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 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.
This lecture note explains the following topics: The integral:
properties and construction, Function spaces, Probability, Random walk and
martingales, Radon integrals.