Elementary Analysis (2nd Ed., 2nd ed. 2013) The Theory of Calculus Undergraduate Texts in Mathematics Series
Auteur : Ross Kenneth A.
For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging.
The second edition preserves the book?s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.
Kenneth A. Ross is currently an emeritus professor of mathematics at the University of Oregon.
Jorge M. López is currently professor of mathematics at the University of Puerto Rico.
Revised and updated second edition with new material
Text for a transition course between calculus and more advanced analysis courses
Contains new material on topics such as irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions
Includes new examples and improved proofs
Includes supplementary material: sn.pub/extras
Date de parution : 02-2015
Ouvrage de 412 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 47,46 €
Ajouter au panierDate de parution : 04-2013
Ouvrage de 412 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 47,46 €
Ajouter au panierMots-clés :
Bolzano-Weierstrass theorem; L'Hospital's rule; Riemann integral; Riemann-Stieltjes integral; Taylor's theorem; continuous functions; differentiation; elementary analysis; fundamental theorem of calculus; integration; limits of sequences; mean value theorem; monotone subsequences; nowhere-differentiable functions; power series; rational zeros theorem