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Cardiac Mechanotransduction
For about hundred years the investigation of heart physiology has had one central guiding principle, the "law" of Frank and Starling. This connects the return of blood into the heart and the blood pressure with cardiac con traction force. The "law" does it in a way that enables the cardiovascular system to react to perturbations without major malfunctions. This book is a compilation of reviews of prominent scientists on this subject. The differ ence of the original formulation of the Frank-Starling principle is that mechanotransduction is the central theme that leads the reader through the book. Since the discovery of the "law" the scope of topics related to this subject has broadened enormously, as can be seen easily by glancing at the contents of this book. Mechanotransduction in the heart has many faces that range from molecules to humans and their diseases.
Mathematical Aspects of Classical and Celestial Mechanics
In this book we describe the basic principles, problems, and methods of clssical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth first and foremost the “working” apparatus of classical mechanics. This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. Chapter 1 is devoted to the basic mathematical models of classical - chanics that are usually used for describing the motion of real mechanical systems. Special attention is given to the study of motion with constraints and to the problems of realization of constraints in dynamics. In Chapter 3 we discuss symmetry groups of mechanical systems and the corresponding conservation laws. We also expound various aspects of ord- reduction theory for systems with symmetries, which is often used in appli- tions. Chapter 4 is devoted to variational principles and methods of classical mechanics. They allow one, in particular, to obtain non-trivial results on the existence of periodic trajectories. Special attention is given to the case where the region of possible motion has a non-empty boundary. Applications of the variational methods to the theory of stability of motion are indicated.
Changing Forests : Collective Action, Common Property, and Coffee in Honduras
It merges political ecology, collective-action theories, and institutional analysis to study how the people and forests have changed through socioeconomic and political transitions. It studies the complex, often contradictory relationships between the people and their natural resources to understand why forest cover endures."Changing Forests" therefore encompasses three broad phases: (1) the premodern period, which considers historic perturbations in western Honduras from the period of colonialism into the middle of the twentieth century; (2) the period of state-led logging and intervention in La Campa, which caused major degradation in forest cover; and (3) the recent period in which export coffee production transformed property rights, and people’s perceptions of the forest gained new conservationist and economic dimensions. Each phase entails perspectives and experiences that influenced human use of forests, and shaped subsequent transformations.
Canonical Perturbation Theories, Degenerate Systems, and Resonance
Canonical Perturbation Theories, Degenerate Systems and Resonance presents the foundations of Hamiltonian Perturbation Theories used in Celestial Mechanics, emphasizing the Lie Series Theory and its application to degenerate systems and resonance. This book is the complete text on the subject including advanced topics in Hamiltonian Mechanics, Hori’s Theory, and the classical theories of Poincaré, von Zeipel-Brouwer, and Delaunay.
Atomic structure theory : Lectures on atomic physics
This is a textbook for students with a background in quantum mechanics. The text is designed to give hands-on experience with atomic structure calculations. Material covered includes angular momentum methods, the central field Schrödinger and Dirac equations, Hartree-Fock and Dirac-Hartree-Fock equations, multiplet structure, hyperfine structure, the isotope shift, dipole and multipole transitions, basic many-body perturbation theory, configuration interaction, and correlation corrections to matrix elements.
Asymptotic Analysis and Boundary Layers
Presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general comprehensive presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows. The advantages of SCEM are discussed in comparison with the standard Method of Matched Asymptotic Expansions. In particular, for the first time, the theory of Interactive Boundary Layer is fully justified. With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is self-contained.
Analyse asymptotique et couche limite = Asymptotic analysis and boundary layer
The aim of the book is to give teachers and students (from Bac + 4) in applied mathematics and fluid mechanics a teaching and learning tool illustrated by fifty problems accompanied by their detailed correction. This book presents a new method of asymptotic analysis for "boundary layer" problems. This is called MASC "Method of Complementary Successive Approximations". The first half of the book is devoted, in addition to the presentation of the MASC, to organize the knowledge necessary for the asymptotic analysis and to give the keys allowing the understanding of what is a problem called "boundary layer" and the methods allowing. to build an approximation. The second part is devoted to the application of MASC in fluid mechanics and to the comparison with the more traditional methods resulting from the famous MDAR, "Method of Connected Asymptotic Developments".
An Introduction to Echo Analysis : Scattering Theory and Wave Propagation
The use of various types of wave energy is an increasingly promising, non-destructive means of detecting objects and of diagnosing the properties of quite complicated materials. An analysis of this technique requires an understanding of how waves evolve in the medium of interest and how they are scattered by inhomogeneities in the medium. These scattering phenomena can be thought of as arising from some perturbation of a given, known system and they are analysed by developing a scattering theory. This monograph provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems.
Advances in Variable Structure and Sliding Mode Control
Sliding Mode Control is recognized as an efficient tool to design controllers which are robust with respect to uncertainty. The resulting controllers have low sensitivity to plant parameters and perturbations and allow the possibility of decoupling the original plant system into two components of lower dimension. In addition many controllers ensure finite time convergence to the switching surface and can be straightforwardly implemented. However, in addition to this traditional area of exploitation, sliding mode concepts are being increasingly deployed for the design of observers for estimation and identification.
Advanced Visual Quantum Mechanics
Investigate and to teach quantum mechanics with the aid of computer-generated animations. It is a self-contained textbook that combines selected topics from atomic physics (spherical symmetry, the hydrogen atom, and particles with spin) with an introduction to quantum information theory (qubits, EPR paradox, teleportation, quantum computers). It explores relativistic quantum mechanics and the strange behavior of Dirac equation solutions. A series of appendices covers important topics from perturbation and scattering theory. The book places an emphasis on ideas and concepts, with a fair to moderate amount of mathematical rigor. Though this book stands alone, it can also be paired with Thaller Visual Quantum Mechanics to form a comprehensive course in quantum mechanics. The software for the first book earned the European Academic Software Award 2000 for outstanding innovation in its field.
A Short Course on Operator Semigroups
Gives a streamlined and systematic introduction to strongly continuous semigroups of bounded linear operators on Banach spaces. It treats the fundamental Hille-Yosida generation theorem as well as perturbation and approximation theorems for generators and semigroups.
