Calculus to Analysis

An Introductory Transition

AvArturo Portnoy

Inbunden, Engelska, 2024

Del i serien Synthesis Lectures on Mathematics & Statistics

482 kr

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Häftad

482 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2024-11-18
Mått:168 x 240 x 13 mm
Vikt:416 g
Format:Inbunden
Språk:Engelska
Serie:Synthesis Lectures on Mathematics & Statistics
Antal sidor:119
Förlag:Springer International Publishing AG
ISBN:9783031696619

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Mer om författaren

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.

Innehållsförteckning

Preface.- The Fundamentals.- Sequences, Limits, and Series.- Continuous Functions.- Differentiable Functions.- The Riemann Integral.- Sequences of Functions and their Convergence.- Fourier Series I.- Fourier Series II.- Conclusions.