Tensors, Differential Forms, and Variational Principles (Dover Books on Mathematics)

3.73 avg rating
( 22 ratings by Goodreads )
 
9780486658407: Tensors, Differential Forms, and Variational Principles (Dover Books on Mathematics)

The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound importance to all physical field theories.
Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations — departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts.
The treatment of the calculus of variations of single and multiple integrals is based ab initio on Carathéodory's method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include:
· integral invariants
· simple and direct derivations of Noether's theorems
· Riemannian spaces with indefinite metrics
The emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories.

"synopsis" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Lovelock, David
ISBN 10: 0486658406 ISBN 13: 9780486658407
New Quantity Available: > 20
Seller:
Paperbackshop-US
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description 1989. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # V0-9780486658407

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 9.11
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

2.

David Lovelock, Hanno Rund
Published by Dover Publications Inc., United States (1989)
ISBN 10: 0486658406 ISBN 13: 9780486658407
New Paperback Quantity Available: 10
Seller:
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Dover Publications Inc., United States, 1989. Paperback. Book Condition: New. New edition. Language: English . Brand New Book. The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound importance to all physical field theories. Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts. The treatment of the calculus of variations of single and multiple integrals is based ab initio on Caratheodory s method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include: integral invariants simple and direct derivations of Noether s theorems Riemannian spaces with indefinite metrics The emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories. Bookseller Inventory # AA99780486658407

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 13.37
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Lovelock, David
Published by Dover Publishers
ISBN 10: 0486658406 ISBN 13: 9780486658407
New Quantity Available: > 20
Seller:
INDOO
(Avenel, NJ, U.S.A.)
Rating
[?]

Book Description Dover Publishers. Book Condition: New. Brand New. Bookseller Inventory # 0486658406

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 10.15
Convert Currency

Add to Basket

Shipping: US$ 3.50
Within U.S.A.
Destination, Rates & Speeds

4.

David Lovelock, Hanno Rund
Published by Dover Publications Inc., United States (1989)
ISBN 10: 0486658406 ISBN 13: 9780486658407
New Paperback Quantity Available: 10
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Dover Publications Inc., United States, 1989. Paperback. Book Condition: New. New edition. Language: English . Brand New Book. The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound importance to all physical field theories. Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts. The treatment of the calculus of variations of single and multiple integrals is based ab initio on Caratheodory s method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include: integral invariants simple and direct derivations of Noether s theorems Riemannian spaces with indefinite metrics The emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories. Bookseller Inventory # AA99780486658407

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 13.73
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Lovelock, David
ISBN 10: 0486658406 ISBN 13: 9780486658407
New Quantity Available: 8
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description 1989. PAP. Book Condition: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # IB-9780486658407

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 10.70
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

6.

Lovelock, David
Published by Dover Publications (1989)
ISBN 10: 0486658406 ISBN 13: 9780486658407
New Paperback Quantity Available: 2
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Dover Publications, 1989. Paperback. Book Condition: New. Never used!. Bookseller Inventory # 0486658406

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 13.82
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

7.

Lovelock, David; Rund, Hanno; Mathematics
Published by Dover Publications
ISBN 10: 0486658406 ISBN 13: 9780486658407
New PAPERBACK Quantity Available: > 20
Seller:
Mediaoutlet12345
(Springfield, VA, U.S.A.)
Rating
[?]

Book Description Dover Publications. PAPERBACK. Book Condition: New. 0486658406 *BRAND NEW* Ships Same Day or Next!. Bookseller Inventory # NATARAJB1FI999166

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 12.22
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

8.

Rund Hanno Lovelock David
Published by Dover Publications, Incorporated
ISBN 10: 0486658406 ISBN 13: 9780486658407
New Quantity Available: 3
Seller:
Majestic Books
(London, ,, United Kingdom)
Rating
[?]

Book Description Dover Publications, Incorporated. Book Condition: New. pp. 400. Bookseller Inventory # 8108479

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 9.05
Convert Currency

Add to Basket

Shipping: US$ 7.42
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

David Lovelock, Hanno Rund
Published by Dover Publications Inc., United States (1989)
ISBN 10: 0486658406 ISBN 13: 9780486658407
New Paperback Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Dover Publications Inc., United States, 1989. Paperback. Book Condition: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound importance to all physical field theories. Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts. The treatment of the calculus of variations of single and multiple integrals is based ab initio on Caratheodory s method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include: integral invariants simple and direct derivations of Noether s theorems Riemannian spaces with indefinite metrics The emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories. Bookseller Inventory # BTE9780486658407

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 16.91
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Lovelock, David; Rund, Hanno; Mathematics
Published by Dover Publications
ISBN 10: 0486658406 ISBN 13: 9780486658407
New PAPERBACK Quantity Available: 1
Seller:
Lakeside Books
(Benton Harbor, MI, U.S.A.)
Rating
[?]

Book Description Dover Publications. PAPERBACK. Book Condition: New. 0486658406 Brand New! Not Overstocks or Low Quality Book Club Editions! Direct From the Publisher! We're not a giant, faceless warehouse organization! We're a small town bookstore that loves books and loves it's customers! Buy from us and you get great service as well as a great price! Your business is valued and your satisfaction is guaranteed!. Bookseller Inventory # OTF-9780486658407

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 13.16
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book