A Course in Calculus and Real Analysis

• Κύριοι συγγραφείς: Ghorpade, Sudhir R. (Συγγραφέας), Limaye, Balmohan V. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2006.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functions of real variables.; Sequences (Mathematics).; Analysis.; Real Functions.; Sequences, Series, Summability.

This book provides a self-contained and rigorous introduction to calculus of functions of one variable. The presentation and sequencing of topics emphasizes the structural development of calculus. At the same time, due importance is given to computational techniques and applications. The authors hav...

Πίνακας περιεχομένων:

• Numbers and Functions
• Sequences
• Continuity and Limits
• Differentiation
• Applications of Differentiation
• Integration
• Elementary Transcendental Functions
• Applications and Approximations of Riemann Integrals
• Infinite Series and Improper Integrals.