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The Lebesgue Integral
Using the Daniell–Riesz approach, this text presents the Lebesgue integral at a level accessible to an audience familiar only with limits, derivatives and series. Employing such …
A Century of Advancing Mathematics
The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, …
Problems from Murray Klamkin: The Canadian Collection
When one thinks of mathematical problems posed over the past 30 years, one name automatically leaps to the fore - Murray Klamkin. In this book Andy Liu and Bruce Shawyer present …
Mathematical Circles
For many years, famed mathematics historian and master teacher Howard Eves collected stories and anecdotes about mathematics and mathematicians, gathering them together in six …
Arithmetical Wonderland
Many students find mathematics a daunting subject. Yet, in this unorthodox textbook, Liu brings a whole new clarity to arithmetic, making it a perfect resource for any budding …
A Mathematical Space Odyssey
Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. This book presents techniques for proving a variety of geometric …
When Less Is More
Inequalities permeate mathematics, from the Elements of Euclid to operations research and financial mathematics. Yet too often the emphasis is on things equal to one another rather …
Randomness and Recurrence in Dynamical Systems
Randomness and Recurrence in Dynamical Systems makes accessible, at the undergraduate or beginning graduate level, results and ideas on averaging, randomness and recurrence that …
Varieties of Integration
By the first year of graduate school, a young mathematician will have encountered at least three separate definitions of the integral. The associated integrals are typically …
A Guide to Advanced Real Analysis
This concise guide to real analysis covers the core material of a graduate level real analysis course. On the abstract level, it covers the theory of measure and integration and …