This
book consist as a first course in the calculus. In the treatment of each topic,
the text is intended to contain a precise statement of the fundamental principle
involved, and to insure the student's clear understanding of this principle,,
without districting his attention by the discussion of a multitude of details.
The contents of this book
include: Integrals, Applications of Integration, Differential Equations,
Infinite Sequences and Series, Hyperbolic Functions, Various Formulas, Table of
Integrals.
This graduate-level lecture
note covers Lebesgue's integration theory with applications to analysis,
including an introduction to convolution and the Fourier transform.
This note covers the
following topics: Elementary Integrals, Substitution, Trigonometric integrals,
Integration by parts, Trigonometric substitutions, Partial Fractions.
This book describes the following
topics: Elementary functions and their classification, The integration of
elementary functions, The integration of rational functions, The integration of
algebraical functions and The integration of transcendental functions.