1# Library to Find Best eBook for Read
Author : Udo Hertrich-Jeromin
Release : 2003-08-14
Genre : Mathematics
Kind : eBook
Book Rating : 694/5 ( reviews)
Book Synopsis Introduction to Möbius Differential Geometry by : Udo Hertrich-Jeromin
Download or read book Introduction to Möbius Differential Geometry written by Udo Hertrich-Jeromin. This book was released on 2003-08-14. 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.
Author : Wang Rong
Release : 1999-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 808/5 ( reviews)
Book Synopsis An Introduction To Differential Geometry And Topology In Mathematical Physics by : Wang Rong
Download or read book An Introduction To Differential Geometry And Topology In Mathematical Physics written by Wang Rong. This book was released on 1999-01-18. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an outline of the developments of differential geometry and topology in the twentieth century, especially those which will be closely related to new discoveries in theoretical physics.
Author : Joel W. Robbin
Release : 2022-01-12
Genre : Mathematics
Kind : eBook
Book Rating : 405/5 ( reviews)
Book Synopsis Introduction to Differential Geometry by : Joel W. Robbin
Download or read book Introduction to Differential Geometry written by Joel W. Robbin. This book was released on 2022-01-12. 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 : Michael Spivak
Release : 1979
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis A Comprehensive Introduction to Differential Geometry by : Michael Spivak
Download or read book A Comprehensive Introduction to Differential Geometry written by Michael Spivak. This book was released on 1979. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gal Gross
Release : 2023-04-25
Genre : Mathematics
Kind : eBook
Book Rating : 090/5 ( reviews)
Book Synopsis Manifolds, Vector Fields, and Differential Forms by : Gal Gross
Download or read book Manifolds, Vector Fields, and Differential Forms written by Gal Gross. This book was released on 2023-04-25. 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.
