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Valuable as both a text and a reference, this concise monograph starts with a consideration of the calculus of finite differences and advances to discussions of the gamma and psi functions and other methods of summation. Subsequent chapters offer a summation of tables and an examination of infinite sums. The treatment concludes with a table of finite sums and helpful indexes.This volume was written by a prominent mathematician and educator whose interests encompassed the history of mathematics, statistics, modeling in economics, mathematical physics, and other disciplines. The book is suitable for students, researchers, and applied mathematicians in many areas of mathematics, computer science, and engineering.

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.

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.

CT Summation iBlaze gives the user complete control over litigation evidence by bringing all you need―transcripts, documents, issues, and events, to your fingertips in one easy-to-use software program. Working in close collaboration with CT Summation, Tom O'Connor has developed this easy-to-understand guide designed to quickly get you up and running on CT Summation software. Covering the latest version of iBlaze, the book features step-by-step instructions on the functions of iBlaze and how to get the most from this powerful program.

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A priceless powerhouse of prosecutorial guidance! Learn to solidfy cases every step of the way, from the first swing of the judge's gavel to the last. Perfect for practicing prosecutors, law enforcement pros who provide the elements that help win cases and everyone in between...including law students! You'll get analyses of 5 top attributes of successful prosecutors -instruction for crafting compelling opening statements & jury-swaying summations -insider tips for selecting the right jury -advice for using questions with surgical precision to dissect testimony and reveal truth -plus case-winning witness prep instructions!

British Cellist Jamie Walton explores the unique atmosphere of Holy Trinity Church, Blythburgh to perform Britten's Three Solo Suites for Cello. The Suites are the summation of the long-standing friendship between Britten and Rostropovich, with the passionate third in particular inspired by the Russian cellist's rich and romantic performances of Bach's unaccompanied suites.

Crafted from the finest quality mouth-blown borosilicate glass, the Moderna double-wall whiskey glass is the summation of the Ozeri Artisan Series of award-winning handcrafted drinkware. Both heat and condensation-resistant, the Ozeri whiskey glasses feature double-wall insulation that preserves a spirit's ideal temperature, structure, and notes within the sanctuary of a suspended inner chamber. Shaped with a modern, twisted flair, the Ozeri whiskey glasses are crafted from durable, stain-resistant borosilicate glass. The double-wall construction prevents exterior heat from reaching the inner walls, and condensation from forming on the outer walls. In addition to fine whiskeys, the Ozeri glasses serve as an excellent vessel for Tequila, Vodka, Rum, Cognac, Soju, hot or chilled Sake, and more. Ships in an elegant and carefully packed color-printed gift box and backed by Ozeri's No-Hassle warranty. Each glass measures 3.6 in. x 3.6 in. x 4.3 in. and holds up to 10 oz. (300 ml). Color: Clear.

Gerhard Richter’s ongoing, encyclopedic Atlas project began in 1964, and now comprises more than 5,000 gridded photographs, diagrams, drawings and sketches. As an image archive, work tool and artist’s book, Atlas sits at the very heart of Richter’s practice, offering a massive summation of his masterful explorations of the tensions between photography and painting, history and memory, perception and representation. As a publication, Atlas has gone through numerous editions, each new volume expanding on the previous with elaborations of persistent themes. This book provides a critical tool for navigating Atlas, bringing together Richter’s own writings alongside commentaries by the art historians and curators Armin Zweite, Jean-François Chevrier, Benjamin H.D. Buchloh, Lynne Cooke and Helmut Friedel. Originally published in 2003 to coincide with the Whitechapel Gallery’s exhibition Gerhard Richter: Atlas, this updated edition also includes a review of the exhibition by Adrian Searle.

Bestselling classical historian Barry Strauss delivers “an exceptionally accessible history of the Roman Empire...much of Ten Caesars reads like a script for Game of Thrones” (The Wall Street Journal)—a summation of three and a half centuries of the Roman Empire as seen through the lives of ten of the most important emperors, from Augustus to Constantine.In this essential and “enlightening” (The New York Times Book Review) work, Barry Strauss tells the story of the Roman Empire from rise to reinvention, from Augustus, who founded the empire, to Constantine, who made it Christian and moved the capital east to Constantinople. During these centuries Rome gained in splendor and territory, then lost both. By the fourth century, the time of Constantine, the Roman Empire had changed so dramatically in geography, ethnicity, religion, and culture that it would have been virtually unrecognizable to Augustus. Rome’s legacy remains today in so many ways, from language, law, and architecture to the seat of the Roman Catholic Church. Strauss examines this enduring heritage through the lives of the men who shaped it: Augustus, Tiberius, Nero, Vespasian, Trajan, Hadrian, Marcus Aurelius, Septimius Severus, Diocletian and Constantine. Over the ages, they learned to maintain the family business—the government of an empire—by adapting when necessary and always persevering no matter the cost. Ten Caesars is a “captivating narrative that breathes new life into a host of transformative figures” (Publishers Weekly). This “superb summation of four centuries of Roman history, a masterpiece of compression, confirms Barry Strauss as the foremost academic classicist writing for the general reader today” (The Wall Street Journal).

Thomas Jefferson's design for the University of Virginia is widely hailed as a masterpiece. It is his greatest architectural accomplishment, the summation of his quest for intellectual freedom. The story of the University encompasses the political and architectural worlds, as Jeffeson struggled against great opposition to establish a new type of educational institution. Thomas Jefferson's Academical Village offers a comprehensive look at Jefferson's design for the University, at how it came into being, at the different perecptions of its successes and failures, and at the alterations that have taken place down through the years.The revised edition incorporates research that has been ongoing since the book first appeared in 1993, and includes a preface by Richard Guy Wilson, essays on architecture and education and the Lawn, additional architectural drawings and historic photographs, a foreword by President John T. Casteen III, and numerous color illustrations.

Archipelago is A. Richard Williams's summation of his life in architecture, enriched by his reflections on all that architecture has meant to him. Looking back on a career spanning seven decades as an architect and educator, not only does Williams discuss his personal achievements with design, materials, and sites, but he contemplates the importance of friendships, the lessons of heroes, the inspiration of universities, and the revelations of travel. His affection for diverse locales reveals a heart ever open to appreciating the wonders of oceans and deserts, great cities and remote cabins, churches and libraries, forests and stone.

The acclaimed collection of fantastic fiction features entries from established authors and talented newcomers--including Scott Bradfield, Charles de Lint, Nancy Kress, Tanith Lee, and Nicholas Royle--along with editors' summations of the year in fantasy and horror.

From Gloria Swanson's 1918 Hollywood bungalow to Brad Pitt's Beverly Hills estate, Movie Star Homes: The Famous to the Forgotten profiles the extravagant, lavish, and eccentric residences of the rich and famous. Each of the entries includes a photo of the star and brief summation of the star's career, the address of the star's home, a photo of the home as it looks today, and fascinating facts about the residence. In addition to magnificent mansions, the homes where celebrities lived before they became famous are also featured, such as Natalie Wood's humble 1945 residence and the home of Buster Keaton before he built his famed Italian villa in Beverly Hills.

"In all eras there have been artists who have aspired to encyclopedic summation of the world, to find a form to accommodate the mess," as Samuel Beckett once put it. The Renaissance marked the juncture at which it became impossible for any one person to have read every book in existence (just as books became widely available for the first time, ironically); today it would be a feat even to count the number of toothpastes in your average grocery store. Andreas Gursky's photographs are merciless in their vertiginous will to make every last tube of toothpaste count, to compel every constituent into legibility. His optical fanaticism is not an effect of specific consumerist critique so much as a desire to set before the eye what was deemed too much for the mind, pressing the extreme surfeit of the world's contents against its limits. For this volume, Gursky has chosen more than 150 works from his fund of photographs, reaching back to his student days at the Folkwang Hochschule Essen and his studies with Bernd and Hilla Becher at the Kunstakademie Düsseldorf. The earliest exposures here include the Desk Attendants series and other unpublished photographs, and the most recent images were conceived especially for the book. Every single exposure in Gursky's encyclopedic morphology is a vital piece in the puzzle, which, over the course of his 28-year career, has amounted to an encyclopedia of the unencompassable.

Precisions on the Present State of Architecture and City Planning, or Precisions as the book is commonly known, originated from a series of ten lectures presented by Le Corbusier in Buenos Aires in 1929. Concise summations of the Swiss-born French architect’s pioneering philosophy, the lectures contain some of Le Corbusier’s most compelling aphorisms and cover topics from technique, design and human scale, and the 1927 League of Nations competition to the teaching of architecture and an analysis of the transformation of his own work over time. On his return, Le Corbusier reconstructed the lectures, publishing them in French in 1930. Published to honor the fiftieth anniversary of Le Corbusier’s passing, this new and expanded edition presents the Precisions lectures to a new audience. During the lectures, Le Corbusier punctuated his points with a series of improvised crayon-on-paper drawings. This is the first edition to reproduce all forty drawings in color. The book also includes Le Corbusier’s introduction, appended in the 1960s, which describes the tremendous impact the city of Buenos Aires had on the architect—its beauty and vast potential, as well as the considerable challenges presented by this city “trembling on the verge of great works.” A second, new introduction by British art historian Tim Benton places the lectures in context with the larger body of Le Corbusier’s work and its lasting significance. Finally, an appendix has been added to this edition to provide new generations of architects and students with a brief description of key figures and events discussed. For many, including Le Corbusier himself, the Precisions lectures marked an important shift in the architect’s thinking and are considered one of his most mature statements on modern architectural revolution. This new edition sheds light on the principles that informed his work.

Ocoeur's latest album a Parallel Life finds Franck Zaragoza showcasing his adeptness at fusing thoughtfully crafted melodies with twitchingly syncopated techno. in a recent interview Berlin music portal Kultmucke introduced Zaragoza something of an IDM prodigy and while that's a fair summation due to his preference for malleable beatwork and his use of heavily processed field recordings there's more there than simple glitchery. Zaragoza's melodies, while often shrouded in hazes of static, affect

Limited thirteen 180gm vinyl LPs including 60 page booklet. Roy Orbison - The MGM Years is a summation of the iconic rockers years with MGM Records. This set spans the years 1965-1973 and includes 11 studio albums (one previously unreleased), one soundtrack, and one brand new compilation of b-sides and singles! Each album has been fully remixed and remastered with restored original artwork to return them to their original glory. Includes the long sought after The Fastest Guitar Alive soundtrac

Limited 180 gram heavyweight vinyl LP pressing. The Best of The B-52's: Dance This Mess Around is an excellent summation of the group's late-1970s/early 1980s heyday, featuring such staples as 'Wig', 'Give Me Back My Man', 'Song For A Future Generation', '52 Girls', 'Private Idaho', 'Strobe Light', 'Devil in My Car', 'Planet Claire' and 'Rock Lobster'. It is arguably the best compilation of the group's work. Dance This Mess Around is a first-rate survey of the band's best (and most groundbreakin