MARC details
| 000 -LEADER |
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| fixed length control field |
02857 a2200253 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240423020503.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
200921b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319397986 (hbk.) : |
| Terms of availability |
EURO 54.99 |
| 040 ## - CATALOGING SOURCE |
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| Language of cataloging |
ENG |
| Transcribing agency |
IISER-BPR |
| Modifying agency |
IISER-BPR |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
516.36 |
| Item number |
TAPP/D |
| Edition number |
23rd |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Tapp, Kristopher |
| 222 ## - KEY TITLE |
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| Key title |
Mathematics-textbook |
| 245 ## - TITLE STATEMENT |
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| Title |
Differential geometry of curves and surfaces / |
| Statement of responsibility, etc |
by Kristopher Tapp |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Switzerland: |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
c2016 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
vii, 366p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Springer undergraduate texts in mathematics; |
| International Standard Serial Number |
ISSN 0172-6056 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliography & index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential Geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Riemannian geometry |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| Koha issues (borrowed), all copies |
5 |
