Differential Geometry of Three Dimensions PDF Download
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Author: C. E. Weatherburn
Publisher: Cambridge University Press
ISBN: 1316606953
Category : Mathematics
Languages : en
Pages : 253
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Book Description
Originally published in 1930, as the second of a two-part set, this textbook contains a vectorial treatment of geometry.
Author: C. E. Weatherburn
Publisher: Cambridge University Press
ISBN: 1316606953
Category : Mathematics
Languages : en
Pages : 253
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Book Description
Originally published in 1930, as the second of a two-part set, this textbook contains a vectorial treatment of geometry.
Author: Charles E. Weatherburn
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 292
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Book Description
Author: D. M. Y. Sommerville
Publisher: Cambridge University Press
ISBN: 1316601900
Category : Mathematics
Languages : en
Pages : 435
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Book Description
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.
Author: Charles Ernest Weatherburn
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 292
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Book Description
Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 0486157202
Category : Mathematics
Languages : en
Pages : 404
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Book Description
This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.
Author: William H. McCrea
Publisher: Courier Corporation
ISBN: 0486154882
Category : Mathematics
Languages : en
Pages : 156
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Book Description
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.
Author: Erwin Kreyszig
Publisher: Courier Corporation
ISBN: 0486318621
Category : Mathematics
Languages : en
Pages : 384
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Book Description
An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.
Author: Jeffrey Marc Lee
Publisher: American Mathematical Soc.
ISBN: 0821848151
Category : Mathematics
Languages : en
Pages : 690
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Book Description
Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry. It includes the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, and de Rham cohomology.
Author: Keith Burns
Publisher: CRC Press
ISBN: 9781584882534
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow. Smooth manifolds, Riemannian metrics, affine connections, the curvature tensor, differential forms, and integration on manifolds provide the foundation for many applications in dynamical systems and mechanics. The authors also discuss the Gauss-Bonnet theorem and its implications in non-Euclidean geometry models. The differential topology aspect of the book centers on classical, transversality theory, Sard's theorem, intersection theory, and fixed-point theorems. The construction of the de Rham cohomology builds further arguments for the strong connection between the differential structure and the topological structure. It also furnishes some of the tools necessary for a complete understanding of the Morse theory. These discussions are followed by an introduction to the theory of hyperbolic systems, with emphasis on the quintessential role of the geodesic flow. The integration of geometric theory, topological theory, and concrete applications to dynamical systems set this book apart. With clean, clear prose and effective examples, the authors' intuitive approach creates a treatment that is comprehensible to relative beginners, yet rigorous enough for those with more background and experience in the field.
Author: Gerard Walschap
Publisher: Springer Science & Business Media
ISBN: 0387218262
Category : Mathematics
Languages : en
Pages : 235
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Book Description
This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.
