How to Integrate It

A Practical Guide to Finding Elementary Integrals

Author: Seán M. Stewart

Publisher: Cambridge University Press

ISBN: 1108311148

Category: Mathematics

Page: N.A

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While differentiating elementary functions is merely a skill, finding their integrals is an art. This practical introduction to the art of integration gives readers the tools and confidence to tackle common and uncommon integrals. After a review of the basic properties of the Riemann integral, each chapter is devoted to a particular technique of elementary integration. Thorough explanations and plentiful worked examples prepare the reader for the extensive exercises at the end of each chapter. These exercises increase in difficulty from warm-up problems, through drill examples, to challenging extensions which illustrate such advanced topics as the irrationality of π and e, the solution of the Basel problem, Leibniz's series and Wallis's product. The author's accessible and engaging manner will appeal to a wide audience, including students, teachers and self-learners. The book can serve as a complete introduction to finding elementary integrals, or as a supplementary text for any beginning course in calculus.
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Introduction to Integration

Author: Hilary A. Priestley

Publisher: Oxford University Press

ISBN: 0198501242

Category: Mathematics

Page: 306

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Introduction to integration provides a unified account of integration theory, giving a practical guide to the Lebesgue integral and its uses, with a wealth of illustrative examples and exercises. The book begins with a simplified Lebesgue-style integral (in lieu of the more traditional Riemann integral), intended for a first course in integration. This suffices for elementary applications, and serves as an introduction to the core of the book. The final chapters present selected applications, mostly drawn from Fourier analysis. The emphasis throughout is on integrable functions rather than on measure. The book is designed primarily as an undergraduate or introductory graduate textbook. It is similar in style and level to Priestley's Introduction to complex analysis, for which it provides a companion volume, and is aimed at both pure and applied mathematicians. Prerequisites are the rudiments of integral calculus and a first course in real analysis.
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EUROCAL '87

European Conference on Computer Algebra, Leipzig, GDR, June 2-5, 1987. Proceedings

Author: James H. Davenport

Publisher: Springer Science & Business Media

ISBN: 9783540515173

Category: Computers

Page: 499

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This is the sixth in a series of conference proceedings of international conferences on computer algebra held in Europe. All the preceding ones have also been published as Lecture Notes in Computer Science. They contain original research material not published elsewhere, and a few invited lectures summarising the state of the art. Computer algebra is the science of using computers to do algebraic calculations, rather than the purely arithmetic calculations which we all know computers can do. These calculations may be polynomial-like calculations - one thread of the conference was devoted to polynomial algorithms - or may relate to other areas of mathematics such as integration, the solution of differential equations, or geometry - a second thread was devoted to those topics. The calculations can be applied in a wide range of scientific and engineering subjects, and in branches of mathematics. Physics has benefitted especially from these calculations, and the proceedings contain many papers on this, and also papers on applications in computer aided design and robotics, to name but a few other applications. The third thread of the proceedings was devoted to these applications and to the computer algebra systems which perform these calculations.
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Fundamentals of Modern Mathematics

A Practical Review

Author: David B. MacNeil

Publisher: Courier Corporation

ISBN: 0486316149

Category: Mathematics

Page: 320

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Students and others wishing to know more about the practical side of mathematics will find this volume a highly informative resource. Accessible explanations of important concepts feature worked examples and diagrams. 1963 edition.
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A Guided Inquiry Approach to High School Research

Author: Randell K. Schmidt

Publisher: ABC-CLIO

ISBN: 161069287X

Category: Education

Page: 179

View: 8762

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This book helps educators foster academic success and college readiness: it demonstrates how to instruct high school students to find, process, and think about new information, and then synthesize that knowledge. * Introduces the Information Search Process to students * Supplies step-by-step lesson plans that educators can utilize to guide students with their chosen inquiry * Examines the task of the teaching team in guiding students in their inquiry and to provide them with the skills to find, process, and synthesize new information on their own
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Differential and Integral Calculus

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 1118031490

Category: Mathematics

Page: 640

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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.
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The Idealist Illusion and Other Essays

Translation and Introduction by Fiachra Long, Annotations by Fiachra Long and Claude Troisfontaines

Author: Maurice Blondel

Publisher: Springer Science & Business Media

ISBN: 9401593639

Category: Philosophy

Page: 156

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I was very happy when in 1997 Fiachra Long came to spend part of his sabbatical leave at the Archives Maurice Blondel at Louvain-Ia-Neuve. This allowed him to bring together and complete his translation of three important articles from Maurice Blondel, known as the philosopher of Aix-en-Province. These three articles fonn a unity: they make explicit certain aspects of the method used in the great thesis of 1893, Action. This thesis, it is well known, aroused many polemic debates after its appearance. Thomist theologians accused Blondel of turning back towards Kantian idealism whereas the philosophers of the Revue de metaphysique et de morale accused him on the contrary of falling back on a pre-critical realism. The three articles translated here, each in its own way, attempt to pass beyond these two opposite charges. The Idealist Illusion (1898) underlines the fact that the content of consciousness should be unfurled as it appears, by withdrawing from any idealist or realist prejudice, before judging the consistency of its content as a whole. In this way Blondel supports the "phenomenological" method used in his thesis. The Elementary Principle of a Logic of the Moral Life (1903) is a very well-worked text which shows that "the logic of possession and privation" is broader than "the logic of amnnation and negation. " Using these words, Blondel develops certain striking laws of action such as that of the "parallelogram of contrary forces.
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From Rigorous Standards to Student Achievement

A Practical Process

Author: Michael D. Rettig

Publisher: Eye On Education

ISBN: 1930556624

Category: Academic achievement

Page: 146

View: 5560

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This book showcases strategies which support teachers and principals as they implement high standards for students. At the same time, it demonstrates how to meet the needs of diverse learners.
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Annals of Language and Learning: Proceedings of the 2009 International Online Language Conference (IOLC 2009)

Author: Azadeh Shafaei,Mehran Nejati

Publisher: Universal-Publishers

ISBN: 1599428733

Category:

Page: N.A

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Annals of Language and Learning is the conference proceedings of the Second International Online Language Conference which was successfully held in July 2009. This event allowed professors, Master's students, Ph.D. students, and academics from around the world to submit papers pertaining to the areas of the conference theme. The conference was organized by International Online Knowledge Service Provider (IOKSP).
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Introduction to Fluorescence Sensing

Author: Alexander P. Demchenko

Publisher: Springer Science & Business Media

ISBN: 140209003X

Category: Medical

Page: 590

View: 6069

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Fluorescence sensing is a rapidly developing field of research and technology. Its target is nearly the whole world of natural and synthetic compounds being detected in different media including living bodies. The application area range from control of industrial processes to environment monitoring and clinical diagnostics. Among different detection methods fluorescence techniques are distinguished by ultimate sensitivity, high temporal and spatial resolution and versatility that allows not only remote detection of different targets but their imaging within the living cells. The basic mechanism of sensing is the transmission of the signal produced by molecular interaction with the target to fluorescent molecules, nanoparticles and nanocomposites with the detection by devices based on modern electronics and optics. In this interdisciplinary field of research and development the book is primarily intended to be a guide for students and young researchers. It is also addressed to professionals involved in active research and product development serving as a reference for the recent achievements. The users of these products will find description of principles that could allow proper selection of sensors for particular needs. Making a strong link between education, research and product development, this book discusses future directions.
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