The Net Advance of Physics:
FOURIER

FOURIER ANALYSIS and FOURIER TRANSFORM:

• General: Definitions: Dave's Math Tables no date; Weisstein 97/12;
• General: Tables: Dave's Math Tables no date;
• General: Introductory: Polikar 96/05; Weisstein 97/12;
• General: Homepages: Computational Physics 3 - Fourier Homepage (VisLab, Univ. of Sidney);

• General:
  • On the Mathematics of Music: From Chords to Fourier Analysis by Nathan Lenssen and Deanna Needell [2013/06]
  • Analytical Methods in Physics by Yi-Zen Chu [2015] Textbook, 232 pp.
  • Lecture Notes on Mathematical Methods of Classical Physics by Vicente Cortés and Alexander S. Haupt [2016/12] 105 pp.
  • Notes on Harmonic Analysis, Part I: The Fourier Transform by Kecheng Zhou and Vali Siadat [2017/09]
  • Introduction to Engineering Mathematics and Analysis: Modeling Physical Systems Using the Language of Mathematics by B. D. Wood [2023/05] Undergraduate textbook, 474 pp.
  • A pedagogical tour of the Fourier transform with applications to NMR and IR spectroscopy by A. J. Dominic et al. [2024/10]

• Type: ARITHMETIC:
  • The arithmetic Fourier transform by J. L. Schiff [2020/12]

• Type: TWO DIMENSIONAL: Introductory: Cowtan no date;

• Type: TRUNCATED:
  • An Illustrated Introduction to the Truncated Fourier Transform by Paul Vrbik [2016/02]

• Type: TWO DIMENSIONAL: Re: OPTICS: Introductory: Robertson 97/05;
• Types: FAST;

• Aspects: FOURIER SERIES; PSEUDODIFFERENTIAL OPERATORS;

• Aspects: INVERSE:
  • The Mathematics of Phase Retrieval by Philipp Grohs et al. [2019/01]

• Re: ACOUSTICS: Introductory: Johnston no date;

• Re: ASTROPHYSICS:
  • Fourier domain [methods of studying astronomical time variablilty] by M. Bachetti and D. Huppenkothen [2022/09]

• Re: BOOLEAN FUNCTIONS:
  • Analysis of Boolean functions by R. O'Donnell [2021/05]

• Re: MANY BODY PROBLEM: Dremin 98/10;

• Re: OPTICS: Robertson 97/05;
  • Fourier optics: basic concepts by Stephane Perrin [2018/02]
  • Advancing Fourier: Space-Time Concepts in Ultrafast Optics, Imaging and Photonic Neural Networks by Luc Froehly et al. [2019/11]
  • Ubiquity of Fourier Transformation in Optical Sciences by Masud Mansuripur [2020/06]
  • Tutorial of Fourier transform for ultrafast optics by Y.-H. Chen [2024/12]

• Re: SPECTROSCOPY:
  • Theory and instrumentation of Fourier transform spectroscopy by S. Sheikh-Sofla and M. Neshat [2023/02]
  • A pedagogical tour of the Fourier transform with applications to NMR and IR spectroscopy by A. J. Dominic et al. [2024/10]

• General: Definitions: Weisstein 97/12;
• General: Introductory: Johnston 97/03; Weisstein 97/12;
• Re: ACOUSTICS: Introductory: Johnston no date;

THE NET ADVANCE OF PHYSICS