Smooth S1 Manifolds
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Smooth S1 Manifolds
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Author : Wolf Iberkleid
language : en
Publisher: Springer
Release Date : 2006-11-15
Smooth S1 Manifolds written by Wolf Iberkleid and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Smooth S1 Manifolds
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Author : Wolf Iberkleid
language : en
Publisher:
Release Date : 2014-01-15
Smooth S1 Manifolds written by Wolf Iberkleid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Smooth S 1 Manifolds
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Author : Wolf Iberkleid
language : en
Publisher:
Release Date : 1976
Smooth S 1 Manifolds written by Wolf Iberkleid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Smooth Manifolds And Observables
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Author : Jet Nestruev
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06
Smooth Manifolds And Observables written by Jet Nestruev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Mathematics categories.
This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory.
Introduction To Smooth Manifolds
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Author : John Lee
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-27
Introduction To Smooth Manifolds written by John Lee and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-27 with Mathematics categories.
This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures. Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.
Introduction To Smooth Manifolds
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Author : John M. Lee
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Introduction To Smooth Manifolds written by John M. Lee and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why
Lectures In Geometry
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Author : Mikhail Mikhailovich Postnikov
language : en
Publisher:
Release Date : 1987
Lectures In Geometry written by Mikhail Mikhailovich Postnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Smooth Manifolds
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Author : Claudio Gorodski
language : en
Publisher: Springer Nature
Release Date : 2020-08-01
Smooth Manifolds written by Claudio Gorodski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-01 with Mathematics categories.
This concise and practical textbook presents the essence of the theory on smooth manifolds. A key concept in mathematics, smooth manifolds are ubiquitous: They appear as Riemannian manifolds in differential geometry; as space-times in general relativity; as phase spaces and energy levels in mechanics; as domains of definition of ODEs in dynamical systems; as Lie groups in algebra and geometry; and in many other areas. The book first presents the language of smooth manifolds, culminating with the Frobenius theorem, before discussing the language of tensors (which includes a presentation of the exterior derivative of differential forms). It then covers Lie groups and Lie algebras, briefly addressing homogeneous manifolds. Integration on manifolds, explanations of Stokes’ theorem and de Rham cohomology, and rudiments of differential topology complete this work. It also includes exercises throughout the text to help readers grasp the theory, as well as more advanced problems for challenge-oriented minds at the end of each chapter. Conceived for a one-semester course on Differentiable Manifolds and Lie Groups, which is offered by many graduate programs worldwide, it is a valuable resource for students and lecturers alike.
Introduction To Smooth Manifolds
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Author : John M. Lee
language : en
Publisher:
Release Date : 2000
Introduction To Smooth Manifolds written by John M. Lee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Smooth Manifolds
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Author : Rajnikant Sinha
language : en
Publisher: Springer
Release Date : 2014-11-15
Smooth Manifolds written by Rajnikant Sinha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-15 with Mathematics categories.
This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential manifolds, tangent spaces, multivariable differential calculus, topological properties of smooth manifolds, embedded submanifolds, Sard’s theorem and Whitney embedding theorem. It is clearly structured, amply illustrated and includes solved examples for all concepts discussed. Several difficult theorems have been broken into many lemmas and notes (equivalent to sub-lemmas) to enhance the readability of the book. Further, once a concept has been introduced, it reoccurs throughout the book to ensure comprehension. Rank theorem, a vital aspect of smooth manifolds theory, occurs in many manifestations, including rank theorem for Euclidean space and global rank theorem. Though primarily intended for graduate students of mathematics, the book will also prove useful for researchers. The prerequisites for this text have intentionally been kept to a minimum so that undergraduate students can also benefit from it. It is a cherished conviction that “mathematical proofs are the core of all mathematical joy,” a standpoint this book vividly reflects.
