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Methods of Applied Mathematics with a Software Overview, Davis


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Цена: 12577.00р.
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Автор: Davis
Название:  Methods of Applied Mathematics with a Software Overview
ISBN: 9783319433691
Издательство: Springer
Классификация:





ISBN-10: 3319433695
Обложка/Формат: Hardback
Страницы: 781
Вес: 1.34 кг.
Дата издания: 2016
Серия: Applied and Numerical Harmonic Analysis
Язык: English
Издание: 2 rev ed
Иллюстрации: 132 black & white illustrations, 108 colour illustrations, 238 colour tables, biography
Размер: 167 x 246 x 51
Читательская аудитория: Graduate/advanced undergraduate textbook
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of problems in which the presented techniques are useful.Broadly organized around the theme of applied Fourier analysis, the treatment covers classical applications in partial differential equations and boundary value problems, and a substantial number of topics associated with Laplace, Fourier, and discrete transform theories. Some advanced topics are explored in the final chapters such as short-time Fourier analysis and geometrically based transforms applicable to boundary value problems. The topics covered are useful in a variety of applied fields such as continuum mechanics, mathematical physics, control theory, and signal processing.Replete with helpful examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.Key features of the software overview:Now relies solely on the free software tools Octave, Maxima, and Python.Appendix introduces all of these tools at a level suitable to those with some programming experienceProvides references to sources of further learning.Code snippets incorporated throughout the text. All graphics and illustrations generated using these tools.Praise for the first edition:“The author mixed in a remarkable way theoretical results and applications illustrating the results. Flexibility of presentation (increasing and decreasing level of rigor, accessibility) is a key feature...The book contains extensive examples, presented in an intuitive way with high quality figures (some of them quite spectacular)…” – Mathematica “...Daviss book has many novel features being quite different from most other textbooks on applied mathematics.... Mainly it has a clear and consistent exposition with a strong focus on mathematical fundamentals and useful techniques. It has numerous extensive examples, illustrations, comments, and a very modern graphical presentation of results.“…The book has style. Every theorem and mathematical result has a wonderful appealing comment.” – Studies in Informatics and Control
Дополнительное описание: Introduction. Fourier Series.- Elementary Boundary Value Problems.- Strum-Liouville Theory and Boundary Value Problems.- Functions of a Complex Variable.- Laplace Transforms.- Fourier Transforms.- Discrete Variable Transforms.- Additional Topics.- Linear



The Mathematics of Arbitrage

Автор: Delbaen
Название: The Mathematics of Arbitrage
ISBN: 3540219927 ISBN-13(EAN): 9783540219927
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Presents a mathematical treatment of the theory of pricing and hedging of derivative securities by the principle of no arbitrage. This title consists of seven papers, which analyzes the topic in the general framework of semi-martingale theory.

An Invitation to Applied Mathematics with Differential Equations

Автор: Chicone, Carmen
Название: An Invitation to Applied Mathematics with Differential Equations
ISBN: 0128041536 ISBN-13(EAN): 9780128041536
Издательство: Elsevier Science
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Цена: 15999.00 р.
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Описание:

An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics.

Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students.

Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics.

  • Presents an integrated wealth of modeling, analysis, and numerical methods in one volume
  • Provides practical and comprehensible introductions to complex subjects, for example, conservation laws,  CFD, SPH, BEM, and FEM
  • Includes a rich set of applications, with more appealing problems and projects suggested

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