Introduction to integral calculus: systematic studies with engineering applications for beginners

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 allowfor the areas of polygons to becalculated, 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 authorsalso usethis 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. INDICE: Chapter One. Anti-derivative(s) [or Indefinite Integral(s)]. Chapter Two. Integration Using Trigonometric Identities. Chapter Three. (a): Integration by Substitution (Change of Variable of Integration). Chapter Three. (b):Further Integration by Substitution. Chapter Four. (a): Integration by Parts.Chapter Four. (b): Further Integration by Parts. Chapter Five. The Definite Integral (The Concept of Area). Chapter Six. (a): The Fundamental Theorems of the Calculus. Chapter Six. (b): The Integral Function XXX Identified as In x orlog e x. Chapter Seven. (a): Methods for Evaluating Definite Integrals. Chapter Seven. (b): Properties of Definite Integrals. Chapter Eight. (a): Applying the Definite Integral to Computing the Area o a Plane Figure. Chapter Eight. (b): Applying the Definite Integral to Find the Length(s) of Arc(s) of Curve, the Volume(s) of Solid(s)of Revolution, and the Area(s) of Surface(s) of Solid(s) of Revolution. Chapter Nine. (a): Differential Equations, Related Concepts,and Terminology. Chapter Nine. (b): Methods of Solving Ordinary Differential Equations of the First Order and First Degree.

• ISBN: 978-1-118-11776-7
• Editorial: John Wiley & Sons
• Encuadernacion: Cartoné
• Páginas: 432
• Fecha Publicación: 21/10/2011
• Nº Volúmenes: 1
• Idioma: Inglés