Mathematical Analysis For Engineers

Author : Bernard Dacorogna,Chiara Tanteri
Publisher : World Scientific Publishing Company
Page : 370 pages
File Size : 44,7 Mb
Release : 2012-06-18
Category : Mathematics
ISBN : 9781848169234

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Mathematical Analysis for Engineers by Bernard Dacorogna,Chiara Tanteri Pdf

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.

Author : Chiang C. Mei
Publisher : Cambridge University Press
Page : 484 pages
File Size : 44,7 Mb
Release : 1997-01-13
Category : Mathematics
ISBN : 0521587980

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Mathematical Analysis in Engineering by Chiang C. Mei Pdf

A paperback edition of successful and well reviewed 1995 graduate text on applied mathematics for engineers.

Author : Anthony N. Michel,Charles J. Herget
Publisher : Springer Science & Business Media
Page : 500 pages
File Size : 54,9 Mb
Release : 2009-12-24
Category : Mathematics
ISBN : 9780817647070

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Algebra and Analysis for Engineers and Scientists by Anthony N. Michel,Charles J. Herget Pdf

Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to familiarize engineering and science students with a great deal of pertinent and applicable mathematics in a rapid and efficient manner without sacrificing rigor. The book is divided into three parts: set theory, algebra, and analysis. It offers a generous number of exercises integrated into the text and features applications of algebra and analysis that have a broad appeal.

Author : Kwong-Tin Tang
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 54,5 Mb
Release : 2006-11-30
Category : Science
ISBN : 9783540302681

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Mathematical Methods for Engineers and Scientists 2 by Kwong-Tin Tang Pdf

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Author : Gregory S. Chirikjian,Alexander B. Kyatkin
Publisher : Courier Dover Publications
Page : 881 pages
File Size : 43,5 Mb
Release : 2016-07-20
Category : Mathematics
ISBN : 9780486795645

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Harmonic Analysis for Engineers and Applied Scientists by Gregory S. Chirikjian,Alexander B. Kyatkin Pdf

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.

Author : A. F. Bermant
Publisher : Unknown
Page : 0 pages
File Size : 51,8 Mb
Release : 1979
Category : Electronic
ISBN : OCLC:1310865706

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Mathematical Analysis by A. F. Bermant Pdf

Author : Filippo Gazzola,Maurizio Zanotti,Alberto Ferrero
Publisher : Società Editrice Esculapio
Page : 329 pages
File Size : 41,9 Mb
Release : 2013-09-23
Category : Mathematics
ISBN : 9788874886456

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Elements of Advanced Mathematical Analysis for Physics and Engineering by Filippo Gazzola,Maurizio Zanotti,Alberto Ferrero Pdf

Deep comprehension of applied sciences requires a solid knowledge of Mathematical Analysis. For most of high level scientific research, the good understanding of Functional Analysis and weak solutions to differential equations is essential. This book aims to deal with the main topics that are necessary to achieve such a knowledge. Still, this is the goal of many other texts in advanced analysis; and then, what would be a good reason to read or to consult this book? In order to answer this question, let us introduce the three Authors. Alberto Ferrero got his degree in Mathematics in 2000 and presently he is researcher in Mathematical Analysis at the Universit`a del Piemonte Orientale. Filippo Gazzola got his degree in Mathematics in 1987 and he is now full professor in Mathematical Analysis at the Politecnico di Milano. Maurizio Zanotti got his degree in Mechanical Engineering in 2004 and presently he is structural and machine designer and lecturer professor in Mathematical Analysis at the Politecnico di Milano. The three Authors, for the variety of their skills, decided to join their expertises to write this book. One of the reasons that should encourage its reading is that the presentation turns out to be a reasonable compromise among the essential mathematical rigor, the importance of the applications and the clearness, which is necessary to make the reference work pleasant to the readers, even to the inexperienced ones. The range of treated topics is quite wide and covers the main basic notions of the scientific research which is based upon mathematical models. We start from vector spaces and Lebesgue integral to reach the frontier of theoretical research such as the study of critical exponents for semilinear elliptic equations and recent problems in fluid dynamics. This long route passes through the theory of Banach and Hilbert spaces, Sobolev spaces, differential equations, Fourier and Laplace transforms, before which we recall some appropriate tools of Complex Analysis. We give all the proofs that have some didactic or applicative interest, while we omit the ones which are too technical or require too high level knowledge. This book has the ambitious purpose to be useful to a broad variety of readers. The first possible beneficiaries are of course the second or third year students of a scientific course of degree: in what follows they will find the topics that are necessary to approach more advanced studies in Mathematics and in other fields, especially Physics and Engineering. This text could be also useful to graduate students who want to start a Ph.D. course: indeed it contains the matter of a multidisciplinary Ph.D. course given by Filippo Gazzola for several years at Politecnico di Milano. Finally, this book could be addressed also to the ones who have already left education far-back but occasionally need to use mathematical tools: we refer both to university professors and their research, and to professionals and designers who want to model a certain phenomenon, but also to the nostalgics of the good old days when they were students. It is precisely for this last type of reader that we have also reported some elementary topics, such as the properties of numerical sets and of the integrals; moreover, every chapter is provided with examples and specific exercises aimed at the involvement of the reader. Let us start immediately inviting the reader to find an “anomaly” among the six formulas appearing in the cover. This book is the translation from Italian of the book ”Elementi di Analisi Superiore per la Fisica e l’Ingegneria”. The translation is due to Ilaria Lucardesi.

Author : Michael Field
Publisher : Springer
Page : 450 pages
File Size : 45,8 Mb
Release : 2017-11-06
Category : Mathematics
ISBN : 9783319675466

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Essential Real Analysis by Michael Field Pdf

This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses. Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely found in such detail in an undergraduate textbook such as the construction of non-analytic smooth functions, applications of the Euler-Maclaurin formula to estimates, and fractal geometry. Drawing on the author’s extensive teaching and research experience, the exposition is guided by carefully chosen examples and counter-examples, with the emphasis placed on the key ideas underlying the theory. Much of the content is informed by its applicability: Fourier analysis is developed to the point where it can be rigorously applied to partial differential equations or computation, and the theory of metric spaces includes applications to ordinary differential equations and fractals. Essential Real Analysis will appeal to students in pure and applied mathematics, as well as scientists looking to acquire a firm footing in mathematical analysis. Numerous exercises of varying difficulty, including some suitable for group work or class discussion, make this book suitable for self-study as well as lecture courses.

Author : Volker Simon,Bernhard Weigand,Hassan Gomaa
Publisher : Springer
Page : 134 pages
File Size : 41,7 Mb
Release : 2017-02-09
Category : Technology & Engineering
ISBN : 9783319520285

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Dimensional Analysis for Engineers by Volker Simon,Bernhard Weigand,Hassan Gomaa Pdf

This monograph provides the fundamentals of dimensional analysis and illustrates the method by numerous examples for a wide spectrum of applications in engineering. The book covers thoroughly the fundamental definitions and the Buckingham theorem, as well as the choice of the system of basic units. The authors also include a presentation of model theory and similarity solutions. The target audience primarily comprises researchers and practitioners but the book may also be suitable as a textbook at university level.

Author : Vladimir A. Zorich
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 50,5 Mb
Release : 2004-01-22
Category : Mathematics
ISBN : 3540403868

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Mathematical Analysis I by Vladimir A. Zorich Pdf

This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.

Author : Ole Christensen
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 49,8 Mb
Release : 2010-05-27
Category : Mathematics
ISBN : 9780817649807

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Functions, Spaces, and Expansions by Ole Christensen Pdf

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.

Author : G. Miller
Publisher : Cambridge University Press
Page : 583 pages
File Size : 52,9 Mb
Release : 2014-05-29
Category : Mathematics
ISBN : 9781107021082

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Numerical Analysis for Engineers and Scientists by G. Miller Pdf

A graduate-level introduction balancing theory and application, providing full coverage of classical methods with many practical examples and demonstration programs.

Author : Mihail L. Krasnov
Publisher : Unknown
Page : 1294 pages
File Size : 45,8 Mb
Release : 1990
Category : Electronic
ISBN : OCLC:797748784

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Mathematical Analysis for Engineers by Mihail L. Krasnov Pdf

Author : Vladimir A. Zorich
Publisher : Krishna Prakashan Media
Page : 792 pages
File Size : 45,7 Mb
Release : 2010-11-16
Category : Mathematics
ISBN : 8210379456XXX

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Mathematical Analysis II by Vladimir A. Zorich Pdf

The second volume expounds classical analysis as it is today, as a part of unified mathematics, and its interactions with modern mathematical courses such as algebra, differential geometry, differential equations, complex and functional analysis. The book provides a firm foundation for advanced work in any of these directions.

Author : Mangey Ram,J. Paulo Davim
Publisher : Academic Press
Page : 226 pages
File Size : 54,8 Mb
Release : 2017-05-22
Category : Mathematics
ISBN : 9780128104361

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Mathematics Applied to Engineering by Mangey Ram,J. Paulo Davim Pdf

Mathematics Applied in Engineering presents a wide array of applied mathematical techniques for an equally wide range of engineering applications, covering areas such as acoustics, system engineering, optimization, mechanical engineering, and reliability engineering. Mathematics acts as a foundation for new advances, as engineering evolves and develops. This book will be of great interest to postgraduate and senior undergraduate students, and researchers, in engineering and mathematics, as well as to engineers, policy makers, and scientists involved in the application of mathematics in engineering. Covers many mathematical techniques for robotics, computer science, mechanical engineering, HCI and machinability Describes different algorithms Explains different modeling techniques and simulations