Advanced Calculus
Theory and Practice
2nd Edition
Published on 5. August 2020
622 pages
978-1-351-33949-0 (ISBN)
Description
Advanced Calculus: Theory and Practice, Second Edition 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.
Features of the Second Edition:
Improved Organization. Chapters are reorganized to address common preferences.
Enhanced Coverage of Axiomatic Systems. A section is added to include Peano's system of axioms for the set of natural numbers and their use in developing the well-known properties of the set N.
Expanded and Organized Exercise Collection. There are close to 1,000 new exercises, many of them with solutions or hints. Exercises are classified based on the level of di?culty. Computation-oriented exercises are paired and solutions or hints provided for the odd-numbered questions.
Enrichment Material. Historical facts and biographies of over 60 mathematicians.
Illustrations. Thirty-five new illustrations are added in order to guide students through examples or proofs.
About the Author:
John Srdjan Petrovic is a professor at Western Michigan University.
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.
Features of the Second Edition:
Improved Organization. Chapters are reorganized to address common preferences.
Enhanced Coverage of Axiomatic Systems. A section is added to include Peano's system of axioms for the set of natural numbers and their use in developing the well-known properties of the set N.
Expanded and Organized Exercise Collection. There are close to 1,000 new exercises, many of them with solutions or hints. Exercises are classified based on the level of di?culty. Computation-oriented exercises are paired and solutions or hints provided for the odd-numbered questions.
Enrichment Material. Historical facts and biographies of over 60 mathematicians.
Illustrations. Thirty-five new illustrations are added in order to guide students through examples or proofs.
About the Author:
John Srdjan Petrovic is a professor at Western Michigan University.
More details
Series
Edition
2nd edition
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Illustrations
25 Illustrations, black and white
ISBN-13
978-1-351-33949-0 (9781351339490)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
02/2023
2nd Edition
Chapman & Hall/CRC
€116.10
Shipment within 10-20 days
Book
08/2020
2nd Edition
CRC Press
€169.40
Shipment within 10-20 days
Person
John Srdjan Petrovic is a Professor at Western Michigan University.
Content
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
