Computational Mathematics

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Introduction to Computational Mathematics

Author : Xin-She Yang
Publisher : World Scientific Publishing Company
ISBN 13 : 9814635804
Total Pages : 344 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Introduction to Computational Mathematics by : Xin-She Yang

Download or read book Introduction to Computational Mathematics written by Xin-She Yang and published by World Scientific Publishing Company. This book was released on 2014-11-26 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Mathematics

Author : Robert E. White
Publisher : CRC Press
ISBN 13 : 1135440328
Total Pages : 403 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Computational Mathematics by : Robert E. White

Download or read book Computational Mathematics written by Robert E. White and published by CRC Press. This book was released on 2003-09-17 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Encyclopedia of Applied and Computational Mathematics

Author : Björn Engquist
Publisher : Springer
ISBN 13 : 9783540705284
Total Pages : 0 pages
Book Rating : 4.7/5 (52 download)

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Book Synopsis Encyclopedia of Applied and Computational Mathematics by : Björn Engquist

Download or read book Encyclopedia of Applied and Computational Mathematics written by Björn Engquist and published by Springer. This book was released on 2015-11-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Computational Mathematics with SageMath

Author : P. Zimmermann
Publisher : SIAM
ISBN 13 : 161197545X
Total Pages : 459 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Computational Mathematics with SageMath by : P. Zimmermann

Download or read book Computational Mathematics with SageMath written by P. Zimmermann and published by SIAM. This book was released on 2018-12-10 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Experimentation in Mathematics

Author : Jonathan M. Borwein
Publisher : CRC Press
ISBN 13 : 1439864195
Total Pages : 372 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Experimentation in Mathematics by : Jonathan M. Borwein

Download or read book Experimentation in Mathematics written by Jonathan M. Borwein and published by CRC Press. This book was released on 2004-04-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of

Computational Mathematics in Engineering and Applied Science

Author : W.E. Schiesser
Publisher : CRC Press
ISBN 13 : 1498710662
Total Pages : 600 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Computational Mathematics in Engineering and Applied Science by : W.E. Schiesser

Download or read book Computational Mathematics in Engineering and Applied Science written by W.E. Schiesser and published by CRC Press. This book was released on 2014-07-22 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering. It presents detailed examples, each

Computational Mathematics

Author : Boris Pavlovich Demidovich
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Computational Mathematics by : Boris Pavlovich Demidovich

Download or read book Computational Mathematics written by Boris Pavlovich Demidovich and published by . This book was released on 1981 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Mathematics and Computational Science

Author : John W. Harris
Publisher : Springer Science & Business Media
ISBN 13 : 9780387947464
Total Pages : 1064 pages
Book Rating : 4.9/5 (474 download)

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Book Synopsis Handbook of Mathematics and Computational Science by : John W. Harris

Download or read book Handbook of Mathematics and Computational Science written by John W. Harris and published by Springer Science & Business Media. This book was released on 1998-07-23 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers thousands of up-to-date equations, formulas, tables, illustrations, and explanations into one invaluable volume. It includes over a thousand pages of mathematical material as well as chapters on probability, mathematical statistics, fuzzy logic, and neural networks. It also contains computer language overviews of C, Fortran, and Pascal.

Computational Mathematics

Author : K. Thangavel
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173196195
Total Pages : 270 pages
Book Rating : 4.1/5 (961 download)

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Book Synopsis Computational Mathematics by : K. Thangavel

Download or read book Computational Mathematics written by K. Thangavel and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Mathematics, Numerical Analysis and Applications

Author : Mariano Mateos
Publisher : Springer
ISBN 13 : 331949631X
Total Pages : 254 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Computational Mathematics, Numerical Analysis and Applications by : Mariano Mateos

Download or read book Computational Mathematics, Numerical Analysis and Applications written by Mariano Mateos and published by Springer. This book was released on 2017-08-03 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical Linear Algebra, Optimal Control of Partial Differential Equations and Quantum Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses. The second part features the extended abstracts of selected research work presented by the students during the School. It highlights new results and applications in Computational Algebra, Fluid Mechanics, Chemical Kinetics and Biomedicine, among others, offering interested researchers a convenient reference guide to these latest advances.

Computational Mathematical Modeling

Author : Daniela Calvetti
Publisher : SIAM
ISBN 13 : 1611972477
Total Pages : 229 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Computational Mathematical Modeling by : Daniela Calvetti

Download or read book Computational Mathematical Modeling written by Daniela Calvetti and published by SIAM. This book was released on 2013-03-21 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interesting real-world mathematical modelling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modelling paradigms: the macroscopic, in which phenomena are described in terms of time evolution via ordinary differential equations; and the microscopic, which requires knowledge of random events and probability. The exposition is based on this unorthodox combination of deterministic and probabilistic methodologies, and emphasizes the development of computational skills to construct predictive models. To elucidate the concepts, a wealth of examples, self-study problems, and portions of MATLAB code used by the authors are included. This book, which has been extensively tested by the authors for classroom use, is intended for students in mathematics and the physical sciences at the advanced undergraduate level and above.

Mathematics of Quantum Computation

Author : Ranee K. Brylinski
Publisher : CRC Press
ISBN 13 : 1420035371
Total Pages : 448 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mathematics of Quantum Computation by : Ranee K. Brylinski

Download or read book Mathematics of Quantum Computation written by Ranee K. Brylinski and published by CRC Press. This book was released on 2002-02-14 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science. Mathematics of Quantum Computation brings together leading computer scientists, mathematicians, and physicists to provide the first interdisciplinary but mathematically focused exploration of the field's foundations and state of the art. Each section of the book addresses an area of major research, and does so with introductory material that brings newcomers quickly up to speed. Chapters that are more advanced include recent developments not yet published in the open literature. Information technology will inevitably enter into the realm of quantum mechanics, and, more than all the atomic, molecular, optical, and nanotechnology advances, it is the device-independent mathematics that is the foundation of quantum computer and information science. Mathematics of Quantum Computation offers the first up-to-date coverage that has the technical depth and breadth needed by those interested in the challenges being confronted at the frontiers of research.

Computational Mathematics and Applications

Author : Dia Zeidan
Publisher : Springer
ISBN 13 : 9789811584978
Total Pages : 277 pages
Book Rating : 4.5/5 (849 download)

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Book Synopsis Computational Mathematics and Applications by : Dia Zeidan

Download or read book Computational Mathematics and Applications written by Dia Zeidan and published by Springer. This book was released on 2020-11-24 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of invited and reviewed chapters on state-of-the-art developments in interdisciplinary mathematics. The book discusses recent developments in the fields of theoretical and applied mathematics, covering areas of interest to mathematicians, scientists, engineers, industrialists, researchers, faculty, and students. Readers will be exposed to topics chosen from a wide range of areas including differential equations, integral reforms, operational calculus, numerical analysis, fluid mechanics, and computer science. The aim of the book is to provide brief and reliably expressed research topics that will enable those new or not aware of mathematical sciences in this part of the world. While the book has not been precisely planned to address any branch of mathematics, it presents contributions of the relevant topics to do so. The topics chosen for the book are those that we have found of significant interest to many researchers in the world. These also are topics that are applicable in many fields of computational and applied mathematics. This book constitutes the first attempt in Jordanian literature to scientifically consider the extensive need of research development at the national and international levels with which mathematics deals. The book grew not only from the international collaboration between the authors but rather from the long need for a research-based book from different parts of the world for researchers and professionals working in computational and applied mathematics.

Number-Crunching

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 1400839580
Total Pages : 406 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Number-Crunching by : Paul J. Nahin

Download or read book Number-Crunching written by Paul J. Nahin and published by Princeton University Press. This book was released on 2011-08-08 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: More stimulating mathematics puzzles from bestselling author Paul Nahin How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished. Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions. Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles.

Computational Mathematics and Variational Analysis

Author : Nicholas J. Daras
Publisher : Springer Nature
ISBN 13 : 3030446255
Total Pages : 564 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Computational Mathematics and Variational Analysis by : Nicholas J. Daras

Download or read book Computational Mathematics and Variational Analysis written by Nicholas J. Daras and published by Springer Nature. This book was released on 2020-06-06 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Exercises in Computational Mathematics with MATLAB

Author : Tom Lyche
Publisher : Springer
ISBN 13 : 366243511X
Total Pages : 377 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Exercises in Computational Mathematics with MATLAB by : Tom Lyche

Download or read book Exercises in Computational Mathematics with MATLAB written by Tom Lyche and published by Springer. This book was released on 2014-09-02 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises. Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs. The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; Bézier curves; approximations of functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations. The format is designed to assist students working alone, with concise Review paragraphs, Math Hint footnotes on the mathematical aspects of a problem and MATLAB Hint footnotes with tips on programming.