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A Treatise on the Binomial Theorem

A Treatise on the Binomial Theorem
Author: Craig Smorynski
Publisher: Texts in Mathematics
Total Pages: 358
Release: 2012
Genre: Mathematics
ISBN: 9781848900851

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"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.


The Binomial Theorem

The Binomial Theorem
Author: Jianlun Xu
Publisher: Createspace Independent Publishing Platform
Total Pages: 50
Release: 2017-04
Genre:
ISBN: 9781545489642

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"The Binomial Theorem" is the book about binomial expansion and its applications. It is an important topic in algebra for high school and college students. As a self-study guide, the book provides plenty of examples and explanations to help readers to grasp math concepts.


The Binomial Theorem - A Selection of Classic Mathematical Articles Containing Examples and Exercises in Algebra (Mathematics Series)

The Binomial Theorem - A Selection of Classic Mathematical Articles Containing Examples and Exercises in Algebra (Mathematics Series)
Author: Various
Publisher: Campbell Press
Total Pages: 108
Release: 2012-06
Genre: Mathematics
ISBN: 9781447456636

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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.


Binomial Theorem and Logarithms

Binomial Theorem and Logarithms
Author: William Chauvenet
Publisher: Forgotten Books
Total Pages: 98
Release: 2017-10-22
Genre: Mathematics
ISBN: 9780282996130

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Excerpt from Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval School, Philadelphia A rigid demonstration of the Binomial Theorem, at once simple and sufliciently elementary, has been much sought for by mathe maticians. The one here given depends upon a principle which is the foundation of the Differential Calculus, and is in fact little else than a translation of the very simple demonstration afforded by that science into the elementary language of Algebra. It is essen tially the same as that given by bourdon, (algébre, cd. 1837, Paris, ) and by Professor peirce of Harvard University, in his excellent treatise upon Algebra. The latter, however, has not extended the demonstration to the cases in which the exponent is negative or fractions]. 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.


A Treatise on Algebra

A Treatise on Algebra
Author: Elias Loomis
Publisher:
Total Pages: 364
Release: 1857
Genre: Algebra
ISBN:

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Binomial Theorem

Binomial Theorem
Author: Masroor Mohajerani
Publisher:
Total Pages: 63
Release: 2020-11-19
Genre:
ISBN:

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In this book, you will learn the concept of the binomial theorem and Pascal's triangle. You will also learn how to expand a binomial, how to find the middle term, how to find the number of terms, and so on. Expansion of binomials with negative or rational index is also explained. Over100 examples with a step-by-step solution are provided in the book. Learn and practice Algebra and Improve your skills in MathYou will learn:- Pascal Triangle- Binomial theorem- Binomial expansion- Binomial coefficient- How to find the number of terms- How to find the middle termYou will learn mathematics and all its sub fields such as algebra and calculus by solving different questions by yourself. In the book, there are lots of different examples to help you to improve your math skills. This Math workbook helps students to find any kind of algebra questions and learn the skills to solve them.


A Treatise on Algebra

A Treatise on Algebra
Author: Charles William Hackley
Publisher:
Total Pages: 544
Release: 1846
Genre: Algebra
ISBN:

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