The Influence of Computing on Mathematical Research and Education

The Influence of Computing on Mathematical Research and Education PDF Author: Joseph P. LaSalle
Publisher: American Mathematical Soc.
ISBN: 0821813269
Category : Mathematics
Languages : en
Pages : 215

Book Description


Computer Mathematics

Computer Mathematics PDF Author: Xiao-Shan Gao
Publisher: World Scientific
ISBN: 9810244983
Category : Computers
Languages : en
Pages : 338

Book Description
This volume contains selected papers presented at the Fourth Asian Symposium on Computer Mathematics. 39 peer-reviewed original contributions together with full papers and extended abstracts by the four invited speakers, G H Gonnet, D Lazard, W McCune, and W-T Wu, cover some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric, and geometric computation, automated mathematical reasoning, mathematical software, and computer-aided geometric design. Researchers, teachers, students, and engineers interested in doing mathematics using computers will find this volume good reading and a valuable reference.

Mathematics and Computation, a Contemporary View

Mathematics and Computation, a Contemporary View PDF Author: Hans Munthe-Kaas
Publisher: Springer
ISBN: 9783642088414
Category : Mathematics
Languages : en
Pages : 127

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.

Mathematics and Computation, a Contemporary View

Mathematics and Computation, a Contemporary View PDF Author: Hans Munthe-Kaas
Publisher: Springer
ISBN: 9783540688488
Category : Mathematics
Languages : en
Pages : 127

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.

Analysis and Applied Mathematics

Analysis and Applied Mathematics PDF Author: Allaberen Ashyralyev
Publisher: Birkhäuser
ISBN: 9783031626678
Category : Mathematics
Languages : en
Pages : 0

Book Description
This book presents extended abstracts of the Analysis and Applied Mathematics seminar organized jointly by Bahçeşehir University, Istanbul, Turkey, Ghent Analysis & PDE Center, Ghent University, Ghent, Belgium and the Institute Mathematics & Math. Modeling, Almaty, Kazakhstan. The book is of value to professional mathematicians as well as advanced students in the fields of analysis and applied mathematics. The goal of the seminar is to provide a forum for researchers and scientists from different regions to communicate their recent developments and to present their original results in various fields of analysis and applied mathematics. All of the articles contain new results and are peer-reviewed. The volume reflects the latest developments in the area of analysis and applied mathematics and their interdisciplinary applications.

Discrete and Computational Mathematics

Discrete and Computational Mathematics PDF Author: Gaston M. N'Guereta
Publisher:
ISBN: 9781600218101
Category : Computer science
Languages : en
Pages : 0

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.

Electronic Information and Communication in Mathematics

Electronic Information and Communication in Mathematics PDF Author: Fengshan Bai
Publisher: Springer Science & Business Media
ISBN: 3540406891
Category : Computers
Languages : en
Pages : 198

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.

Analytic Combinatorics

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

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.

Programming for Computations - Python

Programming for Computations - Python PDF Author: Svein Linge
Publisher: Springer
ISBN: 3319324284
Category : Computers
Languages : en
Pages : 244

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.

Fun and Software

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

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.