Symplectic Geometry and Quantum Mechanics

Maurice A. De Gosson

Introduction We have been experiencing since the 1970s a process of “symplectization” of S- ence especially since it has been realized that symplectic geometry is the natural language of both classical mechanics in its Hamiltonian formulation, and of its...

Modern Differential Geometry in Gauge Theories

Anastasios Mallios

Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of...

Slow Rarefied Flows

Carlo Cercignani

This volume is intended to coverthe presentstatus of the mathematicaltools used to deal with problems related to slow rare?ed ?ows. The meaning and usefulness of the subject, and the extent to which it is covered in the book, are discussed in some detail in the...

Expounding the Mathematical Seed. Vol. 1: The Translation

Agathe Keller

In the 5th century the Indian mathematician Aryabhata (476-499) wrote a small but famous work on astronomy, the Aryabhatiya. This treatise, written in 118 verses, gives in its second chapter a summary of Hindu mathematics up to that time. Two hundred years later, an...

Interpolation, Schur Functions and Moment Problems

Daniel Alpay , Israel Gohberg

Schur analysis originates with a 1917 paper bySchur where he associated to a function analytic and contractive in the open unit disk a sequence, finite or infinite, of numbers in the open unit disk, calledSchur coefficients. In signal processing, they are often called...

Einstein, 1905-2005

Thibault Damour , Olivier Darrigol , Vincent Rivasseau

This book is the fourth in a series of lectures of the S´ eminaire Poincar´ e,whichis directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics....

St. John's Wort and its Active Principles in Depression and Anxiety

Walter E. Müller

Hypericum extract preparations are used extensively in many countries to treat mildly to moderately depressed patients. While this was based previously on traditional experience, extensive research over the last 10 years has given a broad preclinical and clinical basis...

Complement and Kidney Disease

Peter F Zipfel

It is evident that a defective or deregulated complement system results in kidney diseases. An important role of complement effector and regulatory proteins in pathological settings of the kidney has been demonstrated. A large panel of distinct human kidney diseases is...

Quantum-Statistical Models of Hot Dense Matter

Andrei Iacob , Arnold F. Nikiforov , Vladimir G. Novikov , Vasili B. Uvarov

In the processes studied in contemporary physics one encounters the most diverse conditions: temperatures ranging from absolute zero to those found in the cores of stars, and densities ranging from those of gases to densities tens of times larger than those of a solid...

Classical Geometries in Modern Contexts

Walter Benz

Invasive Plants: Ecological and Agricultural Aspects

S. Inderjit

Invasive plants have an impact on global biodiversity and ecosystem function, and their management is a complex task. The aim of this book is to discuss fundamental questions of invasion ecology, such as why particular communities become more invasible than others, what...