Higher Mathematics for Physics and Engineering

Higher Mathematics for Physics and Engineering PDF Author: Hiroyuki Shima
Publisher: Springer Science & Business Media
ISBN: 3540878645
Category : Science
Languages : en
Pages : 693

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Book Description
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.

Higher Mathematics for Physics and Engineering

Higher Mathematics for Physics and Engineering PDF Author: Hiroyuki Shima
Publisher: Springer Science & Business Media
ISBN: 3540878645
Category : Science
Languages : en
Pages : 693

Get Book Here

Book Description
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.

Mathematics for Physics

Mathematics for Physics PDF Author: Michael M. Woolfson
Publisher: Oxford University Press
ISBN: 0199289298
Category : Mathematics
Languages : en
Pages : 805

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Book Description
Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding.

Concepts of Mathematics for Students of Physics and Engineering

Concepts of Mathematics for Students of Physics and Engineering PDF Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781720450764
Category :
Languages : en
Pages : 50

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Book Description
A physicist with an engineering background, the author presents a mathematical dictionary containing material encountered over many years of study and professional work at NASA. This work is a compilation of the author's experience and progress in the field of study represented and consists of personal notes and observations that can be used by students in physics and engineering.Kolecki, Joseph C.Glenn Research CenterDICTIONARIES; PHYSICS; EDUCATION; ENGINEERING; MATHEMATICS; MATHEMATICAL LOGIC; NUMBER THEORY; MAPPING; FUNCTIONS (MATHEMATICS); ALGEBRA; TRANSFORMATIONS (MATHEMATICS); FACTOR ANALYSIS

Concepts of Mathematics for Students of Physics and Engineering

Concepts of Mathematics for Students of Physics and Engineering PDF Author: Joseph C. Kolecki
Publisher:
ISBN: 9781410224903
Category : Mathematics
Languages : en
Pages : 64

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Book Description
CONTENTS:Summary IntroductionLogic and Reasoning Sets Logical Sentences and Truth SetsNumbersPrimes and FactorsIntervals of the Real LineRelationsEquivalenceOrderingMappingTransformationsFunctionsSequencesCurves, Surfaces, and RegionsMathematical SpacesAbstract AlgebraAppendixesA. Ideas From Various Mathematical DisciplinesB. Divisibility of Integers in Base 10 (Integer10)C. Implications and EquivalencesD. Conjunctions and DisjunctionsE. Laws and Theorems of LogicF. Laws and Theorems of Set AlgebraG. Properties of Continuous FunctionsH. Definitions and Theorems From CalculusI. Real-Valued Functions as a Vector SpaceJ. Logical Puzzles and ParadoxesK. Basics of Aristotelian LogicBibliography

Mathematical Methods for Physics and Engineering

Mathematical Methods for Physics and Engineering PDF Author: Kenneth Franklin Riley
Publisher:
ISBN:
Category :
Languages : en
Pages : 1008

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Book Description


Mathematics of Physics and Engineering

Mathematics of Physics and Engineering PDF Author: Edward K. Blum
Publisher: World Scientific
ISBN: 981256621X
Category : Mathematics
Languages : en
Pages : 500

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Book Description
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.

Mathematical Methods for Physics and Engineering

Mathematical Methods for Physics and Engineering PDF Author: Mattias Blennow
Publisher: CRC Press
ISBN: 1351676075
Category : Science
Languages : en
Pages : 508

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Book Description
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.

Guide to Essential Math

Guide to Essential Math PDF Author: Sy M. Blinder
Publisher: Newnes
ISBN: 0124071589
Category : Mathematics
Languages : en
Pages : 285

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Book Description
This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations. - Use of proven pedagogical techniques developed during the author's 40 years of teaching experience - New practice problems and exercises to enhance comprehension - Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables

Introduction to Mathematical Physics

Introduction to Mathematical Physics PDF Author: Chun Wa Wong
Publisher: OUP Oxford
ISBN: 0191648604
Category : Science
Languages : en
Pages : 731

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Book Description
Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps the student master these necessary mathematical skills. It contains advanced topics of interest to graduate students on relativistic square-root spaces and nonlinear systems. It contains many tables of mathematical formulas and references to useful materials on the Internet. It includes short tutorials on basic mathematical topics to help readers refresh their mathematical knowledge. An appendix on Mathematica encourages the reader to use computer-aided algebra to solve problems in mathematical physics. A free Instructor's Solutions Manual is available to instructors who order the book for course adoption.

Mathematical Methods

Mathematical Methods PDF Author: Sadri Hassani
Publisher: Springer Science & Business Media
ISBN: 038721562X
Category : Mathematics
Languages : en
Pages : 673

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Book Description
Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.