8 Ergebnisse.

To comprehend the world around us, we first have to decipher how our brains work. This book outlines a new approach to knowledge and understanding based on the elucidation of several basic neuronal mechanisms.This book explores the crucial fact that unconscious processes and conscious experiences form a continuum, which introduces the concept of 'rerepresentations'. Examples of rerepresentations can be seen in language, mathematics, technology...

To comprehend the world around us, we first have to decipher how our brains work. This book outlines a new approach to knowledge and understanding based on the elucidation of several basic neuronal mechanisms.This book explores the crucial fact that unconscious processes and conscious experiences form a continuum, which introduces the concept of 'rerepresentations'. Examples of rerepresentations can be seen in language, mathematics, technology...

Keine Beschreibung.

Partial differential equations (PDEs) are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics and ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge. This book's authors introduce a novel method, the unified tr...

Partial differential equations (PDEs) are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics and ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge. This book's authors introduce a novel method, the unified tr...

Electroencephalography and magnetoencephalography are the two most efficient techniques to study the functional brain. This book completely aswers the fundamental mathematical question of uniqueness of the representations obtained using these techniques, and also covers many other concrete results for special geometric models of the brain, presenting the research of the authors and their groups in the last two decades.

A novel approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inverse scattering transform that the author introduced in 1997. This method is unique in also yielding novel integral representations for linear PDEs. Several new developments are addressed in the book, including a new transform method for linear evolution equations on the half-line and on...