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Author : B. F. Doolin
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.F/5 ( download)
Download or read book Global Differential Geometry written by B. F. Doolin and published by . This book was released on 1982 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian F. Doolin
Publisher : Courier Corporation
ISBN 13 : 0486488160
Total Pages : 178 pages
Book Rating : 4.4/5 (864 download)
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 :
ISBN 13 : 9780608089294
Total Pages : 183 pages
Book Rating : 4.0/5 (892 download)
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:
Author : B. F. Doolin
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (317 download)
Download or read book Global Differential Geometry: An Introduction for Control Engineers written by B. F. Doolin and published by . This book was released on 1982 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.3/5 (243 download)
Download or read book NASA Reference Publication written by and published by . This book was released on 1982 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian F. Doolin
Publisher : Courier Corporation
ISBN 13 : 0486281949
Total Pages : 178 pages
Book Rating : 4.4/5 (862 download)
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 : Vladimir G Ivancevic
Publisher : World Scientific
ISBN 13 : 9814475645
Total Pages : 1346 pages
Book Rating : 4.8/5 (144 download)
Download or read book Applied Differential Geometry: A Modern Introduction written by Vladimir G Ivancevic and published by World Scientific. This book was released on 2007-05-21 with total page 1346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level monographic textbook treats applied differential geometry from a modern scientific perspective. Co-authored by the originator of the world's leading human motion simulator — “Human Biodynamics Engine”, a complex, 264-DOF bio-mechanical system, modeled by differential-geometric tools — this is the first book that combines modern differential geometry with a wide spectrum of applications, from modern mechanics and physics, via nonlinear control, to biology and human sciences. The book is designed for a two-semester course, which gives mathematicians a variety of applications for their theory and physicists, as well as other scientists and engineers, a strong theory underlying their models.
Author : Christian Bär
Publisher : Springer Science & Business Media
ISBN 13 : 3642228429
Total Pages : 520 pages
Book Rating : 4.6/5 (422 download)
Download or read book Global Differential Geometry written by Christian Bär and published by Springer Science & Business Media. This book was released on 2011-12-18 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.
Author : Francesco Bullo
Publisher : Springer
ISBN 13 : 1489972765
Total Pages : 727 pages
Book Rating : 4.4/5 (899 download)
Download or read book Geometric Control of Mechanical Systems written by Francesco Bullo and published by Springer. This book was released on 2019-06-12 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.
Author : Guillermo Segundo Ferreyra
Publisher : American Mathematical Soc.
ISBN 13 : 0821808877
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry and Control written by Guillermo Segundo Ferreyra and published by American Mathematical Soc.. This book was released on 1999 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains papers from a summer 1997 meeting on recent developments and important open problems in geometric control theory. Topics include linear control systems in Lie groups and controllability, real analytic geometry and local observability, singular extremals of order 3 and chattering, infinite time horizon stochastic control problems in hyperbolic three space, and Monge-Ampere equations. No index. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Andrei A. Agrachev
Publisher : Springer Science & Business Media
ISBN 13 : 3662064049
Total Pages : 415 pages
Book Rating : 4.6/5 (62 download)
Download or read book Control Theory from the Geometric Viewpoint written by Andrei A. Agrachev and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis. No preliminary knowledge of Control Theory or Differential Geometry is required. What this book is about? The classical deterministic physical world is described by smooth dynamical systems: the future in such a system is com pletely determined by the initial conditions. Moreover, the near future changes smoothly with the initial data. If we leave room for "free will" in this fatalistic world, then we come to control systems. We do so by allowing certain param eters of the dynamical system to change freely at every instant of time. That is what we routinely do in real life with our body, car, cooker, as well as with aircraft, technological processes etc. We try to control all these dynamical systems! Smooth dynamical systems are governed by differential equations. In this book we deal only with finite dimensional systems: they are governed by ordi nary differential equations on finite dimensional smooth manifolds. A control system for us is thus a family of ordinary differential equations. The family is parametrized by control parameters.
Author : Alberto Isidori
Publisher : Springer Science & Business Media
ISBN 13 : 9783540199168
Total Pages : 580 pages
Book Rating : 4.1/5 (991 download)
Download or read book Nonlinear Control Systems written by Alberto Isidori and published by Springer Science & Business Media. This book was released on 1995-08-11 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.
Author : T. J. Willmore
Publisher : Courier Corporation
ISBN 13 : 0486486184
Total Pages : 338 pages
Book Rating : 4.4/5 (864 download)
Download or read book An Introduction to Differential Geometry written by T. J. Willmore and published by Courier Corporation. This book was released on 2012-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A solid introduction to the methods of differential geometry and tensor calculus, this volume is suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering. Rather than a comprehensive account, it offers an introduction to the essential ideas and methods of differential geometry. Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces. An introduction to the differential geometry of surfaces in the large provides students with ideas and techniques involved in global research. Part 2 introduces the concept of a tensor, first in algebra, then in calculus. It covers the basic theory of the absolute calculus and the fundamentals of Riemannian geometry. Worked examples and exercises appear throughout the text.
Author : A Visconti
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103884
Total Pages : 433 pages
Book Rating : 4.8/5 (131 download)
Download or read book Introductory Differential Geometry For Physicists written by A Visconti and published by World Scientific Publishing Company. This book was released on 1992-10-09 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the mathematics of differential geometry in a way more intelligible to physicists and other scientists interested in this field. This book is basically divided into 3 levels; level 0, the nearest to intuition and geometrical experience, is a short summary of the theory of curves and surfaces; level 1 repeats, comments and develops upon the traditional methods of tensor algebra analysis and level 2 is an introduction to the language of modern differential geometry. A final chapter (chapter IV) is devoted to fibre bundles and their applications to physics. Exercises are provided to amplify the text material.
Author : Victor V. Prasolov
Publisher : Springer Nature
ISBN 13 : 3030922499
Total Pages : 278 pages
Book Rating : 4.0/5 (39 download)
Download or read book Differential Geometry written by Victor V. Prasolov and published by Springer Nature. This book was released on 2022-02-10 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces. The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups.
Author :
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.F/5 ( download)
Download or read book NASA Scientific and Technical Publications written by and published by . This book was released on 1987 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Svec
Publisher : Springer
ISBN 13 : 9027712956
Total Pages : 154 pages
Book Rating : 4.0/5 (277 download)
Download or read book Global Differential Geometry of Surfaces written by A. Svec and published by Springer. This book was released on 1982-02-28 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Writing this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry. I concentrate myself on the study of sur faces in the Euclidean 3-space, this being the most natural object for investigation. The global differential geometry of surfaces in E3 is based on two classical results: (i) the ovaloids (i.e., closed surfaces with positive Gauss curvature) with constant Gauss or mean curvature are the spheres, (ü) two isometrie ovaloids are congruent. The results presented here show vast generalizations of these facts. Up to now, there is only one book covering this area of research: the Lecture Notes [3] written in the tensor slang. In my book, I am using the machinary of E. Cartan's calculus. It should be equivalent to the tensor calculus; nevertheless, using it I get better results (but, honestly, sometimes it is too complicated). It may be said that almost all results are new and belong to myself (the exceptions being the introductory three chapters, the few classical results and results of my post graduate student Mr. M. ÄFWAT who proved Theorems V.3.1, V.3.3 and VIII.2.1-6).
