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A Visual Introduction to Differential Forms and Calculus on Manifolds de Jon Pierre Fortney
Descripción - Críticas “The reviewer recommends young mathematics and physics majors to open the book and to keep it on their bookshelves. Indeed, the reviewer even envies young students who can study differential forms with such a fascinating book.” (Hirokazu Nishimura, zbMath 1419.58001, 2019) Críticas Críticas Reseña del editor This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra. Contraportada This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra. Biografía del autor Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.
Detalles del Libro
- Name: A Visual Introduction to Differential Forms and Calculus on Manifolds
- Autor: Jon Pierre Fortney
- Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
- Tamaño del archivo: 16 MB
- Tipos de archivo: PDF Document
- Descargada: 264 times
- Idioma: Español
- Archivos de estado: AVAILABLE
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A Visual Introduction to Differential Forms and Calculus ~ A Visual Introduction to Differential Forms and Calculus on Manifolds / Fortney, J.P. / download / B–OK. Download books for free. Find books
A Visual Introduction to Differential Forms and Calculus ~ A Visual Introduction to Differential Forms and Calculus on Manifolds / Fortney, Jon Pierre / ISBN: 9783319969916 / Kostenloser Versand für alle Bücher mit Versand und Verkauf duch .
A Practical Introduction to Differential Forms Alexia E. Schulz ~ INTRODUCTION AND BASIC APPLICATIONS 1.1 INTRODUCTION These notes began life as an introduction to differential forms for a mathematical physics class and they still retain some of that flavor. Thus the material is introduced in a rather formal manner and the mathematical complexities are put off to later sections.
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Differentiable manifold - Wikipedia ~ In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.Any manifold can be described by a collection of charts, also known as an atlas.One may then apply ideas from calculus while working within the individual charts, since each chart lies within a linear space to which the usual .
Calculus On Manifolds: A Modern Approach To Classical ~ EDIT: I've since purchased Spivak's "A Comprehensive Introduction to Differential Geometry, vol. 1". Chapters 4 and 5 of "Calculus on Manifolds" are essentially contained in this book as well. However, they are explained in much fuller detail, and the book contains much more information regarding the subject.
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Manifolds and Differential Forms - Cornell University ~ Introduction 1 1.1. Manifolds 1 1.2. Equations 7 1.3. Parametrizations 9 1.4. Configuration spaces 10 Exercises 14 Chapter 2. Differential forms on Euclidean space 17 2.1. Elementary properties 17 2.2. The exterior derivative 20 2.3. Closed and exact forms 22 2.4. The Hodge star operator 24 2.5. div, grad and curl 25 Exercises 27 Chapter 3 .
A Visual Introduction to Differential Forms and Calculus ~ Differential forms, while not quite ubiquitous in mathematics, are certainly common. And the role differential forms play appears in a wide range of mathematical fields and applications. Differential forms, and their integration on manifolds, are
Calculus on Manifolds (book) - Wikipedia ~ Description. Calculus on Manifolds is a brief monograph on the theory of vector-valued functions of several real variables (f : R n →R m) and differentiable manifolds in Euclidean space. In addition to extending the concepts of differentiation (including the inverse and implicit function theorems) and Riemann integration (including Fubini's theorem) to functions of several variables, the .
A visual introduction to differential forms and calculus ~ Get this from a library! A visual introduction to differential forms and calculus on manifolds. [Jon Pierre Fortney] -- This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts .
A Visual Introduction to Differential Forms and Calculus ~ Publisher: Birkhäuser Date: 2018-12-07 ISBN-10: 3319969919 ISBN-13: 9783319969916 Language: English Pages: 468 Added: 2018-10-19 16:06:12. This book explains and helps readers to develop geometric intuition as it relates to differential forms.
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Differential Forms: A Complement to Vector Calculus ~ Buy Differential Forms: A Complement to Vector Calculus: Integration on Manifolds and Stokes's Theorem by Weintraub, Steven H. (ISBN: 9780127425108) from 's Book Store. Everyday low prices and free delivery on eligible orders.
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Advanced Calculus: A Differential Forms Approach, , 1994 ~ Advanced Calculus: A Differential Forms Approach, , 1994, 508 pages, Harold M. . This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous.
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An Introduction to Differential Manifolds / Jacques ~ This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set
Lecture Notes for Geometry 2 Henrik Schlichtkrull ~ Geometry 1. Together with the manifolds, important associated objects are introduced, such as tangent spaces and smooth maps. Finally the theory of differentiation and integration is developed on manifolds, leading up to Stokes’ theorem, which is the generalization to manifolds of the fundamental theorem of calculus.
Partial Differential Equations for Scientists and ~ Jerry, as Professor Farlow is known to the mathematical community, has written many other fine texts — on calculus, finite mathematics, modeling, and other topics. We followed up the 1993 Dover edition of the partial differential equations title in 2006 with a new edition of his An Introduction to Differential Equations and Their Applications.
