Calculus to Analysis by Arturo Portnoy

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Summary

This book addresses the analysis of functions of a real variable and transitions from the standard calculus sequence to mathematical analysis. The author presents the limits and convergence of sequences of functions, illustrates the limitations of the Riemann integral, and discusses the need for a new integral: the Lebesgue integral.

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Calculus to Analysis by Arturo Portnoy

This book addresses the analysis of functions of a real variable and transitions from the standard calculus sequence to mathematical analysis. The author presents the limits and convergence of sequences of functions, illustrates the limitations of the Riemann integral, and discusses the need for a new integral: the Lebesgue integral.

Arturo Portnoy, Ph.D., is a Professor of Mathematical Sciences at the University of Puerto Rico at Mayagüez.  He is also Co-Director of the Puerto Rico Mathematical Olympiads. He received his B.Sc. in Applied Mathematics at the Instituto Tecnológico Autónomo de México (1992) and his M.Sc. (1994) and Ph.D. (1997) at Rensselaer Polytechnic institute. His areas of interest include inverse problems, mathematical modeling, optimization, regularization, math education, and math Olympiads. He also explores the use of technology to increase efficiency, transparency, and consistency in teaching mathematics.

SKU Unavailable
ISBN 13 9783031696619
ISBN 10 3031696611
Title Calculus to Analysis
Author Arturo Portnoy
Series Synthesis Lectures On Mathematics And Statistics Ser
Condition Unavailable
Binding Type Hardback
Publisher Springer International Publishing AG
Year published 2024-11-18
Number of pages 119
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.