An Invitation to Real Analysis

An Invitation to Real Analysis, 1st Edition, is an academic textbook developed for students taking a first course in real analysis. The work provides a structured framework for a one-semester curriculum, establishing foundational concepts in mathematical analysis.

The theoretical scope progresses from real numbers, sequences, and infinite series toward continuous functions. The text details differentiation and integration in tandem with the fundamental theorems of calculus, expanding to address exponential functions, circular functions, complex numbers, linear spaces, metric spaces, and approximation theorems.

To enhance clarity, the exposition combines algebraic and geometric perspectives across each topic. This dual approach provides balanced analytical practice for students embarking on higher-level mathematical coursework.