000 -Record Label |
fixed length control field |
02915nam 2200301| 4500 |
005 - Identificador da versão |
control field |
20220404162949.0 |
010 ## - ISBN - International Standard Book Number |
Número (ISBN) |
978-3-319-39799-3 |
Modalidade de aquisição e/ou preço |
compra |
100 ## - Entrada principal |
Dados gerais de processamento |
20190128d2016 k||y0pory50 ba |
101 ## - Língua do documento |
Língua do texto, banda sonora, etc. |
eng |
102 ## - País da publicação |
País de publicação |
Switzerland, Swiss Confederation |
200 ## - Título |
Título próprio |
Differential geometry of curves and surfaces |
Indicação geral da natureza do documento |
Documento eletrónico |
Primeira menção de responsabilidade |
Kristopher Tapp |
210 ## - Local de edição |
Lugar da edição, distribuição, etc. |
Cham |
Nome do editor, distribuidor, etc. |
Springer International Publishing |
Data da publicação, distribuição, etc. |
2016 |
215 ## - Descrição física (Vol.pg.fl.tm.fsc) |
Descrição física |
VIII, 366 p. |
Outras indicações físicas |
il. |
225 ## - Coleção |
Título próprio da colecção |
Undergraduate Texts in Mathematics |
300 ## - Notas gerais |
Texto da nota |
Colocação: Online |
303 ## - Notas Informação descritiva |
Texto da nota |
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. . |
410 ## - Séries Coleção |
ISSN |
0172-6056 |
606 ## - Nome comum como assunto |
Koha Internal code |
39428 |
Elemento de entrada |
Geometria diferencial global |
680 ## - Classificação Biblioteca Congresso |
Notação |
QA641 |
700 ## - Autor (resp. principal) |
Palavra de ordem |
Tapp |
Outra parte do nome |
Kristopher |
Koha Internal Code |
33301 |
801 ## - Fonte de origem |
Regras de catalogação |
RPC |
País |
Portugal |
856 ## - URL Endereço WEB |
URL |
https://doi.org/10.1007/978-3-319-39799-3 |
942 ## - Elementos de entrada adicionados (Koha) |
Fonte da classificação ou esquema de estante |
|
Tipo de item no Koha |
E-Books |
Suprimido |
0 |