The Definite Integral
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Definite Integral Made Easy
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Author : Deepak Bhardwaj
language : en
Publisher: Firewall Media
Release Date : 2008
Definite Integral Made Easy written by Deepak Bhardwaj and has been published by Firewall Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Definite integrals categories.
The Definite Integral
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Author : Grigoriĭ Mikhaĭlovich Fikhtengolʹt︠s︡
language : en
Publisher: M.E. Sharpe
Release Date : 1973
The Definite Integral written by Grigoriĭ Mikhaĭlovich Fikhtengolʹt︠s︡ and has been published by M.E. Sharpe this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Integrals Vol 2
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Author : Demetrios P. KANOUSSIS
language : en
Publisher:
Release Date : 2018-10-15
Integrals Vol 2 written by Demetrios P. KANOUSSIS and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-15 with categories.
In solving various problems in Engineering, Physics and Geometry we have to sum up an infinite number of infinitesimal quantities (summands). This leads to the notion of the Definite Integral which is one of the most important concepts in Mathematics.Archimedes (287-211 BC) the great Greek Mathematician and Engineer of antiquity, using his famous "method of exhaustion" was able to evaluate areas of curvilinear plane figures. This method is considered to be the precursor of the contemporary Integral Calculus, discovered independently by Newton (1642-1726) and Leibniz (1646-1716) in the mid-17th century. Indefinite Integrals are studied in considerable depth and extent in my e book "Integrals, Vol. 1, The Indefinite Integral". In this volume we study the "Definite Integral" which is connected to the Indefinite Integral by the so called "The fundamental Theorem of Integral Calculus, (The Newton-Leibniz Theorem)"This book is applications oriented and has been designed to be an excellent supplementary book for University and College students in all areas of Mathematics, Physics and Engineering.The content of the book is divided into 20 chapters as shown analytically in the Table of Contents.In the first five chapters we consider some examples leading directly to the "heart" of the notion of the Definite Integral and study some fundamental properties of the integrals, i.e. integrating finite sums of functions, integrating inequalities, The Mean Value Theorem of Integral Calculus, etc.In chapter 6 we state and prove the two Fundamental Theorems of Integral Calculus.In chapter 7 we develop methods of evaluating Definite Integrals with the aid of the corresponding Indefinite Integrals or by the powerful method of substitution.In chapter 8 we study the integration of complex functions of real arguments.In chapter 9 we define the mean or average value of a function over some finite interval and derive the fundamental formula for the mean value in terms of a definite integral.Chapters 10 and 11 are devoted to the estimation of sums by definite integrals and the definite integrals of even, odd and periodic functions.In chapter 12 we consider the problem of evaluating areas bounded by plane figures (defined in Cartesian or Polar coordinates or in parametric form) with the aid of Definite Integrals.In chapter 13 we evaluate the length of arcs of curves expressed either in Cartesian or Polar coordinates.In chapter 14 we study the computation of volumes of solids.In chapter 15 we evaluate the area of a surface of revolution.In chapter 16 we study the center of gravity of various plane or solid figures for either a discrete or a continuous mass distribution.In chapter 17 we state and prove the two Theorems of the Pappus of Alexandria and consider various applications.In chapter 18 we consider the numerical (approximate) integration, i.e. the Trapezoidal formula, the Simpson's rule, integration by expanding the integrand into a power series, the Gauss's quadrature, etc.In chapter 19 we study the so called "Improper Integrals" which appear quite naturally in various applications. The "Cauchy Principal Value of an improper integral" is defined and various applications are considered. In chapter 20 we consider applications of the Definite Integral in Physics and Engineering, (work of a variable force, distance and displacement, pressure force, power and energy in electric circuits, etc).The text includes 130 illustrative worked out examples and 260 graded problems to be solved. The examples and the problems are designed to help the students to develop a solid background in the evaluation of Integrals, to broaden their knowledge and sharpen their analytical skills and finally to prepare them to pursue successful studies in more advanced courses in Mathematics.A brief hint or a detailed outline in solving more involved problems is often given.
A Treatise On The Integral Calculus
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Author : John Hymers
language : en
Publisher:
Release Date : 1844
A Treatise On The Integral Calculus written by John Hymers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1844 with Calculus, Integral categories.
The Definite Integral
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Author :
language : en
Publisher:
Release Date :
The Definite Integral written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Active Calculus 2018
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Author : Matthew Boelkins
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-08-13
Active Calculus 2018 written by Matthew Boelkins and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-13 with categories.
Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.
Elements Of The Integral Calculus
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Author : William Elwood Byerly
language : en
Publisher:
Release Date : 1881
Elements Of The Integral Calculus written by William Elwood Byerly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with Calculus, Integral categories.
Introduction To Integral Calculus
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Author : Ulrich L. Rohde
language : en
Publisher: John Wiley & Sons
Release Date : 2012-01-20
Introduction To Integral Calculus written by Ulrich L. Rohde and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-20 with Mathematics categories.
An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. 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.
An Elementary Treatise On The Integral Calculus
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Author : Benjamin Williamson
language : en
Publisher:
Release Date : 1880
An Elementary Treatise On The Integral Calculus written by Benjamin Williamson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1880 with Calculus of variations categories.
Elements Of Differential And Integral Calculus
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Author : Simon Newcomb
language : en
Publisher:
Release Date : 1887
Elements Of Differential And Integral Calculus written by Simon Newcomb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1887 with Calculus categories.