Advanced Calculus

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Courier Corporation, Oct 16, 2012 - Mathematics - 432 pages
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This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.
The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text.

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About the author (2012)

Baltazar Aguda is currently associate professor of Genetics & Genomics at the Boston University
School of Medicine. He holds joint appointments in Biomedical Engineering, in the Bioinformatics
& Systems Biology program at Boston University, and a membership in the Center for Biodynamics
in the same university. Recently, he was appointed member of the National Science
Foundation's (NSF, USA) research proposal review panel in molecular & cellular biosciences
(2004-7). He was a visiting faculty at the Mathematical Biosciences Institute at Ohio State University
(2003), at the Weizmann Institute of Science in Israel (2000), and a visiting associate at
the California Institute of Technology (2000-2001). Dr. Aguda obtained his PhD in Chemistry
(Chemical Physics Program) from the University of Alberta in Canada (1986), and was a tenured
faculty member of the Department of Chemistry & Biochemistry at Laurentian University in
Canada (1994-2002) before moving to Boston. Avner Friedman is a Distinguished Professor of Mathematics and Physical Sciences at
the Ohio State University, where he also serves as the Director of the Mathematical Biosciences
Institute. He received his Ph.D. degree in 1956 from the Hebrew University.
He was Professor of Mathematics at Northwestern University (1962-1985), and a Duncan
Distinguished Professor of Mathematics at Purdue University (1985-1987).

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