Analytic Geometry of Space by V. Snyder, T.P. Hill - PDF
About this book :-
This text introduces students to three-dimensional geometry using algebra and calculus. The book starts with basics like rectangular coordinates and moves on to more advanced topics such as transformations and partial differentiation. It has helped many students understand the math of 3D shapes and remains a valuable resource for learning analytic geometry.
The first eight chapters include the subjects usually treated in rectangular coordinates. They presuppose as much knowledge of algebra, geometry, and trigonometry as in the major requirement of the College Entrance Examination Board, and as much plane analytic geometry as is contained in the better elementary textbooks.
In Chapter IX tetrahedral coordinates are introduced by means of linear transformations, under which various invariant properties are established. These coordinates are used throughout the next three chapters. The notation is so chosen that no ambiguity can arise between tetrahedral and rectangular systems. The selection of subject matter is such as to be of greatest service for further study of algebraic geometry. In Chapter XIII a more advanced knowledge of plane analytic geometry is presupposed, but the part involving Plticker s numbers may be omitted without disturbing the continuity of the subject. In the last chapter extensive use is made of the calculus, including the use of partial differentiation and of the element of arc.
Book Detail :-
Title:
Analytic Geometry of Space by V. Snyder, T.P. Hill - PDF
Publisher:
H. Holt and Company
Year:
1914
Pages:
318
Type:
PDF
Language:
English
ISBN-10 #:
B01DRQ4IMO
ISBN-13 #:
N\A
License:
Public Domain Work
Amazon:
Amazon
About Author :-
The author
Virgil Snyder
was an American mathematician who taught at Cornell University, known for his important contributions to algebraic geometry. He studied math in Germany and later became president of the American Mathematical Society. Snyder worked closely with Charles H. Sisam, his colleague at Cornell, and together they wrote Analytic Geometry of Space. Their joint work has helped many students learn about 3D geometry.
Book Contents :-
1. COORDINATES
2. PLANES AND LINES
3. TRANSFORMATION OF COORDINATES
4. TYPES OF SURFACES
5. THE SPHERE
6. FORMS OF QUADRIC SURFACES
7. CLASSIFICATION OF QUADRIC SURFACES
8. SOME PROPERTIES OF QUADRIC SURFACES
9. TETRAHEDRAL COORDINATES ARTICLE
10. QUADRIC SURFACES IN TETRAHEDRAL COORDINATES
11. LINEAR SYSTEMS OF QUADRICSK
12. TRANSFORMATIONS OF SPACE
13. CURVES AND SURFACES IN TETRAHEDRAL COORDINATES
14. DIFFERENTIAL GEOMETRY
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