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Differential Geometry: Curves — Surfaces — Manifolds, Third Edition

Wolfgang Kühnel University of Stuttgart, Stuttgart, Germany
Available Formats:
Softcover ISBN: 978-1-4704-2320-9
Product Code: STML/77
List Price: $52.00 Individual Price:$41.60
Electronic ISBN: 978-1-4704-2675-0
Product Code: STML/77.E
List Price: $49.00 Individual Price:$39.20
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List Price: $78.00 Click above image for expanded view Differential Geometry: Curves — Surfaces — Manifolds, Third Edition Wolfgang Kühnel University of Stuttgart, Stuttgart, Germany Available Formats:  Softcover ISBN: 978-1-4704-2320-9 Product Code: STML/77  List Price:$52.00 Individual Price: $41.60  Electronic ISBN: 978-1-4704-2675-0 Product Code: STML/77.E  List Price:$49.00 Individual Price: $39.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$78.00
• Book Details

Student Mathematical Library
Volume: 772015; 403 pp
MSC: Primary 53;

This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and—as a new feature—a good number of solutions to selected exercises.

This new edition is an improved version of what was already an excellent and carefully written introduction to both differential geometry and Riemannian geometry. In addition to a variety of improvements, the author has included solutions to many of the problems, making the book even more appropriate for use in the classroom.

This book on differential geometry by Kühnel is an excellent and useful introduction to the subject. … There are many points of view in differential geometry and many paths to its concepts. This book provides a good, often exciting and beautiful basis from which to make explorations into this deep and fundamental mathematical subject.

Louis Kauffman, University of Illinois at Chicago

• Chapters
• Chapter 1. Notations and prerequisites from analysis
• Chapter 2. Curves in $\mathbb {R}^n$
• Chapter 3. The local theory of surfaces
• Chapter 4. The intrinsic geometry of surfaces
• Chapter 5. Riemannian manifolds
• Chapter 6. The curvature tensor
• Chapter 7. Spaces of constant curvature
• Chapter 8. Einstein spaces
• Solutions to selected exercises

• Requests

Review Copy – for reviewers who would like to review an AMS book
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 772015; 403 pp
MSC: Primary 53;

This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and—as a new feature—a good number of solutions to selected exercises.

This new edition is an improved version of what was already an excellent and carefully written introduction to both differential geometry and Riemannian geometry. In addition to a variety of improvements, the author has included solutions to many of the problems, making the book even more appropriate for use in the classroom.

This book on differential geometry by Kühnel is an excellent and useful introduction to the subject. … There are many points of view in differential geometry and many paths to its concepts. This book provides a good, often exciting and beautiful basis from which to make explorations into this deep and fundamental mathematical subject.

Louis Kauffman, University of Illinois at Chicago

• Chapters
• Chapter 1. Notations and prerequisites from analysis
• Chapter 2. Curves in $\mathbb {R}^n$
• Chapter 3. The local theory of surfaces
• Chapter 4. The intrinsic geometry of surfaces
• Chapter 5. Riemannian manifolds
• Chapter 6. The curvature tensor
• Chapter 7. Spaces of constant curvature
• Chapter 8. Einstein spaces
• Solutions to selected exercises
Review Copy – for reviewers who would like to review an AMS book
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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