Mathematical Analysis Tools For Engineering
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Mathematical Analysis Tools For Engineering
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Author : Franco Tomarelli
language : en
Publisher:
Release Date : 2024
Mathematical Analysis Tools For Engineering written by Franco Tomarelli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematics categories.
Mathematical Analysis For Engineers
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Author : Bernard Dacorogna
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-06-18
Mathematical Analysis For Engineers written by Bernard Dacorogna 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 2012-06-18 with Mathematics categories.
This book follows an advanced course in analysis (vector analysis, complex analysis and Fourier analysis) for engineering students, but can also be useful, as a complement to a more theoretical course, to mathematics and physics students. The first three parts of the book represent the theoretical aspect and are independent of each other. The fourth part gives detailed solutions to all exercises that are proposed in the first three parts. Foreword Foreword (71 KB) Sample Chapter(s) Chapter 1: Differential Operators of Mathematical Physics (272 KB) Chapter 9: Holomorphic functions and Cauchy–Riemann equations (248 KB) Chapter 14: Fourier series (281 KB) Request Inspection Copy Contents: Vector Analysis:Differential Operators of Mathematical PhysicsLine IntegralsGradient Vector FieldsGreen TheoremSurface IntegralsDivergence TheoremStokes TheoremAppendixComplex Analysis:Holomorphic Functions and Cauchy–Riemann EquationsComplex IntegrationLaurent SeriesResidue Theorem and ApplicationsConformal MappingFourier Analysis:Fourier SeriesFourier TransformLaplace TransformApplications to Ordinary Differential EquationsApplications to Partial Differential EquationsSolutions to the Exercises:Differential Operators of Mathematical PhysicsLine IntegralsGradient Vector FieldsGreen TheoremSurface IntegralsDivergence TheoremStokes TheoremHolomorphic Functions and Cauchy–Riemann EquationsComplex IntegrationLaurent SeriesResidue Theorem and ApplicationsConformal MappingFourier SeriesFourier TransformLaplace TransformApplications to Ordinary Differential EquationsApplications to Partial Differential Equations Readership: Undergraduate students in analysis & differential equations, complex analysis, civil, electrical and mechanical engineering.
Mathematical Analysis In Engineering
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Author : Chiang C. Mei
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-13
Mathematical Analysis In Engineering written by Chiang C. Mei 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 1997-01-13 with Mathematics categories.
A paperback edition of successful and well reviewed 1995 graduate text on applied mathematics for engineers.
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.
Functions Spaces And Expansions
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Author : Ole Christensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-27
Functions Spaces And Expansions written by Ole Christensen 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 2010-05-27 with Mathematics categories.
This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.
Mathematical Techniques For Engineers And Scientists
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Author : Larry C. Andrews
language : en
Publisher: SPIE Press
Release Date : 2003
Mathematical Techniques For Engineers And Scientists written by Larry C. Andrews and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
"This self-study text for practicing engineers and scientists explains the mathematical tools that are required for advanced technological applications, but are often not covered in undergraduate school. The authors (University of Central Florida) describe special functions, matrix methods, vector operations, the transformation laws of tensors, the analytic functions of a complex variable, integral transforms, partial differential equations, probability theory, and random processes. The book could also serve as a supplemental graduate text."--Memento.
Advanced Mathematics For Engineering Students
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Author : Brent J. Lewis
language : en
Publisher: Butterworth-Heinemann
Release Date : 2021-05-20
Advanced Mathematics For Engineering Students written by Brent J. Lewis and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-20 with Mathematics categories.
Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author's university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a "toolbox for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical). - Delivers a focused and concise treatment on the underlying theory and direct application of mathematical methods so that the reader has a collection of important mathematical tools that are easily understood and ready for application as a practicing engineer - The book material has been derived from class-tested courses presented over many years in applied mathematics for engineering students (all problem sets and exam questions given for the course(s) are included along with a solution manual) - Provides fundamental theory for applied mathematics while also introducing the application of commercial software packages as modern tools for engineering application, including: EXCEL (statistical analysis); MAPLE (symbolic and numeric computing environment); and COMSOL (finite element solver for ordinary and partial differential equations)
Analysis For Computer Scientists
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Author : Michael Oberguggenberger
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-19
Analysis For Computer Scientists written by Michael Oberguggenberger 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 2011-03-19 with Computers categories.
This textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. Fully integrating mathematical software into the text as an important component of analysis, the book makes thorough use of examples and explanations using MATLAB, Maple, and Java applets. Mathematical theory is described alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises, and an extensive use of figure illustrations. Features: thoroughly describes the essential concepts of analysis; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text; supplementary software can be downloaded from the book’s webpage.
Harmonic Analysis For Engineers And Applied Scientists
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Author : Gregory S. Chirikjian
language : en
Publisher: Courier Dover Publications
Release Date : 2016-07-20
Harmonic Analysis For Engineers And Applied Scientists written by Gregory S. Chirikjian and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-20 with Mathematics categories.
Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.
Mathematical Tools For Changing Scale In The Analysis Of Physical Systems
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Author : William G. Gray
language : en
Publisher: CRC Press
Release Date : 2020-01-29
Mathematical Tools For Changing Scale In The Analysis Of Physical Systems written by William G. Gray and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-29 with Mathematics categories.
Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems. It defines vectors, tensors, and differential operators in arbitrary orthogonal coordinate systems without resorting to conceptually difficult Riemmann-Christoffel tensor and contravariant and covariant base vectors. It reveals the usefulness of generalized functions for indicating curvilineal, surficial, or spatial regions of integration and for transforming among these integration regions. These powerful mathematical tools are harnessed to provide 128 theorems in tabular format (most not previously available in the literature) that transform time-derivative and del operators of a function at one scale to the corresponding operators acting on the function at a larger scale. Mathematical Tools for Changing Scale in the Analysis of Physical Systems also provides sample applications of the theorems to obtain continuum balance relations for arbitrary surfaces, multiphase systems, and problems of reduced dimensionality. The mathematical techniques and tabulated theorems ensure the book will be an invaluable analysis tool for practitioners and researchers studying balance equations for systems encountered in the fields of hydraulics, hydrology, porous media physics, structural analysis, chemical transport, heat transfer, and continuum mechanics.