Real Analysis and Foundations, 3rd Edition

Back by popular demand, Real Analysis and Foundations, Third Edition bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Along with the basic material, the text covers Riemann-Stieltjes integrals, Fourier analysis, metric spaces and applications, and differential equations. Offering a more streamlined presentation, this edition moves elementary number systems and set theory and logic to appendices and removes the material on wavelet theory, measure theory, differential forms, and the method of characteristics. It also adds a chapter on normed linear spaces and includes more examples and varying levels of exercises. Features • Presents a clear, thorough treatment of the theorems and concepts of real analysis • Includes a new chapter on normed linear spaces • Provides more examples throughout the text and additional exercises at the end of each section • Designates challenging exercises with an asterisk With extensive examples and thorough explanations, this best-selling book continues to give you a solid foundation in mathematical analysis and its applications. It prepares you for further exploration of measure theory, functional analysis, harmonic analysis, and beyond.