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Apostol T.M. Calculus. Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra

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Apostol T.M. Calculus. Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra
2nd Edition. — John Wiley & Sons, Inc., 1967. — 686 p.
The concepts of integral calculus
Some applications of integration
Continuous functions
Differential calculus
The relation between integration and differentiation
The logarithm, the exponential, and the inverse trigonometric functions
Polynomial approximations to functions
Introduction to differential equations
Complex numbers
Sequences, infinite series, improper integrals
Sequences and series of functions
Vector algebra
Applications of vector algebra to analytic geometry
Calculus of vector valued functions
Linear spaces
Linear transformations and matrices
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