This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics (including string theory), while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics.Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and de Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles.Part II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups.The style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists.
Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics.Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory.This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.
In this book, the issues regarding the theory of optics and quantum optics of spherical multilayered systems are studied. In such systems the spatial scale of layers becomes comparable with the wavelength of radiation, which complicates the analysis of important quantities such as reflectivity and transmission. Often, a large amount of time is spent on performing numerical calculations and simulation to elucidate the behavior of such electromagnetic properties. The author has written down the calculation details of important properties of multilayered microspheres in a more comprehensive manner, so that undergraduates and practitioners can follow them freely.From a skill-oriented point of view the book covers the following: electrodynamics of multilayered environments in the spherical geometry; methods of calculating both reflection and transmission coefficients from an alternating stack; calculations of eigenfrequencies and quality factors of electromagnetic oscillations; radial distribution of the electromagnetic field in a spherical cavity; computer methods of calculations with C++ as basic languages and construction of the graphic user interface (GUI); the object-oriented approach as a basis of the modern methods of calculation.
This book defines, describes, and prescribe the newly emerged paradigm of complexity of change-how a simple system ruled by a deterministic law can evolve in a manner too complex to predict in detail in the long run. After explaining, through examles, the underlying idea of sensitive depenence on initial conditions caused by non-linearity, id describes the powerful qualitative techniques.
This book represents the first systematic collection and analysis of the principal legends about Kabir Das, a fifteenth-century poet-saint. It focuses on the ways in which the legends embody and reflect the often changing social and religious needs of those who created and listened to them. Particular attention is paid to the earliest known collection of legends, Ananta-das's Kabir Parachai. This book makes available for the first time an English translation of this text, with detailed notes on its variant readings, as well as a corrected Hindi edition based on a comparison of over a dozen manuscripts. The various historical synchronisms between Kabir and his leading contemporaries, including Ramananda and King Virasimhadev Baghel, are reevaluated, and a solution is proposed to the longstanding debate about Kabir's dates.
This book introduces the subject of molecular electrostatics to postgraduate students, teachers and young researchers in chemistry, physics and biology. It discusses rigorous as well as applied aspects of the molecular electrostatic potential (MESP) and provides an essence of relevant mathematical arguments, without going into detailed derivations. A number of color illustrations highlight the salient features of MESP.
This is the second of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with the properties of special functions and orthogonal polynomials (Legendre, Gegenbauer, Jacobi, Laguerre, Bessel and others) which are related to the class 1 representations of various groups. The tree method for the construction of bases for representation spaces is given. `Continuous' bases in the spaces of functions on hyperboloids and cones and corresponding Poisson kernels are found. Also considered are the properties of the q-analogs of classical orthogonal polynomials, related to representations of the Chevalley groups and of special functions connected with fields of p-adic numbers. Much of the material included appears in book form for the first time and many of the topics are presented in a novel way. This volume will be of great interest to specialists in group representations, special functions, differential equations with partial derivatives and harmonic anlysis. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.
• Each chapter will provide PowerPoint slides for the faculties to use as a preliminary version for their UG classes. They can edit as needed and use them • Handy supplementary forms have been included for a few chapters, namely Case history, Protective stabilization, which students and practitioners can use to diagnose the problems and manage a child properly. It regularly allows excellent documentation at the department and clinic level to systematically collect data and write research papers • All the related and integrated specialties of Pediatric Dentistry is extensively covered with the experts in the field under "Interdisciplinary Pediatric Dentistry" • The terminologies and sections divisions are updated with the American Academy of Pediatric Dentistry (AAPD) and the International Association of Paediatric Dentistry (IAPD) guidelines • Clinician's Corner – Handy, clinical tips were provided at the end of each relevant chapter to understand better the topic for the students and the Practicing Dentists and Pediatric dentists • Chapters on exceptional and innovative topics such as Research Methodology for beginners, Dental Photography, Psychological ownership, Ethics, Ergonomics, which are often expected, have been included • Administering LA to children - one of the most challenging things in Pediatric Dentistry is addressed through a dedicated chapter on The "TeDiE Technique • Flowcharts have been included in many chapters to understand the subject or procedures better. • Stepwise clinical images have been provided for specific clinical procedures (viz. ART, Strip crown)
The Book Of Prayer Is A Multi-Faith Collection Of Prayers, Sayings And Devotional Poems, Brought Together As Inspirations And Reflections For Each Day Of The Year. Represented Here Are All The World Major Faiths And Traditions: Buddhism, Christianity, Hinduism, Islam, Jainism, Judaism, Sikhism And Zoroastrianism. Prophets, Saints, And Ordinary Seekers, Some Known, Many Anonymous, Show Us The Way To A Celebration Of The Divine And A Sacred Connection With All Life. Contained In These Pages Is The Wisdom Of The Great Religious Texts, Among Them The Upanishads, The Bible, The Quran, The Dhammapada And The Adi Granth. There Are Verses By Mystics And Saints-Poets Like Kabir, Bulle Shah, Lal Ded, Meera Bai, Jnaneshwar, Aandal, Mahadeviakka And St. Francis Of Assisi, And Poems By Famous Literary Figures Like John Donne, Christina Rossetti And Gerard Manley Hopkins. Also Included Are Songs Of Hope Composed By People Coping With The Compulsions Of Everyday Life?Farmers, Sailors, Doctors And Students.
Powder metallurgy (PM) of biomaterials is still a niche market, but considerable progress in related manufacturing technologies opens up the possibility of participating in the emerging market for medical devices and surgical implants within the next decade. PM technologies like metal injection moulding (MIM) are promising manufacturing routes if large quantities of complex-shaped parts are required. In addition, porous implants or coatings that improve implant fixation by bone ingrowth are preferentially made by PM technologies. In this chapter, the most promising PM routes for biomedical applications are introduced. Challenges and specific properties of implant materials are discussed, which were made starting from titanium, magnesium or Nitinol powders. The potential of PM is demonstrated in four case studies.
This book analyzes the writings of Karl Rahner, Karl Barth and Vedanta Desika to disclose how each construes "piety" and "responsibility" as integral to each other. Each theologian expresses a fundamental unity of love of God and love of neighbour. Sheveland explores this unity in ecumenical and interreligious frameworks, showing how these authors privilege theology as practice, enactment, or simply as ethical. He uses the Renaissance genre of musical polyphony as a methodological tool to investigate the aesthetic quality and the similarity-in-difference of the theological voices being compared.
Rothman-Simeone The Spine helps you achieve optimal outcomes in the clinical practice of spine surgery in adults and children. Drs. Harry N. Herkowitz, Steven R. Garfin, Frank J. Eismont, Gordon R. Bell, Richard Balderston, and an internationally diverse group of authorities help you keep up with the fast-paced field and get the best results from state-of-the-art treatments and surgical techniques, such as spinal arthroplasty and the latest spinal implants and equipment. An all-new full-color design and surgical videos online at www.expertconsult.com make this classic text more invaluable than ever before. Get the best results from the full range of both surgical and non-surgical treatment approaches with guidance from the world’s most trusted authorities in orthopaedic spine surgery. Find important information quickly through pearls, pitfalls, and key points that highlight critical points. Watch experts perform key techniques in real time with videos, on DVD and online, demonstrating minimally invasive surgery: SED procedure; thorascopic techniques; lumbar discectomy; pedicle subtraction osteotomy (PSO); C1, C2 fusion; intradural tumor; cervical laminoforaminoty; and much more. Apply the newest developments in the field thanks to expert advice on minimally invasive surgery, spinal arthroplasty and the latest spinal implants and equipments. See procedures clearly through an all new full-color design with 2300 color photographs and illustrations placed in context. Access the fully searchable contents of text online at www.expertconsult.com.
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