




Geometric Problems on Maxima and MinimaQuestions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a...   Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics)
In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes’ theorem. The result is...   The History of Approximation Theory: From Euler to BernsteinThe problem of approximating a given quantity is one of the oldest challenges faced by mathematicians. Its increasing importance in contemporary mathematics has created an entirely new area known as Approximation Theory. The modern theory was initially developed along two divergent schools of thought: the Eastern or Russian group, employing... 

Fourier Analysis on Finite Abelian Groups (Applied and Numerical Harmonic Analysis)Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, algorithms and sequence design. This unified, selfcontained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform...   Data Modeling for Metrology and Testing in Measurement ScienceThis book and companion DVD provide a comprehensive set of modeling methods for data and uncertainty analysis, taking readers beyond mainstream methods described in standard texts. The emphasis throughout is on techniques having a broad range of realworld applications in measurement science. Mainstream methods of data modeling and analysis...   Mathematical Olympiad ChallengesThis significantly revised and expanded second edition of "Mathematical Olympiad Challenges" is a rich collection of problems put together by two experienced and wellknown professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry,... 



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