Download or read book A Treatise on the Binomial Theorem written by Craig Smorynski and published by Texts in Mathematics. This book was released on 2012 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The binomial theorem is usually quite rightly considered as one of the most important theorems in the whole of analysis." Thus wrote Bernard Bolzano in 1816 in introducing the first correct proof of Newton's generalisation of a century and a half earlier of a result familiar to us all from elementary algebra. Bolzano's appraisal may surprise the modern reader familiar only with the finite algebraic version of the Binomial Theorem involving positive integral exponents, and may also appear incongruous to one familiar with Newton's series for rational exponents. Yet his statement was a sound judgment back in the day. Here the story of the Binomial Theorem is presented in all its glory, from the early days in India, the Moslem world, and China as an essential tool for root extraction, through Newton's generalisation and its central role in infinite series expansions in the 17th and 18th centuries, and to its rigorous foundation in the 19th. The exposition is well-organised and fairly complete with all the necessary details, yet still readable and understandable for those with a limited mathematical background, say at the Calculus level or just below that. The present book, with its many citations from the literature, will be of interest to anyone concerned with the history or foundations of mathematics.
Download or read book A Treatise on Algebra written by Charles William Hackley and published by . This book was released on 1846 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Binomial Theorem and Logarithms written by William Chauvenet and published by . This book was released on 1843 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Doctrine of Numerical Series Both Ascending and Descending written by Alonzo Jackman and published by . This book was released on 1846 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Binomial Theorem A Selection of Classic Mathematical Articles Containing Examples and Exercises in Algebra Mathematics Series written by Various and published by Campbell Press. This book was released on 2012-06 with total page 108 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, "The Binomial Theorem" contains a selection of classic educational articles containing examples and exercises on the subject of algebra. It is intended to illustrate aspects of the Binomial Theorem 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 Treatise on Algebra written by Elias Loomis and published by . This book was released on 1857 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on Algebra embracing besides the elementary principles all the higher parts usually taught in colleges etc written by George R. PERKINS (Professor of Mathematics.) and published by . This book was released on 1842 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on Algebra written by Charles Smith and published by . This book was released on 1888 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Algebra Theoretical and Practical written by John Radford Young and published by Palala Press. This book was released on 2015-08-31 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book A Treatise on Algebra written by George Peacock and published by . This book was released on 1830 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise On the Doctrine of Numerical Series Both Ascending and Descending Also the Binomial Theorem With Integer and Fractional Exponents written by Alonzo Jackman and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this comprehensive mathematical treatise, Jackman explores the complex patterns and relationships that underlie numerical series and the binomial theorem. With clear explanations and rigorous proofs, this book is an essential resource for anyone interested in the foundations of mathematical analysis. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book An Elementary Treatise on Algebra Theoretical and Practical With Attempts to Simplify Some of the More Difficult Parts of the Science Particularly written by John Radford Young and published by Palala Press. This book was released on 2018-02-16 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book A Treatise on the Differential Calculus written by I. Todhunter and published by BoD – Books on Demand. This book was released on 2023-10-14 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1875.
Download or read book A Treatise on the Differential Calculus written by Isaac Todhunter and published by . This book was released on 1878 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on Algebra written by Charles Smith and published by . This book was released on 1890 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Art of Proving Binomial Identities written by Michael Z. Spivey and published by CRC Press. This book was released on 2019-05-10 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Art of Proving Binomial Identities accomplishes two goals: (1) It provides a unified treatment of the binomial coefficients, and (2) Brings together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course, but also basic algebra (binomial theorem), infinite series (Newton’s binomial series), differentiation (Leibniz’s generalized product rule), special functions (the beta and gamma functions), probability, statistics, number theory, finite difference calculus, algorithm analysis, and even statistical mechanics. The book is very suitable for advanced undergraduates or beginning graduate students and includes various exercises asking them to prove identities. Students will find that the text and notes at the end of the chapters encourages them to look at binomial coefficients from different angles. With this learning experience, students will be able to understand binomial coefficients in a new way. Features: Provides a unified treatment of many of the techniques for proving binomial coefficient identities. Ties together several of the courses in the undergraduate mathematics curriculum via a single theme. A textbook for a capstone or senior seminar course in mathematics. Contains several results by the author on proof techniques for binomial coefficients that are not well-known. Ideal for self-study, it contains a large number of exercises at the end of each chapter, with hints or solutions for every exercise at the end of the book.
Download or read book A Treatise on Algebra Third edition greatly enlarged written by James BRYCE (F.G.S.) and published by . This book was released on 1872 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
