Book Description
Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since 1988. The initial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and solution of the discretized equations by direct and iterative methods. The second half furnishes a comprehensive discussion of the mathematical theory of spectral methods on single domains, including approximation theory, stability and convergence, and illustrative applications of the theory to model boundary-value problems. Both the algorithmic and theoretical discussions cover spectral methods on tensor-product domains, triangles and tetrahedra. All chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is greatly expanded as are the set of numerical examples that illustrate the key properties of the various types of spectral approximations and the solution algorithms.
A companion book "Evolution to Complex Geometries and Applications to Fluid Dynamics" contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries and provides detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries.
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Quantum Mechanics: Theory and Applications (Fundamental Theories of Physics)
Ajoy Ghatak , and
S. Lokanathan
Manufacturer: Springer
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Binding: Hardcover
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ASIN: 1402018509 |
Book Description
An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.
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- The next physics revolution will come out of this work
- The next physics revolution will come out of this work
- A brilliant sequel to GRM
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Quantum Mechanics from General Relativity: An Approximation for a Theory of Inertia (Fundamental Theories of Physics)
M. Sachs
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover
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ASIN: 9027722471 |
Customer Reviews:
The next physics revolution will come out of this work.......2000-06-14
I've been studying relativity for 7 years now, and specifically this work for 5. Definately will revolutionize the way physics is done in the 21st century.
anyone out there doing active research please contact me: chorn@home.com
The next physics revolution will come out of this work.......2000-06-14
I've been studying relativity for 7 years now, and specifically this work for 5. Definately will revolutionize the way physics is done in the 21st century.
anyone out there doing active research please contact me: chorn@home.com
A brilliant sequel to GRM.......1997-06-20
Starting with a detailed comparison of the original intentions of Bohr and Einstein in their development of Quantum Mechanics and General Relativity, Sachs shows that the goals of General Relativity are more insightful and subsume those of Quantum Mechanics. Where General Relativity is the forest, Quantum Mechanics is the trees.
By introducing the spinor variables of General Relativity that Sachs derived in his earlier work of General Relativity and Matter, he shows that the low energy form of his General Relativistic equations in the quaternionic basis are very simply Dirac's equations with interaction. To be clear, Quantum Mechanics is nothing more than a very useful, low energy approximation for a complete but more complex treatment under General Relativity in a quaternionic basis.
Then to ring up numerous "firsts" in Physics, it can be shown that there is force symmetry in matter and antimatter and that electrical charge is quantized. Not to be outdone, the next chapter finishes with an amazing derivation of Pauli's Exclusion Principle from first principles.
The broader view of this new Physics will lead the reader into a new order in Physics that breaks with current teaching. The annihilation of particle and antiparticle is shown instead to be a strong coupling of these fermions in a stable dipole unit. The Compton Effect, Blackbody radiation and the anomalous magnetic moment of the electron find new and refreshingly simple explanations. The world is ruled only by fermions. The "delayed action at a distance"of Feynman and Wheeler is restored to currency. The "advanced" solutions take their place beside the "retarded" solutions in a single, complete space-time.
The complete derivation of the full General Relativistic equations is detailed. This is followed by proof that the symmetric tensor part is nothing less than Einstein's original theory of General Relativity and, that the antisymmetric tensor part is Maxwell's equations.
Sach's following sections on elementary particle physics in this new paradigm should send earth tremors through CERN and FERMILAB. Lifetimes and masses of a number of "elementary particles" are discussed in great detail with fascinating new perspective. The muon is demonstrated to be a doublet excited state of the electron with a prediction of its mass and lifetime in accord with experiment.
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Fundamentals of Approximation Theory
Hrushikesh N. Mhaskar , and
Devidas V. Pai
Manufacturer: Narosa
ProductGroup: Book
Binding: Loose Leaf
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ASIN: 0849309395 |
Book Description
The field of approximation theory has become so vast that it intersects with every other branch of analysis and plays an increasingly important role in applications in the applied sciences and engineering. Fundamentals of Approximation Theory presents a systematic, in-depth treatment of some basic topics in approximation theory designed to emphasize the rich connections of the subject with other areas of study. With an approach that moves smoothly from the very concrete to more and more abstract levels, this text provides an outstanding blend of classical and abstract topics. The first five chapters present the core of information that readers need to begin research in this domain. The final three chapters the authors devote to special topics-splined functions, orthogonal polynomials, and best approximation in normed linear spaces- that illustrate how the core material applies in other contexts and expose readers to the use of complex analytic methods in approximation theory. Each chapter contains problems of varying difficulty, including some drawn from contemporary research. Perfect for an introductory graduate-level class, Fundamentals of Approximation Theory also contains enough advanced material to serve more specialized courses at the doctoral level and to interest scientists and engineers.
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Fundamentals of Computation Theory: 13th International Symposium, FCT 2001, Riga, Latvia, August 22-24, 2001. Proceedings (Lecture Notes in Computer Science)
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback
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ASIN: 3540424873 |
Book Description
This book constitutes the refereed proceedings of the 13th International Symposium Fundamentals of Computation Theory, FCT 2001, as well as of the International Workshop on Efficient Algorithms, WEA 2001, held in Riga, Latvia, in August 2001.The 28 revised full FCT papers and 15 short papers presented together with six invited contributions and 8 revised full WEA papers as well as three invited WEA contributions have been carefully reviewed and selected. Among the topics addressed are a broad variety of topics from theoretical computer science, algorithmics and programming theory. The WEA papers deal with graph and network algorithms, flow and routing problems, scheduling and approximation algorithms, etc.
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Fundamentals of Computation Theory: 14th International Symposium, FCT 2003, Malmö, Sweden, August 12-15, 2003, Proceedings (Lecture Notes in Computer Science)
Manufacturer: Springer
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Binding: Paperback
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ASIN: 3540405437 |
Book Description
This book constitutes the refereed proceedings of the 14th International Symposium Fundamentals of Computation Theory, FCT 2003, held in Malmö, Sweden in August 2003.
The 36 revised full papers presented together with an invited paper and the abstracts of 2 invited talks were carefully reviewed and selected from 73 submissions. The papers are organized in topical sections on approximibility, algorithms, networks and complexity, computational biology, computational geometry, computational models and complexity, structural complexity, formal languages, and logic.
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Fundamentals of Computation Theory: 15th International Symposium, FCT 2005, Lübeck, Gemany, August 17-20, 2005, Proceedings (Lecture Notes in Computer Science)
Manufacturer: Springer
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Binding: Paperback
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ASIN: 3540281932 |
Book Description
This book constitutes the refereed proceedings of the 15th International Symposium Fundamentals of Computation Theory, FCT 2005, held in Lübeck, Germany in August 2005.
The 46 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 105 submissions. The papers are organized in topical sections on circuits, automata, complexity, approximability, computational and structural complexity, graphs and complexity, computational game theory, visual cryptography and computational geometry, query complexity, distributed systems, automata and formal languages, semantics, approximation algorithms, average case complexity, algorithms, graph algorithms, and pattern matching.
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Fundamentals of Computation Theory: 16th International Symposium, FCT 2007, Budapest, Hungary, August 27-30, 2007, Proceedings (Lecture Notes in Computer Science)
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback
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ASIN: 3540742395 |
Book Description
This book constitutes the refereed proceedings of the 16th International Symposium Fundamentals of Computation Theory, FCT 2007, held in Budapest, Hungary in August 2007.
The 39 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 147 submissions. The papers address all current topics in computation theory such as automata and formal languages, design and analysis of algorithms, computational and structural complexity, semantics, logic, algebra and categories in computer science, circuits and networks, learning theory, specification and verification, parallel and distributed systems, concurrency theory, cryptography and cryptograhic protocols, approximation and randomized algorithms, computational geometry, quantum computation and information, bio-inspired computation.
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Laser Fundamentals: Part 1 (Landolt-Bornstein: Numerical Data and Functional Relationships in Science and Technology - New Series)
Manufacturer: Springer
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Binding: Hardcover
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ASIN: 3540443797 |
Book Description
The three volumes VIII/1A, B, C document the state of the art of "Laser Physics and Applications". Scientific trends and related technological aspects are considered by compiling results and conclusions from phenomenology, observation and experience. Reliable data, physical fundamentals and detailed references are presented.
In the recent decades the laser beam source matured to a universal tool common to scientific research as well as to industrial use. Today a technical goal is the generation of optical power towards shorter wavelengths, shorter pulses and higher power for application in science and industry. Tailoring the optical energy in wavelength, space and time is a requirement for the investigation of laser-induced processes, i.e. excitation, non-linear amplification, storage of optical energy, etc. According to the actual trends in laser research and development, Vol. VIII/1 is split into three parts: Vol. VIII/1A with its two subvolumes 1A1 and 1A2 covers laser fundamentals, Vol. VIII/1B deals with laser systems and Vol. VIII/1C gives an overview on laser applications.
Book Description
Corneille's masterpiece: a tragic lovers' tale that explores the conflict between duty and love
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Pierre Corneille, Le Cid (Etudes litteraires)
Alain Couprie
Manufacturer: Presses universitaires de France
ProductGroup: Book
Binding: Unknown Binding
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ASIN: 2130423507 |
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Le Cid
Pierre Corneille
Manufacturer: librairie larousse
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Une Tempete
ASIN: 2030342866 |
Product Description
Corneille's masterpiece: a tragic lovers' tale that explores the conflict between duty and love.
Product Description
Book is a combination of English and French. This book has a 24 page vocabulary list tranlsating the French words to English words. This edition of "Le Cid" aims especially at emphasizing its literary significance. For this reason it contains the articles written by Corneille in answer to his critics, and in which he judges his own work.
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L'Illusion comique et le Cid
Corneille
Manufacturer: STFM Société des textes
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ASIN: 2865032329 |
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