Introduction to Calculus and Analysis (Volume - 2) (English, Paperback, Courant Richard 1888-1972)
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Introduction to Calculus and Analysis (Volume - 2) (English, Paperback, Courant Richard 1888-1972)
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Highlights
- Language: English
- Binding: Paperback
- Publisher: Springer, India, Private Ltd
- Genre: Mathematics
- ISBN: 9788181281692, 9788181281692
- Pages: 412
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Table of Contents
Relations Between Surface and Volume Integrals
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
- 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
- Functions and Their Extreme Values of a Functional
- Generalizations
- Problems Involving Subsidiary Conditions.
- Lagrange Multipliers
- 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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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.
READ MOREsupriya saha
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