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Turbulence Modeling for CFD by David C. C. Wilcox QA913 .W48 2006 This is the Second Edition of Turbulence Modeling for CFD. As in the First Edition, the book revolves around the fact that turbulence modeling is one of three key elements in CFD. The text begins with the simplest models and charts a course leading to some of the most complex models that have been applied to a nontrivial flow. Along the way, a systematic methodology is presented for developing and analyzing turbulence models. The methodology makes use of tensor calculus, similarity solutions, singular perturbation methods, and numerical procedures. The text stresses the need to achieve a balance amongst the physics of turbulence, mathematical tools required to solve turbulence-model equations, and common numerical problems attending their use (i.e., what good is a model if it makes your program crash?). Several user friendly programs are documented in the Appendices and provided on disk. |
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Differential
Geometry and Its Applications by John Oprea QA641 .O67 2007 Designed not just for the math major but for all readers of science, this book provides an introduction to the basics of the calculus of variations and optimal control theory as well as differential geometry. It then applies these essential ideas to understand various phenomena, such as soap film formation and particle motion on surfaces. |
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Differential
Dynamical Systems by James D. Meiss QA614.8 .M45 2007 Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics. Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts-flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple®, Mathematica®, and MATLAB® software to give students practice with computation applied to dynamical systems problems. |
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Mathematics Applied
to Continuum Mechanics by Lee A. A. Segel, G. H. Handelman QA808.2 .S43 2007 This book focuses on the fundamental ideas of continuum mechanics by analyzing models of fluid flow and solid deformation and examining problems in elasticity, water waves, and extremum principles. Mathematics Applied to Continuum Mechanics gives an overview of the subject, with an emphasis on clarity, explanation, and motivation. Extensive exercises and a valuable section containing hints and answers make this an excellent text for both classroom use and independent study. |
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Quantum Electrodynamics by Walter Greiner, Joachim Reinhardt QC680 .G728 2003 This completely revised and corrected new edition provides several new examples and exercises to enable deeper insight in formalism and application of Quantum electrodynamics. It is a thorough introductory text providing all necessary mathematical tools together with many examples and worked problems. In their presentation of the subject the authors adopt a heuristic approach based on the propagator formalism. The latter is introduced in the first two chapters in both its nonrelativistic and relativistic versions. Subsequently, a large number of scattering and radiation processes involving electrons, positrons, and photons are introduced and their theoretical treatment is presented in great detail. Higher order processes and renormalization are also included. The book concludes with a discussion of two-particle states and the interaction of spinless bosons. |
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Classical Mechanics:
Point Particles and Relativity by Walter Greiner, S. Allan Bromley QC125.2 .G7413 2004 The series of texts on Classical Theoretical Physics is based on the highly successful series of courses given by Walter Greiner at the Johann Wolfgang Goethe University in Frankfurt am Main, Germany. Intended for advanced undergraduates and beginning graduate students, the volumes in the series provide not only a complete survey of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems. |
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Classical Electrodynamics by Walter Greiner, D.A. Bromley, Sven Soff QC631 .G79 1998 This reference and workbook provides not only a complete survey of classical electrodynamics, but also an enormous number of worked examples and problems to show the reader clearly how to apply the abstract principles to realistic problems. The book will prove useful to graduate students in electrodynamics needing a practical and comprehensive treatment of the subject. |
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From a Standing Start: My Tennessee
Political Odyssey by Winfield Dunn F440.22 .D86 2007 In 1970 Winfield Dunn set out to change the way politics were played in Tennessee. A virtual political unknown, he touted the then radical idea of a strong two-party state and a united Tennessee. From a Standing Start answers the question "How in the world did a dentist from Memphis ever get to be the governor of our state?" In a time when "Republican" was a dirty word, Winfield Dunn managed to gain support in one of the first closely watched, hard-fought, two-party gubernatorial races in Tennessee. Beating out John Jay Hooker, Dunn became the first Republican governor in fifty years. The complex conditions that enabled a dentist from Memphis to rise to the office of governor are herein revealed. The years of Dunn's governorship, 1971-1975, were a time of great change and advancement, and the governor wasted no time making sure Tennessee followed the nation in creation of public parks, publicly funded kindergarten, and properly maintained safe highways. Leaving partisanship behind, the governor worked to make life better for all Tennesseans, not just those of his party or his geographic region. The memories of former Governor Dunn provide a glimpse into the world of politics and celebrity. His memoir offers a privileged view of the campaign trail and the office of the state's executive power. |
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Quantum Mechanics by Franz Schwabl, R. Kates (Translator) QC174.12 .S38713 2007 This introductory course on quantum mechanics is the basic lecture which precedes and completes the author's second book "Advanced Quantum Mechanics." The new edition is again up-to-date and has been revised. The book meets the students' needs by giving all mathematical steps, worked examples with applications throughout the text, and many problems at the end of each chapter. It contains nonrelativistic quantum mechanics and a short treatment of the quantization of the radiation field. Besides the essentials, topics such as the theory of measurement, the Bell inequality, and supersymmetric quantum mechanics are discussed. |
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Advanced Quantum Mechanics by Franz Schwabl, R. Hilton (Translator) , A. Lahee (Translator) QC174.12 .S38813 2005 Advanced Quantum Mechanics, the second volume on quantum mechanics by Franz Schwabl, discusses nonrelativistic multi-particle systems, relativistic wave equations and relativistic fields. As expected in Schwabl's works, the text features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the student to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. This text extends and complements Schwabl's introductory Quantum Mechanics, which covers nonrelativistic quantum mechanics and offers a short treatment of the quantization of the radiation field. |
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Quantum Mechanics:
Symmetries by Walter Greiner, Berndt Muller QC174.12 .G745 1998 Quantum Mechanics lays the foundation for the rest of the course on advanced quantum mechanics and field theory. Starting from black-body radiation, the photoelectric effect, and wave-particle duality, Greiner goes on to discuss the uncertainty relations, spin, and many-body systems. |
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Field Quantization by Walter Greiner, Joachim Reinhardt QC174.45 .G7213 1996 This detailed introduction develops the concepts and techniques of field quantization, including both the traditional methods of cannonical quantization and the modern approach using path integrals. It is intended for readers well-versed in the basics of quantum mechanics. |
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Classical Mechanics:
Systems of Particles and Hamiltonian Dynamics by Walter Greiner QA805 .G675 2003 The series of texts on Classical Theoretical Physics is based on the highly successful series of courses given by Walter Greiner at the Johann Wolfgang Goethe University in Frankfurt am Main, Germany. Intended for advanced undergraduates and beginning graduate students, the volumes in the series provide not only a complete survey of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems. Classical Mechanics II covers:- Newtonian mechanics in rotating coordinates systems- Mechanics of systems of point particles- Vibrating systems: both discrete and continuous systems (chains, membranes)- Mechanics of Rigid Bodies- Lagrange's equations- Hamilton equations, canonical transformations and Hamilton-Jacobi theory- Nonlinear Dynamics, bifurcations, Lyapunov exponents, chaotic dynamics and includes a brief overview of the history of mechanics. |
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Relativistic Quantum Mechanics:
Wave Equations by Walter Greiner QC174.26 .G7413 2000 Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. Chapter 1 deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties, and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-centre Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Chapter 15 presents the relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner). |