Differential Geometry /

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This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry. It is self-contained, requiring only a knowledge of the calculus. The material is presented in a simple and understandable but rigorous mann...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kreyszig, Erwin (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Toronto : University of Toronto Press, [2019]
Colección:Heritage
Temas:
Geometry, Differential.
MATHEMATICS / Geometry / Differential.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • PREFACE
  • CONTENTS
  • CHAPTER I. PRELIMINARIES
  • CHAPTER II. THEORY OF CURVES
  • CHAPTER III. CONCEPT OF A SURFACE. FIRST FUNDAMENTAL FORM. FOUNDATIONS OF TENSOR CALCULUS
  • CHAPTER IV. SECOND FUNDAMENTAL FORM. GAUSSIAN AND MEAN CURVATURE OF A SURFACE
  • CHAPTER V. GEODESIC CURVATURE AND GEODESICS
  • CHAPTER VI. MAPPINGS
  • CHAPTER VII. ABSOLUTE DIFFERENTIATION AND PARALLEL DISPLACEMENT
  • CHAPTER VIII. SPECIAL SURFACES
  • SUPPLEMENTARY PROBLEMS
  • ANSWERS TO PROBLEMS
  • ANSWERS TO ODD-NUMBERED SUPPLEMENTARY PROBLEMS
  • COLLECTION OF FORMULAE
  • BIBLIOGRAPHY
  • INDEX

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