In this textbook a combination of standard mathematics and modern
numerical methods is used to describe a wide range of natural wave
phenomena, such as sound, light and water waves, particularly in
specific popular contexts, e.g. colors or the acoustics of musical
instruments. It introduces the reader to the basic physical principles
that allow the description of the oscillatory motion of matter and
classical fields, as well as resulting concepts including
interference, diffraction, and coherence. Numerical methods offer new
scientific insights and make it possible to handle interesting cases
that can’t readily be addressed using analytical mathematics; this
holds true not only for problem solving but also for the description
of phenomena. Essential physical parameters are brought more into
focus, rather than concentrating on the details of which mathematical
trick should be used to obtain a certain solution. Readers will learn
how time-resolved frequency analysis offers a deeper understanding of
the interplay between frequency and time, which is relevant to many
phenomena involving oscillations and waves. Attention is also drawn to
common misconceptions resulting from uncritical use of the Fourier
transform. The book offers an ideal guide for upper-level
undergraduate physics students and will also benefit physics
instructors. Program codes in Matlab and Python, together with
interesting files for use in the problems, are provided as free
supplementary material.
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Produktdetaljer
ISBN
9783319723143
Publisert
2018
Utgiver
Vendor
Springer
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter