Mathematical Methods For The Natural And Engineering Sciences Second Edition

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Mathematical Methods For The Natural And Engineering Sciences Second Edition

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Author : Ronald E. Mickens
language : en
Publisher:
Release Date : 2016

Mathematical Methods For The Natural And Engineering Sciences Second Edition written by Ronald E. Mickens and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.

Mathematical Methods For The Natural And Engineering Sciences Second Edition

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Author : Ronald E Mickens
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-12-29

Mathematical Methods For The Natural And Engineering Sciences Second Edition written by Ronald E Mickens and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-29 with Mathematics categories.

This second edition provides a broad range of methods and concepts required for the analysis and solution of equations which arise in the modeling of phenomena in the natural, engineering, and applied mathematical sciences. It may be used productively by both undergraduate and graduate students, as well as others who wish to learn, understand, and apply these techniques. Detailed discussions are also given for several topics that are not usually included in standard textbooks at this level of presentation: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations and several perturbation procedures. Further, this second edition includes several new topics covering functional equations, the Lambert-W function, nonstandard sets of periodic functions, and the method of dominant balance. Each chapter contains a large number of worked examples and provides references to the appropriate books and literature.

Mathematical Methods For The Natural And Engineering Sciences

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Author : Ronald E Mickens
language : en
Publisher: World Scientific Publishing Company
Release Date : 2004-04-13

Mathematical Methods For The Natural And Engineering Sciences written by Ronald E Mickens and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-13 with Science categories.

This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.

Mathematical Methods For The Natural And Engineering Sciences

DOWNLOAD
Author : Ronald E. Mickens
language : en
Publisher: World Scientific
Release Date : 2004

Mathematical Methods For The Natural And Engineering Sciences written by Ronald E. Mickens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Technology & Engineering categories.

This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.

Mathematical Modelling With Differential Equations

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Author : Ronald E. Mickens
language : en
Publisher: CRC Press
Release Date : 2022-05-23

Mathematical Modelling With Differential Equations written by Ronald E. Mickens and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-23 with Mathematics categories.

Mathematical Modelling with Differential Equations aims to introduce various strategies for modelling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modelled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas—Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems. Features Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modelling. Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modelling using differential equations. Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modelling.

Road Vehicle Dynamics Fundamentals Of Modeling And Simulation

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Author : Giancarlo Genta
language : en
Publisher: World Scientific
Release Date : 2016-12-28

Road Vehicle Dynamics Fundamentals Of Modeling And Simulation written by Giancarlo Genta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-28 with Technology & Engineering categories.

Road Vehicle Dynamics supplies students and technicians working in industry with both the theoretical background of mechanical and automotive engineering, and the know-how needed to perform numerical simulations. Bringing together the foundations of the discipline and its recent developments in a single text, the book is structured in three parts: it begins with a historical overview of road vehicles; then deals with the forces exchanged between the vehicle and the road, and the vehicle and the air; and finally, deals with the dynamic behavior of the vehicle in normal driving conditions with some extensions towards conditions encountered in high-speed racing. Coverage of contemporary automatic controls is included in this edition.

Generalized Trigonometric And Hyperbolic Functions

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Author : Ronald E. Mickens
language : en
Publisher: CRC Press
Release Date : 2019-01-15

Generalized Trigonometric And Hyperbolic Functions written by Ronald E. Mickens and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-15 with Mathematics categories.

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for the inverse generalized sine functions, followed by the construction of the associated cosine functions, and from this, various properties of the generalized trigonometric functions are derived. However, the results contained in this book are based on the application of both geometrical phase space and dynamical systems methodologies. Features Clear, direct construction of a new set of generalized trigonometric and hyperbolic functions Presentation of why x2+y2 = 1, and related expressions, may be interpreted in three distinct ways All the constructions, proofs, and derivations can be readily followed and understood by students, researchers, and professionals in the natural and mathematical sciences

Introduction To Qualitative Methods For Differential Equations

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Author : Ronald E. Mickens
language : en
Publisher: CRC Press
Release Date : 2025-05-01

Introduction To Qualitative Methods For Differential Equations written by Ronald E. Mickens and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-01 with Mathematics categories.

Introduction to Qualitative Methods for Differential Equations provides an alternative approach to teaching and understanding differential equations. The basic methodology of the book is centred on finding reformulations of differential equations in such a manner that they become (partially, at least) problems in geometry. Through this approach, the book distils the critical aspects of the qualitative theory of differential equations and illustrates their application to a number of nontrivial problems. Features Self-contained with suggestions for further reading Concise and approachable exposition with only minimal pre-requisites Ideal for self-study Appropriate for undergraduate mathematicians, engineers, and other quantitative science students.

Mathematical Modelling Selected Objects And Processes

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Author : Anatoliy A Martynyuk
language : en
Publisher: World Scientific
Release Date : 2025-04-11

Mathematical Modelling Selected Objects And Processes written by Anatoliy A Martynyuk and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-11 with Mathematics categories.

This is the first book on the problems of mathematical modelling that combines a generalised approach to the problem of mathematical modelling processes and phenomena in the real world with developing modelling methods in relation to specific objects and processes. Some of the problems discussed here include the stability and bifurcation of simplified models of supply and demand, and resultants of various approaches, such as standardisation, unification, partial ordering and data packaging.As well as touching upon the general principles of modelling, the book studies the stability of mathematical models using the generalised direct Lyapunov method based on matrix-valued auxiliary functions. It has significant potential for application in the design of new moving objects (nano-robots, manipulators, drones, etc.) and processes related to artificial intelligence (multidimensional interaction of related data arrays) that can be described by differential equations of different types.Written by two respected specialists in the field of the qualitative theory of equations and problems of modelling real-world phenomena, this book is primarily targeted at specialists in the field of engineering sciences, but is also suitable for graduate courses.

Advanced Mathematical And Computational Tools In Metrology And Testing Xii

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Author : Franco Pavese
language : en
Publisher: World Scientific
Release Date : 2022-01-13

Advanced Mathematical And Computational Tools In Metrology And Testing Xii written by Franco Pavese and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Mathematics categories.

This volume contains original, refereed contributions by researchers from national metrology institutes, universities and laboratories across the world involved in metrology and testing. The volume has been produced by the International Measurement Confederation Technical Committee 21, Mathematical Tools for Measurements and is the twelfth in the series. The papers cover topics in numerical analysis and computational tools, statistical inference, regression, calibration and metrological traceability, computer science and data provenance, and describe applications in a wide range of application domains. This volume is useful to all researchers, engineers and practitioners who need to characterize the capabilities of measurement systems and evaluate measurement data. It will also be of interest to scientists and engineers concerned with the reliability, trustworthiness and reproducibility of data and data analytics in data-driven systems in engineering, environmental and life sciences.