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A Student S Guide To Numerical Methods

Author: Ian H. Hutchinson
Publisher: Cambridge University Press
ISBN: 1107095670
Size: 35.60 MB
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A plain language style, worked examples and exercises help students to understand the foundations of computational physics and engineering.

The Graduate Student S Guide To Numerical Analysis 98

Author: Mark Ainsworth
Publisher: Springer Science & Business Media
ISBN: 3662039729
Size: 45.85 MB
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Detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics, with each set of notes presenting a self-contained guide to a current research area and supplemented by an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. They start from a level suitable for first year graduates in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. Readers will thus quickly gain an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described, and directions for future research given.

A Student S Guide To General Relativity

Author: Norman Gray
Publisher: Cambridge University Press
ISBN: 1316872297
Size: 14.25 MB
Format: PDF, Kindle
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This compact guide presents the key features of general relativity, to support and supplement the presentation in mainstream, more comprehensive undergraduate textbooks, or as a re-cap of essentials for graduate students pursuing more advanced studies. It helps students plot a careful path to understanding the core ideas and basics of differential geometry, as applied to general relativity, without overwhelming them. While the guide doesn't shy away from necessary technicalities, it emphasises the essential simplicity of the main physical arguments. Presuming a familiarity with special relativity (with a brief account in an appendix), it describes how general covariance and the equivalence principle motivate Einstein's theory of gravitation. It then introduces differential geometry and the covariant derivative as the mathematical technology which allows us to understand Einstein's equations of general relativity. The book is supported by numerous worked exampled and problems, and important applications of general relativity are described in an appendix.

A Student S Guide To Analytical Mechanics

Author: John L. Bohn
Publisher: Cambridge University Press
ISBN: 1108693237
Size: 13.64 MB
Format: PDF
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Analytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks.

A Student S Guide To Python For Physical Modeling

Author: Jesse M. Kinder
Publisher: Princeton University Press
ISBN: 1400889421
Size: 23.61 MB
Format: PDF, Mobi
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A fully updated tutorial on the basics of the Python programming language for science students Python is a computer programming language that is rapidly gaining popularity throughout the sciences. This fully updated edition of A Student's Guide to Python for Physical Modeling aims to help you, the student, teach yourself enough of the Python programming language to get started with physical modeling. You will learn how to install an open-source Python programming environment and use it to accomplish many common scientific computing tasks: importing, exporting, and visualizing data; numerical analysis; and simulation. No prior programming experience is assumed. This tutorial focuses on fundamentals and introduces a wide range of useful techniques, including: Basic Python programming and scripting Numerical arrays Two- and three-dimensional graphics Monte Carlo simulations Numerical methods, including solving ordinary differential equations Image processing Animation Numerous code samples and exercises--with solutions—illustrate new ideas as they are introduced. Web-based resources also accompany this guide and include code samples, data sets, and more. This current edition brings the discussion of the Python language, Spyder development environment, and Anaconda distribution up to date. In addition, a new appendix introduces Jupyter notebooks.

Numerical Analysis 1995

Author: D.F. Griffiths
Publisher: CRC Press
ISBN: 9780582276338
Size: 76.52 MB
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This volume contains invited papers presented at the 16th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee, 27-30 June, 1995. The Dundee Conferences are important events in the numerical analysis calendar, and the thirteen papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations, with emphasis on problems in fluid dynamics. It also contains contributions to research into methods of linear algebra, numerical methods for optimisation problems and surface fitting.

Numerical Methods For Solving Partial Differential Equations

Author: George F. Pinder
Publisher: John Wiley & Sons
ISBN: 1119316383
Size: 39.34 MB
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A comprehensive guide to numerical methods for simulating physical-chemical systems This book offers a systematic, highly accessible presentation of numerical methods used to simulate the behavior of physical-chemical systems. Unlike most books on the subject, it focuses on methodology rather than specific applications. Written for students and professionals across an array of scientific and engineering disciplines and with varying levels of experience with applied mathematics, it provides comprehensive descriptions of numerical methods without requiring an advanced mathematical background. Based on its author’s more than forty years of experience teaching numerical methods to engineering students, Numerical Methods for Solving Partial Differential Equations presents the fundamentals of all of the commonly used numerical methods for solving differential equations at a level appropriate for advanced undergraduates and first-year graduate students in science and engineering. Throughout, elementary examples show how numerical methods are used to solve generic versions of equations that arise in many scientific and engineering disciplines. In writing it, the author took pains to ensure that no assumptions were made about the background discipline of the reader. Covers the spectrum of numerical methods that are used to simulate the behavior of physical-chemical systems that occur in science and engineering Written by a professor of engineering with more than forty years of experience teaching numerical methods to engineers Requires only elementary knowledge of differential equations and matrix algebra to master the material Designed to teach students to understand, appreciate and apply the basic mathematics and equations on which Mathcad and similar commercial software packages are based Comprehensive yet accessible to readers with limited mathematical knowledge, Numerical Methods for Solving Partial Differential Equations is an excellent text for advanced undergraduates and first-year graduate students in the sciences and engineering. It is also a valuable working reference for professionals in engineering, physics, chemistry, computer science, and applied mathematics.

A Student S Guide To Studying Psychology

Author: Thomas M. Heffernan
Publisher: Psychology Press
ISBN: 9780863778735
Size: 67.49 MB
Format: PDF, Mobi
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This new edition of the very popular guide to studying psychology, now updated and extended, remains an invaluable tool for students at both undergraduate and pre-degree level, along with those deciding whether to take psychology as an academic subject. Providing insights into the most critical aspects of studying psychology, A Student's Guide to Studying Psychology is distinguished from other texts by its easy follow format and practical nature. Topics covered include: * perspectives within psychology, * making the most of seminars, tutorials and lectures * how to write essays and empirical reports * guidelines on exam preparation and technique * information on careers in psychology and tips for applying for jobs, including how to write your own curriculum vitae

A Student S Guide To Methodology

Author: Peter Clough
Publisher: SAGE
ISBN: 1446208613
Size: 61.16 MB
Format: PDF, ePub
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Essential for anyone undertaking a dissertation or thesis, this title presents clear and straightforward information and advice on the process and functions of methodology.