The Influence of Computing on Mathematical Research and Education PDF Download

Author: Joseph P. LaSalle
Publisher: American Mathematical Soc.
ISBN: 0821813269
Category : Mathematics
Languages : en
Pages : 215

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Author: Hans Munthe-Kaas
Publisher: Springer
ISBN: 9783642088414
Category : Mathematics
Languages : en
Pages : 127

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Book Description
The 2006 Abel symposium is focusing on contemporary research involving interaction between computer science, computational science and mathematics. In recent years, computation has been affecting pure mathematics in fundamental ways. Conversely, ideas and methods of pure mathematics are becoming increasingly important within computational and applied mathematics. At the core of computer science is the study of computability and complexity for discrete mathematical structures. Studying the foundations of computational mathematics raises similar questions concerning continuous mathematical structures. There are several reasons for these developments. The exponential growth of computing power is bringing computational methods into ever new application areas. Equally important is the advance of software and programming languages, which to an increasing degree allows the representation of abstract mathematical structures in program code. Symbolic computing is bringing algorithms from mathematical analysis into the hands of pure and applied mathematicians, and the combination of symbolic and numerical techniques is becoming increasingly important both in computational science and in areas of pure mathematics.

Author: Philippe Flajolet
Publisher: Cambridge University Press
ISBN: 1139477161
Category : Mathematics
Languages : en
Pages : 825

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Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Author: Gaston M. N'Guereta
Publisher:
ISBN: 9781600218101
Category : Computer science
Languages : en
Pages : 0

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Book Description
The 2006 Applied Mathematics Summer Workshop was held on the campus of Delaware State University on July 31, August 1-2, 2006. It is the third of a series of annual events organised by the Applied Mathematics Research Center of Delaware State University, funded by the Department of Defense. The 2006 Workshop brought together over seventy mathematicians, scientists and graduate students from the United States and abroad. The program includes invited lectures by distinguished speakers and contributed paper sessions. The goal of the workshop is to promote DoD's applied mathematics research interests among the faculty and students from Historically Black Colleges/Universities and Minority Institutions (HBCU/MIs). During the workshop attendees also networked, communicated, and exchanged ideas and information on interdisciplinary applied mathematics research topics. They also discussed the trends and prospects of future.

Author: Fengshan Bai
Publisher: Springer Science & Business Media
ISBN: 3540406891
Category : Computers
Languages : en
Pages : 198

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Book Description
This book constitutes the thoroughly refereed post-proceedings of the ICM 2002 International Satellite Conference on Electronic Information and Communication in Mathematics, held in Beijing, China, in August 2002. The 18 revised and reviewed papers assess the state of the art of the production and dissemination of electronic information in mathematics. Among the topics addressed are models and standards for information and metainformation representation; data search, discovery, retrieval, and analysis; access to distributed and heterogeneous digital collections; intelligent user interfaces to digital libraries; information agents, and cooperative work on mathematical data; digital collection generation; business models; and data security and protection.

Author: Svein Linge
Publisher: Springer
ISBN: 3319324284
Category : Computers
Languages : en
Pages : 244

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Book Description
This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Author: Olga Goriunova
Publisher: Bloomsbury Publishing USA
ISBN: 1501318284
Category : Social Science
Languages : en
Pages : 297

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Book Description
Fun and Software offers the untold story of fun as constitutive of the culture and aesthetics of computing. Fun in computing is a mode of thinking, making and experiencing. It invokes and convolutes the question of rationalism and logical reason, addresses the sensibilities and experience of computation and attests to its creative drives. By exploring topics as diverse as the pleasure and pain of the programmer, geek wit, affects of play and coding as a bodily pursuit of the unique in recursive structures, Fun and Software helps construct a different point of entry to the understanding of software as culture. Fun is a form of production that touches on the foundations of formal logic and precise notation as well as rhetoric, exhibiting connections between computing and paradox, politics and aesthetics. From the formation of the discipline of programming as an outgrowth of pure mathematics to its manifestation in contemporary and contradictory forms such as gaming, data analysis and art, fun is a powerful force that continues to shape our life with software as it becomes the key mechanism of contemporary society. Including chapters from leading scholars, programmers and artists, Fun and Software makes a major contribution to the field of software studies and opens the topic of software to some of the most pressing concerns in contemporary theory.

Author: Simson Garfinkel
Publisher: John Wiley & Sons Incorporated
ISBN: 9781568842035
Category : Computers
Languages : en
Pages : 329

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Book Description
This book is for all people who are forced to use UNIX. It is a humorous book--pure entertainment--that maintains that UNIX is a computer virus with a user interface. It features letters from the thousands posted on the Internet's "UNIX-Haters" mailing list. It is not a computer handbook, tutorial, or reference. It is a self-help book that will let readers know they are not alone.

Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 9780898718027
Category : Mathematics
Languages : en
Pages : 710

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Book Description
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.

Author: Robert Gaskins
Publisher: Vinland Books
ISBN: 0985142405
Category : Computers
Languages : en
Pages : 516

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Book Description
PowerPoint was the first presentation software designed for Macintosh and Windows, received the first venture capital investment ever made by Apple, then became the first significant acquisition ever made by Microsoft, who set up a new Graphics Business Unit in Silicon Valley to develop it further. Now, twenty-five years later, PowerPoint is installed on more than one billion computers, worldwide. In this book, Robert Gaskins (who invented the idea, managed its design and development, and then headed the new Microsoft group) tells the story of its first years, recounting the perils and disasters narrowly evaded as a startup, dissecting the complexities of being the first distant development group in Microsoft, and explaining decisions and insights that enabled PowerPoint to become a lasting success well beyond its original business uses.