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The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series

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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 685/5 ( reviews)

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Book Synopsis The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series by : Ken Ono

Download or read book The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series written by Ken Ono. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 1.

The web of modularity

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Release : 2004
Genre :
Kind : eBook
Book Rating : 681/5 ( reviews)

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Book Synopsis The web of modularity by : Ken Ono

Download or read book The web of modularity written by Ken Ono. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt:

Modular Web Design

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Release : 2010-04-07
Genre : Computers
Kind : eBook
Book Rating : 865/5 ( reviews)

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Book Synopsis Modular Web Design by : Nathan Curtis

Download or read book Modular Web Design written by Nathan Curtis. This book was released on 2010-04-07. Available in PDF, EPUB and Kindle. Book excerpt: User experience design teams often suffer from a decentralized, blank canvas approach to creating and documenting a design solution for each new project. As teams repeatedly reinvent screen designs, inconsistency results, and IT teams scramble to pick up the pieces. Pattern libraries only go so far, suggesting general solutions to common problems instead of offering concrete, specific design treatments. At times, documented solutions turn into a costly mess of unclear expectations, unrealistic goals, and abandoned work. Enter components, each of which represents a chunk of a Web page. Designers can produce wireframes, mockups, or markup far more efficiently reusing components based on an established design system. Rather than limit innovation, components enable designers to render solved design frameworks quickly and to focus on the problem at hand, drastically improving the quality and rate of production. In addition, teams develop a deeper baseline for collaboration, a platform for governance, and a structure for useful and predictable documentation. This book defines the role of components and why they matter, maps out how to organize and build a component library, discusses how to use components in practice, and teaches a process for documenting and maintaining components.

Modularity

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Author :
Release : 2005
Genre : Computers
Kind : eBook
Book Rating : 268/5 ( reviews)

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Book Synopsis Modularity by : Werner Callebaut

Download or read book Modularity written by Werner Callebaut. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: Modularity—the attempt to understand systems as integrations of partially independent and interacting units—is today a dominant theme in the life sciences, cognitive science, and computer science. The concept goes back at least implicitly to the Scientific (or Copernican) Revolution, and can be found behind later theories of phrenology, physiology, and genetics; moreover, art, engineering, and mathematics rely on modular design principles. This collection broadens the scientific discussion of modularity by bringing together experts from a variety of disciplines, including artificial life, cognitive science, economics, evolutionary computation, developmental and evolutionary biology, linguistics, mathematics, morphology, paleontology, physics, theoretical chemistry, philosophy, and the arts. The contributors debate and compare the uses of modularity, discussing the different disciplinary contexts of "modular thinking" in general (including hierarchical organization, near-decomposability, quasi-independence, and recursion) or of more specialized concepts (including character complex, gene family, encapsulation, and mosaic evolution); what modules are, why and how they develop and evolve, and the implication for the research agenda in the disciplines involved; and how to bring about useful cross-disciplinary knowledge transfer on the topic. The book includes a foreword by the late Herbert A. Simon addressing the role of near-decomposability in understanding complex systems. Contributors: Lee Altenberg, Lauren W. Ancel-Meyers, Carl Anderson, Robert B. Brandon, Angela D. Buscalioni, Raffaele Calabretta, Werner Callebaut, Anne De Joan, Rafael Delgado-Buscalioni, Gunther J. Eble, Walter Fontana, Fernand Gobet, Alicia de la Iglesia, Slavik V. Jablan, Luigi Marengo, Daniel W. McShea, Jason Mezey, D. Kimbrough Oller, Domenico Parisi, Corrado Pasquali, Diego Rasskin-Gutman, Gerhard Schlosser, Herbert A. Simon, Roger D. K. Thomas, Marco Valente, Boris M. Velichkovsky, Gunter P. Wagner, Rasmus G. Winter Vienna Series in Theoretical Biology

Modular Forms, a Computational Approach

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Release : 2007-02-13
Genre : Mathematics
Kind : eBook
Book Rating : 608/5 ( reviews)

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Book Synopsis Modular Forms, a Computational Approach by : William A. Stein

Download or read book Modular Forms, a Computational Approach written by William A. Stein. This book was released on 2007-02-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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