Analytical Geometry

Two and Three Dimensions

Author: Dipak Chatterjee

Publisher: Alpha Science International, Limited

ISBN: 9781842654590

Category: Mathematics

Page: 286

View: 6693

"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

Author: A.N.Das

Publisher: New Central Book Agency

ISBN: 9788173815416

Category:

Page: 468

View: 917

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 Two & Three Dimensions & Vector Analysis

Author: R.M.Khan

Publisher: New Central Book Agency

ISBN: 9788173810893

Category:

Page: 664

View: 4035

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.

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: 2357

A Textbook Of Analytical Geometry Of Three Dimensions

Author: P.K. Jain

Publisher: New Age International

ISBN: 9788122403008

Category: Geometry

Page: 376

View: 5759

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 Collection of Problems in Analytical Geometry

Three-Dimensional Analytical Geometry

Author: D. V. Kletenik

Publisher: Elsevier

ISBN: 1483155927

Category: Mathematics

Page: 166

View: 2451

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.

Analytical Geometry

Author: Izu Vaisman

Publisher: World Scientific

ISBN: 9789810231583

Category: Mathematics

Page: 284

View: 2329

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.

Analytical Geometry of Three Dimensions

Author: D. M. Y. Sommerville

Publisher: Cambridge University Press

ISBN: 1316601900

Category: Mathematics

Page: 434

View: 3968

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.

Vektoranalysis

Author: Klaus Jänich

Publisher: Springer-Verlag

ISBN: 3662107503

Category: Mathematics

Page: 277

View: 1817

Die Vektoranalysis handelt, in klassischer Darstellung, von Vektorfeldern, den Operatoren Gradient, Divergenz und Rotation, von Linien-, Flächen- und Volumenintegralen und von den Integralsätzen von Gauß, Stokes und Green. In moderner Fassung ist es der Cartansche Kalkül mit dem Satz von Stokes. Das vorliegende Buch vertritt grundsätzlich die moderne Herangehensweise, geht aber auch sorgfältig auf die klassische Notation und Auffassung ein. Das Buch richtet sich an Mathematik- und Physikstudenten ab dem zweiten Studienjahr, die mit den Grundbegriffen der Differential- und Integralrechnung in einer und mehreren Variablen sowie der Topologie vertraut sind. Der sehr persönliche Stil des Autors und die aus anderen Büchern bereits bekannten Lernhilfen, wie: viele Figuren, mehr als 50 kommentierte Übungsaufgaben, über 100 Tests mit Antworten, machen auch diesen Text zum Selbststudium hervorragend geeignet.

Coordinate Geometry of Two Dimensions

Author: Hari Kishan

Publisher: Atlantic Publishers & Dist

ISBN: 9788126906048

Category: Coordinates

Page: 138

View: 7103

The Present Book Coordinate Geometry Of Two Dimensions Aims At Providing The Students With A Detailed Study Of Polar Coordinates, Polar Equations Of A Straight Line And A Circle, Polar Equations Of Conics, General Equation Of Second Degree And System Of Conics The Topics Included In The Ugc Syllabus.Primarily Meant For Students Of B.Sc./B.A. Of Several Indian Universities, The Book Exactly Covers The Prescribed Syllabus. It Neither Includes The Irrelevant Nor Escapes The Essential Topics. Its Approach Is Explanatory, Lucid And Comprehensive. The Analytic Explanation Of The Subject Matter Is Very Systematic Which Would Enable The Students To Assess And Thereby Solve The Related Problems Easily. Sufficient Number Of High-Graded Solved Examples Provided In The Book Facilitate Better Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, Practice Exercises Of Multiple Varieties Will Undoubtedly Prove Helpful In Quick Revision Of The Subject. The Figures And Also The Answers Provided In The Book Are Accurate And Verified Thoroughly.A Proper Study Of The Book Will Definitely Bring To Students A Brilliant Success. Even Teachers Will Find It Useful In Elucidating The Subject To The Students Of Mathematics.

Analytical Geometry: 2D and 3D

Author: P R Vittal

Publisher: Pearson Education India

ISBN: 9332517630

Category:

Page: 748

View: 9864

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.

Vectors and Their Applications

Author: Anthony J. Pettofrezzo

Publisher: Courier Corporation

ISBN: 0486148890

Category: Mathematics

Page: 144

View: 6882

Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of 2- and 3-dimensional space.

Solid Analytic Geometry

Author: Abraham Adrian Albert

Publisher: Courier Dover Publications

ISBN: 0486810267

Category: Mathematics

Page: 176

View: 1420

The first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses or supplementary study. Chapters 1 and 2 contain a treatment of the equations of lines and planes. Subsequent chapters offer an exposition of classical elementary surface and curve theory, a treatment of spheres, and an examination of the classical descriptions of quadric surfaces in standard position. An exploration of the theory of matrices follows, with applications to the three-dimensional case of quadric surfaces. The text concludes with a survey of spherical coordinates and elements of projective geometry.