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Topics in Galois Fields

Provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields. We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm.

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Topics in Elementary Geometry

This small book has for a long time been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, Poncelet's polygons, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained in this classical field over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating. In a small space the author provides many thought-provoking ideas.

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Topics in dynamic model analysis : Advanced matrix methods and unit-root econometrics representation theorems

Classical econometrics - which plunges its roots in economic theory with simultaneous equations models (SEM) as offshoots - and time series econometrics - which stems from economic data with vector autoregr- sive (VAR) models as offsprings - scour, like the Janus's facing heads, the flowing of economic variables so as to bring to the fore their autonomous and non-autonomous dynamics. It is up to the so-called final form of a dy­ namic SEM, on the one hand, and to the so-called representation theorems of (unit-root) VAR models, on the other, to provide informative closed form expressions for the trajectories, or time paths, of the economic vari­ ables of interest.

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Topics in Discrete Mathematics : Dedicated to Jarik Nešetril on the Occasion of his 60th birthday

Leading experts have contributed survey and research papers in the areas of Algebraic Combinatorics, Combinatorial Number Theory, Game theory, Ramsey Theory, Graphs and Hypergraphs, Homomorphisms, Graph Colorings and Graph Embeddings.

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Topics in Dental Biochemistry

Provides the necessary basic scientific background for a clearer understanding of bone, tooth, saliva, and surrounding soft tissue research and also for an appreciation of how dental caries and periodontal disease might be better diagnosed and controlled in the future.

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Topics in cryptology - CT-RSA 2008 ; The cryptographers’ track at the RSA Conference 2008, San Francisco, CA, USA, April 8-11, 2008. Proceedings

This book includes : hash function cryptanalysis, cryptographic building blocks, fairness in secure computation, message authentication codes, improved aes implementations, public key encryption with special properties, side channel cryptanalysis, cryptography for limited devices, invited talk, key exchange, cryptanalysis, and cryptographic protocols.

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Topics in cryptology – CT-RSA 2007 ; The cryptographers' track at the RSA Conference 2007, San Fancisco, CA, USA, February 5-9, 2007, Proceedings

This book constitutes the refereed proceedings of the Cryptographers' Track at the RSA Conference 2007, CT-RSA 2007, held in San Francisco, CA, USA in February 2007. The 25 revised full papers presented together with two invited papers were carefully reviewed and selected from 73 submissions which cover all the topics of cryptography. The papers are organized in topical sections.

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Topics in cryptology -- CT-RSA 2006 ; The cryptographers' track at the RSA Conference 2006, San Jose, CA, USA, February 13-17, 2005, Proceedings

This book constitutes the refereed proceedings of the Cryptographers’ Track at the RSA Conference 2006,held in San Jose, CA, USA, February 13-17, 2005. The RSA R Conference, with over 15,000attendees, as well as over 225 sponsors and exhibitors, is the largest computer security event of the year. The Cr- tographers’ Track is one of the many parallel tracks. These proceedings contain the papers presented during the sixth edition. The tradition indeed started in 2001, and is by now well established: the Cryptographers’ Track at the RSA Conference is among the major events in cryptography. There were 72 submitted contributions, of which 22 were selected for p- sentation. They cover all aspects of cryptography (symmetric and asymmetric cryptography, constructions and attacks, new trends).

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Topics in cryptology -- CT-RSA 2005 ; The cryptographers' track at the RSA Conference 2005, San Francisco, CA, USA, February 14-18, 2005, Proceedings

This book constitutes the refereed proceedings of the Cryptographers Track at the RSA Conference 2005, CT-RSA 2005, held in San Francisco, CA, USA in February 2005. The 23 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 74 submissions. The papers are organized in topical sections on cryptanalysis, public key encryption, signature schemes, design principles, password-based protocols, pairings, and efficient and secure implementations.

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Topics in Cohomological Studies of Algebraic Varieties : Impanga Lecture Notes

The articles in this volume study various cohomological aspects of algebraic varieties: characteristic classes of singular varieties / geometry of flag varieties / cohomological computations for homogeneous spaces / K-theory of algebraic varieties / quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research.

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Topics in Banach Space Theory

Assuming only a basic knowledge of functional analysis, the book gives the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions.

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Topics in Atomic Physics

The study of atomic physics propelled us into the quantum age in the early twentieth century and carried us into the twenty-first century with a wealth of new and, in some cases, unexplained phenomena. Topics in Atomic Physics provides a foundation for students to begin research in modern atomic physics. It can also serve as a reference because it contains material that is not easily located in other sources

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Topics in Applied Macrodynamic Theory

This book presents topics in applied dynamic macrotheory for closed and open economies. The authors give an advanced treatment of macroeconomic topics such as the Phillips curve, forward and backward looking behavior, open economy macrodynamics, structural macroeconometric model building as well as the empirics of Keynesian oriented macro models. They start from the closed economy and consider open economies for fixed and flexible exchange rate systems with free international capital flows later on. The dynamics of open economies in the context of interacting two country models are treated as well. The macrofounded approach extends and integrates non-market-clearing traditions in macrodynamics. It is compared to New Keynesian approaches which are generally rigorously microfounded, but often neglect to study macroeconomic feedback mechanisms (that may be stabilizing or destabilizing).

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Topics in Analysis and its Applications

Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating at the boundary, the Cauchy-Pompeiu representation in L2 space, strongly singular operators of Calderon-Zygmund type, quadrature solutions to initial and boundary-value problems, the Dirichlet problem, operator theory, tomography, elastic displacements and stresses, quantum chaos, and periodic wavelets.

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Topics in Almost Automorphy

The range of applications include at present linear and nonlinear evolution equations, integro-differential and functional-differential equations, dynamical systems, etc...It has become imperative to take a bearing of the main steps of the the­ ory. That is the main purpose of this monograph. It is intended to inform the reader and pave the road to more research in the field. It is not a self contained book.

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Topics in Acoustic Echo and Noise Control : Selected Methods for the Cancellation of Acoustical Echoes, the Reduction of Background Noise, and Speech Processing

In this book, an international team of highly qualified experts treats important topics in acoustic echo and noise control and reports the latest developments. Methods for enhancing the quality of speech signals are gaining growing attention in universities and in industrial development laboratories.

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Topics and Methods in Condensed Matter Theory : From Basic Quantum Mechanics to the Frontiers of Research

In this book a variety of many-body phenomena in condensed matter are discussed, with special attention paid to the understanding of strong correlation effects. the mathematical treatments are explained in enough detail to be followed easily. Proofs of all the relevant theorems are provided, but the main emphasis is always on the physical meaning or applicability of the results. Many examples are provided for illustration and also serve as worked problems.

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Topical treatments of skin infection

A hospital-acquired infection, also known as a nosocomial infection, is an infection that is usually transmitted after hospitalization and appears within 48 hours of hospitalization. Bacteria, fungi, and viruses can cause deep infections in healthcare. Bacteria alone cause about 90 percent of these cases, and there are many types of HAI including SSI, which is defined as an infection that occurs up to 30 days after surgery and affects either the incision or the deeper tissues in the operation...

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Topic and Focus : Cross-Linguistic Perspectives on Meaning and Intonation

This book contains a collection of papers exploring the cross-linguistic expression of topic and focus. A diverse set of perspectives from some of the leading scholars in the areas of semantics and intonation are represented in the collection.

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Top Quark Physics at Hadron Colliders

More than ten years after its discovery, still relatively little is known about the top quark, the heaviest known elementary particle. The present extensive survey summarizes and reviews top-quark physics based on the precision measurements at the Fermilab Tevatron Collider, as well as the sensitivity of these experiments to new physics. Finally, an outlook on top quark physics at the Large Hadron Collider is given.

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