خرید و دانلود نسخه کامل کتاب Real Analysis for the Undergraduate: With an Invitation to Functional Analysis

This  undergraduate textbook introduces students to the basics of real  analysis, provides an introduction to more advanced topics including  measure theory and Lebesgue integration, and offers an invitation to  functional analysis. While these advanced topics are not typically  encountered until graduate study, the text is designed for the beginner.  The author’s engaging style makes advanced topics approachable without  sacrificing rigor. The text also consistently encourages the reader to  pick up a pencil and take an active part in the learning process. Key  features include: – examples to reinforce theory; – thorough  explanations preceding definitions, theorems and formal proofs; –  illustrations to support intuition; – over 450 exercises designed to  develop connections between the concrete and abstract. This text takes  students on a journey through the basics of real analysis and provides  those who wish to delve deeper the opportunity to experience  mathematical ideas that are beyond the standard undergraduate  curriculum.