Introduction To Differential Geometry For Engineers

Author : Brian F. Doolin
Publisher : Courier Corporation
ISBN 13 : 0486488160
Total Pages : 178 pages
Book Rating : 4.65/5 ( download)

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Download or read book Introduction to Differential Geometry for Engineers written by Brian F. Doolin and published by Courier Corporation. This book was released on 2012-01-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry. Suitable for independent study as well as a supplementary text for advanced undergraduate and graduate courses, this volume also constitutes a valuable reference for control, systems, aeronautical, electrical, and mechanical engineers. The treatment's ideas are applied mainly as an introduction to the Lie theory of differential equations and to examine the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, vector fields, exterior algebra, and Lie algebras. An appendix reviews concepts related to vector calculus, including open and closed sets, compactness, continuity, and derivative.

Author : Brian F. Doolin
Publisher : Courier Corporation
ISBN 13 : 0486281949
Total Pages : 178 pages
Book Rating : 4.40/5 ( download)

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Download or read book Introduction to Differential Geometry for Engineers written by Brian F. Doolin and published by Courier Corporation. This book was released on 2013-05-13 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry. Suitable for independent study as well as a supplementary text for advanced undergraduate and graduate courses, this volume also constitutes a valuable reference for control, systems, aeronautical, electrical, and mechanical engineers.The treatment's ideas are applied mainly as an introduction to the Lie theory of differential equations and to examine the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, vector fields, exterior algebra, and Lie algebras. An appendix reviews concepts related to vector calculus, including open and closed sets, compactness, continuity, and derivative.

Author : Erwin Kreyszig
Publisher : Courier Corporation
ISBN 13 : 0486318621
Total Pages : 384 pages
Book Rating : 4.22/5 ( download)

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Download or read book Differential Geometry written by Erwin Kreyszig and published by Courier Corporation. This book was released on 2013-04-26 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : William L. Burke
Publisher : Cambridge University Press
ISBN 13 : 9780521269292
Total Pages : 440 pages
Book Rating : 4.96/5 ( download)

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Download or read book Applied Differential Geometry written by William L. Burke and published by Cambridge University Press. This book was released on 1985-05-31 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.

Author : John Oprea
Publisher : MAA
ISBN 13 : 9780883857489
Total Pages : 508 pages
Book Rating : 4.80/5 ( download)

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Download or read book Differential Geometry and Its Applications written by John Oprea and published by MAA. This book was released on 2007-09-06 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the differential geometry of surfaces and its relevance to engineering and the sciences.

Author : Walter A. Poor
Publisher : Courier Corporation
ISBN 13 : 0486151913
Total Pages : 352 pages
Book Rating : 4.15/5 ( download)

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Download or read book Differential Geometric Structures written by Walter A. Poor and published by Courier Corporation. This book was released on 2015-04-27 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.

Author : Joel W. Robbin
Publisher : Springer Nature
ISBN 13 : 3662643405
Total Pages : 426 pages
Book Rating : 4.02/5 ( download)

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Download or read book Introduction to Differential Geometry written by Joel W. Robbin and published by Springer Nature. This book was released on 2022-01-12 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an intrinsic view point. The first chapters give a historical overview of the field and contain an introduction to basic concepts such as manifolds and smooth maps, vector fields and flows, and Lie groups, leading up to the theorem of Frobenius. Subsequent chapters deal with the Levi-Civita connection, geodesics, the Riemann curvature tensor, a proof of the Cartan-Ambrose-Hicks theorem, as well as applications to flat spaces, symmetric spaces, and constant curvature manifolds. Also included are sections about manifolds with nonpositive sectional curvature, the Ricci tensor, the scalar curvature, and the Weyl tensor. An additional chapter goes beyond the scope of a one semester lecture course and deals with subjects such as conjugate points and the Morse index, the injectivity radius, the group of isometries and the Myers-Steenrod theorem, and Donaldson's differential geometric approach to Lie algebra theory.

Author : Chris J. Isham
Publisher : Allied Publishers
ISBN 13 : 9788177643169
Total Pages : 308 pages
Book Rating : 4.69/5 ( download)

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Download or read book Modern Differential Geometry for Physicists written by Chris J. Isham and published by Allied Publishers. This book was released on 2002 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Shreeram Shankar Abhyankar
Publisher : American Mathematical Soc.
ISBN 13 : 0821815350
Total Pages : 295 pages
Book Rating : 4.59/5 ( download)

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Download or read book Algebraic Geometry for Scientists and Engineers written by Shreeram Shankar Abhyankar and published by American Mathematical Soc.. This book was released on 1990 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on lectures presented in courses on algebraic geometry taught by the author at Purdue University, is intended for engineers and scientists (especially computer scientists), as well as graduate students and advanced undergraduates in mathematics. In addition to providing a concrete or algorithmic approach to algebraic geometry, the author also attempts to motivate and explain its link to more modern algebraic geometry based on abstract algebra.The book covers various topics in the theory of algebraic curves and surfaces, such as rational and polynomial parametrization, functions and differentials on a curve, branches and valuations, and resolution of singularities. The emphasis is on presenting heuristic ideas and suggestive arguments rather than formal proofs. Readers will gain new insight into the subject of algebraic geometry in a way that should increase appreciation of modern treatments of the subject, as well as enhance its utility in applications in science and industry.

Author : Brian F. Doolin
Publisher :
ISBN 13 : 9780608089294
Total Pages : 183 pages
Book Rating : 4.9X/5 ( download)

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Download or read book Introduction to Differential Geometry for Engineers written by Brian F. Doolin and published by . This book was released on with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: