Sequences And Series
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Sequences And Series
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Author : Luis Vieira
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-05-22
Sequences And Series written by Luis Vieira and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-22 with Mathematics categories.
The author invites the reader to embark on a journey through the interesting and surprising subject of sequences and series of real numbers and functions in this clear and easy-to-read theoretical exposition. The book provides several examples and applications of sequences and series, as well as a list of proposed exercises to provide a full learning experience. From the secondary to the university level, this textbook provides a solid foundation in mathematics and a basis for further studies.
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.
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.
Sequences And Series
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Author : Diamantis Ioannis
language : en
Publisher:
Release Date : 2019
Sequences And Series written by Diamantis Ioannis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Algebra categories.
Sequences And Series
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Author : James Alexander Green
language : en
Publisher: Routledge/Thoemms Press
Release Date : 1966
Sequences And Series written by James Alexander Green and has been published by Routledge/Thoemms Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mathematics categories.
Sequences And Series
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Author : J A Green
language : en
Publisher:
Release Date : 1958
Sequences And Series written by J A Green and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.
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.
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.
Real Analysis Via Sequences And Series
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Author : Charles H.C. Little
language : en
Publisher: Springer
Release Date : 2015-05-28
Real Analysis Via Sequences And Series written by Charles H.C. Little and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-28 with Mathematics categories.
This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.
Golden Sequences And Infinite Series
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Author : N. P. Bali
language : en
Publisher: Firewall Media
Release Date : 2007
Golden Sequences And Infinite Series written by N. P. Bali and has been published by Firewall Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.