Butsuri Gensho No Fourier Kaiseki (Chiku Ma Gakugei Bunko Ko 47-1 Math & Science)

[Machine Translation] Joseph Fourier ( 1768 -1830 ) discovered from his study of heat conduction that "any periodic function can be represented by an infinite sum of trigonometric functions. In fact, his method of series expansion proved to be an indispensable tool for clarifying not only heat conduction but also various physical phenomena. This book introduces many concrete examples ranging from familiar phenomena such as heat, light, and sound propagation to applications of the Fourier transform in linear response theory and quantum theory. With careful writing, the book invites the reader to enter the world of diverse physics.

熱伝導の研究から、「任意の周期関数は三角関数の無限和で表される」ことを発見したジョゼフ・フーリエ(1768‐1830)。実際その級数展開の方法は、熱伝導のみならず、さまざまな物理現象をときあかすために欠かせないツールであることが明らかとなった。本書は熱・光・音の伝播という身近な現象から、線形応答理論や量子論におけるフーリエ変換の応用まで、具体例を多数紹介。丁寧な筆致で、読者を多様な物理の世界へといざなう。