Elementary differential geometry
Pressley, Andrew
Elementary differential geometry - 2nd ed. - London : Springer-Verlag London Limited, c2012. - xii, 473 p. : ill. ; 23cm. - Springer Undergraduate Mathematics Series .
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
9781848828902 9781447175551 (pbk.) € 34.99 = Mathematics
Mathematics
Geometry
Analytic geometries
Differential and integral geometry
516.36 / PRE
Elementary differential geometry - 2nd ed. - London : Springer-Verlag London Limited, c2012. - xii, 473 p. : ill. ; 23cm. - Springer Undergraduate Mathematics Series .
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
9781848828902 9781447175551 (pbk.) € 34.99 = Mathematics
Mathematics
Geometry
Analytic geometries
Differential and integral geometry
516.36 / PRE
