Last edited by Brakinos
Wednesday, May 13, 2020 | History

17 edition of Smooth Manifolds and Observables found in the catalog.

Smooth Manifolds and Observables

by Jet Nestruev

  • 389 Want to read
  • 17 Currently reading

Published by Springer .
Written in English


The Physical Object
Number of Pages232
ID Numbers
Open LibraryOL7449002M
ISBN 100387955437
ISBN 109780387955438

Cite this chapter as: () Smooth Maps. In: Smooth Manifolds and Observables. Graduate Texts in Mathematics, vol Springer, New York, NY.   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 5/5(1).

Introduction To Smooth Manifolds. Welcome,you are looking at books for reading, the Introduction To Smooth Manifolds, you will able to read or download in Pdf or ePub books and notice some of author may have lock the live reading for some of ore it need a FREE signup process to obtain the book. If it available for your country it will shown as book reader and user fully subscribe. (And not just as a set or topological space, but with it's smooth structure). This had been answered in other questions on MO, unfortunately I don't remember where. Anyway a good reference is the book: Jet Nestruev, Smooth manifolds and observables, as well as the above mentioned book C-infinty differentiable spaces.

Chapter 1 Smooth Manifolds This book is about smooth manifolds. In the simplest terms, these are spaces that locally look like some Euclidean space Rn, and on which one can do calculus. The most familiar examples, aside from Euclidean spaces themselves, are smooth plane curves such as circles and parabolas, and smooth surfaces such as spheres File Size: KB. Cite this chapter as: () Spectra and Ghosts. In: Smooth Manifolds and Observables. Graduate Texts in Mathematics, vol Springer, New York, NY.


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Smooth Manifolds and Observables by Jet Nestruev Download PDF EPUB FB2

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 by: Smooth Manifolds and Observables is intended for advanced undergraduates, graduate students, and researchers in mathematics and physics.

This second edition adds ten new chapters to further develop the notion of differential calculus over commutative algebras, showing it to be a generalization of the differential calculus on smooth manifolds.

Smooth Manifolds and Observables. Usually dispatched within 3 to 5 business days. Usually dispatched within 3 to 5 business days. "Main themes of the book are manifolds, fibre bundles and differential operators acting on sections of vector bundles. Smooth Manifolds and Observables is about the differential calculus, smooth manifolds, and commutative algebra.

While these theories arose at different times and under completely different circumstances, this book demonstrates how they constitute a unified whole. The motivation behind this synthesis is the mathematical formalization of the process of observation in classical physics.

Smooth Manifolds and Observables. Authors; Jet Nestruev; Textbook. 4 Citations; 1 Mentions; Search within book. Front Matter. Pages Algebras and Points. Pages Smooth Manifolds (Algebraic Definition) Pages Charts and Atlases. Pages Smooth Maps. Pages Equivalence of Coordinate and Algebraic Definitions.

Smooth manifolds and observables. [Jet Nestruev] -- "Completely new approach to the subject. This book is a self-contained introduction to fiber spaces and differential operators on smooth manifolds that is accessible to graduate students specializing.

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 Smooth Manifolds and Observables book in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra.

The title of this book is not 'Differential Geometry,' but 'Introduction to Smooth Manifolds;' a title I think is very appropriate. In this book, you will learn all the essential tools of smooth manifolds but it stops short of embarking in a bona fide study of Differential Geometry; which is the study of manifolds plus some extra structure (be /5(19).

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 3/5(4). 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. Smooth manifolds and observables. [Jet Nestruev] -- "This unique textbook contains a large number of exercises and is intended for advanced undergraduates, graduate students, and research mathematicians and physicists."--BOOK JACKET.

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.

The classic approach to manifold theory is heavy on the (point-set) topology and analysis; this one is heavy on the algebra. In this book, the author shows that a manifold (in the traditional sense) is completely characterized by its ring of smooth functions.

The question then becomes: which rings can be constructed in this way?5/5. 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.

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 book is an introductory graduate-level textbook on the theory of smooth manifolds, for students who already have a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.

It is a natural sequel to my earlier book on topological manifolds [Lee00]. 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 Cited by: Smooth manifolds and observables.

[Jet Nestruev] -- This book is a self-contained introduction to fiber spaces and differential operators on smooth manifolds that is accessible to graduate students specializing in mathematics and physics. Jet Nestruev (a collective author, I think) does this in "Smooth Manifolds and Observables".

answered Feb 10 at AlexArvanitakis 5 5 silver badges 9 9 bronze badges. Smooth manifolds and observables. [Jet Nestruev] -- This title is a self-contained introduction to fiber spaces and differential operators on smooth manifolds that is accessible to graduate students specializing in mathematics and physics.

Cite this chapter as: () Smooth Manifolds (Algebraic Definition). In: Smooth Manifolds and Observables. Graduate Texts in Mathematics, vol Cite this chapter as: () Smooth Bundles. In: Smooth Manifolds and Observables. Graduate Texts in Mathematics, vol Springer, New York, NY.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 /10(40).