This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject.

This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject.

This book is the first of its kind to present applications in computer graphics, economics, dynamical systems, condensed matter physics, biology, robotics, chemistry, cosmology, material science, computational topology, and population ...

Praise for the Second Edition "This book is an excellent introduction to the wide field of boundary value problems."—Journal of Engineering Mathematics "No doubt this textbook will be useful for both students and research workers. ...

This book includes: Mathematical Ways of Thinking; Number Sequences; Functions and Their Graphs; Large Numbers and Logarithms; Symmetry and Regular Figures; Mathematical Curves; Methods of Counting; The Mathematics of Chance; An ...

A superb text on the fundamentals of Lebesgue measure and integration. This book is designed to give the reader a solid understanding of Lebesgue measure and integration.

The second edition of this text has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject.

The book also delves into more novel topics, including Abel’s theory of Abelian equations, the problem of expressing real roots by real radicals (the casus irreducibilis), and the Galois theory of origami.