Описание: Presents the basics of functional analysis, as well as elements of variational equations (on the basis of bi-linear forms), including the Vishik-Lax-Milgram theorem and of generalized solutions of eliptic problems. Sobolev spaces and embedding theorems are introduced.
Автор: Yang Xin-She Название: Introduction To Computational Mathematics (2Nd Edition) ISBN: 9814635774 ISBN-13(EAN): 9789814635776 Издательство: World Scientific Publishing Рейтинг: Цена: 14256.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.
Описание: This book covers a broad spectrum of results in logic and set theory relevant to the foundations, as well as, the results in computational complexity and the interdisciplinary area of proof complexity. It presents the ideas behind the theoretical concepts.
Автор: V. Capasso; R. Burkard; P. Deuflhard; H.W. Engl; A Название: Computational Mathematics Driven by Industrial Problems ISBN: 3540677828 ISBN-13(EAN): 9783540677826 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These lecture notes survey advances of mathematics driven by industrial application, showing not only how mathematics is applied to industry but also how mathematics has drawn benefit from interaction with real-word problems.
Автор: Srdjan Stojanovic Название: Computational Financial Mathematics using MATHEMATICA® ISBN: 146126586X ISBN-13(EAN): 9781461265863 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Given the explosion of interest in mathematical methods for solving problems in finance and trading, a great deal of research and development is taking place in universities, large brokerage firms, and in the supporting trading software industry. Mathematical advances have been made both analytically and numerically in finding practical solutions.
This book provides a comprehensive overview of existing and original material, about what mathematics when allied with Mathematica can do for finance. Sophisticated theories are presented systematically in a user-friendly style, and a powerful combination of mathematical rigor and Mathematica programming. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte-- Carlo. Nowadays, only good personal computers are required to handle the symbolic and numerical methods that are developed in this book.
Key features: * No previous knowledge of Mathematica programming is required * The symbolic, numeric, data management and graphic capabilities of Mathematica are fully utilized * Monte--Carlo solutions of scalar and multivariable SDEs are developed and utilized heavily in discussing trading issues such as Black--Scholes hedging * Black--Scholes and Dupire PDEs are solved symbolically and numerically * Fast numerical solutions to free boundary problems with details of their Mathematica realizations are provided * Comprehensive study of optimal portfolio diversification, including an original theory of optimal portfolio hedging under non-Log-Normal asset price dynamics is presented
The book is designed for the academic community of instructors and students, and most importantly, will meet the everyday trading needs of quantitatively inclined professional and individual investors.
Описание: This book will help teachers introduce pre-college students to the ideas that develop the foundation of the engineering profession. It presents modeling activities in both technology-enabled and technology-immune approaches.
Описание: This book covers a broad spectrum of results in logic and set theory relevant to the foundations, as well as, the results in computational complexity and the interdisciplinary area of proof complexity. It presents the ideas behind the theoretical concepts.
Описание: This book focuses on the topics which provide the foundation for practicing engineering mathematics: ordinary differential equations, vector calculus, linear algebra and partial differential equations.
Описание: This volume presents original research contributed to the 3rd Annual International Conference on Computational Mathematics and Computational Geometry (CMCGS 2014), organized and administered by Global Science and Technology Forum (GSTF).
Автор: Felipe Cucker; Michael Shub Название: Foundations of Computational Mathematics ISBN: 3540616470 ISBN-13(EAN): 9783540616474 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These articles, corresponding to talks given at the Foundations of Computational Mathematics conference, bring together a variety of subjects in which the computational process itself and the foundational mathematical underpinnings of algorithms are the objects of study.
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