This classic work is now available in an unabridged paperback edition. Stoker makes this fertile branch of mathematics accessible to the nonspecialist by the use of three different notations: vector algebra and calculus, tensor calculus, and the notation devised by Cartan, which employs invariant differential forms as elements in an algebra due to Grassman, combined with an operation called exterior differentiation. Assumed are a passing acquaintance with linear algebra and the basic elements of analysis.
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2 of 2 people found the following review helpful:
5.0 out of 5 stars
A Wiley book you can actually learn from,
This review is from: Differential Geometry (Wiley Classics Library) (Paperback)
Most books in the Wiley Classics collection are not for beginners in the subject. This is one of the few that you can use as either an introduction to differential geometry or as a reference. Another flaw found in most mathematical texts is the order in which ideas are presented. There are so many areas of mathematics related to so many other areas that it can be very difficult for a professor or author to present a linear course of thought on the subject, Stoker does an excellent job of finding that linear course of thought. I highly recommend it; even if you have to pay full price for it.
Just so you know Stoker's Differential Geometry is undergraduate level differential geometry. The 2 volume set by Shoshichi Kobayashi and Katsumi Nomizu in the Wiley Classics Library is a graduate level treatment of the subject.
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Inside This Book
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This chapter presents briefly the principal rules for operating with vectors, and a collection of those formulas which are useful in differential geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
geodetic polar, geodetic circle, geodetic curvature, geodetic radius, continuous second derivatives with respect, geodetic triangles, closed regular surface, functions gik, geodetic arc, coefficients gik, invariant under parameter transformations, geodetic lines, parabolic points, osculating paraboloid, finite compactness, continuous third derivatives, osculating space, local parallelism, local support property, umbilical points, geodetic coordinate systems, isothermal parameters, admissible arcs, isometric invariant, moving trihedral Key Phrases - Capitalized Phrases (CAPs): (learn more)
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This chapter presents briefly the principal rules for operating with vectors, and a collection of those formulas which are useful in differential geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
geodetic polar, geodetic circle, geodetic curvature, geodetic radius, continuous second derivatives with respect, geodetic triangles, closed regular surface, functions gik, geodetic arc, coefficients gik, invariant under parameter transformations, geodetic lines, parabolic points, osculating paraboloid, finite compactness, continuous third derivatives, osculating space, local parallelism, local support property, umbilical points, geodetic coordinate systems, isothermal parameters, admissible arcs, isometric invariant, moving trihedral Key Phrases - Capitalized Phrases (CAPs): (learn more)
Erhard Schmidt New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 16
books:
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93
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- The Theory of Relativity: & Other Essays by Albert Einstein on 4 pages
- Complex Analysis by Lars Ahlfors on page 42, and Back Matter
- Differential Forms (Dover Books on Mathematics) by Henri Cartan on page 335, and page 368
- Lectures on Differential Geometry by Sholomo Sternberg in Back Matter
- Theory of Ordinary Differential Equations by Earl A. Coddington in Back Matter
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- Principles Of Applied Mathematics (Advanced Book Program) by James P. Keener on page 202, page 497, and Back Matter
- Geometrical Foundations of Asymptotic Inference by Robert E. Kass in Back Matter (1), and Back Matter (2)
- Partial Differential Equations: Basic Theory (Texts in Applied Mathematics) by Michael E. Taylor on page 113, and page 414
- Radar Imaging of Airborne Targets: A Primer for Applied Mathematicians and Physicists by Brett Borden in Back Matter (1), and Back Matter (2)
- Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences) by Michael E. Taylor on page 113, and page 413
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