This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).
This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the modern trend of very productive symbiosis between physics and mathematics. Three major areas are covered: (1) linear operators; (2) group representations and Lie algebra representations; (3) topology and differential geometry.The following are noteworthy features of this book: the style of exposition is a fusion of those common in the standard physics and mathematics literatures; the level of exposition varies from quite elementary to moderately advanced, so that the book is of interest to a wide audience; despite the diversity of the topics covered, there is a strong degree of thematic unity; much care is devoted to detailed cross-referencing so that, from any part of the book, the reader can trace easily where specific concepts or techniques are introduced.
This new (second) edition contains a general treatment of quantum field theory (QFT) in a simple scalar field setting in addition to the modern material on the applications of differential geometry and topology, group theory, and the theory of linear operators to physics found in the first edition. All these are introduced without assuming more background on the part of the reader than a good foundation in undergraduate (junior) level mathematical physics. The new material entirely focuses on an introduction to quantum field theory, emphasizing the Feynman path (functional integral) approach to QFT and the renormalization group. With respect to the latter, the focus is on an introduction of its application to critical phenomena in statistical physics, following the outgrowth of the Callan-Symanzik equation originally developed in the context of high energy physics, and the seminal contributions of Kenneth Wilson. One of the overriding aims of the new material is also to draw students' attention to the deep connections between high energy physics and statistical mechanics. The unavoidable technical aspects are explained with a minimum of prerequisite material and jargon, and conceptual understanding is always given prominence before mastery of technical details, but the importance of the latter is never underestimated. Derivational details and motivational discussions are provided in abundance in order to ensure continuity of reading, and to avoid trying the readers' patience.
This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.
This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on those aspects of group theory (spacetime and permutational symmetries and group representations) and differential geometry (geometrical phases, topological quantum numbers, and Chern-Simons Theory) that are relevant in modern developments of the subject. It will provide students with an overview of key elements of the theory, as well as a solid preparation in calculational techniques.
Islam in "Liberal" Europe provides the first comprehensive overview of the political and social status of Islam and of Muslim migrants in Europe. Kai Hafez shows that although legal and political systems have made progress toward recognizing Muslims on equal terms and eliminating discriminatory practices that are in contradiction to neutral secularism, “liberal societies” often lag behind. The author argues that Islamophobic murders in Norway and Germany are only the tip of the iceberg of a deep-seated inability of many Europeans to accept cultural globalization when it hits close to home. Although there have always been anti-racist elites and networks in Europe, Hafez contends that the dominant tradition even among seemingly liberal intellectual milieus and their media is Islamophobic. This fact finds expression not only in the growing anti-Islam sentiment among right-wing populists but sometimes also in so-called enlightened forms of contemporary media, public opinion, school curricula, and Christian interfaith dialogues. In addition to offering a critical assessment of positive and negative trends in Islamic-Western relations, Hafez also engages in a theoretical debate revolving around integration, tolerance, multicultural liberalism, and modern liberal democracy. He combines political philosophy and political and social theory with current analysis on communication and the role of both religious and secular institutions in community-building in modern societies. In essence, the author debates the question of whether liberal society in Europe, in order to avoid a growing gap between integrative politics and discriminatory societies, needs a complete renewal not only of political ideologies but also of cultures and institutions.
This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.
Weight Training for Women's Golf" is the most comprehensive and up-to-date women's golf-specific training guide in the world today. It contains descriptions and photographs of the most effective weight training, flexibility, and abdominal exercises used by top female golfers worldwide, including Annika Sorenstam. This book features year-round golf-specific weight-training programs guaranteed to improve your performance and get you results. No other women's golf book to date has been so well designed, so easy to use, and so committed to weight training. This book enables female golfers of all skill levels to add extra yardage to their drives and irons. By following this program you can develop the flexibility and strength required to eliminate fatigue and increase distance with every club in your bag. With stronger and more flexible muscles, you will not only hit the ball farther but you will have better control over all of your shots throughout the round. Most importantly, you will reduce your chances of injury and be able to play 18 holes at your highest level.
This book addresses the theoretical and practical circuit and system concepts that underpin the design of reliable and reproducible, high performance, monolithic feedback circuits. It is intended for practicing electronics engineers and students who wish to acquire an insightful understanding of the ways in which open loop topologies, closed loop architectures, and fundamental circuit theoretic issues combine to determine the limits of performance of analog networks. Since many of the problems that underpin high speed digital circuit design are a subset of the analysis and design dilemmas confronted by wideband analog circuit designers, the book is also germane to high performance digital circuit design.
Kai and his mother were sitting on an Air China 747 in San Francisco International Airport, waiting impatiently for take-off. Kais father had passed away a year before in the spring of 1988. He was taking his mother home to visit his elder brother in China. The take-off had been delayed because one of the Chinese passengers failed to show up even though he had already checked his luggage. He had decided to remain in the US illegally. This incident took Kai back in time to his own painful and courageous decisions.
The third edition presents a unified, up-to-date and detailed account of broadband matching theory and its applications to the design of broadband matching networks and amplifiers. A special feature is the addition of results that are of direct practical value. They are design curves, tables and explicit formulas for designing networks having Butterworth, Chebyshev or elliptic, Bessel or maximally flat group-delay response. These results are extremely useful as the design procedures can be reduced to simple arithmetic. Two case studies towards the end of the book are intended to demonstrate the applications to the practical design of modern filter circuits."--
Yesterday’s malls as today’s heritage. This book unearths Singapore’s latent histories, cultures and communities that grew within its now ageing modern shopping centres, envisioned in the 1960s futuristically as “Arcades in the Air”. Contributors for this edited book highlight some of such unexpected narratives from the pioneering “Planned Shopping Centres”. They include: malls as historical and photographical sites, as homes for pioneering arcade gamers, youths cultures and veteran rock musicians, and as platforms for artistic imaginations and exhibitions. As largely individually owned shops units within the buildings, the older malls have also fostered more diverse and autonomous communities and businesses. Amidst Singapore’s constantly changing urban landscape, these otherwise dated shopping centres stand precariously as venerable sites of collective social and cultural memories. Includes essays from: Chua Beng Huat, Yu-Mei Balasingamchow, Darren Soh, Roy Kheang, Eunice Lim, Elena Yeo, Steve Ferzacca, Kar-men Cheng, Wee Li Lin
This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).
For Feng Shui followers or anyone looking for a more enlightened eating experience, Feng Shui Kitchen outlines all the essentials of turning a kitchen into a beautiful sanctuary of healing and harmony. For the first time in one volume, here are invaluable techniques on kitchen arrangement, planning and preparing meals, eating in accordance with the seasons, and many more basic principles of the Feng Shui way of life. Exquisite four-color artwork and photography, along with easy-to-follow text, allows readers to turn the eating experience from one of simple nourishment to divine healing.
An invaluable new textbook of pediatric anesthesiology—modeled after the bestselling Morgan and Mikhail’s Clinical Anesthesiology Doody's Core Titles for 2021! Filling a void in the anesthesiology literature, this new text delivers a streamlined yet comprehensive discussion of the unique aspects and considerations necessary to successfully manage pediatric patients. Forty concise chapters written by leading pediatric anesthesiologists cover pertinent issues practitioners face in and out of the operating room. For each procedure covered, there is a review of equipment, technique, alternatives, and ways to manage complications or troubleshoot errors. Helpful “Focus Points” summarize salient concepts in every chapter. Informative illustrations, tables, and graphs are featured throughout. Clinical Pediatric Anesthesiology provides the necessary tools to develop a solid understanding of understand pediatric anesthesia and effectively manage pediatric anesthesia cases. It’s an essential resource for both trainees and practitioners. Clinical Pediatric Anesthesiology ¬covers: Pre-operative evaluation Physiological and anatomical considerations Monitoring, breathing systems, and machines Advanced airway techniques Pharmacology Intraoperative complications Critical care medicine Post anesthesia care Advances in pediatric anesthesia, and more
This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on those aspects of group theory (spacetime and permutational symmetries and group representations) and differential geometry (geometrical phases, topological quantum numbers, and Chern-Simons Theory) that are relevant in modern developments of the subject. It will provide students with an overview of key elements of the theory, as well as a solid preparation in calculational techniques.
This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).
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