Differential Forms With Applications to the Physical Sciences

Valutazione media 4,08
( su 13 valutazioni fornite da GoodReads )
 
9780486661698: Differential Forms With Applications to the Physical Sciences

A graduate-level text introducing the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Directed primarily to graduate-level engineers and physical scientists, it has also been used successfully to introduce modern differential geometry to graduate students in mathematics. Includes 45 illustrations. Index.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

Foreword; Preface to the Dover Edition; Preface to the First Edition I. Introduction 1.1 Exterior Differential Forms 1.2 Comparison with Tensors II. Exterior algebra 2.1 The Space of p-vectors 2.2 Determinants 2.3 Exterior Products 2.4 Linear Transformations 2.5 Inner Product Spaces 2.6 Inner Products of p-vectors 2.7 The Star Operator 2.8 Problems III. The Exterior Derivative 3.1 Differential Forms 3.2 Exterior Derivative 3.3 Mappings 3.4 Change of coordinates 3.5 An Example from Mechanics 3.6 Converse of the Poincaré Lemma 3.7 An Example 3.8 Further Remarks 3.9 Problems IV. Applications 4.1 Moving Frames in E superscript 3 4.2 Relation between Orthogonal and Skew-symmetric Matrices 4.3 The 6-dimensional Frame Space 4.4 The Laplacian, Orthogonal Coordinates 4.5 Surfaces 4.6 Maxwell's Field Equations 4.7 Problems V. Manifolds and Integration 5.1 Introduction 5.2 Manifolds 5.3 Tangent Vectors 5.4 Differential Forms 5.5 Euclidean Simplices 5.6 Chains and Boundaries 5.7 Integration of Forms 5.8 Stokes' Theorem 5.9 Periods and De Rham's Theorems 5.10 Surfaces; Some Examples 5.11 Mappings of Chains 5.12 Problems VI. Applications in Euclidean Space 6.1 Volumes in E superscript n 6.2 Winding Numbers, Degree of a Mapping 6.3 The Hopf Invariant 6.4 Linking Numbers, the Gauss Integral, Ampère's Law VII. Applications to Different Equations 7.1 Potential Theory 7.2 The Heat Equation 7.3 The Frobenius Integration Theorem 7.4 Applications of the Frobenius Theorem 7.5 Systems of Ordinary Equations 7.6 The Third Lie Theorem VIII. Applications to Differential Geometry 8.1 Surfaces (Continued) 8.2 Hypersurfaces 8.3 Riemannian Geometry, Local Theory 8.4 Riemannian Geometry, Harmonic Integrals 8.5 Affine Connection 8.6 Problems IX. Applications to Group Theory 9.1 Lie Groups 9.2 Examples of Lie Groups 9.3 Matrix Groups 9.4 Examples of Matrix Groups 9.5 Bi-invariant Forms 9.6 Problems X. Applications to Physics 10.1 Phase and State Space 10.2 Hamiltonian Systems 10.3 Integral-invariants 10.4 Brackets 10.5 Contact Transformations 10.6 Fluid Mechanics 10.7 Problems Bibliography; Glossary of Notation; Index

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Harley Flanders
Editore: Dover Publications Inc., United States (1990)
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi Paperback Quantità: 10
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 1990. Paperback. Condizione libro: New. New edition. 212 x 136 mm. Language: English . Brand New Book. To the reader who wishes to obtain a bird s-eye view of the theory of differential forms with applications to other branches of pure mathematics, applied mathematic and physics, I can recommend no better book. -- T. J. Willmore, London Mathematical Society Journal. This excellent text introduces the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Requiring familiarity with several variable calculus and some knowledge of linear algebra and set theory, it is directed primarily to engineers and physical scientists, but it has also been used successfully to introduce modern differential geometry to students in mathematics. Chapter I introduces exterior differential forms and their comparisons with tensors. The next three chapters take up exterior algebra, the exterior derivative and their applications. Chapter V discusses manifolds and integration, and Chapter VI covers applications in Euclidean space. The last three chapters explore applications to differential equations, differential geometry, and group theory. The book is very readable, indeed, enjoyable -- and, although addressed to engineers and scientists, should be not at all inaccessible to or inappropriate for . first year graduate students and bright undergraduates. -- F. E. J. Linton, Wesleyan University, American Mathematical Monthly. Codice libro della libreria AAC9780486661698

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 9,75
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

2.

Flanders, Harley
Editore: Dover Publishers
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi Quantità: > 20
Da
INDOO
(Avenel, NJ, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486661695

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 6,71
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,25
In U.S.A.
Destinazione, tempi e costi

3.

Harley Flanders
Editore: Dover Publications Inc., United States (1990)
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi Paperback Quantità: 10
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 1990. Paperback. Condizione libro: New. New edition. 212 x 136 mm. Language: English . Brand New Book. To the reader who wishes to obtain a bird s-eye view of the theory of differential forms with applications to other branches of pure mathematics, applied mathematic and physics, I can recommend no better book. -- T. J. Willmore, London Mathematical Society Journal. This excellent text introduces the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Requiring familiarity with several variable calculus and some knowledge of linear algebra and set theory, it is directed primarily to engineers and physical scientists, but it has also been used successfully to introduce modern differential geometry to students in mathematics. Chapter I introduces exterior differential forms and their comparisons with tensors. The next three chapters take up exterior algebra, the exterior derivative and their applications. Chapter V discusses manifolds and integration, and Chapter VI covers applications in Euclidean space. The last three chapters explore applications to differential equations, differential geometry, and group theory. The book is very readable, indeed, enjoyable -- and, although addressed to engineers and scientists, should be not at all inaccessible to or inappropriate for . first year graduate students and bright undergraduates. -- F. E. J. Linton, Wesleyan University, American Mathematical Monthly. Codice libro della libreria AAC9780486661698

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 10,28
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

4.

Harley Flanders
Editore: Dover Publications Inc. (1990)
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi Quantità: 6
Da
PBShop
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., 1990. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486661698

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 6,88
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

5.

Flanders, Harley
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi Paperback Quantità: 2
Da
BargainBookStores
(Grand Rapids, MI, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Paperback. Condizione libro: New. Codice libro della libreria 1495688

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 7,19
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

6.

Flanders, Harley
Editore: Dover Publications (1989)
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi Paperback Quantità: 6
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications, 1989. Paperback. Condizione libro: New. Codice libro della libreria 0486661695

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 9,01
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 2,78
In U.S.A.
Destinazione, tempi e costi

7.

Flanders, Harley; Mathematics
Editore: Dover Publications
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi PAPERBACK Quantità: 6
Da
Movie Mars
(Matthews, NC, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486661695 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 4789755

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 8,59
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

8.

Harley Flanders
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi Paperback Quantità: 1
Da
Grand Eagle Retail
(Wilmington, DE, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Paperback. Condizione libro: New. New edition. 138mm x 11mm x 216mm. Paperback. A graduate-level text introducing the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. .Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 240 pages. 0.245. Codice libro della libreria 9780486661698

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 14,17
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

9.

Flanders, Harley; Mathematics
Editore: Dover Publications
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi PAPERBACK Quantità: 1
Da
Vital Products COM LLC
(southampton, PA, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486661695. Codice libro della libreria Z0486661695ZN

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 14,18
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

10.

Mathematics
Editore: Dover Publications
ISBN 10: 0486661695 ISBN 13: 9780486661698
Nuovi Paperback Quantità: 10
Da
BuySomeBooks
(Las Vegas, NV, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 205 pages. Dimensions: 8.3in. x 5.3in. x 0.6in.To the reader who wishes to obtain a birds-eye view of the theory of differential forms with applications to other branches of pure mathematics, applied mathematic and physics, I can recommend no better book. T. J. Willmore, London Mathematical Society Journal. This excellent text introduces the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Requiring familiarity with several variable calculus and some knowledge of linear algebra and set theory, it is directed primarily to engineers and physical scientists, but it has also been used successfully to introduce modern differential geometry to students in mathematics. Chapter I introduces exterior differential forms and their comparisons with tensors. The next three chapters take up exterior algebra, the exterior derivative and their applications. Chapter V discusses manifolds and integration, and Chapter VI covers applications in Euclidean space. The last three chapters explore applications to differential equations, differential geometry, and group theory. The book is very readable, indeed, enjoyable and, although addressed to engineers and scientists, should be not at all inaccessible to or inappropriate for . . . first year graduate students and bright undergraduates. F. E. J. Linton, Wesleyan University, American Mathematical Monthly. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486661698

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 10,89
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,67
In U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro