An Introductory Course on Differentiable Manifolds Paperback - 2016
by Siavash Shahshahani
From the rear cover
Based on author Siavash Shahshahani's extensive teaching experience, this volume presents a thorough, rigorous course on the theory of differentiable manifolds. Geared toward advanced undergraduates and graduate students in mathematics, the treatment's prerequisites include a strong background in undergraduate mathematics, including multivariable calculus, linear algebra, elementary abstract algebra, and point set topology. More than 200 exercises offer students ample opportunity to gauge their skills and gain additional insights.
The four-part treatment begins with a single chapter devoted to the tensor algebra of linear spaces and their mappings. Part II brings in neighboring points to explore integrating vector fields, Lie bracket, exterior derivative, and Lie derivative. Part III, involving manifolds and vector bundles, develops the main body of the course. The final chapter provides a glimpse into geometric structures by introducing connections on the tangent bundle as a tool to implant the second derivative and the derivative of vector fields on the base manifold. Relevant historical and philosophical asides enhance the mathematical text, and helpful Appendixes offer supplementary material.
Dover Aurora Modern Math Original.
See every Dover book in print at
www.doverpublications.com
Details
- Title An Introductory Course on Differentiable Manifolds
- Author Siavash Shahshahani
- Binding Paperback
- Pages 368
- Volumes 1
- Language ENG
- Publisher Dover Publications, Mineola
- Date 2016
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- ISBN 9780486807065 / 0486807061
- Weight 1.2 lbs (0.54 kg)
- Dimensions 8.9 x 5.9 x 0.9 in (22.61 x 14.99 x 2.29 cm)
- Library of Congress subjects Differentiable manifolds
- Library of Congress Catalog Number 2017303201
- Dewey Decimal Code 516.36
About the author
More Copies for Sale
AN INTRODUCTORY COURSE ON DIFFERENTIABLE MANIFOLDS (AURORA, DOVER MODERN MATH ORIGINALS)
by Shahshahani, Siavash, 1942-
- Used
- Condition
- Used
- ISBN 10 / ISBN 13
- 9780486807065 / 0486807061
- Quantity Available
- 1
- Seller
-
Rockville, Maryland, United States
- Item Price
-
$18.75$6.00 shipping to USA
Show Details
An Introductory Course on Differentiable Manifolds (Aurora: Dover Modern Math Originals)
by Shahshahani, Siavash
- New
- Paperback
- Condition
- New
- Binding
- Paperback
- ISBN 10 / ISBN 13
- 9780486807065 / 0486807061
- Quantity Available
- 824
- Seller
-
Fairfax Station, Virginia, United States
- Item Price
-
$25.49$3.99 shipping to USA
Show Details
An Introductory Course on Differentiable Manifolds (Aurora: Dover Modern Math Originals)
by Shahshahani, Siavash
- Used
- Paperback
- Condition
- New
- Binding
- Paperback
- ISBN 10 / ISBN 13
- 9780486807065 / 0486807061
- Quantity Available
- 824
- Seller
-
Fairfax Station, Virginia, United States
- Item Price
-
$31.06$3.99 shipping to USA
Show Details
An Introductory Course on Differentiable Manifolds (Aurora: Dover Modern Math Originals)
by Shahshahani, Siavash
- Used
- Good
- Paperback
- Condition
- Used - Good
- Binding
- Paperback
- ISBN 10 / ISBN 13
- 9780486807065 / 0486807061
- Quantity Available
- 1
- Seller
-
Newport Coast, California, United States
- Item Price
-
$48.87FREE shipping to USA
Show Details
An Introductory Course on Differentiable Manifolds
by Shahshahani, Siavash
- New
- Paperback
- Condition
- New
- Binding
- Paperback
- ISBN 10 / ISBN 13
- 9780486807065 / 0486807061
- Quantity Available
- 1
- Seller
-
Exeter, Devon, United Kingdom
- Item Price
-
$70.31$13.46 shipping to USA
Show Details
An Introductory Course on Differentiable Manifolds (Aurora: Dover Modern Math Originals) by Siavash Shahshahani
by Siavash Shahshahani
- Used
- Condition
- Used
- ISBN 10 / ISBN 13
- 9780486807065 / 0486807061
- Quantity Available
- 2
- Seller
-
Franklin, Tennessee, United States
- Item Price
-
$52.95$3.95 shipping to USA