Kategoria BISAC: Mathematics >> Mathematical Analysis

The Enumath conferences were established in 1995 to provide a forum for discussing current topics in numerical mathematics. They convene leading experts and young scientists, with special emphasis on contributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms, as well as their application to challenging scientific and industrial problems.

The topics of Enumath 99 included finite element methods, a...

Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. The well known example of Brownian particle suspended in fluid and subjected to random molecular bombardment laid the foundation for modern stochastic calculus and statistical physics. Other important examples include turbulent transport and diffusion of particle-tracers (pollutants), or continuous densities (''oil slicks''), wave propagation and...

Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems. Thus, the presentation starts slowly with very familiar concepts and shows how these are generalized in a natural way to problems involving a memory. Liapunov's direct method is gently introduced and applied...

- written by well-known experts in the field
- self contained volume in series covering one of the most rapid developing topics in mathematics

- Proof of Bieberbach conjecture (after DeBranges)
- Material on asymptotic values
- Material on Natural Boundaries
- First four chapters are comprehensive introduction to entire and metomorphic functions
- First chapter (Riemann Mapping Theorem) takes up where "first courses" usually leave off

Hellmuth Kneser (1898-1973) is the second of three mathematicians from consecutive generations of the Kneser family, all of them with groundbreaking mathematical contributions on a wide range of topics. It was only in recent times that mathematicians recognized how Hellmuth Kneser's work influenced the course of topology and the theory of several complex variables in the 20th century. Indeed he was a mathematician of extraordinarily broad vision and insight and thus contributed to many mathematical fields of pure and applied mathematics including foundations, differential equations,...

Praise for the First Edition

"Anyone interested in getting an introduction to Ramsey theory will find this illuminating..."
--MAA Reviews

Covering all the major concepts, proofs, and theorems, the Second Edition of Ramsey Theory is the ultimate guide to understanding every aspect of Shelah's proof, as well as the original proof of van der Waerden. The book offers a historical perspective of Ramsey's fundamental paper from 1930 and Erdos' and Szekeres' article from 1935, while placing the various theorems in the context of T. S....