1st Edition

Limits and Derivatives of Real Functions for Physicists

By Nicolas A. Pereyra Copyright 2026
622 Pages 61 B/W Illustrations
by CRC Press

622 Pages 61 B/W Illustrations
by CRC Press

Limits and Derivatives of Real Functions for Physicists  offers a comprehensive and rigorous exploration of essential calculus concepts, specifically tailored for physics majors. This book provides an in-depth introduction to the limits and derivatives of real functions, with a strong emphasis on practical applications in physics. The book demystifies the "why" behind calculus principles,... Read more

Chapter 1 Review of Logic, Set Theory, Isomorphism, and Natural Numbers. 

Chapter 2 Review of Integers, Rational Numbers, and Real Numbers .  

Chapter 3 Review of Convergent Real Number Sequences and Real Exponentiation

Chapter 4 Review of Trigonometric Functions 

Chapter 5 Additional Properties of Trigonometric Functions

Chapter 6 Intervals and Regions in R

Chapter 7 Limit L of Real Functions when x→a (or x→a− or x→a+) 

Chapter 8 Limit L of Real Functions when x→¥ (or x→−¥ or x→+¥) 

Chapter 9 When the Limit of Real Functions is ¥ (or −¥ or +¥)

Chapter 10 Additional Properties of Limits 

Chapter 11 Continuous Functions

Chapter 12 Derivatives of Real Functions

Chapter 13 Additional Properties of Derivatives

Chapter 14 Derivatives of Exponential and Logarithmic Functions 

Chapter 15 Derivatives of Trigonometric Functions

Chapter 16 Analysis of Differentiable Functions

Biography

Dr Nicolas Pereyra pursued his undergraduate studies in Physics in Caracas at the Universidad Central de Venezuela, where he graduated in 1991. Following this, he studied Physics at University of Maryland at College Park where he obtained his MS and PhD in 1995 and 1997. Currently, Dr Pereyra is a Professor in Astrophysics at the Physics and Astronomy Department of the University of Texas Rio Grande Valley. Dr Pereyra's research work has been largely in the development of computational models of physical systems.