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The Principle of Least Action
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.
Fundamentals of Electromagnetism
This textbook is a revised and enlarged version of notes for a one-semester course on electromagnetism. It covers the theory of electromagnetic phenomena in vacuum and in material media. The book includes a CD-ROM with didactic software, to solve boundary value problems in electrostatics and magnetostatics.
Interface between Literature and Science
The boundaries of science and literature are permeable; they are continuously crossed and illuminated by a variety of narrative forms and their interpretations. Changes in our perception of the world are informed in equal measure by scientific and humanistic disciplines. This volume treats both literary and scientific texts as products of the human mind, therefore abiding by all the rules it creates, scientific and humanistic alike. The volume does not propose to replace all literary or discourse analysis with a cross-disciplinary science-based approach, but, rather, uses this theoretical stance when more conventional means fail to explain (or even explore) the intricacies of a text. It argu...
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.
Introductory Quantum Mechanics
This book presents a basic introduction to quantum mechanics. Depending on the choice of topics, it can be used for a one-semester or two-semester course. An attempt has been made to anticipate the conceptual problems students encounter when they first study quantum mechanics. Wherever possible, examples are given to illustrate the underlying physics associated with the mathematical equations of quantum mechanics. To this end, connections are made with corresponding phenomena in classical mechanics and electromagnetism. The problems at the end of each chapter are intended to help students master the course material and to explore more advanced topics. Many calculations exploit the extraordinary capabilities of computer programs such as Mathematica, MatLab, and Maple. Students are urged to use these programs, just as they had been urged to use calculators in the past. The treatment of various topics is rather complete, in that most steps in derivations are included. Several of the chapters go beyond what is traditionally covered in an introductory course. The goal of the presentation is to provide the students with a solid background in quantum mechanics.
Future Advances in Basin Modeling
This volume describes the nature, causes, and consequences of the diverse fluid movements that produce energy and mineral resources in sedimentary basins. The contained papers point to new capabilities in basin analysis methods and models. The processes that operate in the resource-producing thermo-chemical-structural reactors we call sedimentary basins are reviewed. Efficient ways to infer the tectonic history of basins are described. Impacts on hydrocarbon maturation and migration of glacial tilting, magmatic intrusion, salt migration, and fracturing are illustrated. The conditions under which subsurface flow will channel with distance traveled are identified. Seismic methods that can image and map subsurface permeability channels are described. The surface maturation, surface charge, and chemical reaction foundations of creep subsidence are set forth. Dynamic aspects of the hydrogen resource in basins are analyzed. There is much that is new that is presented in these papers with the intent of stimulating thinking and enthusiasm for the advances that will be made in future decades.
Popular Science
Popular Science gives our readers the information and tools to improve their technology and their world. The core belief that Popular Science and our readers share: The future is going to be better, and science and technology are the driving forces that will help make it better.
Rethinking Philosophy with Borges, Zambrano, Paz, and Plato
In Rethinking Philosophy with Borges, Zambrano, Paz, and Plato, Hugo Moreno argues that in Ficciones, Claros del bosque, and El mono gramático, Jorge Luis Borges, María Zambrano, and Octavio Paz practice a literary way of philosophizing—a way of seeking and communicating knowledge of reality that takes up analogical procedures. They deploy analogy as an indispensable and irreplaceable heuristic tool and literary device to convey their insight and perplexities on the nature of existence. Borges’ ironic approach involves reading and writing philosophy as fiction. Zambrano’s poetic reason is a mode of writing and thinking based on an imaginative sort of recollection that is ultimately a visionary’s poetizing technique. Paz’s poetic thinking relies on analogy to correlate and harmonize an array of worldviews, ideas, and discourses. In the appendix, Moreno shows that Plato's Republic is a forerunner of this way of philosophizing in literature. Moreno suggests that in the Republic, Plato reconciles philosophy and poetry and creates a rational prose poetry that fuses argumentation and narration, dialectical and analogical reasoning, and abstract concepts and poetic images.
Tecozautla Memories
The author describes her work and experiences as a medical minister in Mexicofor more than 50 years. (Social Issues)
