Introduction To Integrals

Author : Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh
Publisher : John Wiley & Sons
Page : 371 pages
File Size : 51,9 Mb
Release : 2012-01-20
Category : Mathematics
ISBN : 9781118130339

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Introduction to Integral Calculus by Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh Pdf

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.

Author : Adrian Harrison
Publisher : Unknown
Page : 116 pages
File Size : 43,7 Mb
Release : 2019-05-09
Category : Electronic
ISBN : 1097502171

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Introduction to Integrals by Adrian Harrison Pdf

Introduction to Integral workbook This book includes a brief explanation part, example with solutions, practice problems, problem-solving strategies, multiple-choice questions with answer sheets and it has been prepared for the beginners to help them understand the basic concepts of integrals. This book will facilitate skills in algebra. Inside are numerous lessons to assist you better understand the topic. These lessons are among many exercises to practice what you've learned, together with a whole answer key to test your work. Throughout this book, you'll learn the terms to assist you understand algebra, and you'll expand your knowledge of the topic through dozens of sample problems and their solutions. With the teachings during this book, you'll find it easier than ever to understand concepts in algebra. DEFINITION PROPERTIES FOR TAKING INDEFINITE INTEGRAL BASIC THEOREMS IN INTEGRAL CALCULATIONS METHODS FOR TAKING INTEGRALS SEPARATING INTO RATIONAL NUMBERS METHOD DEFINITE INTEGRAL PROPERTIES OF DEFINITE INTEGRAL APPLICATION OF DEFINITE INTEGRAL TEST WITH SOLUTIONS

Author : Robert T. Seeley
Publisher : Courier Corporation
Page : 116 pages
File Size : 42,5 Mb
Release : 2014-02-20
Category : Mathematics
ISBN : 9780486151793

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An Introduction to Fourier Series and Integrals by Robert T. Seeley Pdf

A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.

Author : V. I. Krylov
Publisher : Courier Corporation
Page : 372 pages
File Size : 51,8 Mb
Release : 2012-01-27
Category : Mathematics
ISBN : 9780486154671

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Approximate Calculation of Integrals by V. I. Krylov Pdf

An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.

Author : Charles W Swartz
Publisher : World Scientific
Page : 169 pages
File Size : 47,6 Mb
Release : 2001-05-30
Category : Mathematics
ISBN : 9789814493512

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Introduction To Gauge Integrals by Charles W Swartz Pdf

This book presents the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock/Kurzweil integral is an unconditional integral for which the fundamental theorem of calculus holds in full generality, while the McShane integral is equivalent to the Lebesgue integral in Euclidean spaces.A basic knowledge of introductory real analysis is required of the reader, who should be familiar with the fundamental properties of the real numbers, convergence, series, differentiation, continuity, etc.

Author : Jai Rathod
Publisher : Unknown
Page : 0 pages
File Size : 46,9 Mb
Release : 2015-08
Category : Calculus, Integral
ISBN : 1681171864

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Introduction to Integral Calculus Systematic Studies with Engineering Applications by Jai Rathod Pdf

An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the fundamental objects of calculus. Other words for integral include antiderivative and primitive. The Riemann integral is the simplest integral definition and the only one usually encountered in physics and elementary calculus. The study of integral calculus includes: integrals and their inverse, differentials, derivatives, anti-derivatives, and approximating the area of curvilinear regions. Integration 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 book provides a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. This book explores the integral calculus and its plentiful applications in engineering and the physical sciences. A basic understanding of integral calculus combined with scientific problems, and throughout, the book covers 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.

Author : Joseph Edwards
Publisher : Unknown
Page : 330 pages
File Size : 51,6 Mb
Release : 1894
Category : Calculus
ISBN : HARVARD:32044091886127

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Integral Calculus for Beginners by Joseph Edwards Pdf

Author : Hui-Hsiung Kuo
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 40,9 Mb
Release : 2006-02-04
Category : Mathematics
ISBN : 9780387310572

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Introduction to Stochastic Integration by Hui-Hsiung Kuo Pdf

Also called Ito calculus, the theory of stochastic integration has applications in virtually every scientific area involving random functions. This introductory textbook provides a concise introduction to the Ito calculus. From the reviews: "Introduction to Stochastic Integration is exactly what the title says. I would maybe just add a ‘friendly’ introduction because of the clear presentation and flow of the contents." --THE MATHEMATICAL SCIENCES DIGITAL LIBRARY

Author : JOSEPH. EDWARDS
Publisher : Unknown
Page : 0 pages
File Size : 40,5 Mb
Release : 2018
Category : Electronic
ISBN : 1033136425

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INTEGRAL CALCULUS FOR BEGINNERS by JOSEPH. EDWARDS Pdf

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Page : 500 pages
File Size : 53,5 Mb
Release : 2017-09-14
Category : Mathematics
ISBN : 0980232759

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Calculus by Gilbert Strang Pdf

Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the third edition is a chapter on the 'Highlights of calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare. These can be accessed from math.mit.edu/~gs.

Author : Howard J. Wilcox,David L. Myers
Publisher : Courier Corporation
Page : 194 pages
File Size : 41,8 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486137476

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An Introduction to Lebesgue Integration and Fourier Series by Howard J. Wilcox,David L. Myers Pdf

This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.

Author : Paul J. Nahin
Publisher : Springer Nature
Page : 542 pages
File Size : 54,5 Mb
Release : 2020-06-27
Category : Science
ISBN : 9783030437886

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Inside Interesting Integrals by Paul J. Nahin Pdf

What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.

Author : Joseph Edwards
Publisher : Forgotten Books
Page : 0 pages
File Size : 45,5 Mb
Release : 2017-10-11
Category : Electronic
ISBN : 0265172667

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Integral Calculus for Beginners by Joseph Edwards Pdf

Excerpt from Integral Calculus for Beginners: With an Introduction to the Study of Differential Equations It Will be found, however, that the ordinary pro cesses of integration are fully treated, as also the principal methods of Rectification and Quadrature, and the calculation of the volumes and surfaces of solids of revolution. Some indication is also afforded to the student of other useful applications of the Integral Calculus, such as the general method to be employed in obtaining the position of a Centroid, or the value of a Moment of Inertia. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author : I. S. Gradshteyn,I. M. Ryzhik
Publisher : Academic Press
Page : 1206 pages
File Size : 51,5 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483265643

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Table of Integrals, Series, and Products by I. S. Gradshteyn,I. M. Ryzhik Pdf

Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.

Author : Horatio Scott Carslaw
Publisher : Unknown
Page : 440 pages
File Size : 48,6 Mb
Release : 1930
Category : Definite integrals
ISBN : UCSD:31822014010458

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Introduction to the Theory of Fourier's Series and Integrals by Horatio Scott Carslaw Pdf