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Author: Graham Everest
Publisher: American Mathematical Soc.
ISBN: 1470423154
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.
Author: Graham Everest
Publisher: American Mathematical Soc.
ISBN: 1470423154
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.
Author: Michael J. Colebrook
Publisher: Rowman & Littlefield
ISBN: 1793651353
Category : Political Science
Languages : en
Pages : 203
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Book Description
The Recurrence of the End Times: Voegelin, Hegel, and the Stop-History Movements explores the deep connection between modern political ideologies and the secular eschatological hopes and dreams of a post-Christian society. Focusing primarily upon the thought of 20th century German émigré political scientist Eric Voegelin, the book argues that we cannot understand the globalized world in which we live unless we appreciate the lasting influence of the various "End of History" speculators—specifically, G.W.F Hegel, Alexandre Kojève, and Francis Fukuyama. Through a Voegelinian lens, he dissects the relationship between these three thinkers, also claiming that while Voegelin may have misunderstood Hegel, his critiques of the Hegelian approach to history offer fresh and important perspectives on the contemporary world. This makes a forceful argument that the idea of history as a teleological path, leading toward some goal—whether perfect harmony between nations, a technocratic utopia, a return to some romanticized idyllic “state of nature,” or what Kojève and Fukuyama called the “universal and homogenous State”—has vast, and perverse, implications for the trajectory of American foreign and domestic policy.
Author: Ethan Akin
Publisher: Springer Science & Business Media
ISBN: 9780306455506
Category : Mathematics
Languages : en
Pages : 292
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Book Description
This groundbreaking volume is the first to elaborate the theory of set families as a tool for studying the phenomenon of recurrence. The theory is implicit in such seminal works as Hillel Furstenberg's Recurrence in Ergodic Theory and Combinational Number Theory, but Ethan Akin's study elaborates it in detail, defining such elements of theory as: open families of special subsets the unification of several ideas associated with transitivity, ergodicity, and mixing the Ellis theory of enveloping semigroups for compact dynamical systems and new notions of equicontinuity, distality, and rigidity.
Author: G. W. Trompf
Publisher: Univ of California Press
ISBN: 0520312406
Category :
Languages : en
Pages : 593
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Book Description
The idea that history repeats itself has a long and intriguing history. This volume is concerned with the period of time in the Western tradition when its expressions were most numerous and fervent. The author shows that this idea should not be confined to its cyclical version, for such notions as reenactment, retribution, and renaissance also belong under the wide umbrella of "recurrence." He argues, moreover, that not only the Greco-Roman but also the biblical tradition contributed to the history of this idea. The old contrast between Judeo-Christian linear views of history and Greco-Roman cyclical views is brought into question. Beginning with Polybius, Trompf examines the manifold forms of recurrence thinking in Greek and Roman historiography, then turns his attention to biblical views of historical change, arguing that in Luke-Acts and in earlier Jewish writings an interest in the idea of history repeating itself was clearly demonstrated. Jewish and early Christian writers initiated and foreshadowed an extensive synthesizing of recurrence notions and models from both traditions, although the syntheses could vary with the context and dogmatic considerations. The Renaissance and Reformation intertwine classical and biblical notions of recurrence most closely, yet even in the sixteenth century some ideas distinct to each tradition, such as the Polybian conception of a "cycle of governments" and hte biblical notion of the "reenactment of significant events," were revived in stark separation from each other. The Idea of Historical Recurrence in Western Thought deals with a continuing but not always fruitful "dialogue" between the two great traditions of Western thought, a dialogue that did not stop short in the days of Machiavelli, but has been carried on to the present day. This study is the first half of a long story to be continued in a second volume on the idea of historical recurrence from Giambattista Vico to Arnold Toynbee. This title is part of UC Press's Voices Revived program, which commemorates University of California Press's mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1979.
Author: Joan Ramon Resina
Publisher: Rowman & Littlefield
ISBN: 149859400X
Category : Literary Criticism
Languages : en
Pages : 291
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Book Description
Repetition is constitutive of human life. Both the species and the individual develop through repetition. Unlike simple recall, repetition is permeated by the past and the present and is oriented toward the future. Repetition of central actions and events plays an important role in the lives of individuals and the life of society. It helps to create meaning and memory. Because repetition is a central aspect of human life, it plays a role in all social and cultural spheres. It is important for several branches of the humanities and social studies. This book presents studies of an array of repetitive phenomena and to show that repetition analysis is opening up a new field of study within single disciplines and interdisciplinary research. Recommended for scholars of literature, music, culture, and communication.
Author: Valerio Lucarini
Publisher: John Wiley & Sons
ISBN: 1118632192
Category : Mathematics
Languages : en
Pages : 325
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Book Description
Written by a team of international experts, Extremes and Recurrence in Dynamical Systems presents a unique point of view on the mathematical theory of extremes and on its applications in the natural and social sciences. Featuring an interdisciplinary approach to new concepts in pure and applied mathematical research, the book skillfully combines the areas of statistical mechanics, probability theory, measure theory, dynamical systems, statistical inference, geophysics, and software application. Emphasizing the statistical mechanical point of view, the book introduces robust theoretical embedding for the application of extreme value theory in dynamical systems. Extremes and Recurrence in Dynamical Systems also features: • A careful examination of how a dynamical system can serve as a generator of stochastic processes • Discussions on the applications of statistical inference in the theoretical and heuristic use of extremes • Several examples of analysis of extremes in a physical and geophysical context • A final summary of the main results presented along with a guide to future research projects • An appendix with software in Matlab® programming language to help readers to develop further understanding of the presented concepts Extremes and Recurrence in Dynamical Systems is ideal for academics and practitioners in pure and applied mathematics, probability theory, statistics, chaos, theoretical and applied dynamical systems, statistical mechanics, geophysical fluid dynamics, geosciences and complexity science. VALERIO LUCARINI, PhD, is Professor of Theoretical Meteorology at the University of Hamburg, Germany and Professor of Statistical Mechanics at the University of Reading, UK. DAVIDE FARANDA, PhD, is Researcher at the Laboratoire des science du climat et de l’environnement, IPSL, CEA Saclay, Université Paris-Saclay, Gif-sur-Yvette, France. ANA CRISTINA GOMES MONTEIRO MOREIRA DE FREITAS, PhD, is Assistant Professor in the Faculty of Economics at the University of Porto, Portugal. JORGE MIGUEL MILHAZES DE FREITAS, PhD, is Assistant Professor in the Department of Mathematics of the Faculty of Sciences at the University of Porto, Portugal. MARK HOLLAND, PhD, is Senior Lecturer in Applied Mathematics in the College of Engineering, Mathematics and Physical Sciences at the University of Exeter, UK. TOBIAS KUNA, PhD, is Associate Professor in the Department of Mathematics and Statistics at the University of Reading, UK. MATTHEW NICOL, PhD, is Professor of Mathematics at the University of Houston, USA. MIKE TODD, PhD, is Lecturer in the School of Mathematics and Statistics at the University of St. Andrews, Scotland. SANDRO VAIENTI, PhD, is Professor of Mathematics at the University of Toulon and Researcher at the Centre de Physique Théorique, France.
Author: Ned Lukacher
Publisher: Duke University Press
ISBN: 9780822322733
Category : Literary Criticism
Languages : en
Pages : 196
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Book Description
This work is a reading of the way humans have attempted to talk about the nature of time, in particular the idea of the periodic creation and destruction of the world and the cosmos--eternal recurrence.
Author: Karl Löwith
Publisher: Univ of California Press
ISBN: 9780520065192
Category : Philosophy
Languages : en
Pages : 312
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Book Description
For Lowith, the centerpiece of Nietzsche's thought is the doctrine of eternal recurrence, a notion which Lowith, unlike Heidegger, deems incompatible with the will to power.
Author: Lawrence Hatab
Publisher: Routledge
ISBN: 1135456313
Category : Philosophy
Languages : en
Pages : 222
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Book Description
In this book Lawrence Hatab provides an accessible and provocative exploration of one of the best-known and still most puzzling aspects of Nietzsche's thought: eternal recurrence, the claim that life endlessly repeats itself identically in every detail. Hatab argues that eternal recurrence can and should be read literally, in just the way Nietzsche described it in the texts. The book offers a readable treatment of most of the core topics in Nietzsche's philosophy, all discussed in the light of the consummating effect of eternal recurrence. Although Nietzsche called eternal recurrence his most fundamental idea, most interpreters have found it problematic or needful of redescription in other terms. For this reason Hatab's book is an important and challenging contribution to Nietzsche scholarship.
Author: Charles T. Call
Publisher: Georgetown University Press
ISBN: 9781589018952
Category : Political Science
Languages : en
Pages : 328
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Book Description
Why does peace fail? More precisely, why do some countries that show every sign of having successfully emerged from civil war fall once again into armed conflict? What explains why peace "sticks" after some wars but not others? In this illuminating study, Charles T. Call examines the factors behind fifteen cases of civil war recurrence in Africa, Asia, the Caucasus, and Latin America. He argues that widely touted explanations of civil war—such as poverty, conflict over natural resources, and weak states—are far less important than political exclusion. Call’s study shows that inclusion of former opponents in postwar governance plays a decisive role in sustained peace. Why Peace Fails ultimately suggests that the international community should resist the temptation to prematurely withdraw resources and peacekeepers after a transition from war. Instead, international actors must remain fully engaged with postwar elected governments, ensuring that they make room for former enemies.
