Sonia Kovalevsky : biography and autobiography.

Sonia Kovalevsky, what I know about her from personal acquaintance and what she told me about herself, by Anna Carlotta Leffler, duchess of Cajanello,--Life in Russia; the sisters Rajevski, by Sonia Kovalesky.

Annuaire des mathématiciens

Mode of access: Internet.

Der Briefwechsel von Gottfried Wilhelm Leibniz mit Mathematikern /

No more published.

Correspondance d'Hermite et de Stieltjes.

Mode of access: Internet.

Beretning.

Mode of access: Internet.

On-line learning in neural networks

On-line learning is one of the most powerful and commonly used techniques for training large layered networks and has been used successfully in many real-world applications. Traditional analytical methods have been recently complemented by ones from statistical physics and Bayesian statistics. This powerful combination of analytical methods provides more insight and deeper understanding of existing algorithms and leads to novel and principled proposals for their improvement. This book presents a coherent picture of the state-of-the-art in the theoretical analysis of on-line learning. An introduction relates the subject to other developments in neural networks and explains the overall picture. Surveys by leading experts in the field combine new and established material and enable non-experts to learn more about the techniques and methods used. This book, the first in the area, provides a comprehensive view of the subject and will be welcomed by mathematicians, scientists and engineers, whether in industry or academia.

Multibody System Mechanics: Modelling, Stability, Control, and Robustness by V. A. Konoplev and A. Cheremensky

BOOK REVIEWS Multibody System Mechanics: Modelling, Stability, Control, and Ro- bustness, by V. A. Konoplev and A. Cheremensky, Mathematics and its Appli- cations Vol. 1, Union of Bulgarian Mathematicians, Sofia, 2001, XXII + 288 pp., $ 65.00, ISBN 954-8880-09-01

Nonlinear Waves: An Introduction

This book deals with equations of mathematical physics as the different modifications of the KdV equation, the Camassa-Holm type equations, several modifications of Burger's equation, the Hunter-Saxton equation, conservation laws equations and others. The equations originate from physics but are proposed here for their investigation via purely mathematical methods in the frames of university courses. More precisely, we propose classification theorems for the traveling wave solutions for a sufficiently large class of third order nonlinear PDE when the corresponding profiles develop different kind of singularities (cusps, peaks), existence and uniqueness results, etc. The orbital stability of the periodic solutions of traveling type for mKdV equations are also studied. Of great interest too is the interaction of peakon type solutions of the Camassa-Holm equation and the solvability of the classical and generalized Cauchy problem for the Hunter-Saxton equation. The Riemann problem for special systems of conservation laws and the corresponding -shocks are also considered. As it concerns numerical methods we apply the CNN approach. The book is addressed to a broader audience including graduate students, Ph.D. students, mathematicians, physicist, engineers and specialists in the domain of PDE.

Riemann's Hypothesis

Riemann’s memoir is devoted to the function π(x) defined as the number of prime numbers less or equal to the real and positive number x. This is really the fact, but the “main role” in it is played by the already mentioned zeta-function.

Application of MARS for the Construction of Nonparametric Models

2000 Mathematics Subject Classification: 62G08, 62P30.

Наука и Изкуство: История на взаимно вдъхновение

Science and art are considered as two distinct areas in the spectrum of human activities. Many scientists are inspired by art and many artists embed science in their work. This paper presents a one-year experiment, which started with benchmark tests of a compiler, passed through dynamic systems based on complex numbers and ended as a scientific art exhibition. The paper demonstrates that it is possible to blend science and art in a mutually beneficial way. It also shows how science can inspire the creation of artistic works, as well as how these works can inspire further scientific research.

Method of Linear Programming as an Idea for High School Curriculum

2010 Mathematics Subject Classification: 97D40, 97M10, 97M40, 97N60, 97N80, 97R80

Иновации в математическото образование: европейските проекти InnoMathEd и Fibonacci

Petar Kenderov The paper considers the participation of the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences, into two European projects, InnoMathEd and Fibonacci. Both projects address substantial innovations in mathematics education and their dissemination on European level. Inquiry based learning is the central focus of the two projects. A special emphasis is paid on the outcomes of the projects in terms of didactic concepts, pedagogical methodologies and innovative learning environments aimed at pupils’ active, self-responsible and exploratory learning.

Проблеми в обучението на учителите по математика

Kiril Bankov What mathematics do teachers need to know to teach effectively? This question has been of great importance in the studies of mathematics teacher preparation for the last decade. Many theoretical papers have been published but there is not a common understanding yet. Large scale studies have also contributed to the issue. This paper presents some results of an international study in this area and discusses problems in preparation of mathematics teachers in Bulgaria.

Nonlocal Boundary Value Problems for Two-Dimensional Potential Equation on a Rectangle

Иван Димовски, Юлиан Цанков - Предложено е разширение на принципa на Дюамел. За намиране на явно решение на нелокални гранични задачи от този тип е развито операционно смятане основано върху некласическа двумерна конволюция. Пример от такъв тип е задачата на Бицадзе-Самарски.