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A Course on Mathematical Logic

This is a short, distinctive, modern, and motivated introduction to mathematical logic for senior undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in knowing what logic is concerned with and who would like to learn Gödel’s incompleteness theorems should find this book particularly convenient. The treatment is thoroughly mathematical, and the entire subject has been approached like a branch of mathematics. Serious efforts have been made to make the book suitable for the classroom as well as for self-reading. The book does not strive to be a comprehensive encyclopedia of logic. Still, it gives essentially all the basic concepts and results in mathematical logic. The book prepares students to branch out in several areas of mathematics related to foundations and computability such as logic, axiomatic set theory, model theory, recursion theory, and computability.

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A Course in Microeconomic Theory

Offers a treatment of microeconomic theory - one that stresses the behavior of the individual actor in various institutional settings. This book begins with an exposition of the standard models of choice and the market. It is designed for the first-year graduate microeconomic theory course and is accessible to advanced undergraduates as well.

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A Course in Derivative Securities : Introduction to Theory and Computation

Aims at a middle ground between the introductory books on derivative securities and those that provide advanced mathematical treatments. It is written for mathematically capable students who have not necessarily had prior exposure to probability theory, stochastic calculus, or computer programming. It provides derivations of pricing and hedging formulas (using the probabilistic change of numeraire technique) for standard options, exchange options, options on forwards and futures, quanto options, exotic options, caps, floors and swaptions, as well as VBA code implementing the formulas. It also contains an introduction to Monte Carlo, binomial models, and finite-difference methods.

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A Course in Credibility Theory and its Applications

It covers the subject of Credibility Theory extensively and includes most aspects of this topic from the simplest case to the most general dynamic model. The first four chapters contain plenty of material The book therefore treats explicitly the tasks which the actuary encounters in his daily work such as estimation of loss ratios, claim frequencies and claim sizes. The models are worked out in detail (including the estimation of structural parameters) so that they can immediately be applied in practice. Most exercises are based on real insurance data and real situations from practice and many of them have the characteristics of a case study. The extension to practical problems arising from the general area of finance is often quite straightforward. This book deserves a place on the bookshelf of every actuary and mathematician who works, teaches or does research in the area of insurance and finance.for a first course on Credibility.

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A Course in Calculus and Real Analysis

Provides a self-contained and rigorous introduction to calculus of functions of one variable. The presentation and sequencing of topics emphasizes the structural development of calculus. At the same time, due importance is given to computational techniques and applications. The authors have strived to make a distinction between the intrinsic definition of a geometric notion and its analytic characterization. It highlight the fact that calculus provides a firm foundation to several concepts and results that are generally encountered in high school and accepted on faith. For example, one can find here a proof of the classical result that the ratio of the circumference of a circle to its diameter is the same for all circles. Also, this book helps get a clear understanding of the concept of an angle and the definitions of the logarithmic, exponential and trigonometric functions together with a proof of the fact that these are not algebraic functions. A number of topics that may have been inadequately covered in calculus courses and glossed over in real analysis courses are treated here in considerable detail. As such, this book provides a unified exposition of calculus and real analysis.

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A Concise Introduction to Mathematical Logic

This book is unique in that it is more concise than most others; the material is treated in a streamlined fashion. This allows the lecturer to select the material for a one-semester course on a topic more easily. These initial chapters cover just the material for an introductory course on mathematical logic combined with the necessary material from set theory. Chapter 3 is partly of a descriptive nature, providing a view towards decision problems, automated theorem proving, non-standard models and related subjects. The other chapters contain material on logic programming for computer scientists, model theory, recursion theory, Gödel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed where appropriate.

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A Concise Introduction to Data Compression

Compressing data is an option naturally selected when faced with problems of high costs or restricted space. Written by a renowned expert in the field, this book offers readers a succinct, reader-friendly foundation to the chief approaches, methods and techniques currently employed in the field of data compression.

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A concise guide to market research : The process, data, and methods using IBM SPSS Statistics, 3rd

Offers an easily accessible and comprehensive guide to the entire market research process, from asking market research questions to collecting and analyzing data by means of quantitative methods. It is intended for all readers who wish to know more about the market research process, data management, and the most commonly used methods in market research. The book helps readers perform analyses, interpret the results, and make sound statistical decisions using IBM SPSS Statistics. Hypothesis tests, ANOVA, regression analysis, principal component analysis, factor analysis, and cluster analysis, as well as essential descriptive statistics, are covered in detail.

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A Comprehensive Guide to Child Custody Evaluations : Mental Health and Legal Perspectives

A Comprehensive Guide to Child Custody Evaluations covers these three essential areas to walk readers through the evaluation process clearly and concisely. This unique interdisciplinary book emphasizes professional ethics, children’s psychological well-being, and clear communication among all parties as keys to resolving disputes with efficiency and thoroughness, and minimizing the chances of children and their families getting lost in red tape.

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A Comprehensible Universe : The Interplay of Science and Theology

Why is our world comprehensible? This question seems so trivial that few people have dared to ask it. In this book we explore the deep roots of the mystery of rationality. The inquiry into the rationality of the world began over two-and-a-half-thousand years ago, when a few courageous people tried to understand the world with the help of reason alone, rejecting the comforting fabric of myth and legend.

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A compendium of principles and practice of laser biophotonics in oral medicine

The application of photonics technologies and principles to medicine and life sciences is known as biophotonics. Laser is one of the most important inventions of the twentieth century in biophotonic technology. This book a concise but comprehensive body of information, written in a simple tone, attempting to cruise the readers' vision through every perspective, to seek objective information on all aspects of the instrument and its uses, fostering a preliminary step towards efficient laser diagnosis and therapy.

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A Companion to islamic art and architecture ; 2 Vol. Set : Blackwell companions to art history

Bridges the gap between monograph and survey text by providing a new level of access and interpretation to Islamic art. The more than 50 newly commissioned essays revisit canonical topics, and include original approaches and scholarship on neglected aspects of the field. showcases more than 50 specially commissioned essays and an introduction that survey Islamic art and architecture in all its traditional grandeurEssays are organized according to a new chronological-geographical paradigm that remaps the unprecedented expansion of the field and reflects the nuances of major artistic and political developments during the 1400-year span. Represents recent developments in the field, and encourages future horizons by commissioning innovative essays that provide fresh perspectives on canonical subjects, such as early Islamic art, sacred spaces, palaces, urbanism, ornament, arts of the book, and the portable arts while introducing others that have been previously neglected, including unexplored geographies and periods, transregional connectivities, talismans and magic, consumption and networks of portability, museums and collecting,

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A Companion to Contemporary Drawing

Textbook on the power, condition, and expanse of contemporary fine art drawing. his textbook: Demonstrates ways contemporary issues and concerns are addressed through drawing / Reveals how drawing is used to make powerful social and political statements / Situates works by contemporary practitioners within the context of their historical moment / Explores how contemporary art practices utilize drawing as both process and finished artifact / Shows how concepts of observation, representation, and audience have changed dramatically in the digital era / Establishes drawing as a mode of thought

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A companion to astronomy and astrophysics : Chronology and glossary with data tables

Astronomy and Astrophysics is a comprehensive, fundamental, up-to-date reference book. It is filled with vital information and basic facts for amateur astronomers and professional astrophysicists, and for anyone interested in the Universe, from the Earth and other planets to the stars, galaxies and beyond. Although serious and thorough, the language, and ideas will attract the general reader, as well as students and professionals. Astronomy and Astrophysics consists of two main parts, a Timeline and a Dictionary. The Timeline is a concise history, arranged chronologically, which provides the complete story of cosmic discovery from early Chinese and Greek astronomy to the latest findings of modern astrophysics and robotic spacecraft.

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A Common Consolidated Corporate Tax Base for Europe = Eine einheitliche Körperschaftsteuerbemessungsgrundlage für Europa

This book contains the proceedings of the International Tax Conference on the c- th th mon consolidated corporate tax base (CCCTB) that was held in Berlin Three panels of tax experts evaluated the common tax base with respect to structural elements, consolidation, allocation, international aspects and administration.

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A Closer Look at Antibiotic Resistance

Bacterial infections have become more difficult, and sometimes impossible, to treat due to antibiotic resistance, which occurs when bacteria develop the ability to defeat the available drugs designed to kill them. According to the Centers for Disease Control and Prevention, each year, 2 million Americans become sick with antibiotic-resistant infections, and of that, about 23,000 die. This book examines the challenges related to antibiotic resistance, the development and use of diagnostic testing to identify antibiotic resistance, the development of treatments for resistant infections, and appropriate antibiotic use.

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A Climate of Justice : An Ethical Foundation for Environmentalism

This book helps readers combine history, politics, and ethics to address the most pressing problem facing the world today: environmental survival. In A Climate of Justice, Marvin Brown connects the environmental crisis to basic questions of economic, social, and racial justice. Brown shows how our current social climate maintains systemic injustices, and he uncovers resources for change through a civic ethics of repair and reciprocity.

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A Classical Introduction to Cryptography Exercise Book

A Classical Introduction to Cryptography Exercise Book for A Classical Introduction to Cryptography: Applications for Communications Security covers a majority of the subjects that make up today's cryptology, such as symmetric or public-key cryptography, cryptographic protocols, design, cryptanalysis, and implementation of cryptosystems. Exercises do not require a large background in mathematics, since the most important notions are introduced and discussed in many of the exercises.

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A Classical Introduction to Cryptography : Applications for Communications Security

This advanced-level textbook covers conventional cryptographic primitives and cryptanalysis of these primitives; basic algebra and number theory for cryptologists; public key cryptography and cryptanalysis of these schemes; and other cryptographic protocols, e.g. secret sharing, zero-knowledge proofs and undeniable signature schemes.

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A Changing World : Challenges for Landscape Research

"Written primarily for researchers and advanced students in environmental and social sciences, this latest book in Springer’s Landscape Series looks at some of the emerging fields and new challenges in landscape research. These include: the role of value systems in perceiving, appreciating, and managing landscapes / the ‘space’ and ‘place’ concept in landscape research GIS and remote sensing techniques for gathering and processing spatially and temporally explicit land cover, vegetation, and land use data / methods of landscape history / landscape genetics and genetic methods to test landscape connectivity and dispersal of plant and animal species"

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