Calculus

Introduction to Integral Calculus: Systematic Studies with Engineering Applications for Beginners

Name: Introduction to Integral Calculus: Systematic Studies with Engineering Applications for Beginners
Author: Ulrich L. Rohde
ISBN: 9781118117767

by Ulrich L. Rohde, G. C. Jain, Ajay K. Poddar, A. K. Ghosh

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Overview

This book explores the integral calculus and its plentiful applications in engineering and the physical sciences. The authors aim to develop a basic understanding of integral calculus combined with scientific problems, and throughout, the book details the numerous applications of calculus as well as presents the topic as a deep, rich, intellectual achievement. The needed fundamental information is presented in addition to plentiful references, exercises, and examples. The definition of an integral is motivated by the familiar notion of area. Although the methods of plane geometry allow for the areas of polygons to be calculated, they do not provide ways of finding the area of plane regions whose boundaries are curves other than circles. By means of the integral, the areas of many such regions can be found. The authors also use this definition to calculate volumes and length of curves etc. Topical coverage includes anti-differentiation; integration of trigonometric functions; integration by substitution; methods of substitution; the definite integral; methods for evaluating definite integrals; differential equations and their solutions; and ordinary differential equations of first order and first degree.

About the Author, Ulrich L. Rohde

ULRICH L. ROHDE, PhD, ScD, Dr-Ing, is Chairman of Synergy Microwave Corporation, President of Communications Consulting Corporation, and a Partner of Rohde & Schwarz. A Fellow of the IEEE, Professor Rohde holds several patents and has published more than 200 scientific papers.

G. C. JAIN, B.Sc., is a retired scientist from the Defense Research and Development Organization in India.

AJAY K. PODDAR, PhD, is Chief Scientist at Synergy Microwave Corporation. A Senior Member of the IEEE, Dr. Poddar holds several dozen patents and has published more than 180 scientific papers.

A. K. GHOSH, PhD, is Professor in the Department of Aerospace Engineering at the IIT Kanpur, India. He has published more than 120 scientific papers.

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Editorials

From the Publisher

“Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.” (Zentralblatt MATH, 2012)

“Long on examples but often short of exercises, this work might best be used as a reference source. Summing Up: Recommended. Lower-and upper-division undergraduates.” (Choice, 1 September 2012)