"Krantz is a very prolific writer. He ...creates excellent examples and problem sets." -Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USA Designed for a one- or two-semester undergraduate course, Differential Equations:[...]

MULTIPLY your chances of understanding DISCRETE MATHEMATICS If you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essenti[...]

Krantz takes the reader on a journey around the globe and through centuries of history , exploring the many transformations that mathematical proof has undergone from its inception at the time of Euclid and Pythagoras to its versatile, present-day use . The author elaborates on the beauty, challenge[...]

A classic calculus text which fits well with most universities course sequence. Features: Clear writing and extensive examples make this book accessible to all students. Blank and Krantz's engaging style makes the language of mathematics understandable and enjoyable.[...]

Geometric measure theory has roots going back to ancient Greek mathematics, for considerations of the isoperimetric problem (to ?nd the planar domain of given perimeter having greatest area) led naturally to questions about spatial regions and boundaries. In more modern times, the Plateau problem is[...]

Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direc[...]

A concise introduction to topology to ground students in the basic ideas and techniques of the subject.[...]

"Preface to the Third Edition On the whole, we have retained the content and character of the first two editions. But we have added material on point-set topology (Chapter 8), on theoretical computer science (Chapter 9), on the P/NP problem (Chapter 10),and on zero-knowledge proofs and RSA encryptio[...]

Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and importa[...]

Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and oth[...]