Book Description

This collection of survey articles gives and idea of new methods and results in real and complex analysis and its applications. Besides several chapters on hyperbolic equations and systems and complex analysis, potential theory, dynamical systems and harmonic analysis are also included. Newly developed subjects from power geometry, homogenization, partial differential equations in graph structures are presented and a decomposition of the Hilbert space and Hamiltonian are given.

Book Description
The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting. ... Read more

Book Description
The emphasis of the two volumes is on complex analysis withclassical topics such as value distribution, and modern topics such ascomplex dynamics, both in one and several complex variables; theapplication of complex analysis to partial differential equations andintegral equations and its generalization to quaternionic and Cliffordanalysis; new results from real and functional analysis, numerical andcomputational mathematics; and areas in applied mathematics such asacoustics and computational biology.
Audience: Researchers, especially those working in real andcomplex analysis, in numerical analysis, and in mathematical physics. ... Read more

Customer Reviews (1)

A practical guide to Goethe's colour investigations
The great German poet Johann Wolfgang von Goethe was also an enthusiasticamateur scientist saying that of all his work he considered his scientificwork to be the most important. This is no trivial matter considering thegreat works of prose and poetry Goethe produced eg Faust, Erlkoenig etcetc.

Probably the most well developed of his scientific investigationsis his book on colour theory which studied many aspects of the formation ofcolours. Proskauer in this book reviews and also extends some of Goethe'swork on colour as well as allowing the reader to experience the phenomenafirst hand through a small prism attached to the book with special cards toserve as "light/dark" sources.

The book starts with anintroduction to Goethe's work which contradicts Newton's theories such asthe notion that ordinary "white" light is constructed from acombination of the colours and that the prism separates the colours alreadypresent in it. Proskauer demonstrates that the spectrum observed by theprism is in fact a construction which arises due to two distinct spectraoverlapping and that a spectrum is noticed only in the presence of alight/dark boundary. Further fascinating aspects are disclosed and providea strong argument for a scientific approach akin to Goethe's. The colourphenomenon is observed without abstraction used to construct a colourtheory.

These are the good aspects of the work, however the writing is attimes speculative and goes counter to Goethe's original approach to"never leaving the phenomenon". Somehow it never quite convincesbut nonetheless it certainly wakes up the mind from the mechanistic slumberof ordinary science. Perhaps a deeper approach would remove some of theseproblems.

A good book with great potential. ... Read more