mathematical principles for scientific computing and visualization

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Mathematical Principles For Scientific Computing And Visualization

Author : Gerald Farin
ISBN : 9781568813219
Genre : Mathematics
File Size : 27. 76 MB
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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.

Graphics And Visualization

Author : T. Theoharis
ISBN : 9781568812748
Genre : Computers
File Size : 51. 97 MB
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This book is a comprehensive introduction to visual computing, dealing with the modeling and synthesis of visual data by means of computers. What sets this book apart from other computer graphics texts is the integrated coverage of computer graphics and visualization topics, including important techniques such as subdivision and multi-resolution modeling, scene graphs, shadow generation, ambient occlusion, and scalar and vector data visualization. Students and practitioners will benefit from the comprehensive coverage of the principles that are the basic tools of their trade, from fundamental computer graphics and classic visualization techniques to advanced topics.

Introduction To Computation And Modeling For Differential Equations

Author : Lennart Edsberg
ISBN : 9781118626214
Genre : Mathematics
File Size : 64. 55 MB
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An introduction to scientific computing for differential equations Introduction to Computation and Modeling for Differential Equations provides a unified and integrated view of numerical analysis, mathematical modeling in applications, and programming to solve differential equations, which is essential in problem-solving across many disciplines, such as engineering, physics, and economics. This book successfully introduces readers to the subject through a unique "Five-M" approach: Modeling, Mathematics, Methods, MATLAB, and Multiphysics. This approach facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation, and it also illustrates how a problem is solved numerically using the appropriate mathematical methods. The book's approach of solving a problem with mathematical, numerical, and programming tools is unique and covers a wide array of topics, from mathematical modeling to implementing a working computer program. The author utilizes the principles and applications of scientific computing to solve problems involving: Ordinary differential equations Numerical methods for Initial Value Problems (IVPs) Numerical methods for Boundary Value Problems (BVPs) Partial Differential Equations (PDEs) Numerical methods for parabolic, elliptic, and hyperbolic PDEs Mathematical modeling with differential equations Numerical solution Finite difference and finite element methods Real-world examples from scientific and engineering applications including mechanics, fluid dynamics, solid mechanics, chemical engineering, electromagnetic field theory, and control theory are solved through the use of MATLAB and the interactive scientific computing program Comsol Multiphysics. Numerous illustrations aid in the visualization of the solutions, and a related Web site features demonstrations, solutions to problems, MATLAB programs, and additional data. Introduction to Computation and Modeling for Differential Equations is an ideal text for courses in differential equations, ordinary differential equations, partial differential equations, and numerical methods at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for researchers and practitioners in the fields of mathematics, engineering, and computer science who would like to refresh and revive their knowledge of the mathematical and numerical aspects as well as the applications of scientific computation.

Introduction To Elementary Computational Modeling

Author : Jose Garrido
ISBN : 9781439867396
Genre : Mathematics
File Size : 26. 90 MB
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With an emphasis on problem solving, this book introduces the basic principles and fundamental concepts of computational modeling. It emphasizes reasoning and conceptualizing problems, the elementary mathematical modeling, and the implementation using computing concepts and principles. Examples are included that demonstrate the computation and visualization of the implemented models. The author provides case studies, along with an overview of computational models and their development. The first part of the text presents the basic concepts of models and techniques for designing and implementing problem solutions. It applies standard pseudo-code constructs and flowcharts for designing models. The second part covers model implementation with basic programming constructs using MATLAB®, Octave, and FreeMat. Aimed at beginning students in computer science, mathematics, statistics, and engineering, Introduction to Elementary Computational Modeling: Essential Concepts, Principles, and Problem Solving focuses on fundamentals, helping the next generation of scientists and engineers hone their problem solving skills.

Introduction To Scientific Visualization

Author : Helen Wright
ISBN : 9781846287558
Genre : Computers
File Size : 20. 73 MB
Format : PDF
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This is a ‘how to’ book for scientific visualization. The book does not treat the subject as a subset of information visualisation, but rather as a subject in its own right. An introduction on the philosophy of the subject sets the scene and the theory of colour perception is introduced. Next, using Brodlie’s taxonomy to underpin its core chapters, it is shown how to classify data. Worked examples are given throughout the text and there are practical ‘sidebars’ for readers with access to the IRIS Explorer software who can try out the demonstrations on an accompanying website. The book concludes with a ‘taster’ of ongoing research.

Musculoskeletal Manual Medicine

Author : Jiri Dvorak
ISBN : 9783131493118
Genre : Medical
File Size : 88. 28 MB
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Written by the authors of the popular Manual Medicine: Diagnostics and Manual Medicine: Therapy, this book is a comprehensive guide to integrating manual medicine into the diagnosis and clinical management of musculoskeletal disorders and pain syndromes. Brimming with instructive images and illustrations, the book provides a solid foundation in general principles of manual medicine, spinal biomechanics, neurophysiology, as well as treatments for each disorder and condition. Separate sections on the spine, limbs, and muscles present clinical applications for structural diagnosis and functional treatment. Highlights Practical examples of evidence-based approaches to manual medicine 1,313 illustrations and photographs of superb quality that rapidly demonstrate key concepts Coverage of the essentials of the neuro-musculoskeletal examination with step-by-step descriptions of the techniques for observation, palpation, motion tests, functional examination, and provocative tests, including quick screening tests Chapter on the various components of nonradicular pain syndromes, including muscle pain syndromes, with clear diagnostic criteria for distinguishing the non-radicular and soft-tissue pain syndromes from other pain syndromes Succinct descriptions of common clinical neuro-orthopedic disorders and syndromes of the spine, upper limb, and lower limb in tabular format--ideal for rapid reference and review Discussion of the rationale for selecting particular low-risk treatment interventions, as well as a thorough discussion of indications and contraindications for patients with potentially increased risk Discussion of important considerations for documentation, informed consent, patient monitoring, and follow-up measures Practical section with descriptions of exercises for patients to do on their own Potential considerations for future research This book will serve as the definitive reference for all practitioners involved in the diagnosis and medical management of locomotor disorders and painful conditions. It will enable clinicians to enhance their diagnostic and treatment armamentarium by incorporating manual medicine techniques based on the current, evidence-based knowledge of the interrelationships between structure and function.

Data Visualization

Author : Alexandru C. Telea
ISBN : 9781466585263
Genre : Computers
File Size : 89. 17 MB
Format : PDF, ePub
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Designing a complete visualization system involves many subtle decisions. When designing a complex, real-world visualization system, such decisions involve many types of constraints, such as performance, platform (in)dependence, available programming languages and styles, user-interface toolkits, input/output data format constraints, integration with third-party code, and more. Focusing on those techniques and methods with the broadest applicability across fields, the second edition of Data Visualization: Principles and Practice provides a streamlined introduction to various visualization techniques. The book illustrates a wide variety of applications of data visualizations, illustrating the range of problems that can be tackled by such methods, and emphasizes the strong connections between visualization and related disciplines such as imaging and computer graphics. It covers a wide range of sub-topics in data visualization: data representation; visualization of scalar, vector, tensor, and volumetric data; image processing and domain modeling techniques; and information visualization. See What’s New in the Second Edition: Additional visualization algorithms and techniques New examples of combined techniques for diffusion tensor imaging (DTI) visualization, illustrative fiber track rendering, and fiber bundling techniques Additional techniques for point-cloud reconstruction Additional advanced image segmentation algorithms Several important software systems and libraries Algorithmic and software design issues are illustrated throughout by (pseudo)code fragments written in the C++ programming language. Exercises covering the topics discussed in the book, as well as datasets and source code, are also provided as additional online resources.

A First Course In Scientific Computing

Author : Rubin H. Landau
ISBN : 9780691121833
Genre : Computers
File Size : 21. 82 MB
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Mathematica, Fortran90, Maple, and Java on the accompanying CD-ROM in an interactive workbook format.

Matlab For Neuroscientists

Author : Pascal Wallisch
ISBN : 9780123838377
Genre : Computers
File Size : 25. 44 MB
Format : PDF, Kindle
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MATLAB for Neuroscientists serves as the only complete study manual and teaching resource for MATLAB, the globally accepted standard for scientific computing, in the neurosciences and psychology. This unique introduction can be used to learn the entire empirical and experimental process (including stimulus generation, experimental control, data collection, data analysis, modeling, and more), and the 2nd Edition continues to ensure that a wide variety of computational problems can be addressed in a single programming environment. This updated edition features additional material on the creation of visual stimuli, advanced psychophysics, analysis of LFP data, choice probabilities, synchrony, and advanced spectral analysis. Users at a variety of levels—advanced undergraduates, beginning graduate students, and researchers looking to modernize their skills—will learn to design and implement their own analytical tools, and gain the fluency required to meet the computational needs of neuroscience practitioners. The first complete volume on MATLAB focusing on neuroscience and psychology applications Problem-based approach with many examples from neuroscience and cognitive psychology using real data Illustrated in full color throughout Careful tutorial approach, by authors who are award-winning educators with strong teaching experience

Pandas Cookbook

Author : Theodore Petrou
ISBN : 9781784393342
Genre : Computers
File Size : 69. 35 MB
Format : PDF, Kindle
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Over 95 hands-on recipes to leverage the power of pandas for efficient scientific computation and data analysis About This Book Use the power of pandas to solve most complex scientific computing problems with ease Leverage fast, robust data structures in pandas to gain useful insights from your data Practical, easy to implement recipes for quick solutions to common problems in data using pandas Who This Book Is For This book is for data scientists, analysts and Python developers who wish to explore data analysis and scientific computing in a practical, hands-on manner. The recipes included in this book are suitable for both novice and advanced users, and contain helpful tips, tricks and caveats wherever necessary. Some understanding of pandas will be helpful, but not mandatory. What You Will Learn Master the fundamentals of pandas to quickly begin exploring any dataset Isolate any subset of data by properly selecting and querying the data Split data into independent groups before applying aggregations and transformations to each group Restructure data into tidy form to make data analysis and visualization easier Prepare real-world messy datasets for machine learning Combine and merge data from different sources through pandas SQL-like operations Utilize pandas unparalleled time series functionality Create beautiful and insightful visualizations through pandas direct hooks to Matplotlib and Seaborn In Detail This book will provide you with unique, idiomatic, and fun recipes for both fundamental and advanced data manipulation tasks with pandas. Some recipes focus on achieving a deeper understanding of basic principles, or comparing and contrasting two similar operations. Other recipes will dive deep into a particular dataset, uncovering new and unexpected insights along the way. The pandas library is massive, and it's common for frequent users to be unaware of many of its more impressive features. The official pandas documentation, while thorough, does not contain many useful examples of how to piece together multiple commands like one would do during an actual analysis. This book guides you, as if you were looking over the shoulder of an expert, through practical situations that you are highly likely to encounter. Many advanced recipes combine several different features across the pandas library to generate results. Style and approach The author relies on his vast experience teaching pandas in a professional setting to deliver very detailed explanations for each line of code in all of the recipes. All code and dataset explanations exist in Jupyter Notebooks, an excellent interface for exploring data.

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