Computer-Supported Calculus, A. Ben-Israel; R. Gilbert
Автор: Thomas A. Garrity Название: All the Math You Missed ISBN: 1009009192 ISBN-13(EAN): 9781009009195 Издательство: Cambridge Academ Рейтинг: Цена: 26400.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition of this bestselling book provides an overview of the key topics in undergraduate mathematics, allowing beginning graduate students to fill in any gaps in their knowledge. With numerous examples, exercises and suggestions for further reading, it is a must-have for anyone looking to learn some serious mathematics quickly.
Автор: Matthias Dehmer, Salissou Moutari, Frank Emmert-Streib Название: Mathematical Foundations of Data Science Using R ISBN: 311056467X ISBN-13(EAN): 9783110564679 Издательство: Walter de Gruyter Цена: 61920.00 T Наличие на складе: Нет в наличии. Описание:
In order best exploit the incredible quantities of data being generated in most diverse disciplines data sciences increasingly gain worldwide importance. The book gives the mathematical foundations to handle data properly. It introduces basics and functionalities of the R programming language which has become the indispensable tool for data sciences. Thus it delivers the reader the skills needed to build own tool kits of a modern data scientist.
This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs).
After the introduction of several PDEs drawn from science and engineering, the reader is introduced to techniques used to obtain exact solutions of NPDEs. The chapters include the following topics: Compatibility, Differential Substitutions, Point and Contact Transformations, First Integrals, and Functional Separability. The reader is guided through these chapters and is provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter.
The book can be used as a textbook for a second course in PDEs (typically found in both science and engineering programs) and has been used at the University of Central Arkansas for more than ten years.
Автор: Jin-Yi Cai, Xi Chen Название: Complexity Dichotomies for Counting Problems: Volume 1, Boolean Domain ISBN: 1107062373 ISBN-13(EAN): 9781107062375 Издательство: Cambridge Academ Рейтинг: Цена: 155230.00 T Наличие на складе: Невозможна поставка. Описание: Complexity theory aims to understand and classify computational problems according to their inherent complexity. This book uses new techniques to expand the theory for use with counting problems on the Boolean domain and is broadly accessible to researchers and graduate students.
Автор: David L. Chopp Название: Introduction to High Performance Scientific Computing ISBN: 1611975638 ISBN-13(EAN): 9781611975635 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 76910.00 T Наличие на складе: Нет в наличии. Описание: Based on a course developed by the author, Introduction to High Performance Scientific Computing introduces methods for adding parallelism to numerical methods for solving differential equations. It contains exercises and programming projects that facilitate learning as well as examples and discussions based on the C programming language, with additional comments for those already familiar with C . The text provides an overview of concepts and algorithmic techniques for modern scientific computing and is divided into six self-contained parts that can be assembled in any order to create an introductory course using available computer hardware.Part I introduces the C programming language for those not already familiar with programming in a compiled language. Part II describes parallelism on shared memory architectures using OpenMP. Part III details parallelism on computer clusters using MPI for coordinating a computation. Part IV demonstrates the use of graphical programming units (GPUs) to solve problems using the CUDA language for NVIDIA graphics cards. Part V addresses programming on GPUs for non-NVIDIA graphics cards using the OpenCL framework. Finally, Part VI contains a brief discussion of numerical methods and applications, giving the reader an opportunity to test the methods on typical computing problems. Introduction to High Performance Scientific Computing is intended for advanced undergraduate or beginning graduate students who have limited exposure to programming or parallel programming concepts. Extensive knowledge of numerical methods is not assumed. The material can be adapted to the available computational hardware, from OpenMP on simple laptops or desktops to MPI on computer clusters or CUDA and OpenCL for computers containing NVIDIA or other graphics cards. Experienced programmers unfamiliar with parallel programming will benefit from comparing the various methods to determine the type of parallel programming best suited for their application. The book can be used for courses on parallel scientific computing, high performance computing, and numerical methods for parallel computing.
Автор: Pan Название: Static Green`s Functions in Anisotropic Media ISBN: 1107034809 ISBN-13(EAN): 9781107034808 Издательство: Cambridge Academ Рейтинг: Цена: 147840.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents basic theory on static Green`s functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. It is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.
Автор: Ulrich Kulisch Название: Computer Arithmetic and Validity: Theory, Implementation, and Applications ISBN: 3110301733 ISBN-13(EAN): 9783110301731 Издательство: Walter de Gruyter Цена: 148700.00 T Наличие на складе: Невозможна поставка. Описание: This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.
An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease.
The use of (1) as an illustration of a methodology for the computer-based modeling of communicable diseases.
For the purposes of (1) and (2), a basic influenza model is formulated as a system of partial differential equations (PDEs) that define the spatiotemporal evolution of four populations: susceptibles, untreated and treated infecteds, and recovereds. The requirements of a well-posed PDE model are considered, including the initial and boundary conditions. The terms of the PDEs are explained.
The computer implementation of the model is illustrated with a detailed line-by-line explanation of a system of routines in R (a quality, open-source scientific computing system that is readily available from the Internet). The R routines demonstrate the straightforward numerical solution of a system of nonlinear PDEs by the method of lines (MOL), an established general algorithm for PDEs.
The presentation of the PDE modeling methodology is introductory with a minumum of formal mathematics (no theorems and proofs), and with emphasis on example applications. The intent of the book is to assist in the initial understanding and use of PDE mathematical modeling of communicable diseases, and the explanation and interpretation of the computed model solutions, as illustrated with the influenza model.
Автор: Vetterli Название: Foundations of Signal Processing ISBN: 110703860X ISBN-13(EAN): 9781107038608 Издательство: Cambridge Academ Рейтинг: Цена: 69690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This comprehensive, accessible textbook covers the basics of signal processing, building up from fundamental principles to practical applications. It uses engineering notation to make mathematical concepts easy to follow, includes numerous homework problems and is accompanied by an extensive Mathematica (R) companion and instructor solutions manual.
Автор: Tom Richmond Название: General Topology: An Introduction ISBN: 3110686562 ISBN-13(EAN): 9783110686562 Издательство: Walter de Gruyter Рейтинг: Цена: 96630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.
Автор: William E. Schiesser Название: PDE Models for Atherosclerosis Computer Implementation in R ISBN: 1681734451 ISBN-13(EAN): 9781681734453 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 82230.00 T Наличие на складе: Невозможна поставка. Описание: Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death. Cholesterol in the blood is a key marker for atherosclerosis, with two forms: (1) LDL - low density lipoproteins and (2) HDL - high density lipoproteins. Low LDL and high HDL concentrations are generally considered essential for limited atherosclerosis and good health.This book pertains to a mathematical model for the spatiotemporal distribution of LDL and HDL in the arterial endothelial inner layer (EIL, intima). The model consists of a system of six partial differential equations (PDEs) with the dependent variables1. concentration of modified LDL2. ℎ concentration of HDL3. concentration of chemoattractants4. concentration of ES cytokines5. density of monocytes/macrophages6. density of foam cells and independent variables1. distance from the inner arterial wall2. timeThe focus of this book is a discussion of the methodology for placing the model on modest computers for study of the numerical solutions. The foam cell density as a function of the bloodstream LDL and HDL concentrations is of particular interest as a precursor for arterial plaque formation and stiffening.The numerical algorithm for the solution of the model PDEs is the method of lines (MOL), a general procedure for the computer-based numerical solution of PDEs. The MOL coding (programming) is in R, a quality, open-source scientific computing system that is readily available from the Internet. The R routines for the PDE model are discussed in detail, and are available from a download link so that the reader/analyst/researcher can execute the model to duplicate the solutions reported in the book, then experiment with the model, for example, by changing the parameters (constants) and extending the model with additional equations.
Автор: Konstantin Avrachenkov, Maximilien Dreveton Название: Statistical Analysis of Networks ISBN: 1638280509 ISBN-13(EAN): 9781638280507 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 124740.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Offers a general introduction to the statistical analysis of networks, and can serve both as a research monograph and as a textbook. Numerous fundamental tools and concepts needed for the analysis of networks are presented, such as network modeling, community detection, graph-based semi-supervised learning and sampling in networks.
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