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Elementary differential geometry

By: Material type: TextTextLanguage: ENG Series: Springer Undergraduate Mathematics SeriesPublication details: London : Springer-Verlag London Limited, c2012.Edition: 2nd edDescription: xii, 473 p. : ill. ; 23cmISBN:
  • 9781848828902
  • 9781447175551 (pbk.)
Subject(s): DDC classification:
  • 516.36 PRE 23rd
Summary: Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include: *A chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. *Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. *Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com
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Item type Current library Call number Status Notes Barcode
Books Books Vigyanpuri Campus 516.36 PRE (Browse shelf(Opens below)) Available Acquired through NBHM Library Grant 2025-2026. M00085

Includes illustrations, appendices, hints to selected exercises, solutions and subject index.

Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout.

New features of this revised and expanded second edition include:
*A chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.
*Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature.
*Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com

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