The following books are highly recommended for students pursuing studies in mathematics. I have personally read and used each of them, and can attest to their value in building a strong foundation in undergraduate-level mathematics
🎓 Books I Used as a Student
These texts were essential to my academic development in core undergraduate and graduate-level subjects:
Elementary Analysis: The Theory of Calculus by Kenneth A. Ross
An Introduction to Cryptography by William Wade
📘 Books I Use as a Teacher
These are the textbooks I’ve taught with across a range of mathematics courses:
Precalculus and Algebra
Precalculus (6th, 7th, 9th editions) by Blitzer
Precalculus (9th edition) by Larson
Algebra: Beginning and Intermediate
Calculus
Calculus (10th edition) by Larson
Calculus: Early Transcendentals by Briggs (Pearson)
Statistics
Elementary Statistics (13th and 14th editions) by Mario Triola
Quantitative Reasoning
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th and 8th editions)
Discrete Mathematics and Number Theory
Discrete Mathematics and Its Applications (8th edition) by Kenneth H. Rosen
Elementary Number Theory by Burton
Elementary Methods in Number Theory by Melvyn Nathanson
Mathematical Thinking
The Heart of Mathematics (3rd edition) by Burger and Starbird
Elements of Mathematics: From Euclid to Gödel
Mathematical Software
Getting Started with Maple
🔬 Books I Use for Research and Advanced Study
These books continue to support my work in number theory, real analysis, and stochastic processes:
Elementary Methods in Number Theory by Melvyn Nathanson
Real Analysis by H.L. Royden
Elementary Analysis: The Theory of Calculus by Kenneth A. Ross
Brownian Motion and Stochastic Calculus by Karatzas and Shreve
Stochastic Calculus for Finance II by Steven Shreve
Functional Data Analysis by Ramsay and Silverman
Stochastic Differential Equations by Øksendal