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Transition to analysis with proof
Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a single course where two were offered.The text opens with an introduction to basic logic and set theory, setting students up to succeed in the study of analysis. Each section is followed by graduated exercises that both guide and challenge students. The author includes examples and illustrations that appeal to the visual side of analysis. The accessible structure of the book makes it an ideal refence for later years of study or professional work.
https://www.crcpress.com/Transition-to-Analysis-with-Proof/Krantz/p/book/9781138064065
ISBN:9781138064065
http://vslopac.iima.ac.in//cgi-bin/koha/opac-detail.pl?biblionumber=211365

By Krantz, Steven G..
New York CRC Press 2018
. xiv, 347p.
With index.
9781138064065

]]>http://vslopac.iima.ac.in//cgi-bin/koha/opac-detail.pl?biblionumber=211365
Real analysis and foundations
A 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.
ISBN:9781466587311
http://vslopac.iima.ac.in//cgi-bin/koha/opac-detail.pl?biblionumber=181400

By Krantz, Steven G..
Boca Raton CRC Press 2014
. xviii, 412 p.
9781466587311