# A Geometric Approach to Differential Forms

## David Bachman

Valutazione media 4,17
( su 12 valutazioni fornite da Goodreads )

This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems.

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From the Back Cover:

"[The author's] idea is to use geometric intuition to alleviate some of the algebraic difficulties...The emphasis is on understanding rather than on detailed derivations and proofs. This is definitely the right approach in a course at this level."   ―MAA Reviews (Review of First Edition)

"The book certainly has its merits and is very nicely illustrated ... . It should be noted that the material, which has been tested already in the classroom, aims at three potential course tracks: a course in multivariable calculus, a course in vector calculus and a course for more advanced undergraduates (and beginning graduates)."                                                                                   ―Mathematical Reviews (Review of First Edition)

The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the advanced undergraduate level.  The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually.

Each new concept is presented with a natural picture that students can easily grasp; algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions.

The second edition includes a completely new chapter on differential geometry, as well as other new sections, new exercises and new examples. Additional solutions to selected exercises have also been included. The work is suitable for use as the primary textbook for a sophomore-level class in vector calculus, as well as for more upper-level courses in differential topology and differential geometry.

David Bachman, Ph.D., is an assistant professor of mathematics at Pitzer College in California. He currently teaches courses in multivariable calculus as well as mathematical logic games.

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## 1.A Geometric Approach to Differential Forms (Hardback)

Editore: BIRKHAUSER BOSTON INC, United States (2011)
ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2011. Hardback. Condizione libro: New. 2nd ed. 2012. Language: English . Brand New Book. This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems. Codice libro della libreria AAZ9780817683030

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## 2.A Geometric Approach to Differential Forms

Editore: Birkhäuser Boston 2011-11-04, New York (2011)
ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro Birkhäuser Boston 2011-11-04, New York, 2011. hardback. Condizione libro: New. Codice libro della libreria 9780817683030

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## 3.A Geometric Approach to Differential Forms (Hardback)

Editore: BIRKHAUSER BOSTON INC, United States (2011)
ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2011. Hardback. Condizione libro: New. 2nd ed. 2012. Language: English . Brand New Book. This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems. Codice libro della libreria AAZ9780817683030

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## 4.A Geometric Approach to Differential Forms

Editore: Birkhauser 2011-11-09 (2011)
ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro Birkhauser 2011-11-09, 2011. Hardcover. Condizione libro: New. Codice libro della libreria NU-GRD-04871375

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## 5.A Geometric Approach to Differential Forms (2nd ed. 2012)

Editore: Birkhauser Boston Inc
ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro Birkhauser Boston Inc. Hardback. Condizione libro: new. BRAND NEW, A Geometric Approach to Differential Forms (2nd ed. 2012), David Bachman, This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems. Codice libro della libreria B9780817683030

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## 6.A Geometric Approach to Differential Forms (Hardcover)

ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro Condizione libro: New. Bookseller Inventory # ST0817683038. Codice libro della libreria ST0817683038

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## 7.A Geometric Approach to Differential Forms

Editore: Birkhauser Boston Inc (2011)
ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro Birkhauser Boston Inc, 2011. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780817683030

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## 8.A Geometric Approach to Differential Forms

Editore: Birkhauser Boston Inc (2011)
ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro Birkhauser Boston Inc, 2011. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780817683030

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## 9.Geometric Approach To Differential Forms, A

ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808176830300000000

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## 10.A Geometric Approach to Differential Forms

Editore: Birkh?user (2011)
ISBN 10: 0817683038 ISBN 13: 9780817683030
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Descrizione libro Birkh?user, 2011. Condizione libro: New. 2011. 2nd ed. 2012. Hardcover. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Num Pages: 174 pages, 43 black & white illustrations, biography. BIC Classification: PBKB; PBKS; PBMP. Category: (P) Professional & Vocational. Dimension: 237 x 164 x 17. Weight in Grams: 404. . . . . . . Codice libro della libreria V9780817683030

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