Higher Mathematics For Physics And Engineering
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Higher Mathematics For Physics And Engineering
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Author : Hiroyuki Shima
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-12
Higher Mathematics For Physics And Engineering written by Hiroyuki Shima 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 2010-04-12 with Science categories.
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.
Complements Of Higher Mathematics
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Author : Marin Marin
language : en
Publisher: Springer
Release Date : 2018-02-13
Complements Of Higher Mathematics written by Marin Marin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-13 with Technology & Engineering categories.
This book highlights the remarkable importance of special functions, operational calculus, and variational methods. A considerable portion of the book is dedicated to second-order partial differential equations, as they offer mathematical models of various phenomena in physics and engineering. The book provides students and researchers with essential help on key mathematical topics, which are applied to a range of practical problems. These topics were chosen because, after teaching university courses for many years, the authors have found them to be essential, especially in the contexts of technology, engineering and economics. Given the diversity topics included in the book, the presentation of each is limited to the basic notions and results of the respective mathematical domain. Chapter 1 is devoted to complex functions. Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions of a complex variable plays in mathematical physics, especially in the modeling of plane problems. In addition, the book demonstrates the importance of the theories of special functions, operational calculus, and variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.
Advanced Mathematics For Engineers And Physicists
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Author : Sever Angel Popescu
language : en
Publisher: Springer Nature
Release Date : 2023-01-25
Advanced Mathematics For Engineers And Physicists written by Sever Angel Popescu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-25 with Mathematics categories.
This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated text. Here, one can find different topics, such as differential (first order or higher order) equations, systems of differential equations, Fourier series, Fourier and Laplace transforms, partial differential equations, some basic facts and applications of the calculus of variations and, last but not least, an original and more intuitive introduction to probability theory. All these topics are carefully introduced, with complete proofs, motivations, examples, applications, problems and exercises, which are completely solved at the end of the book. We added a generous supplementary material (11.1) with a self-contained and complete introduction to normed, metric and Hilbert spaces. Since we used some topics from complex function theory, we also introduced in Chapter 11 a section (11.2) with the basic facts in this important field. What a reader needs for a complete understanding of this book? For a deep understanding of this book, it is required to take a course in undergraduate calculus and linear algebra. We mostly tried to use the engineering intuition instead of insisting on mathematical tricks. The main feature of the material presented here is its clarity, motivation and the genuine desire of the authors to make extremely transparent the "mysterious" mathematical tools that are used to describe and organize the great variety of impressions that come to the searching mind, from the infinite complexity of Nature. The book is recommended not only to engineering and physics students or researchers but also to junior students in mathematics because it shows the connection between pure mathematics and physical phenomena, which always supply motivations for mathematical discoveries.
Higher Math For Beginners
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Author : I︠A︡kov Borisovich Zelʹdovich
language : en
Publisher:
Release Date : 1987
Higher Math For Beginners written by I︠A︡kov Borisovich Zelʹdovich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
A Concise Handbook Of Mathematics Physics And Engineering Sciences
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2010-10-18
A Concise Handbook Of Mathematics Physics And Engineering Sciences written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-18 with Mathematics categories.
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
Advanced Mathematics In Physics And Engineering
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Author : Arthur B. Bronwell
language : en
Publisher:
Release Date : 1953
Advanced Mathematics In Physics And Engineering written by Arthur B. Bronwell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Engineering mathematics categories.
Advanced Mathematics For Applications
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Author : Andrea Prosperetti
language : en
Publisher: Cambridge University Press
Release Date : 2011-01-06
Advanced Mathematics For Applications written by Andrea Prosperetti 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 2011-01-06 with Mathematics categories.
The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.
Higher Mathematics For Science And Engineering
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Author : Aliakbar Montazer Haghighi
language : en
Publisher: Springer
Release Date : 2024-03-14
Higher Mathematics For Science And Engineering written by Aliakbar Montazer Haghighi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-14 with Technology & Engineering categories.
This textbook provides a comprehensive, thorough and up-to-date treatment of topics of mathematics that an engineer and scientist would need, at the basic levels that contents of engineering and sciences are built by. For this purpose, natural readers would be junior and senior undergraduate students, who normally have the content of this book under different names on their degree plans. Also, engineers and scientists will benefit from this book since the book is a comprehensive volume for such audiences. This book is written in a way that it balances both theory and practical applications of topics from linear algebra, matrix theory, calculus of multivariable, theory of complex variables, several transforms, ordinary and partial differential equations, difference equations, optimization, probability, statistics, theory of reliability and finally, applications from variety of areas of sciences and engineering.
Catalogue For Allegheny College
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Author :
language : en
Publisher:
Release Date : 1888
Catalogue For Allegheny College written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1888 with categories.
Higher Mathematics For Engineers And Physicists
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Author : Ivan Stephen Sokolnikoff
language : en
Publisher:
Release Date : 1962
Higher Mathematics For Engineers And Physicists written by Ivan Stephen Sokolnikoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Calculus categories.