Computational Mathematics

Author : Xin-She Yang
Publisher : World Scientific Publishing Company
Page : 344 pages
File Size : 55,6 Mb
Release : 2014-11-26
Category : Mathematics
ISBN : 9789814635806

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Introduction to Computational Mathematics by Xin-She Yang Pdf

This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.

Author : Avi Wigderson
Publisher : Princeton University Press
Page : 434 pages
File Size : 50,5 Mb
Release : 2019-10-29
Category : Computers
ISBN : 9780691189130

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Mathematics and Computation by Avi Wigderson Pdf

An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Author : K. Thangavel,P. Balasubramaniam
Publisher : Alpha Science Int'l Ltd.
Page : 270 pages
File Size : 48,5 Mb
Release : 2005
Category : Computers
ISBN : 8173196192

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Computational Mathematics by K. Thangavel,P. Balasubramaniam Pdf

A review of computational design models and the most effective control mechanisms concerning physical phenomena, this book depicts a real-life system and emphasises the solution of a general class of inverse/design problems, presenting methodologies for dynamic coupling between experiments and computation.

Author : Robert E. White
Publisher : CRC Press
Page : 403 pages
File Size : 49,8 Mb
Release : 2003-09-17
Category : Mathematics
ISBN : 9781135440329

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Computational Mathematics by Robert E. White Pdf

Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white. This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox.

Author : Björn Engquist
Publisher : Springer
Page : 0 pages
File Size : 55,6 Mb
Release : 2015-11-12
Category : Mathematics
ISBN : 3540705287

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Encyclopedia of Applied and Computational Mathematics by Björn Engquist Pdf

EACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of applications. EACM emphasizes the strong links of applied mathematics with major areas of science, such as physics, chemistry, biology, and computer science, as well as specific fields like atmospheric ocean science. In addition, the mathematical input to modern engineering and technology form another core component of EACM.

Author : Daniele Mortari,Yalchin Efendiev,Boris Hanin
Publisher : MDPI
Page : 172 pages
File Size : 47,7 Mb
Release : 2020-12-07
Category : Technology & Engineering
ISBN : 9783039435913

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Computational Mathematics, Algorithms, and Data Processing by Daniele Mortari,Yalchin Efendiev,Boris Hanin Pdf

“Computational Mathematics, Algorithms, and Data Processing” of MDPI consists of articles on new mathematical tools and numerical methods for computational problems. Topics covered include: numerical stability, interpolation, approximation, complexity, numerical linear algebra, differential equations (ordinary, partial), optimization, integral equations, systems of nonlinear equations, compression or distillation, and active learning.

Author : Zhongying Chen,Yueshen Li,Charles Micchelli,Yuesheng Xu
Publisher : CRC Press
Page : 636 pages
File Size : 47,9 Mb
Release : 2023-08-25
Category : Mathematics
ISBN : 9781000948172

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Advances in Computational Mathematics by Zhongying Chen,Yueshen Li,Charles Micchelli,Yuesheng Xu Pdf

This volume presents the refereed proceedings of the Guangzhou International Symposium on Computational Mathematics, held at the Zhongshan University, People's Republic of China. Nearly 90 international mathematicians examine numerical optimization methods, wavelet analysis, computational approximation, numerical solutions of differential and integral equations, numerical linear algebra, inverse and ill-posed problems, geometric modelling, and signal and image processing and their applications.

Author : P. Zimmermann,A. Casamayou,N. Cohen,G. Connan,T. Dumont,L. Fousse,F. Maltey,M. Meulien,M. Mezzarobba,C. Pernet,N. M. Thi?ry,E. Bray,J. Cremona,M. Forets,A. Ghitza,H. Thomas
Publisher : SIAM
Page : 459 pages
File Size : 47,7 Mb
Release : 2018-12-10
Category : Science
ISBN : 9781611975451

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Computational Mathematics with SageMath by P. Zimmermann,A. Casamayou,N. Cohen,G. Connan,T. Dumont,L. Fousse,F. Maltey,M. Meulien,M. Mezzarobba,C. Pernet,N. M. Thi?ry,E. Bray,J. Cremona,M. Forets,A. Ghitza,H. Thomas Pdf

This fantastic and deep book about how to use Sage for learning and doing mathematics at all levels perfectly complements the existing Sage documentation. It is filled with many carefully thought through examples and exercises, and great care has been taken to put computational functionality into proper mathematical context. Flip to almost any random page in this amazing book, and you will learn how to play with and visualize some beautiful part of mathematics. --- William A. Stein, CEO, SageMath, and professor of mathematics, University of Washington SageMath, or Sage for short, is an open-source mathematical software system based on the Python language and developed by an international community comprising hundreds of teachers and researchers, whose aim is to provide an alternative to the commercial products Magma, Maple, Mathematica, and MATLAB. To achieve this, Sage relies on many open-source programs, including GAP, Maxima, PARI, and various scientific libraries for Python, to which thousands of new functions have been added. Sage is freely available and is supported by all modern operating systems. Sage provides a wonderful scientific and graphical calculator for high school students, and it efficiently supports undergraduates in their computations in analysis, linear algebra, calculus, etc. For graduate students, researchers, and engineers in various mathematical specialties, Sage provides the most recent algorithms and tools, which is why several universities around the world already use Sage at the undergraduate level.

Author : Robert E. White
Publisher : CRC Press
Page : 499 pages
File Size : 45,8 Mb
Release : 2015-11-11
Category : Mathematics
ISBN : 9781482235166

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Computational Mathematics by Robert E. White Pdf

Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI is a unique book covering the concepts and techniques at the core of computational science. The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial differential equations; and large algebraic problems requirin

Author : Zhongci Shi,Chung-Chun Yang
Publisher : American Mathematical Soc.
Page : 225 pages
File Size : 47,5 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821851630

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Computational Mathematics in China by Zhongci Shi,Chung-Chun Yang Pdf

This volume describes the most significant contributions made by Chinese mathematicians over the past decades in various areas of computational mathematics. Some of the results are quite important and complement Western developments in the field. The contributors to the volume range from noted senior mathematicians to promising young researchers. The topics include finite element methods, computational fluid mechanics, numerical solutions of differential equations, computational methods in dynamical systems, numerical algebra, approximation, and optimization. Containing a number of survey articles, the book provides an excellent way for Western readers to gain an understanding of the status and trends of computational mathematics in China.

Author : Xin-she Yang
Publisher : World Scientific Publishing Company
Page : 260 pages
File Size : 44,6 Mb
Release : 2008-06-17
Category : Mathematics
ISBN : 9789813107236

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Introduction To Computational Mathematics by Xin-she Yang Pdf

This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of modern numerical algorithms and scientific computing. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. It covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithms, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, to nonlinear curve-fitting and swarm optimization. Especially suitable for undergraduates and graduates in computational mathematics, numerical algorithms, and scientific computing, it can be used as a textbook and/or reference book.

Author : Harvir Singh Kasana
Publisher : Allied Publishers
Page : 614 pages
File Size : 47,9 Mb
Release : 2005
Category : Mathematics
ISBN : 817764792X

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National Conference on Frontiers in Applied and Computational Mathematics (FACM-2005) by Harvir Singh Kasana Pdf

Author : Wenjian Qin,Nazar Zaki,Fa Zhang,Jia Wu,Fan Yang
Publisher : Springer Nature
Page : 171 pages
File Size : 42,5 Mb
Release : 2022-09-22
Category : Computers
ISBN : 9783031172663

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Computational Mathematics Modeling in Cancer Analysis by Wenjian Qin,Nazar Zaki,Fa Zhang,Jia Wu,Fan Yang Pdf

This book constitutes the proceedings of the First Workshop on Computational Mathematics Modeling in Cancer Analysis (CMMCA2022), held in conjunction with MICCAI 2022, in Singapore in September 2022. Due to the COVID-19 pandemic restrictions, the CMMCA2022 was held virtually. DALI 2022 accepted 15 papers from the 16 submissions that were reviewed. A major focus of CMMCA2022 is to identify new cutting-edge techniques and their applications in cancer data analysis in response to trends and challenges in theoretical, computational and applied aspects of mathematics in cancer data analysis.

Author : Anonim
Publisher : ScholarlyEditions
Page : 1187 pages
File Size : 41,8 Mb
Release : 2013-05-01
Category : Mathematics
ISBN : 9781490110110

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Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition by Anonim Pdf

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Random Structures and Algorithms. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Random Structures and Algorithms in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Author : Ke Chen,Anton Ravindran
Publisher : Springer
Page : 300 pages
File Size : 46,8 Mb
Release : 2016-01-03
Category : Mathematics
ISBN : 9783319161396

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Forging Connections between Computational Mathematics and Computational Geometry by Ke Chen,Anton Ravindran Pdf

This volume presents original research contributed to the 3rd Annual International Conference on Computational Mathematics and Computational Geometry (CMCGS 2014), organized and administered by Global Science and Technology Forum (GSTF). Computational Mathematics and Computational Geometry are closely related subjects, but are often studied by separate communities and published in different venues. This volume is unique in its combination of these topics. After the conference, which took place in Singapore, selected contributions chosen for this volume and peer-reviewed. The section on Computational Mathematics contains papers that are concerned with developing new and efficient numerical algorithms for mathematical sciences or scientific computing. They also cover analysis of such algorithms to assess accuracy and reliability. The parts of this project that are related to Computational Geometry aim to develop effective and efficient algorithms for geometrical applications such as representation and computation of surfaces. Other sections in the volume cover Pure Mathematics and Statistics ranging from partial differential equations to matrix analysis, finite difference or finite element methods and function approximation. This volume will appeal to advanced students and researchers in these areas.