Introdu O Geometria Diferencial
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Introdu O Geometria Diferencial
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Author : Keti Tenenblat
language : pt-BR
Publisher: Editora Blucher
Release Date : 2008-01-01
Introdu O Geometria Diferencial written by Keti Tenenblat and has been published by Editora Blucher this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
"Introdução à geometria diferencial" é um livro que introduz os conceitos básicos de geometria diferencial. A teoria local de curvas e de superfícies no espaço euclidiano é apresentada para estudantes que tenham completado os cursos básicos de cálculo diferencial e equações diferenciais ordinárias. Os conceitos e resultados fundamentais da teoria clássica de curvas e superfícies parametrizadas são desenvolvidos e ilustrados, por meio de vários exemplos e figuras, selecionados para estimular a percepção e a visualização das propriedades geométricas. Além disso, cada seção inclui uma série de exercícios que permitem rever e fixar a teoria apresentada. O texto contém uma indicação de aplicações da computação gráfica para a visualização de alguns tópicos selecionados de geometria diferencial. O último capítulo introduz o método do triedro móvel como um método alternativo ao clássico, embora menos intuitivo, para o estudo local das superfícies e de suas propriedades.
Introduction To Differential Geometry
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Author : Joel W. Robbin
language : en
Publisher: Springer Nature
Release Date : 2022-01-12
Introduction To Differential Geometry written by Joel W. Robbin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-12 with Mathematics categories.
This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an intrinsic view point. The first chapters give a historical overview of the field and contain an introduction to basic concepts such as manifolds and smooth maps, vector fields and flows, and Lie groups, leading up to the theorem of Frobenius. Subsequent chapters deal with the Levi-Civita connection, geodesics, the Riemann curvature tensor, a proof of the Cartan-Ambrose-Hicks theorem, as well as applications to flat spaces, symmetric spaces, and constant curvature manifolds. Also included are sections about manifolds with nonpositive sectional curvature, the Ricci tensor, the scalar curvature, and the Weyl tensor. An additional chapter goes beyond the scope of a one semester lecture course and deals with subjects such as conjugate points and the Morse index, the injectivity radius, the group of isometries and the Myers-Steenrod theorem, and Donaldson's differential geometric approach to Lie algebra theory.
Geometria Diferencial
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Author : Antonio Rodrigues
language : en
Publisher:
Release Date : 196?
Geometria Diferencial written by Antonio Rodrigues and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 196? with categories.
Introducao A Geometria Diferencial Global
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Author : Manfredo Perdigão do Carmo
language : en
Publisher:
Release Date : 1970
Introducao A Geometria Diferencial Global written by Manfredo Perdigão do Carmo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
An Introduction To Differential Geometry
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Author : Thomas Willmore
language : en
Publisher:
Release Date : 1959
An Introduction To Differential Geometry written by Thomas Willmore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Geometry, Differential categories.
Geometr A Diferencial
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Author : A. V. Pogoriélov
language : es
Publisher:
Release Date : 1994
Geometr A Diferencial written by A. V. Pogoriélov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
An Introduction To Differential Geometry
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Author : Thomas James Willmore
language : en
Publisher:
Release Date : 1966
An Introduction To Differential Geometry written by Thomas James Willmore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Elementary Differential Geometry
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Author : Barrett O'Neill
language : en
Publisher:
Release Date : 1966
Elementary Differential Geometry written by Barrett O'Neill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mathematics categories.
Written primarily for readers who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Second Edition provides an introduction to the geometry of curves and surfaces. Although the popular First Edition has been extensively modified, this Second Edition maintains the elementary character of that volume, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis has been placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. For readers with access to the symbolic computation programs, Mathematica or Maple, the book includes approximately 30 optional computer exercises. These are not intended as an essential part of the book, but rather an extension. No computer skill is necessary to take full advantage of this comprehensive text. * Gives detailed examples for all essential ideas * Provides more than 300 exercises * Features more than 200 illustrations * Includes an introduction to using computers, and supplies answers to computer exercises given for both Mathematica and Maple systems
Manifolds Vector Fields And Differential Forms
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Author : Gal Gross
language : en
Publisher: Springer Nature
Release Date : 2023-04-25
Manifolds Vector Fields And Differential Forms written by Gal Gross and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-25 with Mathematics categories.
This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students. It places special emphasis on motivation and understanding, while developing a solid intuition for the more abstract concepts. In contrast to graduate level references, the text relies on a minimal set of prerequisites: a solid grounding in linear algebra and multivariable calculus, and ideally a course on ordinary differential equations. Manifolds are introduced intrinsically in terms of coordinate patches glued by transition functions. The theory is presented as a natural continuation of multivariable calculus; the role of point-set topology is kept to a minimum. Questions sprinkled throughout the text engage students in active learning, and encourage classroom participation. Answers to these questions are provided at the end of the book, thus making it ideal for independent study. Material is further reinforced with homework problems ranging from straightforward to challenging. The book contains more material than can be covered in a single semester, and detailed suggestions for instructors are provided in the Preface.
A Comprehensive Introduction To Differential Geometry
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Author : Michael Spivak
language : en
Publisher:
Release Date : 1979
A Comprehensive Introduction To Differential Geometry written by Michael Spivak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.