Elucidates abstract concepts and salient points in proofs with over 150 detailed illustrations
Treats the rigorous foundations of both single and multivariable Calculus
Gives an intuitive presentation of Lebesgue integration using the undergraph approach of Burkill
Includes over 500 exercises that are interesting and thought-provoking, not merely routine
Rezensionen / Stimmen
"This book, in its second edition, provides the basic concepts of real analysis. ... I strongly recommend it to everyone who wishes to study real mathematical analysis." (Catalin Barbu, zbMATH 1329.26003, 2016)
Reihe
Auflage
2nd ed. 2015, Corr. 2nd printing 2017
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Für Beruf und Forschung
Upper undergraduate
Editions-Typ
Illustrationen
1
1 farbige Abbildung
XI, 478 p. 1 illus. in color.
Maße
Höhe: 260 mm
Breite: 183 mm
Dicke: 32 mm
Gewicht
ISBN-13
978-3-319-17770-0 (9783319177700)
DOI
10.1007/978-3-319-17771-7
Schweitzer Klassifikation
Charles C. Pugh is Professor Emeritus at the University of California, Berkeley. His research interests include geometry and topology, dynamical systems, and normal hyperbolicity.
Real Numbers.- A Taste of Topology.- Functions of a Real Variable.- Function Spaces.- Multivariable Calculus.- Lebesgue Theory.
