Computational Mathematics I

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Introduction To Computational Mathematics (2nd Edition)

Author : Xin-she Yang
Publisher : World Scientific Publishing Company
ISBN 13 : 9814635804
Total Pages : 342 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Introduction To Computational Mathematics (2nd Edition) by : Xin-she Yang

Download or read book Introduction To Computational Mathematics (2nd Edition) written by Xin-she Yang and published by World Scientific Publishing Company. This book was released on 2014-11-26 with total page 342 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.

Encyclopedia of Applied and Computational Mathematics

Author : Björn Engquist
Publisher : Springer
ISBN 13 : 9783662528723
Total Pages : 0 pages
Book Rating : 4.5/5 (287 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 2016-12-16 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.

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 : 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.

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.

Scientific Computing

Author : Michael T. Heath
Publisher : SIAM
ISBN 13 : 1611975573
Total Pages : 567 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Scientific Computing by : Michael T. Heath

Download or read book Scientific Computing written by Michael T. Heath and published by SIAM. This book was released on 2018-11-14 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

Computational Mathematics, Numerical Analysis and Applications

Author : Mariano Mateos
Publisher : Springer
ISBN 13 : 331949631X
Total Pages : 259 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 259 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 Mathematics, Algorithms, and Data Processing

Author : Daniele Mortari
Publisher : MDPI
ISBN 13 : 3039435914
Total Pages : 172 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Computational Mathematics, Algorithms, and Data Processing by : Daniele Mortari

Download or read book Computational Mathematics, Algorithms, and Data Processing written by Daniele Mortari and published by MDPI. This book was released on 2020-12-07 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.

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:

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.

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.

Foundations of Computational Mathematics

Author : Ronald A. DeVore
Publisher : Cambridge University Press
ISBN 13 : 9780521003490
Total Pages : 418 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Foundations of Computational Mathematics by : Ronald A. DeVore

Download or read book Foundations of Computational Mathematics written by Ronald A. DeVore and published by Cambridge University Press. This book was released on 2001-05-17 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of papers by leading researchers in computational mathematics, suitable for graduate students and researchers.

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.

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.

Advanced Applications of Computational Mathematics

Author : Akshay Kumar
Publisher :
ISBN 13 : 9788770226059
Total Pages : pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Advanced Applications of Computational Mathematics by : Akshay Kumar

Download or read book Advanced Applications of Computational Mathematics written by Akshay Kumar and published by . This book was released on 2021-07-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book "Advanced Applications of Computational Mathematics" covers multidisciplinary studies containing advanced research in the field of computational and applied mathematics. The book includes research methodology, techniques, applications, and algorithms. The book will be very useful to advanced students, researchers and practitioners who are involved in the areas of computational and applied mathematics and engineering.

An Introduction to Functional Analysis in Computational Mathematics

Author : V.I. Lebedev
Publisher : Springer Science & Business Media
ISBN 13 : 1461241286
Total Pages : 261 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to Functional Analysis in Computational Mathematics by : V.I. Lebedev

Download or read book An Introduction to Functional Analysis in Computational Mathematics written by V.I. Lebedev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the methods and bases of functional analysis that are directly adjacent to the problems of numerical mathematics and its applications; they are what one needs for the understand ing from a general viewpoint of ideas and methods of computational mathematics and of optimization problems for numerical algorithms. Functional analysis in mathematics is now just the small visible part of the iceberg. Its relief and summit were formed under the influence of this author's personal experience and tastes. This edition in English contains some additions and changes as compared to the second edition in Russian; discovered errors and misprints had been corrected again here; to the author's distress, they jump incomprehensibly from one edition to another as fleas. The list of literature is far from being complete; just a number of textbooks and monographs published in Russian have been included. The author is grateful to S. Gerasimova for her help and patience in the complex process of typing the mathematical manuscript while the author corrected, rearranged, supplemented, simplified, general ized, and improved as it seemed to him the book's contents. The author thanks G. Kontarev for the difficult job of translation and V. Klyachin for the excellent figures.