e-book Lectures on Classical Differential Geometry: Second Edition (Dover Books on Mathematics)

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Cambridge: Addison-Wesley Press, Vii, Pp. May not contain Access Codes or Supplements. May be ex-library. First Edition. Near fine. Aimed at advanced undergraduates and beginning graduate students. Terse, elegant exposition aimed at beginning graduate students. Includes global theorems. Unusually interesting exercises with extensive references to recent as of articles. The second half of the book covers Riemannian manifolds, spaces of constant curvature, and Einstein spaces.

Elegant and efficient presentation of modern material in classical notation. Very well written, with historical notes and references. Lipschutz, Martin M.

Lectures on Classical Differential Geometry (Dover Books on Mathematics)

Good source of practice problems. Classical notation. Few global results. At the bottom of the index of famous curves, there is a link to an index of curves for which there are Java applets allowing you to experiment with changing the curve parameters and viewing the results. Well-written book with historical outlook.

Interesting section on map projections. Part B: curves in the plane and in space, surfaces, map projections, curvature, goedesics, Gauss-Bonnet theorem, and constant curvature surfaces.

About the Book

Part C: abstract surfaces, models of non-Euclidean geometry, introduction to manifolds. Millman, R. Readable modern treatment that relies heavily on local coordinate computations. Good source for global theorems. Shorter and requires less background than do Carmo. Modern, assumes little background, but has considerable depth and anticipates manifold theory.

Excellent problems. Uses differential forms and the method of moving frames as primary tools. This adds depth and computational power, but also lengthens the book. Uses invariant index-free notation throughout. Second edition adds a couple of global results, plus computer exercises, brief tutorials on Maple and Mathematica, and useful chunks of code in Maple and Mathematica.


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  4. Lectures on Classical Differential Geometry: Second Edition.
  5. Lectures on classical differential geometry - Dirk Jan Struik - كتب Google;
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  8. See Prof. Differential geometry with an emphasis on applications involving the calculus of variations. No global theory of curves. Good, interesting problems. Uses Maple throughout to help with calculations and visualization.

    Lectures on classical differential geometry - Dirk Jan Struik - كتب Google

    Useful chunks of Maple code are provided. Presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to a minimum. Attempts to use the most direct and straghtforward approach to each topic. Hints or solutions to all the exercises appear at the back of the text. The second edition features a new section on spherical geometry and a whole new chapter on hyperbolic geometry.

    Part of a huge 5-volume set. See Vol. Very chatty and intuitive. Includes lots of material hard to find elsewhere. The item may have identifying markings on it or show other signs of previous use. May have page creases, creased spine, bent cover or markings inside.

    Best Reference Books – Differential and Riemannian Geometry

    Packed with care, shipped promptly. Seller Inventory G More information about this seller Contact this seller. Add to Basket. Book Description Dover Publications, Condition: Fine. Seller Inventory ZB Inside is in mint condition. Ships Fast! Satisfaction Guaranteed!. Seller Inventory mon Book Description Condition: Acceptable.

    This may include stains. The book also may contain heavy highlighting and notes. Thank you for supporting Goodwill Industries of Ventura and Santa Barbara County in our mission to enhance the dignity and quality of life of individuals and families through education, skills training, and the power of employment. Book Description Dover Publications, Inc. Trade Paperback. Condition: Good. Reliable customer service and no-hassle return policy.

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