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The principle of least action originates in the idea that, if nature has a purpose, it should follow a minimum or critical path. This simple principle, and its variants and generalizations, applies to optics, mechanics, electromagnetism, relativity, and quantum mechanics, and provides an essential guide to understanding the beauty of physics. This unique text provides an accessible introduction to the action principle across these various fields of physics, and examines its history and fundamental role in science. It includes - with varying levels of mathematical sophistication - explanations from historical sources, discussion of classic papers, and original worked examples. The result is a story that is understandable to those with a modest mathematical background, as well as to researchers and students in physics and the history of physics.
In this edited collection we commemorate the 60th birthday of Prof. Christopher Byrnes and the retirement of Prof. Anders Lindquist from the Chair of Optimization and Systems Theory at KTH. These papers were presented in part at a 2009 workshop in KTH, Stockholm, honoring the lifetime contributions of Professors Byrnes and Lindquist in various fields of applied mathematics.
Argentine Literature continues to figure prominently in academic programs in the English-speaking world, and it has an increasing presence in English translation in international prizes and trade journals. A History of Argentine Literature proposes a major reimagining of Argentine literature attentive to production in indigenous and migration languages and to current debates in Literary Studies. Panoramic in scope and incisive in its in-depth studies of authors, works, and theoretical problems, this volume builds on available scholarship on canonical works but opens up the field to include a more diverse rendering as well as engaging with the full spectrum of textual interventions from travel writing to drama, from popular 'gauchesca' to celebrated avant guard works Working at the crossroads of disciplines, languages and critical traditions, this book accounts for the wealth of Argentine cultural production and maps the rich, diverse and often overlooked history of Argentine literature.
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This is the second of a series of IFAC Workshops initiated in 2000. The first one chaired and organized by Profs. N. Leonard and R. Ortega, was held in Princeton in March 2000. This proceedings volume looks at the role-played by Lagrangian and Hamiltonian methods in disciplines such as classical mechanics, quantum mechanics, fluid dynamics, electrodynamics, celestial mechanics and how such methods can be practically applied in the control community. *Presents and illustrates new approaches to nonlinear control that exploit the Lagrangian and Hamiltonian structure of the system to be controlled *Highlights the important role of Lagrangian and Hamiltonian Structures as design methods
This volume contains a collection of papers in control theory and applications presented at a conference in honor of Clyde Martin on the occasion of his 60th birthday, held in Lubbock, Texas, November 14-15, 2003.
This textbook, the second in a series (the first covered fundamentals and basics), seeks to make its material accessible to physics students. Physics/engineering can be greatly enhanced by knowledge of advanced mathematical techniques, but the math-specific jargon and laborious proofs can be off-putting to students not well versed in abstract math. This book uses examples and proofs designed to be clear and convincing from the context of physics, as well as providing a large number of both solved and unsolved problems in each chapter. This is the second edition, and it has been significantly revised and enlarged, with Chapters 1 (on linear algebra) and 2 (on the calculus of complex numbers a...
As classic digital computers are about to reach their physical and architectural boundaries, interest in unconventional approaches to computing, such as quantum and analog computers, is rapidly increasing. For a wide variety of practical applications, analog computers can outperform classic digital computers in terms of both raw computational speed and energy efficiency. This makes them ideally suited a co-processors to digital computers, thus forming hybrid computers. This second edition of "Analog and Hybrid Computer Programming" provides a thorough introduction to the programming of analog and hybrid computers. It contains a wealth of practical examples, ranging from simple problems such as radioactive decay, harmonic oscillators, and chemical reaction kinetics to advanced topics which include the simulation of neurons, chaotic systems such as a double-pendulum simulation and many more. In addition to these examples, it contains a chapter on special functions which can be used as "subroutines" in an analog computer setup.
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A NEW YORK TIMES AND NEW YORKER BEST BOOK OF THE YEAR • A poet, a physicist, and a philosopher explored the greatest enigmas in the universe—the nature of free will, the strange fabric of the cosmos, the true limits of the mind—and each in their own way uncovered a revelatory truth about our place in the world “[A] mind-expanding book. . . . Elegantly written.” —The New York Times “A remarkable synthesis of the thoughts, ideas, and discoveries of three of the greatest minds that our species has produced.” —John Banville, The Wall Street Journal Argentine poet Jorge Luis Borges was madly in love when his life was shattered by painful heartbreak. But the breakdown that follow...