The purpose of the volume is to provide a support textbook for a second lecture course on
Mathematical Analysis. The contents are organised to suit in particular students of
Engineering Computer Science and Physics all areas in which mathematical tools play a crucial
role. The basic notions and methods concerning integral and differential calculus for
multivariable functions series of functions and ordinary differential equations are presented
in a manner that elicits critical reading and prompts a hands-on approach to concrete
applications. The pedagogical layout echoes the one used in the companion text Mathematical
Analysis I. The book's structure has a specifically-designed modular nature which allows for
great flexibility in the preparation of a lecture course on Mathematical Analysis. The style
privileges clarity in the exposition and a linear progression through the theory. The material
is organised on two levels. The first reflected in this book allows students to grasp the
essential ideas familiarise with the corresponding key techniques and find the proofs of the
main results. The second level enables the strongly motivated reader to explore further into
the subject by studying also the material contained in the appendices. Definitions are
enriched by many examples which illustrate the properties discussed. A host of solved
exercises complete the text at least half of which guide the reader to the solution. This new
edition features additional material with the aim of matching the widest range of educational
choices for a second course of Mathematical Analysis.
