Single Variable Differential and Integral Calculus: Mathematical Analysis (Hardcover) (ISBN-13: 9789491216855)

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.

Author: Elimhan Mahmudov
ISBN-10: 9491216856
ISBN-13: 9789491216855
Publisher: Atlantis Press
Language: English
Published: 04/04/2013
Pages: 373
Format: Hardcover
Weight: 1.59lbs
Size: 9.21h x 6.14w x 0.88d