Numbers Sequences And Series
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Numbers Sequences And Series
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Author : Keith Hirst
language : en
Publisher: Elsevier
Release Date : 1994-12-08
Numbers Sequences And Series written by Keith Hirst and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-08 with Mathematics categories.
Number and geometry are the foundations upon which mathematics has been built over some 3000 years. This book is concerned with the logical foundations of number systems from integers to complex numbers. The author has chosen to develop the ideas by illustrating the techniques used throughout mathematics rather than using a self-contained logical treatise. The idea of proof has been emphasised, as has the illustration of concepts from a graphical, numerical and algebraic point of view. Having laid the foundations of the number system, the author has then turned to the analysis of infinite processes involving sequences and series of numbers, including power series. The book also has worked examples throughout and includes some suggestions for self-study projects. In addition there are tutorial problems aimed at stimulating group work and discussion.
Problems In Mathematical Analysis Real Numbers Sequences And Series
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Author : Wiesława J. Kaczor
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Problems In Mathematical Analysis Real Numbers Sequences And Series written by Wiesława J. Kaczor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Solutions for all the problems are provided."--BOOK JACKET.
Infinite Sequences And Series
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Author : Konrad Knopp
language : en
Publisher: Courier Corporation
Release Date : 2012-09-14
Infinite Sequences And Series written by Konrad Knopp and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Mathematics categories.
Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.
Numeric Progression
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Author : Purushottam Kumar suman
language : en
Publisher: Purushottam Kumar suman
Release Date : 2019-01-04
Numeric Progression written by Purushottam Kumar suman and has been published by Purushottam Kumar suman this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-04 with Study Aids categories.
The book is a practice to categories progression of similar type and nature. we'll get collective knowledge of the infinite number of progressions under a single topic "Numeric progression". In starting we will know about sequences in brief and later move on to some examples. After it finally we’ll went to numeric progression. The book covers mainly three topics, to find nth term of any numeric progression, to find sum of nth term of any numeric progression, to find nth term from end of any numeric progression, It’s the magic of mathematics that in end we'll be able to find these three by using only three formulas for any numeric progression.
Methods Of Solving Sequence And Series Problems
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Author : Ellina Grigorieva
language : en
Publisher: Birkhäuser
Release Date : 2016-12-09
Methods Of Solving Sequence And Series Problems written by Ellina Grigorieva and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-09 with Mathematics categories.
This book aims to dispel the mystery and fear experienced by students surrounding sequences, series, convergence, and their applications. The author, an accomplished female mathematician, achieves this by taking a problem solving approach, starting with fascinating problems and solving them step by step with clear explanations and illuminating diagrams. The reader will find the problems interesting, unusual, and fun, yet solved with the rigor expected in a competition. Some problems are taken directly from mathematics competitions, with the name and year of the exam provided for reference. Proof techniques are emphasized, with a variety of methods presented. The text aims to expand the mind of the reader by often presenting multiple ways to attack the same problem, as well as drawing connections with different fields of mathematics. Intuitive and visual arguments are presented alongside technical proofs to provide a well-rounded methodology. With nearly 300 problems including hints, answers, and solutions, Methods of Solving Sequences and Series Problems is an ideal resource for those learning calculus, preparing for mathematics competitions, or just looking for a worthwhile challenge. It can also be used by faculty who are looking for interesting and insightful problems that are not commonly found in other textbooks.
Irrational Numbers
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Author : Henry Parker Manning
language : en
Publisher: Forgotten Books
Release Date : 2018-02-07
Irrational Numbers written by Henry Parker Manning and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-07 with Mathematics categories.
Excerpt from Irrational Numbers: And Their Representation by Sequences and Series The infinite series is defined as a sequence written in a particular way. Theorems are given on the con vergency and use of infinite series sufficient to develop the exponential, binomial, and logarithmic series. The theory of irrational numbers given in Chapter I has been adopted by Professor Fine, as stated else where (p. Perhaps I may be permitted to add that I did not see Professor Fine s book until after my manuscript was in the hands of the printer. 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.
Irrational Numbers And Their Representation By Sequences And Series
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Author : Henry Parker Manning
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-06-24
Irrational Numbers And Their Representation By Sequences And Series written by Henry Parker Manning and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-24 with categories.
Dr. Manning's book on irrational numbers contains a presentation in a simple form of another field of mathematical inquiry, such as is also eminently_ suited for placing in the hands of the ordinary schoolmaster. We have decided that the geometry of proportion shall be taught to schoolboys without reference to irrational quantities, but we have not yet eliminated a spirit of reckless extravagance in the quite unnecessary use of infinite series, often with total disregard for their convergency. In Dr. Manning's treatment an irrational number is defined as forming a point of separation between rational numbers of two classes, the numbers of one class being less than those of the other. This definition appears to involve the assumption (pp. 7, 10, &c.) that the point of separation is unique, in other words, that there cannot be two irrational numbers which have not some rational number separating them. Perhaps this assumption may be regarded as a definition of equality of irrational numbers; in any case, the inquiring reader would find it necessary to examine more fully the references to Dedekind's and Cantor's writings given on p. 56. Once the assumption or definition is made, the representation of numbers by sequences readily follows. The theory of limits is discussed on p. 57, and in the following chapter the notion of a sequence is shown to give rise to that of a series. The remaining portion of the book is mainly devoted to the study of convergence, and includes the well-known multiplication theorem and applications to the still better-known binomial and exponential series. -Nature, Vol. 75
Theory Of Infinite Sequences And Series
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Author : Ludmila Bourchtein
language : en
Publisher: Springer Nature
Release Date : 2021-11-13
Theory Of Infinite Sequences And Series written by Ludmila Bourchtein and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-13 with Mathematics categories.
This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning – the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series. The text is aimed at university students specializing in mathematics and natural sciences, and at all the readers interested in infinite sequences and series. It is designed for the reader who has a good working knowledge of calculus. No additional prior knowledge is required. The text is divided into five chapters, which can be grouped into two parts: the first two chapters are concerned with the sequences and series of numbers, while the remaining three chapters are devoted to the sequences and series of functions, including the power series. Within each major topic, the exposition is inductive and starts with rather simple definitions and/or examples, becoming more compressed and sophisticated as the course progresses. Each key notion and result is illustrated with examples explained in detail. Some more complicated topics and results are marked as complements and can be omitted on a first reading. The text includes a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic techniques and test the understanding of key concepts. Other problems are more theoretically oriented and illustrate more intricate points of the theory, or provide counterexamples to false propositions which seem to be natural at first glance. Solutions to additional problems proposed at the end of each chapter are provided as an electronic supplement to this book.
Irrational Numbers
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Author : HENRY PARKER. MANNING
language : en
Publisher:
Release Date : 2018
Irrational Numbers written by HENRY PARKER. MANNING and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Irrational Numbers And Their Representation By Sequences And Series
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Author : Henry Parker Manning
language : en
Publisher: Palala Press
Release Date : 2016-05-20
Irrational Numbers And Their Representation By Sequences And Series written by Henry Parker Manning and has been published by Palala Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-20 with categories.
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.