Advanced calculus: theory and practice
Offers a text for a one- or two-semester course on advanced calculus or analysis. 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 have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas …
Read More ↓Title Statements
- Full title :Advanced calculus : theory and practice / by John Srdjan Petrovic.
Summary
Offers a text for a one- or two-semester course on advanced calculus or analysis. 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 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.
Read More ↓Edition Statements
- Publication Date:2021
- Edition:Second edition
Publication Statements
- Publisher(s):CRC, an imprint of Taylor & Francis
- Place of Publication:Boca Raton, FL
- Language:eng
- Publication Date:2021
Notes
Previous edition: 2014.
The Physical Object
- Description:1 online resource : : illustrations (black and white)
Edition Identifiers
- ISBN:9780203705148, 0203705149, 9781482220438, 1482220431, 9781351339476, 1351339478, 9781351339490, 1351339494, 9781351339483, 1351339486
- oclc:on1190650154
- LC Classification:QA303.2
- Dewey Decimal:515
Table of Contents
Real numbers -- Sequences and their limits -- Continuity -- Derivative -- Indefinite integral -- Definite integral -- Infinite series -- Sequences and series of functions -- Fourier series -- Functions of several variables -- Derivatives of functions of several variables -- Implicit functions and optimization -- Integrals depending on a parameter -- Integration in R₀-- -- Fundamental theorems of multivariable calculus -- Solutions and answers to selected exercises.
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