Christian Lucas's Books

The Lucas Sequences

Theory and Applications

By: Christian J.-C. Ballot,Hugh C. Williams

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The Lucas Sequences

Theory and Applications

By: Christian J.-C. Ballot,Hugh C. Williams

Although the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because of the enormous number and variety of results involving them, revealed by Édouard Lucas between 1876 and 1880, that they are now named after him. Since Lucas’ early work, much more has been discovered concerning these remarkable mathematical objects, and the objective of this book is to provide a much more thorough discussion of them than is available in existing monographs. In order to do this a large variety of results, currently scattered throughout the literature, are brought together. Various sections are devoted to the intrinsic arithmetic properties of these sequences, primality testing, the Lucasnomials, some associated density problems and Lucas’ problem of finding a suitable generalization of them. Furthermore, their application, not only to primality testing, but also to integer factoring, efficient solution of quadratic and cubic congruences, cryptography and Diophantine equations are briefly discussed. Also, many historical remarks are sprinkled throughout the book, and a biography of Lucas is included as an appendix.Much of the book is not intended to be overly detailed. Rather, the objective is to provide a good, elementary and clear explanation of the subject matter without too much ancillary material. Most chapters, with the exception of the second and the fourth, will address a particular theme, provide enough information for the reader to get a feel for the subject and supply references to more comprehensive results. Most of this work should be accessible to anyone with a basic knowledge of elementary number theory and abstract algebra. The book’s intended audience is number theorists, both professional and amateur, students and enthusiasts.

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Page Count

312

Publisher

Springer Nature

Published Date

ISBN 10

3031372387

ISBN 13

9783031372384

What to Watch When

By: Christian Blauvelt,Laura Buller,Andrew Frisicano,Stacey Grant,Mark Morris,Drew Toal,Eddie Robson,Maggie Serota,Matthew Turner,Laurie Ulster

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What to Watch When

By: Christian Blauvelt,Laura Buller,Andrew Frisicano,Stacey Grant,Mark Morris,Drew Toal,Eddie Robson,Maggie Serota,Matthew Turner,Laurie Ulster

Answering the eternal question... WHAT TO WATCH NEXT? Looking for a box set to get your adrenaline racing or to escape to a different era? In need of a good laugh to lift your spirits? Hunting for a TV show that the whole family can watch together? If you're feeling indecisive about your next binge-watching session, we've done the hard work for you. Featuring 1,000 carefully curated reviews written by a panel of TV connoisseurs, What To Watch When offers up the best show suggestions for every mood and moment.

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Page Count

480

Publisher

Penguin

Published Date

ISBN 10

0744037905

ISBN 13

9780744037906

The Quest for a Universal Theory of Intelligence

The Mind, the Machine, and Singularity Hypotheses

By: Christian Hugo Hoffmann

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The Quest for a Universal Theory of Intelligence

The Mind, the Machine, and Singularity Hypotheses

By: Christian Hugo Hoffmann

Recent findings about the capabilities of smart animals such as corvids or octopi and novel types of artificial intelligence (AI), from social robots to cognitive assistants, are provoking the demand for new answers for meaningful comparison with other kinds of intelligence. This book fills this need by proposing a universal theory of intelligence which is based on causal learning as the central theme of intelligence. The goal is not just to describe, but mainly to explain queries like why one kind of intelligence is more intelligent than another, whatsoever the intelligence. Shiny terms like "strong AI," "superintelligence," "singularity" or "artificial general intelligence" that have been coined by a Babylonian confusion of tongues are clarified on the way.

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Page Count

293

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110756161

ISBN 13

9783110756166

Tropic of Chaos

Climate Change and the New Geography of Violence

By: Christian Parenti

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Tropic of Chaos

Climate Change and the New Geography of Violence

By: Christian Parenti

An investigative journalist visits the economically and politically battered post-colonial nations around the earth's mid-latitudes and reveals how extreme weather in the era of climate change is breeding banditry, humanitarian crises and state failure.

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Page Count

306

Publisher

Nation Books

Published Date

ISBN 10

1568586000

ISBN 13

9781568586007

Before Lewis and Clark

The Story of the Chouteaus, the French Dynasty That Ruled America's Frontier

By: Shirley Christian

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Before Lewis and Clark

The Story of the Chouteaus, the French Dynasty That Ruled America's Frontier

By: Shirley Christian

Before Lewis and Clark relates the extraordinary saga of the Chouteaus, the dynastic family that guarded the gates to the West for three generations. From their St. Louis base, the Chouteaus, patrician and French in their origins, made their fortunes along the two-thousand-mile length of the Missouri River. Led by the brothers Auguste and Pierre, the family not only engaged in land speculation, finance, and the fur trade but also acted as suppliers and advisers to expeditions and enterprises between the Mississippi River and the Rocky Mountains?including the famous expedition of Meriwether Lewis and William Clark from 1804 to 1806. This is the story of the Old World meeting the New, of the eastern United States discovering the West, and of a wealthy, powerful, charming, and manipulative family that dominated business and politics in the Louisiana Purchase territory before and after the Lewis and Clark expedition.

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Page Count

540

Publisher

U of Nebraska Press

Published Date

ISBN 10

0803225245

ISBN 13

9780803225244

Hydrolysis of Metal Ions

By: Paul L. Brown,Christian Ekberg

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Hydrolysis of Metal Ions

By: Paul L. Brown,Christian Ekberg

Filling the need for a comprehensive treatment that covers the theory, methods and the different types of metal ion complexes with water (hydrolysis), this handbook and ready reference is authored by a nuclear chemist from academia and an industrial geochemist. The book includes both cation and anion complexes, and approaches the topic of metal ion hydrolysis by first covering the background, before proceeding with an overview of the dissociation of water and then all different metal-water hydrolysis complexes and compounds. A must-have for scientists in academia and industry working on this interdisciplinary topic.

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Page Count

954

Publisher

John Wiley & Sons

Published Date

ISBN 10

3527330100

ISBN 13

9783527330102

Star Wars Made Easy

A Beginner's Guide to a Galaxy Far, Far Away

By: Christian Blauvelt

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Star Wars Made Easy

A Beginner's Guide to a Galaxy Far, Far Away

By: Christian Blauvelt

Don't know your Wookiees from your Wampas? If the Star Wars™ saga has you stumped, we've got your back. Star Wars Made Easy gives you everything you need to get you around the galaxy. Star Wars is a global phenomenon and the Force has truly reawakened. So where to start if you have never actually gotten around to watching the movies? Or if you find yourself dating an avid Star Wars fan? Or your kids keep asking you tricky questions about the dark side? Don't worry! We have you covered. Star Wars Made Easy is aimed at Star Wars novices who want to get up to speed and make sense of the Star Wars references that permeate modern culture. This book will answer questions about the movies, the Star Wars universe, and much more! © & TM 2017 LUCASFILM LTD. Used Under Authorization.

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Page Count

200

Publisher

Penguin

Published Date

ISBN 10

146547448X

ISBN 13

9781465474483

Cinema Alchemist

Designing Star Wars and Alien

By: Roger Christian

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Cinema Alchemist

Designing Star Wars and Alien

By: Roger Christian

For the first time, Oscar-winning production designer and director Roger Christian reveals his life story, from his earliest work in the British film industry to his breakthrough contributions on such iconic science fiction masterpieces as Star Wars, Alien and his own rediscovered Black Angel. This candid biography delves into his relationships with legendary figures, as well as the secrets of his greatest work. The man who built the lightsaber finally speaks!

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Page Count

378

Publisher

Titan Books (US, CA)

Published Date

ISBN 10

1785650858

ISBN 13

9781785650857

Dawn of the Golden Age

Northern Netherlandish Art, 1580-1620

By: Wouter T. Kloek,Rijksmuseum (Amsterdam, Pays-Bas).,Rijksmuseum (Netherlands),J. Bruyn,Hessel Miedema,Christian Schuckman

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Dawn of the Golden Age

Northern Netherlandish Art, 1580-1620

By: Wouter T. Kloek,Rijksmuseum (Amsterdam, Pays-Bas).,Rijksmuseum (Netherlands),J. Bruyn,Hessel Miedema,Christian Schuckman

Designed as a catalogue for an exhibition at the Rijksmuseum in 1994, this offers a survey of the paintings, drawings, prints, sculpture and applied art produced 1580-1620. The book contains five essays followed by a catalogue which reproduces work from the era along with data on the artists.

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Page Count

732

Publisher

Yale University Press

Published Date

ISBN 10

0300060165

ISBN 13

9780300060164

Structural Equation Modeling of Multiple Rater Data

By: Michael Eid,Christian Geiser,Tobias Koch

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Structural Equation Modeling of Multiple Rater Data

By: Michael Eid,Christian Geiser,Tobias Koch

The use of multiple raters can improve the validity of conclusions made on self- (and other) reports of emotions, attitudes, goals, and self-perceptions of personality. Yet analyzing these ratings requires special psychometric models that take into account the specific nature of these data. From leading authorities, this book offers the first comprehensive introduction to structural equation modeling (SEM) of multiple rater data. Rather than taking a one-size-fits-all approach, the book shows how the choice of a model should be guided by measurement design and purpose. Practical recommendations are provided for selecting suitable measurement designs, raters, and psychometric models. Models for different combinations of rater types and for cross-sectional as well as longitudinal research designs are described step by step, with a strong emphasis on the substantive meaning of the latent variables in the models. User-friendly features include equation boxes, application boxes, and a companion website with Mplus and lavaan code for the book’s examples.

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Page Count

379

Publisher

Guilford Publications

Published Date

ISBN 10

1462555721

ISBN 13

9781462555727

Density of Prime Divisors of Linear Recurrences

By: Christian Ballot

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Density of Prime Divisors of Linear Recurrences

By: Christian Ballot

A general density theory of the set of prime divisors of a certain family of linear recurring sequences with constant coefficients, a family which is defined for any order recursion, is built up from the work of Lucas, Laxton, Hasse, and Lagarias. In particular, in this theory the notion of the rank of a prime divisor as well as the notion of a Companion Lucas sequence (Lucas), the group associated with a given second-order recursion (Laxton), and the effective computation of densities (Hasse and Lagarias) are first combined and then generalized to any order recursion.

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Page Count

117

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821826107

ISBN 13

9780821826102

Book's by Christian Lucas

The Lucas Sequences

The Lucas Sequences

What to Watch When

What to Watch When

The Quest for a Universal Theory of Intelligence

The Quest for a Universal Theory of Intelligence

Tropic of Chaos

Tropic of Chaos

Before Lewis and Clark

Before Lewis and Clark

Hydrolysis of Metal Ions

Hydrolysis of Metal Ions

Star Wars Made Easy

Star Wars Made Easy

Cinema Alchemist

Cinema Alchemist

Dawn of the Golden Age

Dawn of the Golden Age

Structural Equation Modeling of Multiple Rater Data

Structural Equation Modeling of Multiple Rater Data

Density of Prime Divisors of Linear Recurrences

Density of Prime Divisors of Linear Recurrences

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