Lafontaine riemannian geometry pdf. Aim of this book is to give a fairly complete treatment of the foundations of. Tangent vectors, cotangent vectors and tensors. The tangent bundle of a smooth manifold. Mr cheeks john p kelly rarrick. Curvature and Topology of Riemannian Manifolds. Editors: Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu (Eds.) Free Preview. Buy this book. Format: PDF; ebooks can be used on all reading devices; Immediate eBook. Author by: Takashi Sakai Language: en Publisher by: American Mathematical Soc. Format Available: PDF, ePub, Mobi Total Read: 86 Total Download: 554 File Size: 54,7 Mb Description: This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in 1992. The author's intent behind the original book was to provide to advanced undergraduate and graudate students an introduction to modern Riemannian geometry that could also serve as a reference. The book begins with an explanation of the fundamental notion of Riemannian geometry. Special emphasis is placed on understandability and readability, to guide students who are new to this area. ![]() The remaining chapters deal with various topics in Riemannian geometry, with the main focus on comparison methods and their applications. Author by: Peter Petersen Language: en Publisher by: Springer Science & Business Media Format Available: PDF, ePub, Mobi Total Read: 78 Total Download: 702 File Size: 45,9 Mb Description: Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialise in Riemannian geometry. Instead of variational techniques, the author uses a unique approach, emphasising distance functions and special co-ordinate systems. He also uses standard calculus with some techniques from differential equations to provide a more elementary route. Many chapters contain material typically found in specialised texts, never before published in a single source. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research - including sections on convergence and compactness of families of manifolds. Thus, this book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stokes theorem. Various exercises are scattered throughout the text, helping motivate readers to deepen their understanding of the subject. Author by: Wilhelm P.A. Klingenberg Language: en Publisher by: Walter de Gruyter Format Available: PDF, ePub, Mobi Total Read: 94 Total Download: 169 File Size: 51,9 Mb Description: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community.
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