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Mathematical methods for oscillation...

Franklin, Joel, (1975-)

Mathematical methods for oscillations and waves /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical methods for oscillations and waves /Joel Franklin.
作者:	Franklin, Joel,
出版者:	Cambridge ;Cambridge University Press,2020.
面頁冊數:	xiii, 260 p. :ill. ;26 cm.
標題:	Mathematical physics.
ISBN:	9781108488228 :

Mathematical methods for oscillations and waves /
Franklin, Joel,1975-

Mathematical methods for oscillations and waves /Joel Franklin. - Cambridge ;Cambridge University Press,2020. - xiii, 260 p. :ill. ;26 cm.

Includes bibliographical references and index.

Harmonic oscillator -- Damped harmonic oscillator -- Coupled oscillators -- The wave equation -- Integration -- Waves in three dimensions -- Other wave equations -- Numerical methods.

"Anchored in simple and familiar physics problems, the author provides a focused introduction to mathematical methods in a narrative driven and structured manner. Ordinary and partial differential equation solving, linear algebra, vector calculus, complex variables and numerical methods are all introduced and bear relevance to a wide range of physical problems. Expanded and novel applications of these methods highlight their utility in less familiar areas, and advertise those areas that will become more important as students continue. This highlights both the utility of each method in progressing with problems of increasing complexity while also allowing students to see how a simplified problem becomes 're-complexified'. Advanced topics include nonlinear partial differential equations, and relativistic and quantum mechanical variants of problems like the harmonic oscillator. Physics, mathematics and engineering students will find 300 problems treated in a sophisticated manner. The insights emerging from Franklin's treatment make it a valuable teaching resource"--

ISBN: 9781108488228 :NT$1614

LCCN: 2019040263Subjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QA865 / .F73 2020

Dewey Class. No.: 531/.32015118

Mathematical methods for oscillations and waves /
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245 1 0 $a Mathematical methods for oscillations and waves / $c Joel Franklin.
260 $a Cambridge ; $a New York, NY : $b Cambridge University Press, $c 2020.
300 $a xiii, 260 p. : $b ill. ; $c 26 cm.
504 $a Includes bibliographical references and index.
505 0 $a Harmonic oscillator -- Damped harmonic oscillator -- Coupled oscillators -- The wave equation -- Integration -- Waves in three dimensions -- Other wave equations -- Numerical methods.
520 $a "Anchored in simple and familiar physics problems, the author provides a focused introduction to mathematical methods in a narrative driven and structured manner. Ordinary and partial differential equation solving, linear algebra, vector calculus, complex variables and numerical methods are all introduced and bear relevance to a wide range of physical problems. Expanded and novel applications of these methods highlight their utility in less familiar areas, and advertise those areas that will become more important as students continue. This highlights both the utility of each method in progressing with problems of increasing complexity while also allowing students to see how a simplified problem becomes 're-complexified'. Advanced topics include nonlinear partial differential equations, and relativistic and quantum mechanical variants of problems like the harmonic oscillator. Physics, mathematics and engineering students will find 300 problems treated in a sophisticated manner. The insights emerging from Franklin's treatment make it a valuable teaching resource"-- $c Provided by publisher.
650 0 $a Mathematical physics. $3 190854
650 0 $a Oscillations $x Mathematical models. $3 722557
650 0 $a Waves $x Mathematical models. $3 648059
776 0 8 $i Online version: $a Franklin, Joel, 1975- $t Mathematical methods for oscillations and waves $d Cambridge ; New York, NY : Cambridge University Press, 2020 $z 9781108769228 $w (DLC) 2019040264