Download or read book Rational Fractions A Selection of Classic Mathematical Articles Containing Examples and Exercises on the Subject of Calculus Mathematics Series written by Various and published by . This book was released on 2012-06 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains classic material dating back to the 1900s and before. The content has been carefully selected for its interest and relevance to a modern audience. Carefully selecting the best articles from our collection we have compiled a series of historical and informative publications on the subject of mathematics. The titles in this range include "Logarithms" "Graphical Algebra" "Elliptic Integrals" and many more. Each publication has been professionally curated and includes all details on the original source material. This particular instalment, "Rational Fractions" contains a selection of classic educational articles containing examples and exercises on the subject of algebra. It is intended to illustrate aspects of rational fractions and serves as a guide for anyone wishing to obtain a general knowledge of the subject. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Download or read book A Beginner s Guide to Algebraic Fractions A Selection of Classic Mathematical Articles Containing Examples and Exercises on the Subject of Algebra written by Various and published by Carpenter Press. This book was released on 2012-06 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains classic material dating back to the 1900s and before. The content has been carefully selected for its interest and relevance to a modern audience. Carefully selecting the best articles from our collection we have compiled a series of historical and informative publications on the subject of mathematics. The titles in this range include "Ratio and Proportion" "Simple Equations" "Simultaneous Equations" and many more. Each publication has been professionally curated and includes all details on the original source material. This particular instalment, "A Beginner's Guide to Algebraic Fractions" contains a selection of classic educational articles containing examples and exercises on the subject of algebra. It is intended to illustrate aspects of algebraic fractions and serves as a guide for anyone wishing to obtain a general knowledge of the subject. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Download or read book Advanced Calculus Revised Edition written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Introduction to Fractional Calculus written by A. M. Mathai and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a modified version of Module 10 of the Centre for Mathematical and Statistical Sciences (CMSS). CMSS modules are notes prepared on various topics with many examples from real-life situations and exercises so that the subject matter becomes interesting to students. These modules are used for undergraduate level courses and graduate level training in various topics at CMSS. Aside from Module 8, these modules were developed by Dr. A. M. Mathai, Director of CMSS and Emeritus Professor of Mathematics and Statistics, McGill University, Canada. Module 8 is based on the lecture notes of Professor W. J. Anderson of McGill University, developed for his undergraduate course (Mathematics 447). Professor Dr. Hans J. Haubold has been a research collaborator of Dr. A.M. Mathais since 1984, mainly in the areas of astrophysics, special functions and statistical distribution theory. He is also a lifetime member of CMSS and a Professor at CMSS. A large number of papers have been published jointly in these areas since 1984. The following monographs and books have been brought out in conjunction with this joint research: Modern Problems in Nuclear and Neutrino Astrophysics (A.M. Mathai and H.J. Haubold, 1988, Akademie-Verlag, Berlin); Special Functions for Applied Scientists (A.M.Mathai and H.J. Haubold, 2008, Springer, New York); and The H-Function: Theory and Applications (A.M.Mathai, R.K. Saxena and H.J. Haubold, 2010, Springer, New York). These CMSS modules are printed at CMSS Press and published by CMSS. Copies are made available to students free of charge, and to researchers and others at production cost. For the preparation of the initial drafts of all these modules, financial assistance was made available from the Department of Science and Technology, the Government of India (DST), New Delhi under project number SR/S4/MS:287/05. Hence, the authors would like to express their thanks and gratitude to DST, the Government of India, for its financial assistance.
Download or read book Fractional Calculus written by Dumitru Baleanu and published by World Scientific. This book was released on 2012 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering. These operators have been used to model problems with anomalous dynamics, however, they also are an effective tool as filters and controllers, and they can be applied to write complicated functions in terms of fractional integrals or derivatives of elementary functions, and so on. This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models. All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book was written with a trade-off in mind between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice. Numerical code is also provided.
Download or read book Foundations of Differential Calculus written by Euler and published by Springer Science & Business Media. This book was released on 2006-05-04 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.
Download or read book History of Continued Fractions and Pad Approximants written by Claude Brezinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...
Download or read book Fractional Calculus and Its Applications written by B. Ross and published by Springer. This book was released on 2006-11-15 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractional Calculus Models And Numerical Methods Second Edition written by Juan J Trujillo and published by World Scientific. This book was released on 2016-09-15 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models.All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book will keep in mind the trade-off between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice.The second edition of the book has been expanded and now includes a discussion of additional, newly developed numerical methods for fractional calculus and a chapter on the application of fractional calculus for modeling processes in the life sciences.
Download or read book Success with Math Fractions 1 written by Lisa Wood and published by PRUFROCK PRESS INC.. This book was released on 2004-04 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Math Exercises written by Robert Mitchell and published by . This book was released on 1993-09 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractional Calculus View of Complexity written by Bruce J. West and published by CRC Press. This book was released on 2016-01-05 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is not a text devoted to a pedagogical presentation of a specialized topic nor is it a monograph focused on the author's area of research. It accomplishes both these things while providing a rationale for why the reader ought to be interested in learning about fractional calculus. This book is for researchers who has heard about many
Download or read book Solved Exercises in Fractional Calculus written by Edmundo Capelas de Oliveira and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a brief historical introduction and state of the art in fractional calculus. The author introduces some of the so-called special functions, in particular, those which will be directly involved in calculations. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself. At the end of those chapters there is a list of complementary exercises. The last chapter presents several applications of fractional calculus.
Download or read book Essence of Fractions written by Eve Wallis and published by Eve Wallis Designs. This book was released on 2021-06-26 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: All you need to master fractions in one math workbook. Essence of Fractions is a textbook quality fraction workbook containing Well organized and comprehensive explanations of concepts Tables and visualizations for easy chunking of information Step-by-step examples Practice exercises at the end of each chapter with answers given in the appendix Study questions in the appendix for reinforcing and gaining a more thorough understanding of key concepts The key concepts provided in this book include How a fraction is defined How to compare fractions How to reduce fractions with a greatest common divisor How to reduce fractions with prime factorization How to multiply fractions How to divide fractions How to add and subtract fractions with a common denominator How to add and subtract fractions with different denominators How to simplify fractions containing variables Minimal background knowledge of mathematics is necessary to make sense of the concepts presented in this book. Even if if you have not taken a math class in 20 years, you can learn and understand the principles presented in this book by paying close attention to the key concepts and how to use them.
Download or read book Taylor Series Partial Fractions Laurent Series and Residues written by Jeremy Staines and published by . This book was released on 2020-06-27 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hermann Laurent (1853), who is not the Laurent associated with the Laurent Series (Pierre Alphonse Laurent), gives us a formal method for the decomposition of rational functions into partial fractions. He deals with simple and multiple roots, both real and imaginary. His method depends upon the Taylor Series, which is hence the first topic to be discussed. He also gives an error analysis of the Taylor series. Partial fractions find use in the ordinary integral calculus.From here I introduce the Laurent Series expression of a rational function, according to a selected root of its denominator. To achieve this, the remainder of the function must be expressed in terms of this selected root; this too is dependent upon a Taylor series. From the Laurent series I show the importance of the residue, for the integration of rational functions around a closed contour which circumscribes the selected root, in the complex plane. Two applications of this, for which I give simple examples, are: the inversion of Laplace Transforms, and the evaluation of real definite integrals.Given that all the above depends upon knowledge of roots of equations, I have included formulae, provided by Camillo Pagliani (1849), for the roots of quadratic, cubic, and quartic polynomials.You will require a good knowledge of calculus and complex variables to understand this work. Some familiarity with Laplace Transforms would be of advantage, though perhaps not strictly necessary. For an alternative proof of an integral found on p23 of this booklet, see http://home.lizzy.com.au/jeremy.staines/Stress_Integral.pdf
Download or read book Examples on the Integral Calculus Classic Reprint written by James Hann and published by Forgotten Books. This book was released on 2018-09-25 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Examples on the Integral Calculus Where integration by parts is used, the whole process is put down, but the student should endeavour as soon as pos sible to acquire the facility of running of! The quantities without writing down all the intermediate steps. 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.
Download or read book Math Practice Simplified Fractions Book G written by Ann Cassill Sofge, M.A. and published by Rainbow Horizons Publishing. This book was released on 2021-06-04 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strong math skills are essential to success in school and life. Math Practice Simplified - Fractions provides practice with fractions, from identification through all four basic operations. The eBook begins with representation of fractions and continues through addition, subtraction, multiplication, and division of like fractions, unlike fractions, and mixed numbers. Basic exercises are presented in student-friendly layouts with few distractions to interfere with concentration. Concepts in this eBook are based on Principles and Standards for School Mathematics as identified by the National Council of Teachers of Mathematics. Answers are provided at the back of the book.
