An Introduction to Scientific, Symbolic, and Graphical Computation

An Introduction to Scientific, Symbolic, and Graphical Computation
Author: Eugene Fiume
Publisher: CRC Press
Total Pages: 322
Release: 2018-10-08
Genre: Mathematics
ISBN: 1439864462

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This down-to-earth introduction to computation makes use of the broad array of techniques available in the modern computing environment. A self-contained guide for engineers and other users of computational methods, it has been successfully adopted as a text in teaching the next generation of mathematicians and computer graphics majors.

Scientific Programming

Scientific Programming
Author: Jorge Alberto Calvo
Publisher: Cambridge Scholars Publishing
Total Pages: 562
Release: 2018-12-19
Genre: Computers
ISBN: 1527523845

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This book offers an introduction to computer programming, numerical analysis, and other mathematical ideas that extend the basic topics learned in calculus. It illustrates how mathematicians and scientists write computer programs, covering the general building blocks of programming languages and a description of how these concepts fit together to allow computers to produce the results they do. Topics explored here include binary arithmetic, algorithms for rendering graphics, the smooth interpolation of discrete data, and the numerical approximation of non-elementary integrals. The book uses an open-source computer algebra system called Maxima. Using Maxima, first-time programmers can perform familiar tasks, such as graphing functions or solving equations, and learn the basic structures of programming before moving on to other popular programming languages. The epilogue provides some simple examples of how this process works in practice. The book will particularly appeal to students who have finished their calculus sequence.

A First Course in Scientific Computing

A First Course in Scientific Computing
Author: Rubin Landau
Publisher: Princeton University Press
Total Pages: 506
Release: 2011-10-30
Genre: Computers
ISBN: 1400841178

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This book offers a new approach to introductory scientific computing. It aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the pieces can work together. Rubin Landau introduces the requisite mathematics and computer science in the course of realistic problems, from energy use to the building of skyscrapers to projectile motion with drag. He is attentive to how each discipline uses its own language to describe the same concepts and how computations are concrete instances of the abstract. Landau covers the basics of computation, numerical analysis, and programming from a computational science perspective. The first part of the printed book uses the problem-solving environment Maple as its context, with the same material covered on the accompanying CD as both Maple and Mathematica programs; the second part uses the compiled language Java, with equivalent materials in Fortran90 on the CD; and the final part presents an introduction to LaTeX replete with sample files. Providing the essentials of computing, with practical examples, A First Course in Scientific Computing adheres to the principle that science and engineering students learn computation best while sitting in front of a computer, book in hand, in trial-and-error mode. Not only is it an invaluable learning text and an essential reference for students of mathematics, engineering, physics, and other sciences, but it is also a consummate model for future textbooks in computational science and engineering courses. A broad spectrum of computing tools and examples that can be used throughout an academic career Practical computing aimed at solving realistic problems Both symbolic and numerical computations A multidisciplinary approach: science + math + computer science Maple and Java in the book itself; Mathematica, Fortran90, Maple and Java on the accompanying CD in an interactive workbook format

Mathematical Principles for Scientific Computing and Visualization

Mathematical Principles for Scientific Computing and Visualization
Author: Gerald Farin
Publisher: CRC Press
Total Pages: 296
Release: 2008-10-21
Genre: Mathematics
ISBN: 156881321X

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This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coordinate systems, an introduction to facets (planes and triangle meshes) and an introduction to computer graphics. The scientific computing part of the book covers topics in numerical linear algebra (basics, solving linear system, eigen-problems, SVD, and PCA) and numerical calculus (basics, data fitting, dynamic processes, root finding, and multivariate functions). The visualization component of the book is separated into three parts: empirical data, scalar values over 2D data, and volumes.

Symbolic-Numeric Computation

Symbolic-Numeric Computation
Author: Dongming Wang
Publisher: Springer Science & Business Media
Total Pages: 391
Release: 2007-06-25
Genre: Mathematics
ISBN: 3764379847

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The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations. These two types of computation coexist in mathematics yet are separated in traditional research of mathematical computation. This book presents 27 research articles on the integration and interaction of symbolic and numeric computation.

Axiom

Axiom
Author: Richard D. Jenks
Publisher: Springer Verlag
Total Pages: 786
Release: 1992
Genre: Axiom (Computer file).
ISBN:

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Mathematics of Computing -- Mathematical Software.

An Introduction to Scientific Computation and Programming

An Introduction to Scientific Computation and Programming
Author: Daniel Kaplan
Publisher: Cengage Learning
Total Pages: 564
Release: 2004
Genre: Computers
ISBN:

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This book provides students with the modern skills and concepts needed to be able to use the computer expressively in scientific work. The author takes an integrated approach by covering programming, important methods and techniques of scientific computation (graphics, the organization of data, data acquisition, numerical methods, etc.) and the organization of software. Balancing the best of the teach-a-package and teach-a-language approaches, the book teaches general-purpose language skills and concepts, and also takes advantage of existing package-like software so that realistic computations can be performed.

Symbolic Computation

Symbolic Computation
Author: Robert Grossman
Publisher: SIAM
Total Pages: 191
Release: 1989-01-01
Genre: Technology & Engineering
ISBN: 0898712394

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Mathematics of Computing -- Numerical Analysis.

A Gentle Introduction to Scientific Computing

A Gentle Introduction to Scientific Computing
Author: Dan Stanescu
Publisher: CRC Press
Total Pages: 241
Release: 2022-05-01
Genre: Mathematics
ISBN: 0429557930

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Scientific Computation has established itself as a stand-alone area of knowledge at the borderline between computer science and applied mathematics. Nonetheless, its interdisciplinary character cannot be denied: its methodologies are increasingly used in a wide variety of branches of science and engineering. A Gentle Introduction to Scientific Computing intends to serve a very broad audience of college students across a variety of disciplines. It aims to expose its readers to some of the basic tools and techniques used in computational science, with a view to helping them understand what happens "behind the scenes" when simple tools such as solving equations, plotting and interpolation are used. To make the book as practical as possible, the authors explore their subject both from a theoretical, mathematical perspective and from an implementation-driven, programming perspective. Features Middle-ground approach between theory and implementation. Suitable reading for a broad range of students in STEM disciplines. Could be used as the primary text for a first course in scientific computing. Introduces mathematics majors, without any prior computer science exposure, to numerical methods. All mathematical knowledge needed beyond Calculus (together with the most widely used Calculus notation and concepts) is introduced in the text to make it self-contained.

Introduction to Scientific Programming

Introduction to Scientific Programming
Author: Joseph L. Zachary
Publisher: Springer Science & Business Media
Total Pages: 390
Release: 2012-12-06
Genre: Computers
ISBN: 1461223660

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"Introduction to Computational Science" was developed over a period of two years at the University of Utah Department of Computer Science in conjunction with the U.S. Department of Energy-funded Undergraduate Computation in Engineering Science (UCES) program. Each chapter begins by introducing a problem and then guiding the student through its solution. The computational techniques needed to solve the problem are developed as necassary, making the motivation for learning the computing alwasy apparent. Each chapter will introduce a single problem that will be used to motivate a single computing concept. The notes currently consist of 15 chapters. The first seven chapters deal with Maple and the last eight with C. The textbook will contain 20 to 30 chapters covering a similar mix of concepts at a finer level of detail.