# Search Results for "elementary-differential-geometry"

## Elementary Differential Geometry

• Author: Andrew Pressley
• Publisher: Springer Science & Business Media
• ISBN: 9781852331528
• Category: Mathematics
• Page: 332
• View: 4650
Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them are accessible to higher level undergraduates.Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there.The second edition has extra exercises with solutions available to lecturers online. There is additional material on Map Colouring, Holonomy and geodesic curvature and various additions to existing sections.

## Elementary Differential Geometry

• Author: A.N. Pressley
• Publisher: Springer Science & Business Media
• ISBN: 1848828918
• Category: Mathematics
• Page: 474
• View: 4853
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 ul

## Elementary Differential Geometry, Revised 2nd Edition

• Author: Barrett O'Neill
• Publisher: Elsevier
• ISBN: 9780080505428
• Category: Mathematics
• Page: 520
• View: 2700
Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition, provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises. As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text. Over 36,000 copies sold worldwide Accessible, practical yet rigorous approach to a complex topic--also suitable for self-study Extensive update of appendices on Mathematica and Maple software packages Thorough streamlining of second edition's numbering system Fuller information on solutions to odd-numbered problems Additional exercises and hints guide students in using the latest computer modeling tools

## Elementary Differential Geometry

• Author: Christian Bär
• Publisher: Cambridge University Press
• ISBN: 0521896711
• Category: Mathematics
• Page: 317
• View: 1796
This easy-to-read introduction takes the reader from elementary problems through to current research. Ideal for courses and self-study.

## Elementary Differential Geometry

• Author: Barrett O'Neill
• ISBN: 9780120887354
• Category: Mathematics
• Page: 503
• View: 2908
Written primarily for students who have completed first courses in calculus and linear algebra, this textbook provides an introduction to the geometry of curves and surfaces. This revised second edition gives an update of commands for the symbolic computation programs Mathematica or Maple.

## The elementary differential geometry of plane curves

• Author: Ralph Howard Fowler
• Publisher: N.A
• ISBN: N.A
• Category: Mathematics
• Page: 105
• View: 8343

## Curved Spaces

From Classical Geometries to Elementary Differential Geometry

• Author: P. M. H. Wilson
• Publisher: Cambridge University Press
• ISBN: 1139510436
• Category: Mathematics
• Page: N.A
• View: 1711
This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student with a basic background in analysis and algebra.

## Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers

• Author: Hung Nguyen-Schäfer,Jan-Philip Schmidt
• Publisher: Springer
• ISBN: 3662484978
• Category: Technology & Engineering
• Page: 376
• View: 4781