Mathematics In Physics And Engineering

Author : Hiroyuki Shima,Tsuneyoshi Nakayama
Publisher : Springer Science & Business Media
Page : 693 pages
File Size : 54,9 Mb
Release : 2010-04-12
Category : Science
ISBN : 9783540878643

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Higher Mathematics for Physics and Engineering by Hiroyuki Shima,Tsuneyoshi Nakayama Pdf

Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

Author : Edward K. Blum,Sergey V. Lototsky
Publisher : World Scientific
Page : 500 pages
File Size : 53,8 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812566218

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Mathematics of Physics and Engineering by Edward K. Blum,Sergey V. Lototsky Pdf

Aimed at scientists and engineers, this book is an exciting intellectual journey through the mathematical worlds of Euclid, Newton, Maxwell, Einstein, and Schrodinger-Dirac.While similar books present the required mathematics in a piecemeal manner with tangential references to the relevant physics and engineering, this textbook serves the interdisciplinary needs of engineers, scientists and applied mathematicians by unifying the mathematics and physics into a single systematic body of knowledge but preserving the rigorous logical development of the mathematics.The authors take an unconventional approach by integrating the mathematics with its motivating physical phenomena and, conversely, by showing how the mathematical models predict new physical phenomena.

Author : Andrei D. Polyanin,Alexei Chernoutsan
Publisher : CRC Press
Page : 1080 pages
File Size : 43,7 Mb
Release : 2010-10-18
Category : Mathematics
ISBN : 9781439806401

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A Concise Handbook of Mathematics, Physics, and Engineering Sciences by Andrei D. Polyanin,Alexei Chernoutsan Pdf

A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students

Author : Mohamed Hesham Farouk,Maha Amin Hassanein
Publisher : Springer Nature
Page : 400 pages
File Size : 50,6 Mb
Release : 2020-08-03
Category : Science
ISBN : 9783030398477

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Recent Advances in Engineering Mathematics and Physics by Mohamed Hesham Farouk,Maha Amin Hassanein Pdf

This book gathers the proceedings of the 4th conference on Recent Advances in Engineering Math. & Physics (RAEMP 2019), which took place in Cairo, Egypt in December 2019. This international and interdisciplinary conference highlights essential research and developments in the field of Engineering Mathematics and Physics and related technologies and applications. The proceedings is organized to follow the main tracks of the conference: Advanced computational techniques in engineering and sciences; computational intelligence; photonics; physical measurements and big data analytics; physics and nano-technologies; and optimization and mathematical analysis.

Author : Mattias Blennow
Publisher : CRC Press
Page : 508 pages
File Size : 46,6 Mb
Release : 2018-01-03
Category : Science
ISBN : 9781351676076

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Mathematical Methods for Physics and Engineering by Mattias Blennow Pdf

Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. The entire book is unique in that it draws upon applications from physics, rather than mathematical examples, to ensure students are fully equipped with the tools they need. This approach prepares the reader for advanced topics, such as quantum mechanics and general relativity, while offering examples, problems, and insights into classical physics. The book is also distinctive in the coverage it devotes to modelling, and to oft-neglected topics such as Green's functions.

Author : Alvaro Meseguer
Publisher : John Wiley & Sons
Page : 400 pages
File Size : 55,7 Mb
Release : 2020-06-16
Category : Mathematics
ISBN : 9781119425670

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Fundamentals of Numerical Mathematics for Physicists and Engineers by Alvaro Meseguer Pdf

Introduces the fundamentals of numerical mathematics and illustrates its applications to a wide variety of disciplines in physics and engineering Applying numerical mathematics to solve scientific problems, this book helps readers understand the mathematical and algorithmic elements that lie beneath numerical and computational methodologies in order to determine the suitability of certain techniques for solving a given problem. It also contains examples related to problems arising in classical mechanics, thermodynamics, electricity, and quantum physics. Fundamentals of Numerical Mathematics for Physicists and Engineers is presented in two parts. Part I addresses the root finding of univariate transcendental equations, polynomial interpolation, numerical differentiation, and numerical integration. Part II examines slightly more advanced topics such as introductory numerical linear algebra, parameter dependent systems of nonlinear equations, numerical Fourier analysis, and ordinary differential equations (initial value problems and univariate boundary value problems). Chapters cover: Newton’s method, Lebesgue constants, conditioning, barycentric interpolatory formula, Clenshaw-Curtis quadrature, GMRES matrix-free Krylov linear solvers, homotopy (numerical continuation), differentiation matrices for boundary value problems, Runge-Kutta and linear multistep formulas for initial value problems. Each section concludes with Matlab hands-on computer practicals and problem and exercise sets. This book: Provides a modern perspective of numerical mathematics by introducing top-notch techniques currently used by numerical analysts Contains two parts, each of which has been designed as a one-semester course Includes computational practicals in Matlab (with solutions) at the end of each section for the instructor to monitor the student's progress through potential exams or short projects Contains problem and exercise sets (also with solutions) at the end of each section Fundamentals of Numerical Mathematics for Physicists and Engineers is an excellent book for advanced undergraduate or graduate students in physics, mathematics, or engineering. It will also benefit students in other scientific fields in which numerical methods may be required such as chemistry or biology.

Author : David Yevick,Hannah Yevick
Publisher : John Wiley & Sons
Page : 464 pages
File Size : 42,8 Mb
Release : 2014-11-21
Category : Science
ISBN : 9781118979808

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Fundamental Math and Physics for Scientists and Engineers by David Yevick,Hannah Yevick Pdf

Provides a concise overview of the core undergraduate physics and applied mathematics curriculum for students and practitioners of science and engineering Fundamental Math and Physics for Scientists and Engineers summarizes college and university level physics together with the mathematics frequently encountered in engineering and physics calculations. The presentation provides straightforward, coherent explanations of underlying concepts emphasizing essential formulas, derivations, examples, and computer programs. Content that should be thoroughly mastered and memorized is clearly identified while unnecessary technical details are omitted. Fundamental Math and Physics for Scientists and Engineers is an ideal resource for undergraduate science and engineering students and practitioners, students reviewing for the GRE and graduate-level comprehensive exams, and general readers seeking to improve their comprehension of undergraduate physics. Covers topics frequently encountered in undergraduate physics, in particular those appearing in the Physics GRE subject examination Reviews relevant areas of undergraduate applied mathematics, with an overview chapter on scientific programming Provides simple, concise explanations and illustrations of underlying concepts Succinct yet comprehensive, Fundamental Math and Physics for Scientists and Engineers constitutes a reference for science and engineering students, practitioners and non-practitioners alike.

Author : John W. Dettman
Publisher : Courier Corporation
Page : 450 pages
File Size : 49,9 Mb
Release : 2013-01-23
Category : Science
ISBN : 9780486169361

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Mathematical Methods in Physics and Engineering by John W. Dettman Pdf

Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter. For this second revised edition, Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions. In addition, a new approach to series solutions of ordinary differential equations has made the treatment independent of complex variable theory. This means that the first six chapters can be grasped without prior knowledge of complex variables. However, since Chapter 8 depends heavily on analytic functions of a complex variable, a new Chapter 7 on analytic function theory has been written.

Author : Gregory J. Gbur
Publisher : Cambridge University Press
Page : 819 pages
File Size : 48,8 Mb
Release : 2011-01-06
Category : Science
ISBN : 9781139492690

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Mathematical Methods for Optical Physics and Engineering by Gregory J. Gbur Pdf

The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.

Author : Arthur B. Bronwell
Publisher : Unknown
Page : 508 pages
File Size : 41,5 Mb
Release : 1953
Category : Mathematics
ISBN : UOM:39015078136481

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Advanced Mathematics in Physics and Engineering by Arthur B. Bronwell Pdf

Author : Louis A. Pipes,Lawrence R. Harvill
Publisher : Courier Corporation
Page : 1043 pages
File Size : 55,6 Mb
Release : 2014-06-10
Category : Mathematics
ISBN : 9780486794990

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Applied Mathematics for Engineers and Physicists by Louis A. Pipes,Lawrence R. Harvill Pdf

Suitable for advanced courses in applied mathematics, this text covers analysis of lumped parameter systems, distributed parameter systems, and important areas of applied mathematics. Answers to selected problems. 1970 edition.

Author : Bruce R. Kusse,Erik A. Westwig
Publisher : John Wiley & Sons
Page : 689 pages
File Size : 46,9 Mb
Release : 2010-01-05
Category : Science
ISBN : 9783527618149

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Mathematical Physics by Bruce R. Kusse,Erik A. Westwig Pdf

What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory. This expanded second edition contains a new appendix on the calculus of variation -- a valuable addition to the already superb collection of topics on offer. This is an ideal text for upper-level undergraduates in physics, applied physics, physical chemistry, biophysics, and all areas of engineering. It allows physics professors to prepare students for a wide range of employment in science and engineering and makes an excellent reference for scientists and engineers in industry. Worked out examples appear throughout the book and exercises follow every chapter. Solutions to the odd-numbered exercises are available for lecturers at www.wiley-vch.de/textbooks/.

Author : J. Irving,N. Mullineux
Publisher : Academic Press
Page : 902 pages
File Size : 47,7 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483276175

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Mathematics in Physics and Engineering by J. Irving,N. Mullineux Pdf

Mathematics in Physics and Engineering describes the analytical and numerical (desk-machine) methods that arise in pure and applied science, including wave equations, Bessel and Legendre functions, and matrices. The manuscript first discusses partial differential equations, as well as the method of separation of variables, three-dimensional wave equation, diffusion or heat flow equation, and wave equation in plane and cylindrical polar coordinates. The text also ponders on Frobenius' and other methods of solution. Discussions focus on hypergeometric equation, Bessel's equation, confluent hypergeometric equation, and change of dependent and independent variables. The publication takes a look at Bessel and Legendre functions and Laplace and other transforms, including orthogonal properties, applications from electromagnetism, spherical harmonics, and application to partial differential equations. The book also examines matrices, analytical methods in classical and wave mechanics, calculus of variations, and complex variable theory and conformal transformations. The book is a dependable reference for mathematicians, engineers, and physicists both at undergraduate and postgraduate levels.

Author : Michael Stone,Paul Goldbart
Publisher : Cambridge University Press
Page : 821 pages
File Size : 43,9 Mb
Release : 2009-07-09
Category : Science
ISBN : 9781139480611

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Mathematics for Physics by Michael Stone,Paul Goldbart Pdf

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Author : Ivan Stephen Sokolnikoff,Raymond M. Redheffer
Publisher : Unknown
Page : 752 pages
File Size : 47,8 Mb
Release : 1966
Category : Engineering mathematics
ISBN : 0070857458

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Mathematics of Physics and Modern Engineering by Ivan Stephen Sokolnikoff,Raymond M. Redheffer Pdf