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Differential Geometry of Curves and..., Tapp, Kristophe
US $65.99
ApproximatelyS$ 84.67
Condition:
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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Located in: Montgomery Illinois, United States
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eBay item number:356880178822
Item specifics
- Condition
- Book Title
- Differential Geometry of Curves and Surfaces (Undergraduate Te...
- ISBN
- 3319397982
- EAN
- 9783319397986
- Release Title
- Differential Geometry of Curves and Surfaces (Undergraduate Te...
- Artist
- Tapp, Kristopher
- Brand
- N/A
- Colour
- N/A
About this product
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3319397982
ISBN-13
9783319397986
eBay Product ID (ePID)
224467104
Product Key Features
Number of Pages
VIII, 366 Pages
Publication Name
Differential Geometry of Curves and Surfaces
Language
English
Subject
Geometry / Differential, Geometry / General, Geometry / Algebraic
Publication Year
2016
Type
Textbook
Subject Area
Mathematics
Series
Undergraduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
266 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Dewey Edition
23
Reviews
"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), "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), "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 and intuitive. 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)
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.36
Table Of Content
Introduction.- Curves.- Additional topics in curves.- Surfaces.- The curvature of a surface.- Geodesics.- The Gauss-Bonnet theorem.- Appendix A: The topology of subsets of R n .- Recommended excursions.- Index.
Synopsis
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 readers, the author employs various techniques to render the difficult abstract ideas herein more understandable and engaging. Over 300 color illustrations bring the mathematics to life, instantly clarifying concepts in ways that grayscale could not. Green-boxed definitions and purple-boxed theorems help to visually organize the mathematical content. Color is even used within the text to highlight logical relationships. Applications abound! The study of conformal and equiareal functions is grounded in its application to cartography. Evolutes, involutes and cycloids are introduced through Christiaan Huygens' fascinating story: in attempting to solve the famous longitude problem with a mathematically-improved pendulum clock, he invented mathematics that would later be applied to optics and gears. Clairaut's Theorem is presented as a conservation law for angular momentum. Green's Theorem makes possible a drafting tool called a planimeter. Foucault's Pendulum helps one visualize a parallel vector field along a latitude of the earth. 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. The GPS in any car wouldn't work without general relativity, formalized through the language of differential geometry. Throughout this book,applications, metaphors and visualizations are tools that motivate and clarify the rigorous mathematical content, but never replace it.
LC Classification Number
QA641-670
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- s***j (446)- Feedback left by buyer.Past monthVerified purchaseGreat!
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Seller feedback (273,273)
- s***j (446)- Feedback left by buyer.Past monthVerified purchaseGreat!
- r***i (273)- Feedback left by buyer.Past monthVerified purchaseA little more banged up than expected with the description
- l***4 (168)- Feedback left by buyer.Past monthVerified purchaseNever arrived, received refund