Elementary Real Analysis: A Practical Introduction

• Lays a strong foundation for success in first real analysis courses, presenting traditional material in a contemporary and engaging manner
• Introduces essential concepts and relevant background knowledge with an accessible approach
• Caters to junior and senior undergraduate mathematics students who have completed calculus and linear algebra, as well as early graduate-level students seeking deeper insights
• Fills the gap between basic principles and advanced mathematical concepts, ensuring clarity and precision for transitioning to rigorous analysis
• Includes a variety of exercises in each chapter, promoting exploration and practice of key topics to reinforce understanding and foster independent learning

Professor Thomas Bieske earned his PhD from the University of Pittsburgh, United States, in 1999. His research concerns partial differential equations and analysis in metric spaces, with a focus on sub-Riemannian spaces. Professor Bieske is currently serving as the Department of Mathematics and Statistics Chair of the Undergraduate Committee-Upper Level, focusing on the performance of mathematics and statistics majors in upper-level courses, at the University of South Florida, Tampa, United States.