Introduction to Mathematical Analysis

• Main Authors: Kriz, Igor (Author), Pultr, Aleš (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Subjects: Mathematics.; Matrix theory.; Algebra.; Functions of complex variables.; Measure theory.; Differential equations.; Functions of real variables.; Sequences (Mathematics).; Real Functions.; Linear and Multilinear Algebras, Matrix Theory.; Measure and Integration.; Functions of a Complex Variable.; Ordinary Differential Equations.; Sequences, Series, Summability.

The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topolog...