Differential Calculus (Text Book) PDF
276 Pages·2021·3.7412 MB·other
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CONTENTS- Solutions B.Sc. Mathematics-V, Book-1 LINEAR ALGEBRA
1. Linear Transformations
2. Matrices and Linear Transformations
3. Linear Functionals and Dual Space
4. Eigenvalues and Eigenvectors
5. Bilinear and Quadratic Forms
Book-2 COMPLEX ANALYSIS
1. Functions of a Complex Variable
2. Analytic Functions
3. Complex Integration
4. Poles, Zeros and Singularities
5. The Calculus of Residues
Book-3 FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DIFFERENTIAL EQUATIONS
1. Partial Differentiation
2. Jacobians
3. Maxima and Minima (of Functions of Several Independent Variables)
4. Limit and Continuity of Functions of Several Variables
5. Partial Derivation and Differentiability of Functions of Several Variables
6. Partial Differential Equations of the First Order
7. Linear Partial Differential Equations with Constant Coefficients
1. Linear Transformations
2. Matrices and Linear Transformations
3. Linear Functionals and Dual Space
4. Eigenvalues and Eigenvectors
5. Bilinear and Quadratic Forms
Book-2 COMPLEX ANALYSIS
1. Functions of a Complex Variable
2. Analytic Functions
3. Complex Integration
4. Poles, Zeros and Singularities
5. The Calculus of Residues
Book-3 FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DIFFERENTIAL EQUATIONS
1. Partial Differentiation
2. Jacobians
3. Maxima and Minima (of Functions of Several Independent Variables)
4. Limit and Continuity of Functions of Several Variables
5. Partial Derivation and Differentiability of Functions of Several Variables
6. Partial Differential Equations of the First Order
7. Linear Partial Differential Equations with Constant Coefficients
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