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1
A concise introduction to numerical analysis / A C Faul
Boca Raton : CRC Press, Taylor & Francis Group, 2016
292 pages. : illustrations ; 24 cm.
Ký hiệu phân loại (DDC): 518
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.
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2
Guide to scientific computing in C++ / Joe Pitt-Francis; Jonathan Whiteley
Cham, Switzerland : Springer, 2017
293 pages. : illustrations
Ký hiệu phân loại (DDC): 005.133
This simple-to-follow textbook/reference provides an invaluable guide to object-oriented C++ programming for scientific computing. Through a series of clear and concise discussions, the key features most useful to the novice programmer are explored, enabling the reader to quickly master the basics and build the confidence to investigate less well-used features when needed. The text presents a hands-on approach that emphasizes the benefits of learning by example, stressing the importance of a clear programming style to minimise the introduction of errors into the code, and offering an extensive selection of practice exercises. This updated and enhanced new edition includes additional material on software testing, and on some new features introduced in modern C++ standards such as C++11. Topics and features: Presents a practical treatment of the C++ programming language for applications in scientific computing Reviews the essentials of procedural programming in C++, covering variables, flow of control, input and output, pointers, functions and reference variables Introduces the concept of classes, showcasing the main features of object-orientation, and discusses such advanced C++ features as templates and exceptions Examines the development of a collection of classes for linear algebra calculations, and presents an introduction to parallel computing using MPI Describes how to construct an object-oriented library for solving second order differential equations Contains appendices reviewing linear algebra and useful programming constructs, together with solutions to selected exercises Provides exercises and programming tips at the end of every chapter, and supporting code at an associated website This accessible textbook is a "must-read" for programmers of all levels of expertise. Basic familiarity with concepts such as operations between vectors and matrices, and the Newton-Raphson method for finding the roots of non-linear equations, would be an advantage, but extensive knowledge of the underlying mathematics is not assumed. Dr. Joe Pitt-Francis is a Departmental Lecturer at the Department of Computer Science and teaches Computer Science at Exeter College, the University of Oxford, UK. Prof. Jonathan Whiteley is Associate Professor at the Department of Computer Science and Governing Body Fellow of Linacre College, the University of Oxford, UK.
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3
MATLAB : a practical introduction to programming and problem solving / Stormy Attaway
Amsterdam : Elsevier, Butterworth-Heinemann, 2017
xxii, 574 pages. : illustrations (some color) ; 24 cm.
Ký hiệu phân loại (DDC): 518.028553
MATLAB has become the standard software tool for solving scientific and engineering problems due to its powerful built-in functions and its ability to program. Assuming no knowledge of programming, this book guides the reader through both programming and built-in functions to easily exploit MATLAB's extensive capabilities for tackling engineering problems. The book starts with programming concepts, such as variables, assignments, and selection statements, moves on to loops, and then solves problems using both the programming concept and the power of MATLAB. In-depth coverage is given to input/output, a topic fundamental to many engineering applications. The third edition of MATLAB: A Practical Introduction to Programming and Problem Solving has been updated to reflect the functionality of the current version of MATLAB. It features new and revised end-of-chapter exercises, stronger coverage of loops and vectorizing, and more engineering applications to help the reader learn this software tool in context
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4
Numerical analysis with algorithms and programming / Santanu Saha Ray
Boca Raton : CRC Press, Taylor & Francis Group, 2016
685 pages. : illustrations ; 26 cm.
Ký hiệu phân loại (DDC): 518
Numerical Analysis with Algorithms and Programming is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. It presents many techniques for the efficient numerical solution of problems in science and engineering.
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Numerical methods for engineers and scientists using MATLAB / Ramin S. Esfandiari
Boca Raton : A CRC Press, Taylor & Francis Group, 2017
xxi, 471 pages. ; 27 cm.
Ký hiệu phân loại (DDC): 621.4022
This book provides a pragmatic, methodical and easy-to-follow presentation of numerical methods and their effective implementation using MATLAB, which is introduced at the outset. Each method is accompanied by at least one fully worked-out example showing essential details involved in preliminary hand calculations, as well as computations in MATLAB
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