Smooth S 1 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.

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

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 Characteristic classes categories.

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.

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.

Classical Aspherical Manifolds

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Author : F. Thomas Farrell
language : en
Publisher: American Mathematical Soc.
Release Date :

Classical Aspherical Manifolds written by F. Thomas Farrell and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

Aspherical manifolds - those whose universal covers are contractible - arise classically in many areas of mathematics. They occur in Lie group theory as certain double coset spaces and in synthetic geometry as the space forms preserving the geometry.

Smooth Manifolds And Observables

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Author : Jet Nestruev
language : en
Publisher: Springer Nature
Release Date : 2020-09-10

Smooth Manifolds And Observables written by Jet Nestruev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-10 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.

Structure And Geometry Of Lie Groups

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Author : Joachim Hilgert
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-06

Structure And Geometry Of Lie Groups written by Joachim Hilgert 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 2011-11-06 with Mathematics categories.

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.