a short course in computational science and engineering

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A Short Course In Computational Science And Engineering

Author : David Yevick
ISBN : 9781107375413
Genre : Science
File Size : 23. 37 MB
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Building on his highly successful textbook on C++, David Yevick provides a concise yet comprehensive one-stop course in three key programming languages, C++, Java and Octave (a freeware alternative to MATLAB). Employing only public-domain software, this book presents a unique overview of numerical and programming techniques, including object-oriented programming, elementary and advanced topics in numerical analysis, physical system modelling, scientific graphics, software engineering and performance issues. Compact, transparent code in all three programming languages is applied to the fundamental equations of quantum mechanics, electromagnetics, mechanics and statistical mechanics. Uncommented versions of the code that can be immediately modified and adapted are provided online for the more involved programs. This compact, practical text is an invaluable introduction for students in all undergraduate- and graduate-level courses in the physical sciences or engineering that require numerical modelling, and also a key reference for instructors and scientific programmers.

A Short Course In Computational Geometry And Topology

Author : Herbert Edelsbrunner
ISBN : 9783319059570
Genre : Computers
File Size : 77. 17 MB
Format : PDF, Mobi
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This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is indispensable for applications, e.g. shape reconstruction. The target audience comprises researchers and practitioners in mathematics, biology, neuroscience and computer science, but the book may also be beneficial to graduate students of these fields.

A First Course In Computational Physics And Object Oriented Programming With C Hardback With Cd Rom

Author : David Yevick
ISBN : 0521827787
Genre : Computers
File Size : 88. 34 MB
Format : PDF, Docs
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Because of its rich object-oriented features, C++ is rapidly becoming the programming language of choice for science and engineering applications. This text leads beginning and intermediate programmers step-by-step through the difficult aspects of scientific coding, providing a comprehensive survey of object-oriented methods. Numerous aspects of modern programming practice are covered, including object-oriented analysis and design tools, numerical analysis, scientific graphics, software engineering, performance issues and legacy software reuse. Examples and problems are drawn from an extensive range of scientific and engineering applications. The book also includes a full set of free programming and scientific graphics tools that facilitate individual learning and reduce the time required to supervise code development in a classroom setting. This unique text will be invaluable both to students taking a first or second course in computational science and as a reference text for scientific programmers.

A First Course On Numerical Methods

Author : Uri M. Ascher
ISBN : 9780898719970
Genre : Mathematics
File Size : 72. 79 MB
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Offers students a practical knowledge of modern techniques in scientific computing.

Fundamental Math And Physics For Scientists And Engineers

Author : David Yevick
ISBN : 9781118979808
Genre : Science
File Size : 36. 12 MB
Format : PDF, Mobi
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Provides a concise overview of the core undergraduate physics and applied mathematics curriculum for students and practitioners of science and engineering Fundamental Math and Physics for Scientists and Engineers summarizes college and university level physics together with the mathematics frequently encountered in engineering and physics calculations. The presentation provides straightforward, coherent explanations of underlying concepts emphasizing essential formulas, derivations, examples, and computer programs. Content that should be thoroughly mastered and memorized is clearly identified while unnecessary technical details are omitted. Fundamental Math and Physics for Scientists and Engineers is an ideal resource for undergraduate science and engineering students and practitioners, students reviewing for the GRE and graduate-level comprehensive exams, and general readers seeking to improve their comprehension of undergraduate physics. Covers topics frequently encountered in undergraduate physics, in particular those appearing in the Physics GRE subject examination Reviews relevant areas of undergraduate applied mathematics, with an overview chapter on scientific programming Provides simple, concise explanations and illustrations of underlying concepts Succinct yet comprehensive, Fundamental Math and Physics for Scientists and Engineers constitutes a reference for science and engineering students, practitioners and non-practitioners alike.

Computational Topology

Author : Herbert Edelsbrunner
ISBN : 9780821849255
Genre : Mathematics
File Size : 50. 38 MB
Format : PDF, ePub
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Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.

An Introduction To Mathematical Modeling

Author : J. Tinsley Oden
ISBN : 9781118105740
Genre : Mathematics
File Size : 53. 99 MB
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A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.

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