Real Analysis and Foundations, 3rd Edition

Description

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