Download or read book The Binomial Theorem written by Jianlun Xu and published by Createspace Independent Publishing Platform. This book was released on 2017-04 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

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 Technical Mathematics written by Paul A. Calter and published by John Wiley & Sons. This book was released on 2011-03-22 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics. Computer projects are given when appropriate, including BASIC, spreadsheets, computer algebra systems, and computer-assisted drafting. The graphing calculator has been fully integrated and calculator screens are given to introduce computations. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.

Download or read book Mathematical Key written by Joseph B. Mott and published by . This book was released on 1855 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Intermediate Algebra 2e written by Lynn Marecek and published by . This book was released on 2020-05-06 with total page 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 Applied Discrete Structures written by Ken Levasseur and published by Lulu.com. This book was released on 2012-02-25 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.

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 Binomial Theorem and Logarithms For the Use of the Midshipmen At the Naval School Philadelphia written by William Chauvenet and published by BoD – Books on Demand. This book was released on 2024-04-04 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1843.

Download or read book Mathematical Key New Combinations in Respect to the Binomial Theorem and Logarithms written by Joseph B. Mott and published by Forgotten Books. This book was released on 2019-01-12 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Mathematical Key; New Combinations in Respect to the Binomial Theorem and Logarithms: And a New Discovery of One General Root Theorem for the Solution of Equations of All Degrees It is easy for a mere tyro in algebra to propose equations that will puzzle an adept to solve by former rules, but will not be so easy after these researches shall become known. There are various forms to which equations may be reduced before applying the root theorem, that will much simplify the result in many cases these forms are not all presented, but only those which are of the highest importance in respect to solution, though many others might have been added with propriety. 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 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 Symbolic Logic and the Binomial Expansion written by Richard Forringer and published by . This book was released on 2011-11 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: While Symbolic Logic and the Binomial Expansion are subjects that are often mentioned in High School and College math courses, the two projects contained in this book have been carefully developed to help the student achieve a more in-depth understanding of these concepts. The projects are designed to be done independently or they can be incorporated into the curriculum of any math course from second semester algebra and beyond. Students who complete these projects will gain a stronger appreciation of what it means to think logically and they will see how two seemingly unrelated areas of study connect in ways that strengthen both. Areas of focus in these projects include: Truth Tables Compound Truth Tables Negations Conditionals Converse, Inverse, and Contrapositive Biconditionals Tautologies Symbolic logic (also known as Mathematical Logic) is foundational to many fields of study such as computer science and engineering. Those who have an understanding of symbolic logic and the binomial expansion will be better prepared for further courses of study in mathematics, science, and engineering. About the author: Dick Forringer received his Bachelors Degree from Kent State University, majoring in mathematics and he earned his Masters in Education from Fordham University. He retired after 42 years of being a teacher and administrator at Durham Academy, in Durham, North Carolina. He is a recipient of the F. Robertson Hershey Distinguished Faculty award and the Brumley Excellence in Teaching award. Dick has also had three feature articles published in Mathematics Teacher. This is his second published book.

Download or read book Binomial Theorem IB SL Math written by Lee Jun Cai and published by AcesMath!. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Confused about the various concepts on Binomial Theorem taught in school or simply want more practice questions? This book on Binomial Theorem seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (SL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Download or read book Algebra written by William Raymond Longley and published by . This book was released on 1926 with total page 608 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 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The True Development of the Binomial Theorem by a Purely Algebraical Process Preceded by Strictures Exhibiting the Defects of Some of the Most Approved Demonstrations written by Thomas SWINBURNE (and TYLECOTE (Thomas)) and published by . This book was released on 1827 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Binomial Theorem written by Masroor Mohajerani and published by . This book was released on 2020-11-19 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.