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Lectures On Divergent Series
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Book Synopsis Ramanujan Summation of Divergent Series by : Bernard Candelpergher
Download or read book Ramanujan Summation of Divergent Series written by Bernard Candelpergher and published by Springer. This book was released on 2017-09-12 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.
Book Synopsis Divergent Series, Summability and Resurgence I by : Claude Mitschi
Download or read book Divergent Series, Summability and Resurgence I written by Claude Mitschi and published by Springer. This book was released on 2016-08-27 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. The first of a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra.
Book Synopsis From Divergent Power Series to Analytic Functions by : Werner Balser
Download or read book From Divergent Power Series to Analytic Functions written by Werner Balser and published by Springer. This book was released on 2006-11-15 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
Book Synopsis Divergent Series by : Godfrey H. Hardy
Download or read book Divergent Series written by Godfrey H. Hardy and published by American Mathematical Society. This book was released on 2024-06-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Review of the original edition: This is an inspiring textbook for students who know the theory of functions of real and complex variables and wish further knowledge of mathematical analysis. There are no problems displayed and labelled “problems,” but one who follows all of the arguments and calculations of the text will find use for his ingenuity and pencil. The book deals with interesting and important problems and topics in many fields of mathematical analysis, to an extent very much greater than that indicated by the titles of the chapters. It is, of course, an indispensable handbook for those interested in divergent series. It assembles a considerable part of the theory of divergent series, which has previously existed only in periodical literature. Hardy has greatly simplified and improved many theories, theorems and proofs. In addition, numerous acknowledgements show that the book incorporates many previously unpublished results and improvements of old results, communicated to Hardy by his colleagues and by others interested in the book. —Mathematical Reviews
Book Synopsis Divergent Series, Summability and Resurgence III by : Eric Delabaere
Download or read book Divergent Series, Summability and Resurgence III written by Eric Delabaere and published by Springer. This book was released on 2016-06-28 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called “bridge equation”, which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1.
Download or read book We Can Be Mended written by Veronica Roth and published by HarperCollins. This book was released on 2018-01-09 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Globally bestselling author Veronica Roth returns to the world of Divergent in this revealing short-story epilogue that takes place five years after the stunning events of Allegiant. As Tobias struggles to understand and move past his fears, the world he once knew has changed beyond recognition. Fringe-dwellers, ex-faction members, Bureau dropouts, and migrants now coexist in the rebuilt streets of Chicago. It’s a new, better world—one where he isn't sure how to belong. As everyone else seems to move forward, Tobias is still haunted by those who couldn’t. But new connections from old friends help him begin to heal—and mend. And don't miss The Fates Divide, Veronica Roth's powerful sequel to the bestselling Carve the Mark!
Download or read book Colloquium Lectures written by and published by . This book was released on 1905 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Divergent Mind by : Jenara Nerenberg
Download or read book Divergent Mind written by Jenara Nerenberg and published by HarperCollins. This book was released on 2020-03-24 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: AUDIBLE EDITOR'S PICK A paradigm-shifting study of neurodivergent women—those with ADHD, autism, synesthesia, high sensitivity, and sensory processing disorder—exploring why these traits are overlooked in women and how society benefits from allowing their unique strengths to flourish. As a successful Harvard and Berkeley-educated writer, entrepreneur, and devoted mother, Jenara Nerenberg was shocked to discover that her “symptoms”--only ever labeled as anxiety-- were considered autistic and ADHD. Being a journalist, she dove into the research and uncovered neurodiversity—a framework that moves away from pathologizing “abnormal” versus “normal” brains and instead recognizes the vast diversity of our mental makeups. When it comes to women, sensory processing differences are often overlooked, masked, or mistaken for something else entirely. Between a flawed system that focuses on diagnosing younger, male populations, and the fact that girls are conditioned from a young age to blend in and conform to gender expectations, women often don’t learn about their neurological differences until they are adults, if at all. As a result, potentially millions live with undiagnosed or misdiagnosed neurodivergences, and the misidentification leads to depression, anxiety, low self-esteem, and shame. Meanwhile, we all miss out on the gifts their neurodivergent minds have to offer. Divergent Mind is a long-overdue, much-needed answer for women who have a deep sense that they are “different.” Sharing real stories from women with high sensitivity, ADHD, autism, misophonia, dyslexia, SPD and more, Nerenberg explores how these brain variances present differently in women and dispels widely-held misconceptions (for example, it’s not that autistic people lack sensitivity and empathy, they have an overwhelming excess of it). Nerenberg also offers us a path forward, describing practical changes in how we communicate, how we design our surroundings, and how we can better support divergent minds. When we allow our wide variety of brain makeups to flourish, we create a better tomorrow for us all.
Download or read book Insurgent written by Veronica Roth and published by Harper Collins. This book was released on 2012-05-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: One choice can destroy you. Veronica Roth's second #1 New York Times bestseller continues the dystopian thrill ride that began in Divergent. A hit with both teen and adult readers, Insurgent is the action-packed, emotional adventure that inspired the major motion picture starring Shailene Woodley, Theo James, Ansel Elgort, and Octavia Spencer. As war surges in the factions of dystopian Chicago all around her, Tris attempts to save those she loves—and herself—while grappling with haunting questions of grief and forgiveness, identity and loyalty, politics and love. And don't miss The Fates Divide, Veronica Roth's powerful sequel to the bestselling Carve the Mark!
Book Synopsis A Course of Modern Analysis by : E. T. Whittaker
Download or read book A Course of Modern Analysis written by E. T. Whittaker and published by Cambridge University Press. This book was released on 1927 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.
Book Synopsis The Physics of Climate Change by : Lawrence M. Krauss
Download or read book The Physics of Climate Change written by Lawrence M. Krauss and published by Post Hill Press. This book was released on 2021-01-26 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Brilliant and fundamental, this is the necessary book about our prime global emergency. Here you’ll find the facts, the processes, the physics of our complex and changing climate, but delivered with eloquence and urgency. Lawrence Krauss writes with a clarity that transcends mere politics. Prose and poetry were never better bedfellows.” —Ian McEwan, Booker Prize-winning author of Solar and Machines Like Me "The ideal book for understanding the science of global warming..at once elegant, rigorous, and timely." — Elizabeth Kolbert, Pulitzer Prizewinning author of The Sixth Extinction “A brief, brilliant, and charming summary of what physicists know about climate change and how they learned it.” —Sheldon Glashow, Nobel Laureate in Physics, Metcalf Distinguished Professor Emeritus, Boston University “The distinguished scientist Lawrence Krauss turns his penetrating gaze on the most pressing existential threat facing our world: climate change. It is brimming with information lucidly analysed. Such hope as there is lies in science, and a physicist of Dr. Krauss’s imaginative versatility is unusually qualified to offer it.” —Richard Dawkins, author of The Blind Watchmaker and Science in the Soul “Lucid and gripping, this study of the most severe challenge humans have ever faced leads the reader from the basic physics of climate change to recognition of the damage that humans have already caused and on to the prospects that lie ahead if we do not change course soon.” —Noam Chomsky, Laureate Professor, University of Arizona, author of Internationalism or Extinction? “Lawrence Krauss tells the story of climate change with erudition, urgency, and passion. It is our great good luck that one of our most brilliant scientists is also such a gifted writer. This book will change the way we think about the future.” —Jennifer Finney Boylan, author of Good Boy and She’s Not There “Everything on climate change that I’ve seen is either dumbed down and bossy or written for other climate scientists. I’ve been looking for a book that can let me, a layperson, understand the science. This book does just what I was looking for. It is important.” —Penn Jillette, Magician, author of Presto! and God, No! “The renowned physicist Lawrence Krauss makes the science behind one of the most important issues of our time accessible to all.” —Richard C. J. Somerville, Distinguished Professor Emeritus, Scripps Institution of Oceanography, University of California, San Diego “Lawrence Krauss is a fine physicist, a talented writer, and a scientist deeply engaged with public affairs. His book deserves wide readership. The book’s eloquent exposition of the science and the threats should enlighten all readers and motivate them to an urgent concern about our planet’s future.” —Lord Martin Rees, Astronomer Royal, former president of the Royal Society, author of On the Future: Prospects for Humanity
Book Synopsis Divergent Paths by : Richard A. Posner
Download or read book Divergent Paths written by Richard A. Posner and published by Harvard University Press. This book was released on 2016-01-04 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Judges and legal scholars talk past one another, if they have any conversation at all. Academics criticize judicial decisions in theoretical terms, which leads many judges to dismiss academic discourse as divorced from reality. Richard Posner reflects on the causes and consequences of this widening gap and what can be done to close it.
Download or read book Chosen Ones written by Veronica Roth and published by William Morrow. This book was released on 2020 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mega-selling author of the Divergent franchise delivers her masterful first novel for adults.
Book Synopsis Divergent Collector's Edition by : Veronica Roth
Download or read book Divergent Collector's Edition written by Veronica Roth and published by Harper Collins. This book was released on 2014-10-21 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The #1 New York Times bestseller that started a worldwide phenomenon and inspired a major motion picture is now available in a beautifully designed Collector's Edition. This deluxe package features 72 pages of bonus content, including: Two essays by Veronica Roth, including excerpts from early drafts of Divergent An essay about the psychology behind fear and the "exposure therapy" of Dauntless initiation Artistic renderings of the Choosing Ceremony Bowls An excerpt from the movie script Favorite quotes from Divergent, illustrated by fellow Initiates A map of the Dauntless compound Divergent discussion questions This edition makes a great gift for established fans who want to expand their Divergent library or who already own the Insurgent Collector's Edition; readers new to the series who want a fuller reading experience; and fans of the feature film. Taking place in a futuristic Chicago in which society is divided into five factions, Divergent is the gripping story of a dystopian world transformed by courage, self-sacrifice, and love. And don't miss The Fates Divide, Veronica Roth's powerful sequel to the bestselling Carve the Mark!
Book Synopsis Divergent (Divergent Trilogy, Book 1) by : Veronica Roth
Download or read book Divergent (Divergent Trilogy, Book 1) written by Veronica Roth and published by HarperCollins UK. This book was released on 2013-11-07 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The explosive debut by No. 1 New York Times bestselling author Veronica Roth. DIVERGENT – a major motion picture series.
Book Synopsis Six Lectures on Recent Researches in the Theory of Fourier Series by : Ganesh Prasad
Download or read book Six Lectures on Recent Researches in the Theory of Fourier Series written by Ganesh Prasad and published by . This book was released on 1928 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Insurgent Movie Tie-in Edition by : Veronica Roth
Download or read book Insurgent Movie Tie-in Edition written by Veronica Roth and published by Katherine Tegen Books. This book was released on 2015-02-17 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique edition of the second book in Veronica Roth's Divergent series features cover artwork from the major motion picture of Insurgent starring Shailene Woodley, Theo James, Ansel Elgort, and Octavia Spencer. One choice can destroy you. Veronica Roth's second #1 New York Times bestseller continues the dystopian thrill ride that began in Divergent. Fans of the Divergent films—young and old—will find just as much adrenaline-inducing action and as many thought-provoking themes in these pages as on the screen. This paperback edition includes special bonus content by Veronica Roth. As war surges in the factions of dystopian Chicago, Tris attempts to save those she loves—and herself—while grappling with haunting questions of grief and forgiveness, identity and loyalty, politics and love. And don't miss The Fates Divide, Veronica Roth's powerful sequel to the bestselling Carve the Mark!
