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Springer, India, Private Ltd Mathematics and Science Books

Introduction to Calculus and Analysis (Volume - 2) (English, Paperback, Courant Richard 1888-1972)

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Author

Courant Richard 1888-1972

Highlights

Language: English
Binding: Paperback
Publisher: Springer, India, Private Ltd
Genre: Mathematics
ISBN: 9788181281692, 9788181281692
Pages: 412

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Description

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

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Book Details

Imprint

Springer, India, Private Ltd

University Books Details

Specialization

Chemical Engineering, Aeronautical Engineering, Biotechnology, Civil Engineering, Electronics and Communication Engineering, Information Technology Engineering, Computer Science Engineering, Electrical Engineering, Mechanical Engineering

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Ratings & Reviews

4.3

★

9 Ratings &

1 Reviews

5★
4★
3★
2★
1★

good book

I am really amazed with this book..so good for students want to larn mathematics, as a student i have been inspired by the book greatly.

supriya saha

Certified Buyer, Kolkata

Jan, 2015

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