Advanced Mathematical Methods

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Advanced Mathematical Methods For Scientists And Engineers I
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Author : Carl M. Bender
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-10-29
Advanced Mathematical Methods For Scientists And Engineers I written by Carl M. Bender and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-29 with Mathematics categories.
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
Advanced Mathematical Methods In Science And Engineering
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Author : S.I. Hayek
language : en
Publisher: CRC Press
Release Date : 2010-06-22
Advanced Mathematical Methods In Science And Engineering written by S.I. Hayek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-22 with Mathematics categories.
Classroom-tested, Advanced Mathematical Methods in Science and Engineering, Second Edition presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of t
Advanced Mathematical Methods For Engineering And Science Students
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Author : G. Stephenson
language : en
Publisher: Cambridge University Press
Release Date : 1990-04-12
Advanced Mathematical Methods For Engineering And Science Students written by G. Stephenson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-12 with Mathematics categories.
A solid foundation for a number of topics of interest to science and engineering students is provided in this self- contained text that assumes only a basic understanding of related mathematics.
Advanced Mathematical Methods With Maple
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Author : Derek Richards
language : en
Publisher: Cambridge University Press
Release Date : 2002
Advanced Mathematical Methods With Maple written by Derek Richards and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
A user-friendly student guide to computer-assisted algebra with mathematical software packages such as Maple.
Advanced Mathematical Methods In Science And Engineering
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Author : Sabih I. Hayek
language : en
Publisher:
Release Date : 2011
Advanced Mathematical Methods In Science And Engineering written by Sabih I. Hayek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Electronic book categories.
Advanced Mathematical Methods
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Author : Adam Ostaszewski
language : en
Publisher: Cambridge University Press
Release Date : 1990
Advanced Mathematical Methods written by Adam Ostaszewski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
This text is a self-contained second course on mathematical methods dealing with topics in linear algebra and multivariate calculus that can be applied to statistics.
Advanced Mathematical Methods For Finance
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Author :
language : en
Publisher:
Release Date : 2011
Advanced Mathematical Methods For Finance written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Business mathematics categories.
"The title of this volume 'Advanced Mathematical Methods for Finance, ' AMaMeF for short, originates from the European network of the European Science Foundation with the same name that started its activity in 2005. The goals of its program have been the development and the use of advanced mathematical tools for finance, from theory to practice. This book was born in the same spirit of the program. It presents innovations in the mathematical methods in various research areas representing the broad spectrum of AMaMeF itself. It covers the mathematical foundations of financial analysis, numerical methods, and the modeling of risk. The topics selected include measures of risk, credit contagion, insider trading, information in finance, stochastic control and its applications to portfolio choices and liquidation, models of liquidity, pricing, and hedging. The models presented are based on the use of Brownian motion, Lévy processes and jump diffusions. Moreover, fractional Brownian motion and ambit processes are also introduced at various levels. The chosen blending of topics gives a large view of the up-to-date frontiers of the mathematics for finance. This volume represents the joint work of European experts in the various fields and linked to the program AMaMeF."--Preface.
Advanced Mathematical Methods
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Author : Francesco Mainardi
language : en
Publisher: MDPI
Release Date : 2020-02-05
Advanced Mathematical Methods written by Francesco Mainardi and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-05 with Mathematics categories.
The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.
Advanced Mathematical Methods For Finance
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Author : Julia Di Nunno
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-29
Advanced Mathematical Methods For Finance written by Julia Di Nunno and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-29 with Mathematics categories.
This book presents innovations in the mathematical foundations of financial analysis and numerical methods for finance and applications to the modeling of risk. The topics selected include measures of risk, credit contagion, insider trading, information in finance, stochastic control and its applications to portfolio choices and liquidation, models of liquidity, pricing, and hedging. The models presented are based on the use of Brownian motion, Lévy processes and jump diffusions. Moreover, fractional Brownian motion and ambit processes are also introduced at various levels. The chosen blend of topics gives an overview of the frontiers of mathematics for finance. New results, new methods and new models are all introduced in different forms according to the subject. Additionally, the existing literature on the topic is reviewed. The diversity of the topics makes the book suitable for graduate students, researchers and practitioners in the areas of financial modeling and quantitative finance. The chapters will also be of interest to experts in the financial market interested in new methods and products. This volume presents the results of the European ESF research networking program Advanced Mathematical Methods for Finance.
Lectures On Advanced Mathematical Methods For Physicists
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Author : N Mukunda
language : en
Publisher: World Scientific
Release Date : 2010-04-27
Lectures On Advanced Mathematical Methods For Physicists written by N Mukunda and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-27 with Science categories.
This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics (including string theory), while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics.Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and de Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles.Part II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups.The style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists.