"Excellent figures supplement a good account, sprinkled with illustrative examples. "The text is nicely illustrated, the definitions are well-motivated and the proofs are particularly well-written and student-friendly.this book would make an excellent text for an undergraduate course, but could also well be used for a reading course, or simply read for pleasure."
ELEMENTARY DIFFERENTIAL GEOMETRY PRESSLEY MANUAL
Around 200 additional exercises, and a full solutions manual for instructors, available via Praise for the first edition:.
In some districts, replacing just one textbook has made tens of thousands of dollars available for other purposes. It only has the solutions to the odd exercises in the back though. I would recommend Barret ONeils Elementary Differential Geometry over Pressleys.
Coverage of topics such as: parallel transport and its applications map colouring holonomy and Gaussian curvature. Reallocate Money Switching to educational materials that are openly licensed enables schools to repurpose funding spent on textbooks for other pressing needs, such as investing in the transition to digital learning. I used Pressleys Elementary Differential Geometry and honestly, in the long term I dont think it will serve you that well. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Springer Science & Business Media, 2001 - Geometry, Differential - 332 pages. a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. Elementary Differential Geometry - Andrew Pressley - Google Books. New features of this revised and expanded second edition include: 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. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates.Įlementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. 
Differential geometry is concerned with the precise mathematical formulation of some of these questions. I plan to cover most of Chapters 1-8 and parts of 10 and 11 from the textbook.
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. Andrew Pressley: Elementary Differential Geometry, Springer, 2001 Recommended reading: Manfredo do Carmo: Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976 More advanced, a classic.
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