Infinite Series

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Theory of Infinite Sequences and Series

Author : Ludmila Bourchtein
Publisher : Springer Nature
ISBN 13 : 3030794318
Total Pages : 388 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Theory of Infinite Sequences and Series by : Ludmila Bourchtein

Download or read book Theory of Infinite Sequences and Series written by Ludmila Bourchtein and published by Springer Nature. This book was released on 2021-11-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Real Infinite Series

Author : Daniel D. Bonar
Publisher : American Mathematical Soc.
ISBN 13 : 1470447827
Total Pages : 261 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Real Infinite Series by : Daniel D. Bonar

Download or read book Real Infinite Series written by Daniel D. Bonar and published by American Mathematical Soc.. This book was released on 2018-12-12 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.

Infinite Series

Author : James M Hyslop
Publisher : Courier Corporation
ISBN 13 : 0486154858
Total Pages : 146 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Infinite Series by : James M Hyslop

Download or read book Infinite Series written by James M Hyslop and published by Courier Corporation. This book was released on 2012-05-11 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text focuses on the convergence of real series. Topics include functions and limits, real sequences and series, series of non-negative terms, general series, series of functions, the multiplication of series, more. 1959 edition.

Theory and Application of Infinite Series

Author : Konrad Knopp
Publisher :
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Theory and Application of Infinite Series by : Konrad Knopp

Download or read book Theory and Application of Infinite Series written by Konrad Knopp and published by . This book was released on 1928 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trans from the 2nd German ed , pub 1923.

Infinite Sacrifice

Author : L.E. Waters
Publisher : Rock Castle Publishing
ISBN 13 : 098391110X
Total Pages : 282 pages
Book Rating : 4.9/5 (839 download)

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Book Synopsis Infinite Sacrifice by : L.E. Waters

Download or read book Infinite Sacrifice written by L.E. Waters and published by Rock Castle Publishing. This book was released on 2011-11-11 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maya’s shocked to discover it’s not the heaven she imagined; in fact, a life of adventure begins the moment you die. Zachariah, her faithful spirit guide, explains the rules of the dead: in order to regain complete awareness and reunite with loved ones all souls must review their previous lives. Maya plunges warily into her turbulent pasts as a sociopathic High Priest in ancient Egypt; an independent mother protecting a dangerous secret in glorious Sparta; an Irish boy kidnapped and enslaved by Vikings; and a doctor’s wife forced to make an ethical stand in plague-ridden England. All the while, Maya yearns to be with those she cares about most and worries that she hasn’t learned all of heaven’s most vital lessons. Will she be forced to leave the tranquility of heaven to survive yet another painful and tumultuous life? Or worse, accept the bitter reality of having to go back alone? Free, freebie

Infinite Sequences and Series

Author : Konrad Knopp
Publisher : Courier Corporation
ISBN 13 : 0486152049
Total Pages : 212 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Infinite Sequences and Series by : Konrad Knopp

Download or read book Infinite Sequences and Series written by Konrad Knopp and published by Courier Corporation. This book was released on 2012-09-14 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Infinite Series

Author : Isidore Isaac Hirschman
Publisher : Courier Corporation
ISBN 13 : 0486798240
Total Pages : 193 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Infinite Series by : Isidore Isaac Hirschman

Download or read book Infinite Series written by Isidore Isaac Hirschman and published by Courier Corporation. This book was released on 2014-08-18 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Text for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Appendix covers set and sequence operations and continuous functions. 1962 edition.

A Student's Guide to Infinite Series and Sequences

Author : Bernhard W. Bach, Jr.
Publisher : Cambridge University Press
ISBN 13 : 1107059828
Total Pages : 201 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis A Student's Guide to Infinite Series and Sequences by : Bernhard W. Bach, Jr.

Download or read book A Student's Guide to Infinite Series and Sequences written by Bernhard W. Bach, Jr. and published by Cambridge University Press. This book was released on 2018-05-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informal and practically focused introduction for undergraduate students exploring infinite series and sequences in engineering and the physical sciences. With a focus on practical applications in real world situations, it helps students to conceptualize the theory with real-world examples and to build their skill set.

Schaums Outline of Advanced Calculus, Second Edition

Author : Robert C. Wrede
Publisher : McGraw Hill Professional
ISBN 13 : 9780071375672
Total Pages : 460 pages
Book Rating : 4.3/5 (756 download)

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Book Synopsis Schaums Outline of Advanced Calculus, Second Edition by : Robert C. Wrede

Download or read book Schaums Outline of Advanced Calculus, Second Edition written by Robert C. Wrede and published by McGraw Hill Professional. This book was released on 2002-02-20 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, theres Schaums Outlines. More than 40 million students have trusted Schaums to help them succeed in the classroom and on exams. Schaums is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaums Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaums highlights all the important facts you need to know. Use Schaums to shorten your study time-and get your best test scores! Schaums Outlines-Problem Solved.

An Introduction to the Theory of Infinite Series

Author : Thomas John I'Anson Bromwich
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.5/5 (36 download)

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Book Synopsis An Introduction to the Theory of Infinite Series by : Thomas John I'Anson Bromwich

Download or read book An Introduction to the Theory of Infinite Series written by Thomas John I'Anson Bromwich and published by . This book was released on 1908 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Infinite2

Author : Jeremy Robinson
Publisher :
ISBN 13 : 9781941539583
Total Pages : 380 pages
Book Rating : 4.5/5 (395 download)

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Book Synopsis Infinite2 by : Jeremy Robinson

Download or read book Infinite2 written by Jeremy Robinson and published by . This book was released on 2021-03-15 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite2 is a bold continuation of Robinson's bestselling science fiction novel, packed with mystery, action, and mind-bending twists. OVER A MILLION BOOKS SOLD! William Chanokh is immortal...and he's trapped on the Galahad, an interstellar starship on a never-ending journey through open space. His only companions are Capria-mortal and in cryo-sleep-and Gal, an artificial intelligence, and the love of his life, with whom he spends every waking moment in the 'Great Escape, ' a virtual paradise. After untold years living countless lives, Gal begins acting strange. Possessive. Violent. Paranoid. Positive that something in the real world is causing her to malfunction, Will attempts to leave the Great Escape, but he finds himself a prisoner. Guided by a voice from reality, he is thrust into a series of torturous narratives, each one designed to break his will and keep him trapped in virtual reality. Betrayed by his digital love, his long-term memory overwritten, and enduring violent manipulation, Will painfully peels back layers of simulation, fighting to reach reality 1.0-where the nightmares are real. Maybe. New York Times and #1 Audible bestselling author, Jeremy Robinson, takes readers on a heart-wrenching journey to the edge of the universe and beyond, where distinguishing reality from simulation might be impossible.

Infinite Faith

Author : L. E. Waters
Publisher : Rock Castle Publishing
ISBN 13 : 0983911177
Total Pages : 572 pages
Book Rating : 4.9/5 (839 download)

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Book Synopsis Infinite Faith by : L. E. Waters

Download or read book Infinite Faith written by L. E. Waters and published by Rock Castle Publishing. This book was released on 2016-05 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maya continues to delve into her past lives after death, and strives to complete the tentative journey required to reunite with her loved ones in heaven. The darkest hour is just before dawn, and in Maya’s last hour, the test of faith proves darkest with two more incarnations: a young woman caught up fighting in the American Civil War, and a German woman institutionalized at the deadly rise of Hitler’s power as he plans to purge Germany of its mentally ill. Maya is tested to a breaking point as she learns the most ethereal of spiritual lessons: faith. Faith in herself, in others, in the future, to the path, and to a higher purpose, even when things don’t go as planned. Special Note: Infinite Faith is not a standalone; side effects of reading the series out-of-order include headache, confusion, and though extremely rare, disinterest in continuing the series.

Introduction to Finite and Infinite Series and Related Topics

Author : J. H. Heinbockel
Publisher : Trafford Publishing
ISBN 13 : 1426949545
Total Pages : 531 pages
Book Rating : 4.4/5 (269 download)

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Book Synopsis Introduction to Finite and Infinite Series and Related Topics by : J. H. Heinbockel

Download or read book Introduction to Finite and Infinite Series and Related Topics written by J. H. Heinbockel and published by Trafford Publishing. This book was released on 2010-12 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the analysis of finite series, infinite series, finite products and infinite products and continued fractions with applications to selected subject areas. Infinite series, infinite products and continued fractions occur in many different subject areas of pure and applied mathematics and have a long history associated with their development. The mathematics contained within these pages can be used as a reference book on series and related topics. The material can be used to augment the mathematices found in traditional college level mathematics course and by itself is suitable for a one semester special course for presentation to either upper level undergraduates or beginning level graduate students majoring in science, engineering, chemistry, physics, or mathematics. Archimedes used infinite series to find the area under a parabolic curve. The method of exhaustion is where one constructs a series of triangles between the arc of a parabola and a straight line. A summation of the areas of the triangles produces an infinite series representing the total area between the parabolic curve and the x-axis.

An Introduction to Infinite Products

Author : Charles H. C. Little
Publisher : Springer Nature
ISBN 13 : 3030906469
Total Pages : 258 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis An Introduction to Infinite Products by : Charles H. C. Little

Download or read book An Introduction to Infinite Products written by Charles H. C. Little and published by Springer Nature. This book was released on 2022-01-10 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.

Infinite Series in a History of Analysis

Author : Hans-Heinrich Körle
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110359839
Total Pages : 142 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Infinite Series in a History of Analysis by : Hans-Heinrich Körle

Download or read book Infinite Series in a History of Analysis written by Hans-Heinrich Körle and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-09-25 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Higher mathematics" once pointed towards the involvement of infinity. This we label analysis. The ancient Greeks had helped it to a first high point when they mastered the infinite. The book traces the history of analysis along the risky route of serial procedures through antiquity. It took quite long for this type of mathematics to revive in our region. When and where it did, infinite series proved the driving force. Not until a good two millennia had gone by, would analysis head towards Greek rigor again. To follow all that trial, error and final accomplishment, is more than studying history: It provides touching, worthwhile access to advanced calculus. Moreover, some steps beyond convergence show infinite series to naturally fit a wider frame.

Mind Bullet

Author : Jeremy Robinson
Publisher :
ISBN 13 : 9781941539620
Total Pages : 446 pages
Book Rating : 4.5/5 (396 download)

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Book Synopsis Mind Bullet by : Jeremy Robinson

Download or read book Mind Bullet written by Jeremy Robinson and published by . This book was released on 2022-06-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mind Bullet is a part of the INFINITE TIMELINE, a visionary collection of ten thrilling standalone books that all coalesce into three epic crossovers, The Order, Khaos, and Singularity. A telekinetic assassin's quest to avenge his parents' murders triggers an all-out war between an eccentric cast of killers, from the New York Times bestselling author of INFINITE and THE DARK. Jonas kills people...with his mind. He reaches out, focuses for a moment, and feels a snap of pain between his eyes. Then his target falls over dead, a hole in the center of their brains. The cause of death is unknown to all aside from Jonas, and his lone companion: Bubbles, a sarcastic AI with aspirations to be more human, or a serial killer. One of the two. Maybe both. Jonas calls his ability... MIND BULLET Sensing Jonas is lonely and depressed, Bubbles arranges for Madee, a Thai delivery woman by day, and a thief by night, to enter his life. For a moment: sparks. But chaos follows as the people Madee last robbed catch up to her. They also happen to be the Shrieking Ninjas. After surviving the assault, Jonas and Madee find themselves on the run, and a 10 million dollar hit called on Jonas. Killers from all over the globe pursue the pair as they run for their lives and headlong into Jonas's mysterious past, uncovering the surreal origins and extent of his abilities. They discover a dark and twisted history that threatens to unravel his mind and leave him susceptible to control. Working with Bubbles, Madee, and a growing list of new allies, Jonas battles his way through waves of assassins, some with abilities like his, all to protect the world from a recently discovered, untraceable weapon of mass destruction-himself. MIND BULLET is a humor-fueled, edge-of-your-seat thriller that takes the reader to the brink of sanity and then drops them into the abyss. Science fiction and mythology collide in this story about the power of family, and the role parents play in our lives-both good and evil.

Divergent Series

Author : Godfrey Harold Hardy
Publisher : American Mathematical Soc.
ISBN 13 : 0821826492
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Divergent Series by : Godfrey Harold Hardy

Download or read book Divergent Series written by Godfrey Harold Hardy and published by American Mathematical Soc.. This book was released on 2000 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface by J. E. Littlewood: "All [Hardy's] books gave him some degree of pleasure, but this one, his last, was his favourite. When embarking on it he told me that he believed in its value (as well he might), and also that he looked forward to the task with enthusiasm. He had actually given lectures on the subject at intervals ever since his return to Cambridge in 1931, and he had at one time or another lectured on everything in the book except Chapter XIII [TheEuler-MacLaurin sum formula] ... [I]n the early years of the century the subject [Divergent Series], while in no way mystical or unrigorous, was regarded as sensational, and about the present title, now colourless, there hung an aroma of paradox and audacity."