01589cam a2200169 i 4500008004100000020001800041082002100059100002200080245003400102250001200136260003200148300001800180440002900198520113400227650003201361650002601393130523s2014 flua b 001 0 eng a978146658731100a515.8bK7R3-20141 aKrantz, Steven G.10aReal analysis and foundations a3rd ed. aBoca RatonbCRC Pressc2014 axviii, 412 p. aTextbooks in Mathematics aA Readable yet Rigorous Approach to an Essential Part of Mathematical Thinking
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.
New to the Third Edition
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.
Extensive Examples and Thorough Explanations Cultivate an In-Depth Understanding
This best-selling book continues to give students a solid foundation in mathematical analysis and its applications. It prepares them for further exploration of measure theory, functional analysis, harmonic analysis, and beyond. 0aFunctions of real variables 0aMathematical analysis