Advanced Calculus

Theory and Practice
2. Auflage 2020
ISBN: 978-1-138-56821-1
Verlag: CRC Press

Buch, Englisch, 622 Seiten, Format (B × H): 180 mm x 257 mm, Gewicht: 1197 g

Reihe: Textbooks in Mathematics

Advanced Calculus: Theory and Practice, Second Edition,expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems.

Autoren/Hrsg.

Petrovic, John

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Real Numbers; Sequences and Their Limits; Continuity; The Derivative; The Indefinite Integral; The Definite Integral; Infinite Series; Sequences and Series of Functions; Fourier Series; Functions of Several Variables; Derivatives; Implicit Functions and Optimization; Integrals Depending on a Parameter; Integration in Rn, Fundamental Theorems; Solutions and Answers to Selected Problems; Bibliography; Subject Index; Author Index

Über Autor(innen)

John Srdjan Petrovic is a Professor at Western Michigan University.