Conicoids And Paraboloids. An Appendix Has Been Given On General Equation Of Second Degree. The Salient Features Of The Book Are: * Presentation Of The Subject In Natural Way * Description Of The Concepts With Justification * Grading Of Exercises * Exercises (Solved And Unsolved) After Each Section And Miscellaneous Set Of Exercises At The End Of Each Chapter. * Notes And Remarks At Proper Places

A Textbook Of Analytical Geometry Of Three Dimensions

Author: P.K. Jain

Publisher: New Age International

ISBN: 9788122403008

Category: Geometry

Page: 376

View: 1520

The Book Is Intended To Serve As A Textbook For B.A. / B.Sc. Hons. And Pass Course Students Of Indian Universities And Abroad. It Is Also Meant For The Engineering Students And Other Professional Competitive Examinations Such As Ias, Ies, Pcs Etc.The Text Starts With The Introduction Of Coordinates Of A Point In A Space, Distance Formula, Projection, Direction Cosines, Locus And Followed By The Study Of The Plane, Straight Line, Sphere, Cone, Cylinder, Central Conicoids And Paraboloids. An Appendix Has Been Given On General Equation Of Second Degree. The Salient Features Of The Book Are: * Presentation Of The Subject In Natural Way * Description Of The Concepts With Justification * Grading Of Exercises * Exercises (Solved And Unsolved) After Each Section And Miscellaneous Set Of Exercises At The End Of Each Chapter. * Notes And Remarks At Proper Places

Analytic Geometry

Author: A. C. Burdette

Publisher: Academic Press

ISBN: 1483262413

Category: Mathematics

Page: 240

View: 5613

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.

Analytical Geometry

Author: Izu Vaisman

Publisher: World Scientific

ISBN: 9789810231583

Category: Mathematics

Page: 284

View: 2494

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.

An Introduction to Analytic Geometry and Calculus

Author: A. C. Burdette

Publisher: Academic Press

ISBN: 1483265226

Category: Mathematics

Page: 448

View: 1511

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.

Linear Algebra and Analytic Geometry for Physical Sciences

Author: Giovanni Landi,Alessandro Zampini

Publisher: Springer

ISBN: 3319783610

Category: Science

Page: 345

View: 4324

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.

A Course in the Geometry of N Dimensions

Author: Maurice G. Kendall

Publisher: Courier Corporation

ISBN: 0486439275

Category: Mathematics

Page: 63

View: 5927

This text for undergraduate students provides a foundation for resolving proofs dependent on n-dimensional systems. The two-part treatment begins with simple figures in n dimensions and advances to examinations of the contents of hyperspheres, hyperellipsoids, hyperprisms, etc. The second part explores the mean in rectangular variation, the correlation coefficient in bivariate normal variation, Wishart's distribution, more. 1961 edition.