Integral Calculus
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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.
Integral Calculus
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Author : Hari Kishan
language : en
Publisher: Atlantic Publishers & Dist
Release Date : 2005
Integral Calculus written by Hari Kishan and has been published by Atlantic Publishers & Dist this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
The Present Book Integral Calculus Is A Unique Textbook On Integration, Aiming At Providing A Fairly Complete Account Of The Basic Concepts Required To Build A Strong Foundation For A Student Endeavouring To Study This Subject. The Analytical Approach To The Major Concepts Makes The Book Highly Self-Contained And Comprehensive Guide That Succeeds In Making The Concepts Easily Understandable. These Concepts Include Integration By Substitution Method, Parts, Trigonometrical Substitutions And Partial Functions; Integration Of Hyperbolic Functions, Rational Functions, Irrational Functions And Transcendental Functions; Definite Integrals; Reduction Formulae; Beta And Gamma Functions; Determination Of Areas, Lengths, Volumes And Surfaces Of Solids Of Revolution And Many More. All The Elementary Principles And Fundamental Concepts Have Been Explained Rigorously, Leaving No Scope For Illusion Or Confusion. The Focus Throughout The Text Has Been On Presenting The Subject Matter In A Well-Knit Manner And Lucid Style, So That Even A Student With Average Mathematical Skill Would Find It Accessible To Himself. In Addition, The Book Provides Numerous Well-Graded Solved Examples, Generally Set In Various University And Competitive Examinations, Which Will Facilitate Easy Understanding Besides Acquainting The Students With A Variety Of Questions.It Is Hoped That The Book Would Be Highly Useful For The Students And Teachers Of Mathematics. Students Aspiring To Successfully Accomplish Engineering And Also Those Preparing For Various Competitive Examinations Are Likely To Find This Book Of Much Help.
Integral Calculus For Engineers
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Author : Gavriil Paltineanu
language : en
Publisher: Springer Nature
Release Date : 2022-10-03
Integral Calculus For Engineers written by Gavriil Paltineanu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-03 with Technology & Engineering categories.
The book mainly deals with basic concepts and examples about integral calculus such as indefinite integral, definite integral, improper integrals, integrals dependent on parameters, lines integrals, double and triple integrals, and surface integrals. These basic elements of integral calculus are well presented in this book, and they are indispensable for students in higher technical education to successfully approach other theoretical or technical disciplines.
Differential Integral Calculus
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Author : HARI KISHAN
language : en
Publisher: Ram Prasad Publications(R.P.H.)
Release Date :
Differential Integral Calculus written by HARI KISHAN and has been published by Ram Prasad Publications(R.P.H.) this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Unit I Limit and Continuity (e and d definition). Types of Discontinuities. Theorems on Limit and Continuity. Differentiability of Functions. Successive Differentiation. Leibnitz's Theorem. Unit II Mean Value Theorem. Rolle's Theorem. Cauchy's Generalised Mean Value Theorem. Lagranges Mean value Theorem. Taylors Theorem with Lagranges & Cauchy's form of remainder. Maclaurin's Series & Taylor's Series of sin x, cos x, ex, log(1+x), (1+x)m. Unit III Improper integrals, Gamma function, Properties of Gamma function. Beta function. Properties of Beta function. Indeterminate forms L. Hospitals Rule. Unit IV Double Integration. Properties of Double Integration. Iterated Integral. Change of order Integration. Transformation of Double Integral in Polar Form.
Single Variable Differential And Integral Calculus
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Author : Elimhan Mahmudov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-19
Single Variable Differential And Integral Calculus written by Elimhan Mahmudov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-19 with Mathematics categories.
The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important business fields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequences of functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems and examples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Stieltjes and Lebesque integrals are studied together and compared.
Differential And Integral Calculus Volume 1
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Author : Richard Courant
language : en
Publisher: John Wiley & Sons
Release Date : 1988-02-23
Differential And Integral Calculus Volume 1 written by Richard Courant 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 1988-02-23 with Mathematics categories.
The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Feynman Integral Calculus
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Author : Vladimir A. Smirnov
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-02
Feynman Integral Calculus written by Vladimir A. Smirnov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-02 with Mathematics categories.
The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. The book characterizes the most powerful methods and illustrates them with numerous examples starting from very simple ones and progressing to nontrivial examples. The book demonstrates how to choose adequate methods and combine evaluation methods in a non-trivial way. The most powerful methods are characterized and then illustrated through numerous examples. This is an updated textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author.
Integral Calculus
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Author : Walter Ledermann
language : en
Publisher: Springer
Release Date : 1977-06
Integral Calculus written by Walter Ledermann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-06 with Juvenile Nonfiction categories.