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Geometric Dynamics
The theme of this text is the philosophy that any particle flow generates a particle dynamics, in a suitable geometrical framework. It covers topics that include: geometrical and physical vector fields; field lines; flows; stability of equilibrium points; potential systems and catastrophe geometry; field hypersurfaces; bifurcations; distribution orthogonal to a vector field; extrema with nonholonomic constraints; thermodynamic systems; energies; geometric dynamics induced by a vector field; magnetic fields around piecewise rectilinear electric circuits; geometric magnetic dynamics; and granular materials and their mechanical behaviour. The text should be useful for first-year graduate students in mathematics, mechanics, physics, engineering, biology, chemistry, and economics. It can also be addressed to professors and researchers whose work involves mathematics, mechanics, physics, engineering, biology, chemistry, and economics.
Convex Functions and Optimization Methods on Riemannian Manifolds
The object of this book is to present the basic facts of convex functions, standard dynamical systems, descent numerical algorithms and some computer programs on Riemannian manifolds in a form suitable for applied mathematicians, scientists and engineers. It contains mathematical information on these subjects and applications distributed in seven chapters whose topics are close to my own areas of research: Metric properties of Riemannian manifolds, First and second variations of the p-energy of a curve; Convex functions on Riemannian manifolds; Geometric examples of convex functions; Flows, convexity and energies; Semidefinite Hessians and applications; Minimization of functions on Riemannia...
The Romanians
A history of the Romanian people which seeks to make intelligible their aspirations, achievements and plight. The author, who died in 1988, had been for many years the Director of the Romanian Radio Service for Europe.
Informal Introduction To Stochastic Calculus With Applications, An (Second Edition)
Most branches of science involving random fluctuations can be approached by Stochastic Calculus. These include, but are not limited to, signal processing, noise filtering, stochastic control, optimal stopping, electrical circuits, financial markets, molecular chemistry, population dynamics, etc. All these applications assume a strong mathematical background, which in general takes a long time to develop. Stochastic Calculus is not an easy to grasp theory, and in general, requires acquaintance with the probability, analysis and measure theory.The goal of this book is to present Stochastic Calculus at an introductory level and not at its maximum mathematical detail. The author's goal was to ca...
Calcium Signaling
This volume contains a unique selection of chapters covering a wealth of contemporary topics in this ubiquitous and diverse system of cell signaling. It offers much more than the accessibility and authority of a primary text book, exploring topics ranging from the fundamental aspects of calcium signaling to its varied clinical implications. It presents comprehensive discussion of cutting-edge research alongside detailed analysis of critical issues, at the same time as setting out testable hypotheses that point the way to future scientific endeavors. The contributions feature material on theoretical and methodological topics as well as related subjects including mathematical modeling and simulations. They examine calcium signaling in a host of contexts, from mammalian cells to bacteria, fruit fly and zebrafish. With much of interest to newcomers to the field as well as seasoned experts, this new publication is both wide-ranging and authoritative. The chapter “Calcium Signaling: From Basic to Bedside” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Proceedings of the International Congress of Mathematicians
Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account...
50 Forgotten Macedonian Folk Songs
A collection of 50 old Macedonian folk songs with newly composed melodies. The songs' lyrics primarily come from Dimitar and Konstantin Miladinov, two brothers who traveled Macedonia in the mid-19th century to collect and jot down these songs. However, the brothers did not notate the melodies that accompany these lyrics. Sinadinoski created new melodies in the Macedonian folk style and spirit to ensure the lyrics' survival in the collective folk memory of the Macedonian people, and they are a wonderful and enjoyable addition to any folk enthusiast's repertoire. The collection contains melodies in the treble clef, chords, Macedonian lyrics, and English translations.
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Byzantium After Byzantium
Originally published in French in 1935, the author's formula Byzantium after Byzantium defines several centuries of world history. Iorga points out the great contributions of Byzantine civilization to the Western world, especially during the Renaissance. He demonstrates that Byzantium survived through its people and local autonomies, as well as through its exiles--clerics, scholars, merchants, and political officials. One of the most important expressions of this was found in the Romanian principalities where Greeks from the Phanar district of Istanbul played a major role in Romanian political life, defining an entire period of Romanian history--the Phanariot Period. They continued the Byzantine ideas, aspirations, education, and way of life. All of this allows us to speak of a Byzantium after Byzantium.
