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.
Download or read book Introduction to Differential Geometry written by Luther Pfahler Eisenhart and published by Princeton University Press. This book was released on 2015-12-08 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book 3 in the Princeton Mathematical Series. Originally published in 1950. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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 424 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.
Download or read book Introduction to M bius Differential Geometry written by Udo Hertrich-Jeromin and published by Cambridge University Press. This book was released on 2003-08-14 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere.
Download or read book A Comprehensive Introduction to Differential Geometry written by Michael Spivak and published by . This book was released on 1970-01-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differential Geometry written by Marcelo Epstein and published by Springer. This book was released on 2014-07-02 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics. Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework. They are shown to be relevant to the description of space-time, configuration spaces of mechanical systems, symmetries in general, microstructure and local and distant symmetries of the constitutive response of continuous media. Once these ideas have been grasped at the topological level, the differential structure needed for the description of physical fields is introduced in terms of differentiable manifolds and principal frame bundles. These mathematical concepts are then illustrated with examples from continuum kinematics, Lagrangian and Hamiltonian mechanics, Cauchy fluxes and dislocation theory. This book will be useful for researchers and graduate students in science and engineering.
Download or read book An Introduction to Differential Geometry written by Thomas James Willmore and published by . This book was released on 1966 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applicable Differential Geometry written by M. Crampin and published by Cambridge University Press. This book was released on 1986 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to geometrical topics used in applied mathematics and theoretical physics.
Download or read book An Introduction to Differential Geometry written by T. J. Willmore and published by Courier Corporation. This book was released on 2013-05-13 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.
Download or read book Introduction to Differential Geometry for Engineers written by B. F. Doolin and published by . This book was released on 1990 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treats "the basic concepts and terminology of modern global differential geometry" for the benefit of engineers--particularly control engineers. And unlike many books (written by authors who seem anxious to vanish as soon as possible over the nearest abstract horizon) which pretend to be "useful", this one shows every sign of having been actually and extensively field-tested. The authors adhere to the absolute essentials of their topic, and have been at pains to write with exquisite clarity. Index and brief bibliography, but no exercises. (NW) Annotation(c) 2003 Book News, Inc., Portland, OR (booknews.com)
Download or read book Introduction to Differential Geometry with Applications to Navier Stokes Dynamics written by Troy L Story and published by iUniverse. This book was released on 2005 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Differential Geometry with applications to Navier-Stokes Dynamics is an invaluable manuscript for anyone who wants to understand and use exterior calculus and differential geometry, the modern approach to calculus and geometry. Author Troy Story makes use of over thirty years of research experience to provide a smooth transition from conventional calculus to exterior calculus and differential geometry, assuming only a knowledge of conventional calculus. Introduction to Differential Geometry with applications to Navier-Stokes Dynamics includes the topics: Geometry, Exterior calculus, Homology and co-homology, Applications of differential geometry and exterior calculus to: Hamiltonian mechanics, geometric optics, irreversible thermodynamics, black hole dynamics, electromagnetism, classical string fields, and Navier-Stokes dynamics.
Download or read book An Introduction to Differentiable Manifolds and Riemannian Geometry written by and published by Academic Press. This book was released on 1986-04-21 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Differentiable Manifolds and Riemannian Geometry
Download or read book Introduction to Differential Geometry written by Abraham Goetz and published by . This book was released on 1970 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Differential Geometry written by T. (Thomas) Willmore and published by . This book was released on 1959 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Differential Geometry written by Luther Pfahler Eisenhart and published by . This book was released on 2014-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Having introduced a generation of students to the serious mathematics of relativity theory and Riemannian geometry, this volume remains a valuable guide to today's advanced undergraduates and graduate students. Topics include curves in space, transformation of coordinates, tensor calculus, intrinsic geometry of a surface, and surfaces in space. 1947 edition.
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.
Download or read book Manifolds Vector Fields and Differential Forms written by Gal Gross and published by Springer Nature. This book was released on 2023-04-25 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students. It places special emphasis on motivation and understanding, while developing a solid intuition for the more abstract concepts. In contrast to graduate level references, the text relies on a minimal set of prerequisites: a solid grounding in linear algebra and multivariable calculus, and ideally a course on ordinary differential equations. Manifolds are introduced intrinsically in terms of coordinate patches glued by transition functions. The theory is presented as a natural continuation of multivariable calculus; the role of point-set topology is kept to a minimum. Questions sprinkled throughout the text engage students in active learning, and encourage classroom participation. Answers to these questions are provided at the end of the book, thus making it ideal for independent study. Material is further reinforced with homework problems ranging from straightforward to challenging. The book contains more material than can be covered in a single semester, and detailed suggestions for instructors are provided in the Preface.
