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The book "Single variable Differential and Integral Calculus" is an
interesting text book for students of mathematics and physics
programs, and a reference book for graduate students in any
engineering field. This book is unique in the field of mathematical
analysis in content and in style. It aims to define, compare and
discuss topics in single variable differential and integral
calculus, as well as giving application examples in important
business fields. Some elementary concepts such as the power of a
set, cardinality, measure theory, measurable functions are
introduced. It also covers real and complex numbers, vector spaces,
topological properties of sets, series and sequences of functions
(including complex-valued functions and functions of a complex
variable), polynomials and interpolation and extrema of functions.
Although analysis is based on the single variable models and
applications, theorems and examples are all set to be converted to
multi variable extensions. For example, Newton, Riemann, Stieltjes
and Lebesque integrals are studied together and compared.
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