Modular Forms, a Computational Approach

Modular Forms, a Computational Approach
Title Modular Forms, a Computational Approach PDF eBook
Author William A. Stein
Publisher American Mathematical Soc.
Pages 290
Release 2007-02-13
Genre Mathematics
ISBN 0821839608

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This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.

Investigating Iwo

Investigating Iwo
Title Investigating Iwo PDF eBook
Author Breanne Robertson
Publisher
Pages 371
Release 2019
Genre Flags
ISBN 9781732003071

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"Investigating Iwo encourages us to explore the connection between American visual culture and World War II, particularly how the image inspired Marines, servicemembers, and civilians to carry on with the war and to remember those who made the ultimate sacrifice to ensure victory over the Axis Powers. Chapters shed light on the processes through which history becomes memory and gains meaning over time. The contributors ask only that we be willing to take a closer look, to remain open to new perspectives that can deepen our understanding of familiar topics related to the flag raising, including Rosenthal's famous picture, that continue to mean so much to us today"--

Encyclopedia of Communication Theory

Encyclopedia of Communication Theory
Title Encyclopedia of Communication Theory PDF eBook
Author Stephen W. Littlejohn
Publisher SAGE
Pages 1193
Release 2009-08-18
Genre Language Arts & Disciplines
ISBN 1412959373

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The Encyclopedia of Communication Theory provides students and researchers with a comprehensive two-volume overview of contemporary communication theory. Reference librarians report that students frequently approach them seeking a source that will provide them with a quick overview of a particular theory or theorist - just enough to help them grasp the general concept or theory and its relation to the discipline as a whole. Communication scholars and teachers also occasionally need a quick reference for theories. Edited by the co-authors of the best-selling textbook on communication theory and drawing on the expertise of an advisory board of 10 international scholars and nearly 200 contributors from 10 countries, this work finally provides such a resource. More than 300 entries address topics related not only to paradigms, traditions, and schools, but also metatheory, methodology, inquiry, and applications and contexts. Entries cover several orientations, including psycho-cognitive; social-interactional; cybernetic and systems; cultural; critical; feminist; philosophical; rhetorical; semiotic, linguistic, and discursive; and non-Western. Concepts relate to interpersonal communication, groups and organizations, and media and mass communication. In sum, this encyclopedia offers the student of communication a sense of the history, development, and current status of the discipline, with an emphasis on the theories that comprise it.

Electoral Engineering

Electoral Engineering
Title Electoral Engineering PDF eBook
Author Pippa Norris
Publisher Cambridge University Press
Pages 384
Release 2004-02-09
Genre Political Science
ISBN 9780521536714

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From Kosovo to Kabul, the last decade witnessed growing interest in ?electoral engineering?. Reformers have sought to achieve either greater government accountability through majoritarian arrangements or wider parliamentary diversity through proportional formula. Underlying the normative debates are important claims about the impact and consequences of electoral reform for political representation and voting behavior. The study compares and evaluates two broad schools of thought, each offering contracting expectations. One popular approach claims that formal rules define electoral incentives facing parties, politicians and citizens. By changing these rules, rational choice institutionalism claims that we have the capacity to shape political behavior. Alternative cultural modernization theories differ in their emphasis on the primary motors driving human behavior, their expectations about the pace of change, and also their assumptions about the ability of formal institutional rules to alter, rather than adapt to, deeply embedded and habitual social norms and patterns of human behavior.

Fostering Integrity in Research

Fostering Integrity in Research
Title Fostering Integrity in Research PDF eBook
Author National Academies of Sciences, Engineering, and Medicine
Publisher National Academies Press
Pages 327
Release 2018-01-13
Genre Science
ISBN 0309391253

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The integrity of knowledge that emerges from research is based on individual and collective adherence to core values of objectivity, honesty, openness, fairness, accountability, and stewardship. Integrity in science means that the organizations in which research is conducted encourage those involved to exemplify these values in every step of the research process. Understanding the dynamics that support â€" or distort â€" practices that uphold the integrity of research by all participants ensures that the research enterprise advances knowledge. The 1992 report Responsible Science: Ensuring the Integrity of the Research Process evaluated issues related to scientific responsibility and the conduct of research. It provided a valuable service in describing and analyzing a very complicated set of issues, and has served as a crucial basis for thinking about research integrity for more than two decades. However, as experience has accumulated with various forms of research misconduct, detrimental research practices, and other forms of misconduct, as subsequent empirical research has revealed more about the nature of scientific misconduct, and because technological and social changes have altered the environment in which science is conducted, it is clear that the framework established more than two decades ago needs to be updated. Responsible Science served as a valuable benchmark to set the context for this most recent analysis and to help guide the committee's thought process. Fostering Integrity in Research identifies best practices in research and recommends practical options for discouraging and addressing research misconduct and detrimental research practices.

Music: A Mathematical Offering

Music: A Mathematical Offering
Title Music: A Mathematical Offering PDF eBook
Author Dave Benson
Publisher Cambridge University Press
Pages 426
Release 2007
Genre Mathematics
ISBN 0521853877

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This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.

Before and After Superflat

Before and After Superflat
Title Before and After Superflat PDF eBook
Author Adrian Favell
Publisher
Pages 0
Release 2011
Genre Art and society
ISBN 9789881506412

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This is a history of the Japanese art world from 1990 up to the tsunami of March 2011, and its struggle to find a voice amidst Japan's economic decline and China's economic ascent. It looks at how the pop-culture fantasies of Takashi Murakami, Yoshitomo Nara and the other artists of the Superflat movement came to dominate the art of Japan today. It also delves into what lies behind their imagery of a childish and decadent society unable to face reality.