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  Analytic Solid Geometry
 

Analytic Solid Geometry

by Chatterjee

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  Preface


1.

Vector Algebra

2.

Metric Properties in Space

3.

The Plane

4.

The Straight Line

5.

The Sphere

6.

Conicoids

7.

Metric Classification of Conicoids

Bibliography

Index



This text, primarily intended for undergraduate courses in mathematics, provides an excellent exposition of the fundamentals of solid geometry. The treatment is rigorous, systematic and exhaustive, covering all facets of the subject. Beginning with vector algebra as a prerequisite topic, the material presented includes the properties of the plane, the straight line, the sphere, and the conicoids. Conicoids, including cone and cylinder, have been dealt with together in a single chapter to drive home the underlying harmony existing between them. The simplicity of presentation differentiates this book from several others on the market. The vector approach used appeals to intuition easily and makes the treatment elegant and precise, helping students to gain a thorough knowledge of the mathematical principles of solid geometry.
A very attractive feature of the book is the numerous examples which demonstrate the powerful analytical techniques of this discipline. An exhaustive collection of exercises of graded levels of difficulty, designed to enhance understanding and develop a feel for the subject, enriches each chapter.ISBN 9788120319189
 


Pages : 336
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