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Lagrange and Finsler Geometry
The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian. Nevertheless, such geometries are playing an increasingly important role in a wide variety of problems in fields ranging from relativistic optics to ecology. The present collection of papers will serve to bring the reader up-to-date on the most recent advances. Subjects treated include higher order Lagrange geometry, the recent theory of -Lagrange manifolds, electromagnetic theory and neurophysiology. Audience: This book is recommended as a (supplementary) text in graduate courses in differential geometry and its applications, and will also be of interest to physicists and mathematical biologists.
Nonholonomic Mechanics and Control
This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.
La Grange
La Grange, voted the capital of the Republic of Texas in 1838, is as colorful and audacious as the state itself. Its citizens were instrumental in winning the republics freedom and have always been willing to fight for their beliefs. Many defend La Grange as the true capital of Texas, unfairly stripped of its title. The town flourished during the 19th century and witnessed the birth of a rough-and-tumble society, where arguments were commonly settled with fists, knives, and guns. In later years, immigrants flocked to the area and built a strong agricultural economy. The 20th century might have passed quietly into history if not for a Houston television reporter who publicized the demise of one of Texass best-known brothels, the Chicken Ranch, located just outside of La Grange. The extensive publicity surrounding the closing of the Best Little Whorehouse in Texas resulted in a musical and movie of the same name, as well as a song by ZZ Top.
Notices to Airmen
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Laser Beam Shaping Applications
The practice of shaping the irradiance profile of laser beams goes back more than three decades, and the applications of beam shaping are as diverse as they are numerous. However, until Dickey and Holswade's groundbreaking and highly popular Laser Beam Shaping: Theory and Techniques was published, there was no single, detailed treatment available on the underlying theory and basic techniques of beam shaping. Building on the foundations of this previous work, these esteemed editors have teamed with recognized expert David L. Shealy to produce the first in-depth account of beam shaping applications and design. Laser Beam Shaping Applications details the important features of beam shaping and e...
Quantization of Fields with Constraints
Gauge field theories underlie all models now used in elementary particle physics. These theories refer to the class of singular theories which are also theories with constraints. The quantization of singular theories remains one of the key problems of quantum field theory and is being intensively discussed in the literature. This book is an attempt to fill the need for a comprehensive analysis of this problem, which has not heretofore been met by the available monographs and reviews. The main topics are canonical quantization and the path integral method. In addition, the Lagrangian BRST quantization is completely described, for the first time in a monograph. The book also presents a number ...
Principles of Engineering Mechanics
Separation of the elements of classical mechanics into kinematics and dynamics is an uncommon tutorial approach, but the author uses it to advantage in this two-volume set. Students gain a mastery of kinematics first – a solid foundation for the later study of the free-body formulation of the dynamics problem. A key objective of these volumes, which present a vector treatment of the principles of mechanics, is to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results. In the first volume, the elements of vector calculus and the matrix algebra are reviewed in a...
Construction Reports
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