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Advanced calculus and vector field theory

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Advanced Calculus and Vector Field Theory.

Bibliographic Details
Main Author: Urwin, Kathleen M.
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Language Notes:English.
Published: Oxford, New York, Pergamon Press [1966]
Edition:[1st ed.].
Series:Commonwealth and international library. Higher mathematics for scientists and engineers.
Subjects:
Calculus.
Vector analysis.
Calcul infinitésimal.
Analyse vectorielle.
calculus.
Calculus
Vector analysis
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Front Cover; Advanced Calculus and Vector Field Theory; Copyright Page; Table of Contents; FOREWORD; PREFACE; CHAPTER 1. INTRODUCTION; 1:1 Introduction; 1:2 Partial differentiation; 1:3 Taylor's Theorem; 1:4 Vector algebra; CHAPTER 2. FUNCTIONS OF SEVERAL INDEPENDENT VARIABLES; 2:1 The Chain Rule; 2:2 Change of Variable; 2:3 The use of equivalent operators; 2:4 Two important transformations; 2:5 Total differentials and their use; 2:6 Jacobians; CHAPTER 3. LINE INTEGRALS; 3:1 Line integrals in two dimensions; 3:2 Condition for independence of the path of integration
  • 7:7 Gradient, divergence and curl in curvilinear systems7:8 Two important curvilinear systems; CHAPTER 8. APPLICATIONS OF VECTOR FIELD THEORY; 8:1 Introduction; 8:2 Hydrodynamics; 8:3 Newtonian gravitational attraction; 8:4 Electrostatics; 8:5 Magnetostatics; 8:6 Electromagnetism; ANSWERS TO EXERCISES; INDEX