Mathematical Methods In Engineering And Applied Sciences
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Mathematical Methods In Engineering And Applied Sciences
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Author : Taylor & Francis Group
language : en
Publisher: CRC Press
Release Date : 2021-09-30
Mathematical Methods In Engineering And Applied Sciences written by Taylor & Francis Group and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-30 with categories.
This book covers tools and techniques used for developing mathematical methods and modelling related to real-life situations. It brings forward significant aspects of mathematical research by using different mathematical methods such as analytical, computational, and numerical with relevance or applications in engineering and applied sciences.
Engineering Analysis
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Author : Merle C. Potter
language : en
Publisher:
Release Date : 2019
Engineering Analysis written by Merle C. Potter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematical analysis categories.
The purpose of this book is to introduce undergraduate students of engineering and the physical sciences to applied mathematics often essential to the successful solutions of practical problems. The topics selected are a review of Differential Equations, Laplace Transforms, Matrices and Determinants, Vector Analysis, Partial Differential Equations, Complex Variables, and Numerical Methods. The style of presentation is such that the step-by-step derivations may be followed by the reader with minimum assistance. Liberal use of approximately 160 examples and 1000 homework problems serves to aid students in their study. This book presents mathematical topics using derivations (similar to the technique used in engineering textbooks) rather than theorems and proofs typically found in textbooks written by mathematicians. Engineering Analysis is uniquely qualified to help apply mathematics to physical applications (spring-mass systems, electrical circuits, conduction, diffusion, etc.), in a manner as efficient and understandable as possible. This book was written to provide for an additional mathematics course after differential equations, to permit several topics to be introduced in one semester, and to make the material comprehensible to undergraduates. The book comes with an Instructor Solutions Manual, available on request, that provides solutions to all problems and also a Student Solutions Manual that provides solutions to select problems (the answers to which are given at the back of the book).
Mathematical Methods In Science And Engineering
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Author : Selcuk S. Bayin
language : en
Publisher: John Wiley & Sons
Release Date : 2018-02-26
Mathematical Methods In Science And Engineering written by Selcuk S. Bayin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-26 with Education categories.
A Practical, Interdisciplinary Guide to Advanced Mathematical Methods for Scientists and Engineers Mathematical Methods in Science and Engineering, Second Edition, provides students and scientists with a detailed mathematical reference for advanced analysis and computational methodologies. Making complex tools accessible, this invaluable resource is designed for both the classroom and the practitioners; the modular format allows flexibility of coverage, while the text itself is formatted to provide essential information without detailed study. Highly practical discussion focuses on the “how-to” aspect of each topic presented, yet provides enough theory to reinforce central processes and mechanisms. Recent growing interest in interdisciplinary studies has brought scientists together from physics, chemistry, biology, economy, and finance to expand advanced mathematical methods beyond theoretical physics. This book is written with this multi-disciplinary group in mind, emphasizing practical solutions for diverse applications and the development of a new interdisciplinary science. Revised and expanded for increased utility, this new Second Edition: Includes over 60 new sections and subsections more useful to a multidisciplinary audience Contains new examples, new figures, new problems, and more fluid arguments Presents a detailed discussion on the most frequently encountered special functions in science and engineering Provides a systematic treatment of special functions in terms of the Sturm-Liouville theory Approaches second-order differential equations of physics and engineering from the factorization perspective Includes extensive discussion of coordinate transformations and tensors, complex analysis, fractional calculus, integral transforms, Green's functions, path integrals, and more Extensively reworked to provide increased utility to a broader audience, this book provides a self-contained three-semester course for curriculum, self-study, or reference. As more scientific disciplines begin to lean more heavily on advanced mathematical analysis, this resource will prove to be an invaluable addition to any bookshelf.
Mathematical Methods In Engineering And Applied Sciences
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Author : Hemen Dutta
language : en
Publisher: CRC Press
Release Date : 2020-01-03
Mathematical Methods In Engineering And Applied Sciences written by Hemen Dutta and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-03 with Technology & Engineering categories.
This book covers tools and techniques used for developing mathematical methods and modelling related to real-life situations. It brings forward significant aspects of mathematical research by using different mathematical methods such as analytical, computational, and numerical with relevance or applications in engineering and applied sciences. Presents theory, methods, and applications in a balanced manner Includes the basic developments with full details Contains the most recent advances and offers enough references for further study Written in a self-contained style and provides proof of necessary results Offers research problems to help early career researchers prepare research proposals Mathematical Methods in Engineering and Applied Sciences makes available for the audience, several relevant topics in one place necessary for crucial understanding of research problems of an applied nature. This should attract the attention of general readers, mathematicians, and engineers interested in new tools and techniques required for developing more accurate mathematical methods and modelling corresponding to real-life situations.
Mathematical Methods In Engineering
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Author : Joseph M. Powers
language : en
Publisher: Cambridge University Press
Release Date : 2015-01-26
Mathematical Methods In Engineering written by Joseph M. Powers 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 2015-01-26 with Mathematics categories.
Designed for engineering graduate students, this book connects basic mathematics to a variety of methods used in engineering problems.
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.
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
Modern Mathematical Methods For Scientists And Engineers
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Author : A. S. Fokas
language : en
Publisher: World Scientific Publishing Europe Limited
Release Date : 2023
Modern Mathematical Methods For Scientists And Engineers written by A. S. Fokas and has been published by World Scientific Publishing Europe Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Mathematical analysis categories.
"Partial differential equations (PDEs) are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics and ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge. This book's authors introduce a novel method, the unified transform, which greatly facilitates this challenge. Two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, this book introduces a generalization of the d'Alembert solution, which is valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, it offers a new solution of this problem, which has important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples. Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There are also "Application" sections at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of put and call options in financial markets. In addition to the unified transform, the book presents several modern important and computationally efficient topics, including feed-forward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods. Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering"--
Mathematical Methods In Applied Sciences
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Author : Luigi Rodino
language : en
Publisher:
Release Date : 2020
Mathematical Methods In Applied Sciences written by Luigi Rodino and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
This book includes the seven papers that contributed to the Special Issue of Mathematics entitled “Mathematical Methods in Applied Sciences”. The papers are authored by eminent specialists and aim at presenting to a broad audience some mathematical models which appear in different aspects of modern life. New results in Computational Mathematics are given as well. Emphasis is on Medicine and Public Health, in relation also with Social Sciences. The models in this collection apply in particular to the study of brain cells during a stroke, training management efficiency for elite athletes, and optimal surgical operation scheduling. Other models concern Industry and Economy, as well as Biology and Chemistry. Numerical Methods are represented in particular by scattered data interpolation, spectral collocation, and the use of eigenvalues and eigenvectors of the Laplacian matrix. This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Numerical Analysis, and will be of interest for scholars in Applied Sciences, particularly in Medicine and Public Health.
Mathematical Methods In Science And Engineering
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Author : S. Selcuk Bayin
language : en
Publisher:
Release Date : 2011-02-01
Mathematical Methods In Science And Engineering written by S. Selcuk Bayin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-01 with categories.
Market_Desc: As a text for courses on mathematical methods in the graduate and advanced undergraduate physics program; as a text for advanced undergraduate and graduate students in engineering and applied mathematics; as a reference for scientists and beginning researchers; university and corporate libraries. Special Features: · Provides three unique chapters on the subjects of factorization, fractional calculus, and path integrals. These topics are not covered in the competition.· Provides comprehensive chapters on coordinates and tensors and on continuous groups and their representatives. These topics are covered in much more depth in this book than in the competition.· Written in a modular structure so that each chapter is a review of its subject and could be read independently. This approach makes the book useful as a reference or refresher for scientists.· Presents a coherent treatment of carefully selected topics in a style that makes advanced mathematical tools accessible to a multidisciplinary audience· Emphasizes physical motivation and the multidisciplinary nature of the methods discussed· Includes exercises at the end of every chapter and plentiful examples About The Book: This book successfully fills a gap in the existing literature on mathematical methods. There are a growing number of research areas in applied sciences like earthquakes, rupture, financial markets, and crashes that employ the techniques of fractional calculus and path integrals. The book's two unique chapters on these subjects, written in a style that makes these advanced techniques accessible to a multidisciplinary audience, are an indispensable tool for beginning researchers and instructors who want to add something new to their compulsory courses. Readers are expected to be familiar with the topics generally covered in the first three years of the science and engineering undergraduate programs. The book contains enough material for a three-semester course. However, the modular structure of the book gives instructors enough flexibility to adopt the book for several different advanced undergraduate and graduate level courses. The book has been classroom tested on over more than 1000 students during the past 20 years.