Fundamentals Of Numerical Computing PDF Download
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| Author | : Tobin A. Driscoll |
| Publisher | : SIAM |
| Total Pages | : 583 |
| Release | : 2017-12-21 |
| Genre | : Science |
| ISBN | : 1611975085 |
Download Fundamentals of Numerical Computation Book in PDF, ePub and Kindle
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.?
| Author | : Parviz Moin |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2010-08-23 |
| Genre | : Technology & Engineering |
| ISBN | : 1139489550 |
Download Fundamentals of Engineering Numerical Analysis Book in PDF, ePub and Kindle
Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.
| Author | : Bertil Gustafsson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 317 |
| Release | : 2011-06-11 |
| Genre | : Mathematics |
| ISBN | : 3642194958 |
Download Fundamentals of Scientific Computing Book in PDF, ePub and Kindle
The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.
| Author | : L. F. Shampine |
| Publisher | : Wiley-Interscience |
| Total Pages | : 302 |
| Release | : 1997 |
| Genre | : Computers |
| ISBN | : |
Download Fundamentals of Numerical Computing Book in PDF, ePub and Kindle
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.
| Author | : Tobin A Driscoll |
| Publisher | : SIAM |
| Total Pages | : 615 |
| Release | : 2022-08-24 |
| Genre | : Mathematics |
| ISBN | : 1611977010 |
Download Fundamentals of Numerical Computation Book in PDF, ePub and Kindle
Julia is an open-source and fast-growing programming language for scientific computing that offers clarity and ease of use for beginners but also speed and power for advanced applications. Fundamentals of Numerical Computation: Julia Edition provides a complete solution for teaching Julia in the context of numerical methods. It introduces 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. A clear progression from simple to more advanced methods allows for use in either a one-semester course or a two-semester sequence. The book includes more than 40 functions and 160 examples fully coded in Julia and available for download, online supplemental content including tested source materials for student projects and in-class labs related to every chapter, and over 600 exercises, evenly split between mathematical and computational work, and solutions to most exercises for instructors.
| Author | : G. Alefeld |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 228 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3709185777 |
Download Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis) Book in PDF, ePub and Kindle
| Author | : Wen Shen |
| Publisher | : World Scientific |
| Total Pages | : 339 |
| Release | : 2019-08-28 |
| Genre | : Mathematics |
| ISBN | : 9811204438 |
Download Introduction To Numerical Computation, An (Second Edition) Book in PDF, ePub and Kindle
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.
| Author | : Timo Heister |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 193 |
| Release | : 2019-03-18 |
| Genre | : Mathematics |
| ISBN | : 3110573334 |
Download Numerical Analysis Book in PDF, ePub and Kindle
Numerical analysis deals with the development and analysis of algorithms for scientific computing, and is in itself a very important part of mathematics, which has become more and more prevalent across the mathematical spectrum. This book is an introduction to numerical methods for solving linear and nonlinear systems of equations as well as ordinary and partial differential equations, and for approximating curves, functions, and integrals.
| Author | : Radhey S. Gupta |
| Publisher | : Cambridge University Press |
| Total Pages | : 778 |
| Release | : 2015-05-14 |
| Genre | : Mathematics |
| ISBN | : 1316338290 |
Download Elements of Numerical Analysis Book in PDF, ePub and Kindle
Numerical analysis deals with the manipulation of numbers to solve a particular problem. This book discusses in detail the creation, analysis and implementation of algorithms to solve the problems of continuous mathematics. An input is provided in the form of numerical data or it is generated as required by the system to solve a mathematical problem. Subsequently, this input is processed through arithmetic operations together with logical operations in a systematic manner and an output is produced in the form of numbers. Covering the fundamentals of numerical analysis and its applications in one volume, this book offers detailed discussion on relevant topics including difference equations, Fourier series, discrete Fourier transforms and finite element methods. In addition, the important concepts of integral equations, Chebyshev Approximation and Eigen Values of Symmetric Matrices are elaborated upon in separate chapters. The book will serve as a suitable textbook for undergraduate students in science and engineering.
| Author | : A. C. Faul |
| Publisher | : CRC Press |
| Total Pages | : 292 |
| Release | : 2016-03-23 |
| Genre | : Mathematics |
| ISBN | : 1498712193 |
Download A Concise Introduction to Numerical Analysis Book in PDF, ePub and Kindle
This textbook provides an accessible and concise introduction to numerical analysis for upper undergraduate and beginning graduate students from various backgrounds. It was developed from the lecture notes of four successful courses on numerical analysis taught within the MPhil of Scientific Computing at the University of Cambridge. The book is easily accessible, even to those with limited knowledge of mathematics. Students will get a concise, but thorough introduction to numerical analysis. In addition the algorithmic principles are emphasized to encourage a deeper understanding of why an algorithm is suitable, and sometimes unsuitable, for a particular problem. A Concise Introduction to Numerical Analysis strikes a balance between being mathematically comprehensive, but not overwhelming with mathematical detail. In some places where further detail was felt to be out of scope of the book, the reader is referred to further reading. The book uses MATLAB® implementations to demonstrate the workings of the method and thus MATLAB's own implementations are avoided, unless they are used as building blocks of an algorithm. In some cases the listings are printed in the book, but all are available online on the book’s page at www.crcpress.com. Most implementations are in the form of functions returning the outcome of the algorithm. Also, examples for the use of the functions are given. Exercises are included in line with the text where appropriate, and each chapter ends with a selection of revision exercises. Solutions to odd-numbered exercises are also provided on the book’s page at www.crcpress.com. This textbook is also an ideal resource for graduate students coming from other subjects who will use numerical techniques extensively in their graduate studies.
