Books like Introductory Mathematical Analysis by Ernest F. Haeussler

James Stewart's CALCULUS texts are renowned for their precision, clarity, and effectiveness in teaching calculus to students worldwide.

Advanced Engineering Mathematics, by Erwin Kreyszig, is a foundational textbook for mechanical, electrical, civil, and chemical engineering students, covering differential equations, mathematical physics, and applied analysis.

An accessible guide to mathematics designed for beginners, students, teachers, philosophers, and engineers, offering systematic exposition and practical insights into the mathematical world.

A comprehensive bridge from elementary calculus to advanced real and complex function theory, this textbook introduces the abstract reasoning characteristic of modern mathematical analysis.

Introduction to the Problems in Analysis outlines an elementary, one semester course which exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Does the Cantor set contain any irrational numbers? Can the set of points where a function is discontinuous be arbitrary? Can the rational numbers be written as a countable intersection of open sets? Is an infinitely differentiable function necessarily the limit of its Taylor series? Giving these topics center stage, the motivation for a rigorous approach is justified by the fact that they are inaccessible without it.

A Beginners choice for learning Real Analysis.

Covering the subject in an informal way, this book aims to demonstrate the relevance of mathematics as quickly and as painlessly as possible.