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The Definite Integral
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Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Book Synopsis Active Calculus 2018 by : Matthew Boelkins
Download or read book Active Calculus 2018 written by Matthew Boelkins and published by Createspace Independent Publishing Platform. This book was released on 2018-08-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Definite Integral by : Grigoriĭ Mikhaĭlovich Fikhtengolʹt︠s︡
Download or read book The Definite Integral written by Grigoriĭ Mikhaĭlovich Fikhtengolʹt︠s︡ and published by M.E. Sharpe. This book was released on 1973 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Yet Another Calculus Text by : Dan Sloughter
Download or read book Yet Another Calculus Text written by Dan Sloughter and published by Orange Grove Texts Plus. This book was released on 2009-09-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Definite Integral Made Easy by : Deepak Bhardwaj
Download or read book Definite Integral Made Easy written by Deepak Bhardwaj and published by Firewall Media. This book was released on 2008 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Irresistible Integrals by : George Boros
Download or read book Irresistible Integrals written by George Boros and published by Cambridge University Press. This book was released on 2004-06-21 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.
Book Synopsis Approximate Calculation of Integrals by : V. I. Krylov
Download or read book Approximate Calculation of Integrals written by V. I. Krylov and published by Courier Corporation. This book was released on 2012-01-27 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Inside Interesting Integrals by : Paul J. Nahin
Download or read book Inside Interesting Integrals written by Paul J. Nahin and published by Springer Nature. This book was released on 2020-06-27 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Table of Integrals, Series, and Products by : I. S. Gradshteyn
Download or read book Table of Integrals, Series, and Products written by I. S. Gradshteyn and published by Academic Press. This book was released on 2014-05-10 with total page 1207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Integrals Vol. 2 by : Demetrios P. KANOUSSIS
Download or read book Integrals Vol. 2 written by Demetrios P. KANOUSSIS and published by . This book was released on 2018-10-15 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Integral Calculus by : Ulrich L. Rohde
Download or read book Introduction to Integral Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis CK-12 Calculus by : CK-12 Foundation
Download or read book CK-12 Calculus written by CK-12 Foundation and published by CK-12 Foundation. This book was released on 2010-08-15 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.
Download or read book Calculus Volume 3 written by Edwin Herman and published by . This book was released on 2016-03-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Book Synopsis Calculus of One Variable by : M. Thamban Nair
Download or read book Calculus of One Variable written by M. Thamban Nair and published by Springer Nature. This book was released on 2022-01-22 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Mathematics. The first edition of this book was published in 2015. As there is a demand for the next edition, it is quite natural to take note of the several suggestions received from the users of the earlier edition over the past six years. This is the prime motivation for bringing out a revised second edition with a thorough revision of all the chapters. The book provides a clear understanding of the basic concepts of differential and integral calculus starting with the concepts of sequences and series of numbers, and also introduces slightly advanced topics such as sequences and series of functions, power series, and Fourier series which would be of use for other courses in mathematics for science and engineering programs. The salient features of the book are - precise definitions of basic concepts; several examples for understanding the concepts and for illustrating the results; includes proofs of theorems; exercises within the text; a large number of problems at the end of each chapter as home-assignments. The student-friendly approach of the exposition of the book would be of great use not only for students but also for the instructors. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in a mathematics course.
Book Synopsis Calculus II For Dummies® by : Mark Zegarelli
Download or read book Calculus II For Dummies® written by Mark Zegarelli and published by John Wiley & Sons. This book was released on 2008-06-02 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject.
Book Synopsis The Absolute Minimum of a Definite Integral in a Special Field ... by : Egbert J. Miles
Download or read book The Absolute Minimum of a Definite Integral in a Special Field ... written by Egbert J. Miles and published by . This book was released on 1912 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis (Almost) Impossible Integrals, Sums, and Series by : Cornel Ioan Vălean
Download or read book (Almost) Impossible Integrals, Sums, and Series written by Cornel Ioan Vălean and published by Springer. This book was released on 2019-05-10 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.
