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.
