Numerical Computing

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Numerical Computation 1

Christoph W. Ueberhuber
Numerical Computation 1 Book PDF

Author : Christoph W. Ueberhuber
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642591181

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Numerical Computation 1 by Christoph W. Ueberhuber Pdf

This book deals with various aspects of scientific numerical computing. No at tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer algebra- is thus based on applied mathematics, numerical analysis and numerical computation as well as on certain areas of computer science such as computer architecture and operating systems. Applied Mathemalies I I I Numerical Analysis Analysis, Algebra I I Numerical Computation Symbolic Computation I Operating Systems Computer Hardware Each chapter begins with sample situations taken from specific fields of appli cation. Abstract and general formulations of mathematical problems are then presented. Following this abstract level, a general discussion about principles and methods for the numerical solution of mathematical problems is presented. Relevant algorithms are developed and their efficiency and the accuracy of their results is assessed. It is then explained as to how they can be obtained in the form of numerical software. The reader is presented with various ways of applying the general methods and principles to particular classes of problems and approaches to extracting practically useful solutions with appropriately chosen numerical software are developed. Potential difficulties and obstacles are examined, and ways of avoiding them are discussed. The volume and diversity of all the available numerical software is tremendous.

Fundamentals of Numerical Computation

Tobin A. Driscoll,Richard J. Braun
Fundamentals of Numerical Computation Book PDF

Author : Tobin A. Driscoll,Richard J. Braun
Publisher : SIAM
Page : 583 pages
File Size : 40,6 Mb
Release : 2017-12-21
Category : Science
ISBN : 9781611975086

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Fundamentals of Numerical Computation by Tobin A. Driscoll,Richard J. Braun Pdf

Fundamentals of Numerical Computation?is an advanced undergraduate-level introduction to the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. The book is organized with simpler methods in the first half and more advanced methods in the second half, allowing use for either a single course or a sequence of two courses. The authors take readers from basic to advanced methods, illustrating them with over 200 self-contained MATLAB functions and examples designed for those with no prior MATLAB experience. Although the text provides many examples, exercises, and illustrations, the aim of the authors is not to provide a cookbook per se, but rather an exploration of the principles of cooking. The authors have developed an online resource that includes well-tested materials related to every chapter. Among these materials are lecture-related slides and videos, ideas for student projects, laboratory exercises, computational examples and scripts, and all the functions presented in the book. The book is intended for advanced undergraduates in math, applied math, engineering, or science disciplines, as well as for researchers and professionals looking for an introduction to a subject they missed or overlooked in their education.?

Numerical Computing with MATLAB

Cleve B. Moler
Numerical Computing with MATLAB Book PDF

Author : Cleve B. Moler
Publisher : SIAM
Page : 340 pages
File Size : 48,7 Mb
Release : 2010-08-12
Category : Computers
ISBN : 9780898716603

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Numerical Computing with MATLAB by Cleve B. Moler Pdf

A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.

Fundamentals of Numerical Computing

L. F. Shampine,Richard C. Allen,S. Pruess
Fundamentals of Numerical Computing Book PDF

Author : L. F. Shampine,Richard C. Allen,S. Pruess
Publisher : Wiley-Interscience
Page : 302 pages
File Size : 51,8 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015037837922

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Fundamentals of Numerical Computing by L. F. Shampine,Richard C. Allen,S. Pruess Pdf

This is a practical text that develops the mathematics and computer implementation of the most important methods for basic computational tasks and then applies them to real problems, providing access to implementation as well as methodology. Computer codes are provided in FORTRAN, C, C++, and MATLAB. They are applied in example programs and to case studies of problems that are not routine. A solutions manual is provided for instructors. The total package thus eliminates the need for other supplementary materials.

Introduction To Numerical Computation, An (Second Edition)

Wen Shen
Introduction To Numerical Computation An Second Edition Book PDF

Author : Wen Shen
Publisher : World Scientific
Page : 339 pages
File Size : 53,9 Mb
Release : 2019-08-28
Category : Mathematics
ISBN : 9789811204432

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Introduction To Numerical Computation, An (Second Edition) by Wen Shen Pdf

This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.

Numerical Computing with IEEE Floating Point Arithmetic

Michael L. Overton
Numerical Computing with IEEE Floating Point Arithmetic Book PDF

Author : Michael L. Overton
Publisher : SIAM
Page : 105 pages
File Size : 50,6 Mb
Release : 2001-01-01
Category : Computers
ISBN : 9780898715712

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Numerical Computing with IEEE Floating Point Arithmetic by Michael L. Overton Pdf

Mathematics of Computing -- Numerical Analysis.

Numerical Methods in Scientific Computing:

Germund Dahlquist,Ake Bjorck
Numerical Methods in Scientific Computing Book PDF

Author : Germund Dahlquist,Ake Bjorck
Publisher : SIAM
Page : 741 pages
File Size : 47,7 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780898716443

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Numerical Methods in Scientific Computing: by Germund Dahlquist,Ake Bjorck Pdf

This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.

Introduction to Numerical Computations

James S. Vandergraft
Introduction to Numerical Computations Book PDF

Author : James S. Vandergraft
Publisher : Academic Press
Page : 389 pages
File Size : 47,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483267098

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Introduction to Numerical Computations by James S. Vandergraft Pdf

Computer Science and Applied Mathematics: Introduction to Numerical Computations, Second Edition introduces numerical algorithms as they are used in practice. This edition covers the usual topics contained in introductory numerical analysis textbooks that include all of the well-known and most frequently used algorithms for interpolation and approximation, numerical differentiation and integration, solution of linear systems and nonlinear equations, and solving ordinary differential equations. A complete discussion of computer arithmetic, problems that arise in the computer evaluation of functions, and cubic spline interpolation are also provided. This text likewise discusses the Newton formulas for interpolation and adaptive methods for integration. The level of this book is suitable for advanced undergraduate students and readers with elementary mathematical background.

Computational Methods for Numerical Analysis with R

James P Howard, II
Computational Methods for Numerical Analysis with R Book PDF

Author : James P Howard, II
Publisher : CRC Press
Page : 257 pages
File Size : 45,9 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781498723640

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Computational Methods for Numerical Analysis with R by James P Howard, II Pdf

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Numerical Analysis in Modern Scientific Computing

Peter Deuflhard,Andreas Hohmann
Numerical Analysis in Modern Scientific Computing Book PDF

Author : Peter Deuflhard,Andreas Hohmann
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780387215846

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Numerical Analysis in Modern Scientific Computing by Peter Deuflhard,Andreas Hohmann Pdf

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Numerical Analysis

David Kincaid,David Ronald Kincaid,Elliott Ward Cheney
Numerical Analysis Book PDF

Author : David Kincaid,David Ronald Kincaid,Elliott Ward Cheney
Publisher : American Mathematical Soc.
Page : 810 pages
File Size : 49,7 Mb
Release : 2009
Category : Numerical analysis
ISBN : 9780821847886

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Numerical Analysis by David Kincaid,David Ronald Kincaid,Elliott Ward Cheney Pdf

This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.

Numerical Analysis for Statisticians

Kenneth Lange
Numerical Analysis for Statisticians Book PDF

Author : Kenneth Lange
Publisher : Springer Science & Business Media
Page : 606 pages
File Size : 44,7 Mb
Release : 2010-05-17
Category : Business & Economics
ISBN : 9781441959454

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Numerical Analysis for Statisticians by Kenneth Lange Pdf

Numerical analysis is the study of computation and its accuracy, stability and often its implementation on a computer. This book focuses on the principles of numerical analysis and is intended to equip those readers who use statistics to craft their own software and to understand the advantages and disadvantages of different numerical methods.

Numerical computing with IEEE floating point arithmetic

Michael L. Overton
Numerical computing with IEEE floating point arithmetic Book PDF

Author : Michael L. Overton
Publisher : SIAM
Page : 120 pages
File Size : 53,8 Mb
Release : 2001-01-01
Category : Computers
ISBN : 9780898718072

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Numerical computing with IEEE floating point arithmetic by Michael L. Overton Pdf

This title provides an easily accessible yet detailed discussion of IEEE Std 754-1985, arguably the most important standard in the computer industry. The result of an unprecedented cooperation between academic computer scientists and the cutting edge of industry, it is supported by virtually every modern computer. Other topics include the floating point architecture of the Intel microprocessors and a discussion of programming language support for the standard.

Mastering Numerical Computing with NumPy

Umit Mert Cakmak,Mert Cuhadaroglu
Mastering Numerical Computing with NumPy Book PDF

Author : Umit Mert Cakmak,Mert Cuhadaroglu
Publisher : Packt Publishing Ltd
Page : 237 pages
File Size : 50,6 Mb
Release : 2018-06-28
Category : Computers
ISBN : 9781788996846

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Mastering Numerical Computing with NumPy by Umit Mert Cakmak,Mert Cuhadaroglu Pdf

Enhance the power of NumPy and start boosting your scientific computing capabilities Key Features Grasp all aspects of numerical computing and understand NumPy Explore examples to learn exploratory data analysis (EDA), regression, and clustering Access NumPy libraries and use performance benchmarking to select the right tool Book Description NumPy is one of the most important scientific computing libraries available for Python. Mastering Numerical Computing with NumPy teaches you how to achieve expert level competency to perform complex operations, with in-depth coverage of advanced concepts. Beginning with NumPy's arrays and functions, you will familiarize yourself with linear algebra concepts to perform vector and matrix math operations. You will thoroughly understand and practice data processing, exploratory data analysis (EDA), and predictive modeling. You will then move on to working on practical examples which will teach you how to use NumPy statistics in order to explore US housing data and develop a predictive model using simple and multiple linear regression techniques. Once you have got to grips with the basics, you will explore unsupervised learning and clustering algorithms, followed by understanding how to write better NumPy code while keeping advanced considerations in mind. The book also demonstrates the use of different high-performance numerical computing libraries and their relationship with NumPy. You will study how to benchmark the performance of different configurations and choose the best for your system. By the end of this book, you will have become an expert in handling and performing complex data manipulations. What you will learn Perform vector and matrix operations using NumPy Perform exploratory data analysis (EDA) on US housing data Develop a predictive model using simple and multiple linear regression Understand unsupervised learning and clustering algorithms with practical use cases Write better NumPy code and implement the algorithms from scratch Perform benchmark tests to choose the best configuration for your system Who this book is for Mastering Numerical Computing with NumPy is for you if you are a Python programmer, data analyst, data engineer, or a data science enthusiast, who wants to master the intricacies of NumPy and build solutions for your numeric and scientific computational problems. You are expected to have familiarity with mathematics to get the most out of this book.

Numerical Computing with MATLAB

Cleve B. Moler
Numerical Computing with MATLAB Book PDF

Author : Cleve B. Moler
Publisher : SIAM
Page : 347 pages
File Size : 55,5 Mb
Release : 2008-01-01
Category : Computers
ISBN : 0898717957

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Numerical Computing with MATLAB by Cleve B. Moler Pdf

Numerical Computing with MATLAB is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing. The emphasis is on the informed use of mathematical software; in particular, the presentation helps readers learn enough about the mathematical functions in MATLAB to use them correctly, appreciate their limitations, and modify them appropriately. The book makes extensive use of computer graphics, including interactive graphical expositions of numerical algorithms. It provides more than 70 M-files, which can be downloaded from the text Web site www.mathworks.com/moler. Many of the more than 200 exercises involve modifying and extending these programs. The topics covered include an introduction to MATLAB; linear equations; interpolation; zeros and roots; least squares; quadrature; ordinary differential equations; Fourier analysis; random numbers; eigenvalues and singular values; and partial differential equations. Motivating applications include modern problems from cryptography, touch-tone dialing, Google page-ranking, atmospheric science, and image processing, as well as classical problems from physics and engineering.