Levi H. Polynomials, Power Series, and Calculus 1967 torrent

Textbook in PDF and DJVU formats

Preface
Background Material
Order and Absolute Values
Functions and Function Notation
Sequences
Some Polynomial Algebra
Polynomials
Polynomial Functions
Arithmetic Sequences and Polynomial Functions
The Algebra of Residues
Composition, Inverses, and the Extraction of Roots in Rn[x]
Functions Having Polynomial Approximations
Orders of Magnitude
Approximation by Polynomials
Continuous Functions
Derivatives
Applications Of The Derivative And Antideriv A Tive
Tangents: Maxima and Minima
Some Useful Theorems
Applications of the Antiderivative
Applications of the Derivative
Higher Derivatives; Taylor's Theorem
Infinite Sequences And Infinite Series
Convergence of Infinite Sequences
Cauchy Sequences
Infinite Series
Algebra of Power Series
Functions Defined By Power Series
Interval of Convergence
Analytic Functions
The Method of Undetermined Coefficients
Series Expansions Of The Elementary Functions
The Exponential Functions
Logarithms; the Binomial Theorem
Trigonometric Functions
Inverse Trigonometric Functions
Angle Measure and the Trigonometric Functions of Angles
Curvature and the Osculating Circle
Appendices
A. Some Peculiarities of Infinite Series
B. Other Notations for the Derivative and Differential
C. The Riemann Integral
Answers To Selected Exercises
Index