Numerical Analysis Using Sage

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Numerical Analysis Using Sage

Author : George A. Anastassiou
Publisher : Springer
ISBN 13 : 3319167391
Total Pages : 314 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Numerical Analysis Using Sage by : George A. Anastassiou

Download or read book Numerical Analysis Using Sage written by George A. Anastassiou and published by Springer. This book was released on 2015-04-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates in mathematics, math education, computer science/information technology, engineering, and physical sciences. The primary aim of this text is to simplify understanding of the theories and ideas from a numerical analysis/numerical methods course via a modern programming language like Sage. Aside from the presentation of fundamental theoretical notions of numerical analysis throughout the text, each chapter concludes with several exercises that are oriented to real-world application. Answers may be verified using Sage. The presented code, written in core components of Sage, are backward compatible, i.e., easily applicable to other software systems such as Mathematica®. Sage is open source software and uses Python-like syntax. Previous Python programming experience is not a requirement for the reader, though familiarity with any programming language is a plus. Moreover, the code can be written using any web browser and is therefore useful with Laptops, Tablets, iPhones, Smartphones, etc. All Sage code that is presented in the text is openly available on SpringerLink.com.

An Introduction to SAGE Programming

Author : Razvan A. Mezei
Publisher : John Wiley & Sons
ISBN 13 : 1119122783
Total Pages : 243 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis An Introduction to SAGE Programming by : Razvan A. Mezei

Download or read book An Introduction to SAGE Programming written by Razvan A. Mezei and published by John Wiley & Sons. This book was released on 2015-12-29 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features a simplified presentation of numerical methods by introducing and implementing SAGE programs An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods emphasizes how to implement numerical methods using SAGE Math and SAGE Interacts and also addresses the fundamentals of computer programming, including if statements, loops, functions, and interacts. The book also provides a unique introduction to SAGE and its computer algebra system capabilities; discusses second and higher order equations and estimate limits; and determines derivatives, integrals, and summations. Providing critical resources for developing successful interactive SAGE numerical computations, the book is accessible without delving into the mathematical rigor of numerical methods. The author illustrates the benefits of utilizing the SAGE language for calculus and the numerical analysis of various methods such as bisection methods, numerical integration, Taylor’s expansions, and Newton’s iterations. Providing an introduction to the terminology and concepts involved, An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods also features: An introduction to computer programming using SAGE Many practical examples throughout to illustrate the application of SAGE Interacts for various numerical methods Discussions on how to use SAGE Interacts and SAGE Cloud in order to create mathematical demonstrations Numerous homework problems and exercises that allow readers to practice their programming skillset A companion website that includes related SAGE programming code and select solutions to the homework problems and exercises An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods is an ideal reference for applied mathematicians who need to employ SAGE for the study of numerical methods and analysis. The book is also an appropriate supplemental textbook for upper-undergraduate and graduate-level courses in numerical methods.

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.

Sage for Undergraduates

Author : Gregory V. Bard
Publisher : American Mathematical Soc.
ISBN 13 : 1470411113
Total Pages : 3520 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Sage for Undergraduates by : Gregory V. Bard

Download or read book Sage for Undergraduates written by Gregory V. Bard and published by American Mathematical Soc.. This book was released on 2015-02-16 with total page 3520 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the open-source and free competitor to expensive software like MapleTM, Mathematica®, Magma, and MATLAB®, Sage offers anyone with access to a web browser the ability to use cutting-edge mathematical software and display his or her results for others, often with stunning graphics. This book is a gentle introduction to Sage for undergraduate students toward the end of Calculus II (single-variable integral calculus) or higher-level course work such as Multivariate Calculus, Differential Equations, Linear Algebra, or Math Modeling. The book assumes no background in computer science, but the reader who finishes the book will have learned about half of a first semester Computer Science I course, including large parts of the Python programming language. The audience of the book is not only math majors, but also physics, engineering, finance, statistics, chemistry, and computer science majors.

Sage Beginner's Guide

Author : Craig Finch
Publisher : Packt Publishing Ltd
ISBN 13 : 184951447X
Total Pages : 364 pages
Book Rating : 4.8/5 (495 download)

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Book Synopsis Sage Beginner's Guide by : Craig Finch

Download or read book Sage Beginner's Guide written by Craig Finch and published by Packt Publishing Ltd. This book was released on 2011-05-11 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation Your work demands results, and you don't have time for tedious, repetitive mathematical tasks. Sage is a free, open-source software package that automates symbolic and numerical calculations with the power of the Python programming language, so you can focus on the analytical and creative aspects of your work or studies. Sage Beginner's Guide shows you how to do calculations with Sage. Each concept is illustrated with a complete example that you can use as a starting point for your own work. You will learn how to use many of the functions that are built in to Sage, and how to use Python to write sophisticated programs that utilize the power of Sage. This book starts by showing you how to download and install Sage, and introduces the command-line interface and the graphical notebook interface. It also includes an introduction to Python so you can start programming in Sage. Every major concept is illustrated with a practical example. After learning the fundamentals of variables and functions in Sage, you will learn how to symbolically simplify expressions, solve equations, perform integrals and derivatives, and manipulate vectors and matrices. You will learn how Sage can produce numerous kinds of plots and graphics. The book will demonstrate numerical methods in Sage, and explain how to use object-oriented programming to improve your code. Sage Beginner's Guide will give you the tools you need to unlock the full potential of Sage for simplifying and automating mathematical computing. Effectively use Sage to eliminate tedious algebra, speed up numerical calculations, implement algorithms and data structures, and illustrate your work with publication-quality plots and graphics.

Introduction to Differential Equations Using Sage

Author : David Joyner
Publisher : JHU Press
ISBN 13 : 1421406373
Total Pages : 281 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Introduction to Differential Equations Using Sage by : David Joyner

Download or read book Introduction to Differential Equations Using Sage written by David Joyner and published by JHU Press. This book was released on 2012-08-15 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Joyner and Marshall Hampton’s lucid textbook explains differential equations using the free and open-source mathematical software Sage. Since its release in 2005, Sage has acquired a substantial following among mathematicians, but its first user was Joyner, who is credited with helping famed mathematician William Stein turn the program into a usable and popular choice. Introduction to Differential Equations Using Sage extends Stein's work by creating a classroom tool that allows both differential equations and Sage to be taught concurrently. It’s a creative and forward-thinking approach to math instruction. Topics include: • First-Order Differential Equations • Incorporation of Newtonian Mechanics• Second-Order Differential Equations• The Annihilator Method• Using Linear Algebra with Differential Equations• Nonlinear Systems• Partial Differential Equations• Romeo and Juliet

Introduction to Numerical Analysis

Author : J. Stoer
Publisher : Springer Science & Business Media
ISBN 13 : 1475722729
Total Pages : 674 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Introduction to Numerical Analysis by : J. Stoer

Download or read book Introduction to Numerical Analysis written by J. Stoer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.

Prime Numbers and the Riemann Hypothesis

Author : Barry Mazur
Publisher : Cambridge University Press
ISBN 13 : 1107101921
Total Pages : 155 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Prime Numbers and the Riemann Hypothesis by : Barry Mazur

Download or read book Prime Numbers and the Riemann Hypothesis written by Barry Mazur and published by Cambridge University Press. This book was released on 2016-04-11 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.

Metric Scaling

Author : Susan C. Weller
Publisher : SAGE
ISBN 13 : 9780803937505
Total Pages : 100 pages
Book Rating : 4.9/5 (375 download)

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Book Synopsis Metric Scaling by : Susan C. Weller

Download or read book Metric Scaling written by Susan C. Weller and published by SAGE. This book was released on 1990 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a set of closely related techniques that facilitate the exploration and display of a wide variety of multivariate data, both categorical and continuous. Three methods of metric scaling, correspondence analysis, principal components analysis, and multiple dimensional preference scaling are explored in detail for strengths and weaknesses over a wide range of data types and research situations. "The introduction illustrates the methods with a small dataset. This approach is effective--in a few minutes, with no mathematical requirement, the reader can understand the capabilities, similarities, and differences of the methods. . . . Numerical examples facilitate learning. The authors use several examples with small datasets that illustrate very well the links and the differences between the methods. . . . we find this text very good and recommend it for graduate students and social science researchers, especially those who are interested in applying some of these methods and in knowing the relationship among them." --Journal of Marketing Research "Illustrate[s] the service Sage provides by making high-quality works on research methods available at modest prices. . . . The authors use several interesting examples of practical applications on data sets, ranging from contraception preferences, to pottery shards from archeological digs, to durable consumer goods from market research. These examples indicate the broad range of possible applications of the method to social science data." --Contemporary Sociology "The book is a bargain; it is clearly written." --Journal of Classification

Numerical Methods for Partial Differential Equations

Author : Vitoriano Ruas
Publisher : John Wiley & Sons
ISBN 13 : 1119111366
Total Pages : 376 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Numerical Methods for Partial Differential Equations by : Vitoriano Ruas

Download or read book Numerical Methods for Partial Differential Equations written by Vitoriano Ruas and published by John Wiley & Sons. This book was released on 2016-04-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use New techniques are employed to derive known results, thereby simplifying their proof Supplementary material is available from a companion website.

Selected Unsolved Problems in Coding Theory

Author : David Joyner
Publisher : Springer Science & Business Media
ISBN 13 : 0817682562
Total Pages : 211 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Selected Unsolved Problems in Coding Theory by : David Joyner

Download or read book Selected Unsolved Problems in Coding Theory written by David Joyner and published by Springer Science & Business Media. This book was released on 2011-08-26 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades. Employing Sage—a free open-source mathematics software system—to illustrate ideas, this book is intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.

Intelligent Routines II

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
ISBN 13 : 3319019678
Total Pages : 306 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Intelligent Routines II by : George A. Anastassiou

Download or read book Intelligent Routines II written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2013-12-05 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Intelligent Routines II: Solving Linear Algebra and Differential Geometry with Sage” contains numerous of examples and problems as well as many unsolved problems. This book extensively applies the successful software Sage, which can be found free online http://www.sagemath.org/. Sage is a recent and popular software for mathematical computation, available freely and simple to use. This book is useful to all applied scientists in mathematics, statistics and engineering, as well for late undergraduate and graduate students of above subjects. It is the first such book in solving symbolically with Sage problems in Linear Algebra and Differential Geometry. Plenty of SAGE applications are given at each step of the exposition.

Introduction to Educational Research

Author : W. Newton Suter
Publisher : SAGE
ISBN 13 : 1412995736
Total Pages : 529 pages
Book Rating : 4.4/5 (129 download)

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Book Synopsis Introduction to Educational Research by : W. Newton Suter

Download or read book Introduction to Educational Research written by W. Newton Suter and published by SAGE. This book was released on 2012 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Introduction to Educational Research: A Critical Thinking Approach 2e is an engaging and informative core text that enables students to think clearly and critically about the scientific process of research. In acheiving its goal to make research accessible to all educators and equip them with the skills to understand and evaluate published research, the text examines how educational research is conducted across the major traditions of quantitative, qualitative, mixed methods, and action research. The text is oriented toward consumers of educational research and uses a thinking-skills approach to its coverage of major ideas"--

An Introduction to Numerical Methods and Analysis

Author : James F. Epperson
Publisher : John Wiley & Sons
ISBN 13 : 1118626230
Total Pages : 579 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis An Introduction to Numerical Methods and Analysis by : James F. Epperson

Download or read book An Introduction to Numerical Methods and Analysis written by James F. Epperson and published by John Wiley & Sons. This book was released on 2013-06-06 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many detailed worked examples . . ." —The Mathematical Gazette ". . . an up-to-date and user-friendly account . . ." —Mathematika An Introduction to Numerical Methods and Analysis addresses the mathematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics. A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth. The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.

Computational Mathematics with SageMath

Author : P. Zimmermann
Publisher : SIAM
ISBN 13 : 1611975468
Total Pages : 464 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 464 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.

Understanding Regression Analysis

Author : Larry D. Schroeder
Publisher : SAGE Publications
ISBN 13 : 1506361617
Total Pages : 122 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Understanding Regression Analysis by : Larry D. Schroeder

Download or read book Understanding Regression Analysis written by Larry D. Schroeder and published by SAGE Publications. This book was released on 2016-11-08 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Regression Analysis: An Introductory Guide by Larry D. Schroeder, David L. Sjoquist, and Paula E. Stephan presents the fundamentals of regression analysis, from its meaning to uses, in a concise, easy-to-read, and non-technical style. It illustrates how regression coefficients are estimated, interpreted, and used in a variety of settings within the social sciences, business, law, and public policy. Packed with applied examples and using few equations, the book walks readers through elementary material using a verbal, intuitive interpretation of regression coefficients, associated statistics, and hypothesis tests. The Second Edition features updated examples and new references to modern software output.

Interaction Effects in Multiple Regression

Author : James Jaccard
Publisher : SAGE Publications
ISBN 13 : 1544332572
Total Pages : 104 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Interaction Effects in Multiple Regression by : James Jaccard

Download or read book Interaction Effects in Multiple Regression written by James Jaccard and published by SAGE Publications. This book was released on 2003-03-05 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interaction Effects in Multiple Regression has provided students and researchers with a readable and practical introduction to conducting analyses of interaction effects in the context of multiple regression. The new addition will expand the coverage on the analysis of three way interactions in multiple regression analysis. Learn more about "The Little Green Book" - QASS Series! Click Here