Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians physicists and engineers. In most books this diversity of interest is often ignored but here Dr Körner has provided a shop-window for some of the ideas techniques and elegant results …
For physicists engineers and mathematicians Fourier analysis constitutes a tool of great usefulness. A wide variety of the techniques and applications of the subject were discussed in Dr Körner’s highly popular book Fourier Analysis. Now Dr Körner has compiled a collection of exercises on Fourier analysis that will thoroughly test the understanding of the reader. …
Exercises in Fourier Analysis Läs mer »
The twentieth century has witnessed an unprecedented ‘crisis in the foundations of mathematics’ featuring a world-famous paradox (Russell’s Paradox) a challenge to ‘classical’ mathematics from a world-famous mathematician (the ‘mathematical intuitionism’ of Brouwer) a new foundational school (Hilbert’s Formalism) and the profound incompleteness results of Kurt Gödel. In the same period the cross-fertilization of mathematics …
Philosophy of Mathematics Läs mer »
This book written by one of philosophy’s pre-eminent logicians argues that many of the basic assumptions common to logic philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations …
The Principles of Mathematics Revisited Läs mer »
This book provides an elementary introduction to the subject of quantum optics the study of the quantum mechanical nature of light and its interaction with matter. The presentation is almost entirely concerned with the quantized electromagnetic field. Topics covered include single-mode field quantization in a cavity quantization of multimode fields quantum phase coherent states quasi-probability …
Introductory Quantum Optics Läs mer »
