A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.
This second edition of the fully revised and updated From Photon to Pixel presents essential elements in modern digital photographic devices. Our universal infatuation with photography profoundly affects its usage and development. While some sides of photographic “culture” remain wholly unchanged – art photography, journalistic and advertising photography, scientific photography, etc. – new facets emerge: leisure or travel photography, everyday life photography, anecdotal, observational or unusual photography, and microcosm, or micro-community, photography with its culmination in the narcissistic selfie. These new forms combine an often simplified manner of photographing and modern means of instantaneous, remote and mass communication. This book does not extend into the sociological study of photography, instead it explains how the digital camera works by examining in detail each of the components that constitutes it to provide the reader with a preliminary guide into the inner workings of this device.
The aim of this book is to propose a new approach to analysis and control of linear time-varying systems. These systems are defined in an intrinsic way, i.e., not by a particular representation (e.g., a transfer matrix or a state-space form) but as they are actually. The system equations, derived, e.g., from the laws of physics, are gathered to form an intrinsic mathematical object, namely a finitely presented module over a ring of operators. This is strongly connected with the engineering point of view, according to which a system is not a specific set of equations but an object of the material world which can be described by equivalent sets of equations. This viewpoint makes it possible to formulate and solve efficiently several key problems of the theory of control in the case of linear time-varying systems. The solutions are based on algebraic analysis. This book, written for engineers, is also useful for mathematicians since it shows how algebraic analysis can be applied to solve engineering problems. Henri Bourlès is a Professor and holds the industrial automation chair at the Conservatoire national des arts et métiers in France. He has been teaching automation for over 20 years in engineering and graduate schools. Bogdan Marinescu is currently research engineer at the French Transmission System Operator (RTE) and Associate Professor at SATIE-Ecole Normale Supérieure de Cachan.
Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory. The subsequent chapters deal with more miscellaneous subjects.
Cumulenes are organic molecules with two or more cumulative (consecutive) double bonds. Their reactions often proceed at room temperature, with or without a catalyst, and are stereospecific, giving the reaction products in high yields – features characteristic of “click reactions”. Cumulenes in Click Reactions presents a comprehensive list of cumulene systems and their reactions, with an emphasis on their “click-like” nature. The chapters are structured according to the number of carbon atoms in the system, including coverage of: introduction to the chemistry of cumulenes one-carbon cumulenes: sulfines, sulfenes, thiocarbonyl S-imides, thiocarbonyl S-sulfides, and 1-aza-2-azoniaallene salts two-carbon cumulenes: carbon oxides, carbon sulfides, carbon nitrides (isocyanates, isothiocyanates, and carbodiimides), phosphaallenes, and diarsaallenes 1,2-dicarbon cumulenes: ketenes, thioketenes, ketenimines, 1-silaallenes, 1-phosphaallenes, and other metal allenes 1,3-dicarbon cumulenes: thiocarbonyl S-ylides, 2-azaallenium salts, 1-oxa-3-azoniabutatriene salts, 1-thia-3-azoniabutatriene salts, and phosphorous ylides 1,2,3-tricarbon cumulenes: allenes, butatrienes, higher cumulenes and heterobutatrienes noncarbon cumulenes: azides, triazaallenium salts, sulfur oxides, sulfur nitrides, N-sulfinylamines, sulfurdiimides, and dithionitronium cation Cumulenes in Click Reactionsis an essential guide for researchers and advanced students in academia and research working in synthetic organic, inorganic and bioorganic chemistry.
The Complete Yule-Cordier Edition : Including the Unabridged Third Edition (1903) of Henry Yule's Annotated Translation, as Revised by Henri Cordier, Together with Cordier's Later Volume of Notes and Addenda (1920).
The Complete Yule-Cordier Edition : Including the Unabridged Third Edition (1903) of Henry Yule's Annotated Translation, as Revised by Henri Cordier, Together with Cordier's Later Volume of Notes and Addenda (1920).
A vast treasury of invaluable observations on the peoples and geography of the Near East and Asia in the 13th century. Detailed descriptions of cities, customs, laws, crops, animals, politicals, more.
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