The modular approach and richness of content ensure that the book meets the needs of a variety of courses.

... mathematics that yields a surprising result , or opens a new window on a classical topic . Here are some examples : 5.1 . The existence of Green's function for the Laplace equation Let G be a domain in the plane with a smooth boundary B ...

This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff.

This is an open textbook covering a two-quarter pre-calculus sequence including trigonometry.

Comprehensively reviewing previous research and recent developments, this book: Provides suggestions on how to choose a window function for particular applications Discusses Fourier analysis techniques and pitfalls in the computation of the ...

This book presents some of the most important modeling and prediction techniques, along with relevant applications.

This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields.

The topics of this text line up closely with traditional teaching progression; however, the book also highlights computer-intensive approaches to motivate the more traditional approach.

Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency.