Calculus to Analysis: An Introductory Transition

Name: Calculus to Analysis: An Introductory Transition
Brand: Springer
SKU: 9783031696640
Price: 3202.0 INR
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by Arturo Portnoy

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ISBN13: 9783031696640
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: November 18, 2025
Pages: 133
Original Price: EUR 43.59
Language: English
Edition: N/A
Item Weight: 267 grams
BISAC Subject(s): Mathematical Analysis

About The Book

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. The fundamental concepts of the theory of calculus of one variable is presented in addition to limits, continuity, derivatives and its applications, and integrals and their applications. The tone and language of the book is kept as informal as possible along with the descriptions and examples to aid learning. The book is concise and presents single variable advanced calculus leading up to Fourier analysis. In addition, the book sets up sufficient background for a course in measure theory and Lebesgue integration.

About The Author

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.

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