Differential Geometry of Curves and Surfaces, 1st Edition, 9783319397986
Hardcover
Even better, a south-pointing chariot helps one visualize a parallel vector field along any curve in any surface.In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book.

Differential Geometry of Curves and Surfaces, 1st Edition

$302.98

  • Hardcover

    366 pages

  • Release Date

    27 September 2016

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Summary

This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursive applications and advanced topics. For readers bound for graduate school in math or physics, this is a clear, concise, rigorous development of the topic including the deep global theorems. For the benefit of all read…

Book Details

ISBN-13:9783319397986
ISBN-10:3319397982
Author:Kristopher Tapp
Publisher:Springer International Publishing AG
Imprint:Springer International Publishing AG
Format:Hardcover
Number of Pages:366
Edition:1st
Release Date:27 September 2016
Weight:7.54kg
Dimensions:235mm x 155mm
Series:Undergraduate Texts in Mathematics
What They're Saying

Critics Review

“This is the first textbook on mathematics that I see printed in color. … This book is not a usual textbook, but a very well written introduction to differential geometry, and the colors really help the reader in understanding the figures and navigating through the text. … this book will surely serve very well for students who want to learn differential geometry from the ground up no matter what their main learning goal is.” (Árpád Kurusa, Acta Scientiarum Mathematicarum, Vol. 84 (1-2), 2018)

“This book is perfect for undergraduate students. … There is also plenty of figures, examples, exercises and applications which make the differential geometry of curves and surfaces so interesting andintuitive. The author uses a rich variety of colours and techniques that help to clarify difficult abstract concepts.” (Teresa Arias-Marco, zbMATH 1375.53001, 2018)

“This is a visually appealing book, replete with many diagrams, lots of them in full color. … the author’s writing style is extremely clear and well-motivated. … this is still the book I would use as a text for a beginning course on this subject. It would not surprise me if it quickly becomes the market leader.” (Mark Hunacek, MAA Reviews, July, 2017)

About The Author

Kristopher Tapp

Kristopher Tapp is Professor of Mathematics at Saint Joseph’s University. He has been awarded two National Science Foundation research grants to support research in differential geometry, and several teaching awards. He is the author of Symmetry: A Mathematical Exploration (Springer, 2012) and over twenty research papers featured in top journals.

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