Solid Analytic Geometry (eBook)

Abraham Adrian Albert (Autor)

eBook Download: EPUB

2016 | First Edition, First
176 Seiten
Dover Publications (Verlag)
978-0-486-81468-1 (ISBN)

Infos

Concise text covers basics of solid analytic geometry and provides ample material for a one-semester course. Additional chapters on spherical coordinates and projective geometry suitable for longer courses or supplementary study. 1949 edition.

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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.

Autor

Abraham Adrian Albert (1905–72) taught at the University of Chicago for 40 years and was Chairman of the Mathematics Department from 1958–62. His other highly regarded texts include the Dover release An Introduction to Finite Projective Planes.

Inhalt

Preface1. Coordinates and Lines2. Planes3. Surfaces and Curves4. Spheres5. Quadric Surfaces6. Theory of Matrices7. Rotations of Axes and Applications8. Spherical Coordinates9. Elements of Projective GeometryIndex   

Produkt-Details

• Erscheint lt. Verlag: 19.7.2016
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 227 g
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: algebraic surfaces • analytic geometry • curve theory • cylinders • Definitions • determinants • ellipsoids • Equations • Euclidean Geometry • Exercises • Geometry • Higher Mathematics • hyperbolic cylinder • Hyperboloids • lines • mathematical studies • Mathematics • mathematics majors • matrices • matrix multiplication • matrix theory • Non-fiction • Orthogonal Matrices • orthogonal transformations • Paraboloids • Planes • planes in geometry • Projective Geometry • Quadric surfaces • solid analytic geometry • solid geometry • Spheres • Spherical coordinates • surfaces and curves • Theorems • theory of matrices • three-dimensional case of quadric surfaces, Analytic geometry • Trigonometry • Vectors
• ISBN-10: 0-486-81468-8 / 0486814688
• ISBN-13: 978-0-486-81468-1 / 9780486814681