Introduction to Calculus and Analysis (Volume - 2) by Richard Courant, Fritz John

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Book Summary of Introduction to Calculus and Analysis (Volume - 2)

Table of Contents
Relations Between Surface and Volume Integrals

• Connection Between Line Integrals and Double Integrals in the Plane
• Vector Form of the Divergence Theorem.
• Stokes's Theorem
• Formula for Integration by Parts in Two Dimensions: Green's Theorem
• The Divergence Theorem Applied to the Transformation of Double Integrals
• Area Differentiation
• Interpretation of the Formulae of Gauss and Stokes by Two-Dimensional Flows
• Orientation of Surfaces
• Integrals of Differential Forms and of Scalars over Surfaces
• Gauss's and Green's Theorems in Space
• Appendix: General Theory of Surfaces and of Surface Integrals

Differential Equations

• The Differential Equations for the Motion of a Particle in Three Dimensions
• The General Linear Differential Equation of the First Order
• Linear Differential Equations of Higher Order
• General Differential Equations of the First Order
• Systems of Differential Equations and Differential Equations of Higher Order
• Integration by the Method of Undermined Coefficients
• The Potential of Attracting Charges and Laplace's Equation
• Further Examples of Partial Differential Equations from Mathematical Physics

Calculus of Variations

• Functions and Their Extreme Values of a Functional
• Generalizations
• Problems Involving Subsidiary Conditions.
• Lagrange Multipliers

Functions of a Complex Variable

• Complex Functions Represented by Power Series
• Foundations of the General Theory of Functions of a Complex Variable
• The Integration of Analytic Functions
• Cauchy's Formula and Its Applications
• Applications to Complex Integration (Contour Integration)
• Many-Valued Functions and Analytic Extension
• List of Biographical Dates
• Index

Details of Book: Introduction to Calculus and Analysis (Volume - 2)

Book:	Introduction to Calculus and Analysis (Volume - 2)
Author:	Richard Courant, Fritz John
ISBN:	8181281691
ISBN-13:	9788181281692 ,  978-8181281692
Binding:	Paperback
Publishing Date:	1999
Publisher:	Springer India
Edition:	1stEdition
Number of Pages:	412
Language:	English