Michael Reeken's Books

Nonstandard Analysis, Axiomatically

By: Vladimir Kanovei,Michael Reeken

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Nonstandard Analysis, Axiomatically

By: Vladimir Kanovei,Michael Reeken

In the aftermath of the discoveries in foundations of mathematiC's there was surprisingly little effect on mathematics as a whole. If one looks at stan dard textbooks in different mathematical disciplines, especially those closer to what is referred to as applied mathematics, there is little trace of those developments outside of mathematical logic and model theory. But it seems fair to say that there is a widespread conviction that the principles embodied in the Zermelo - Fraenkel theory with Choice (ZFC) are a correct description of the set theoretic underpinnings of mathematics. In most textbooks of the kind referred to above, there is, of course, no discussion of these matters, and set theory is assumed informally, although more advanced principles like Choice or sometimes Replacement are often mentioned explicitly. This implicitly fixes a point of view of the mathemat ical universe which is at odds with the results in foundations. For example most mathematicians still take it for granted that the real number system is uniquely determined up to isomorphism, which is a correct point of view as long as one does not accept to look at "unnatural" interpretations of the membership relation.

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Page Count

421

Publisher

Springer Science & Business Media

Published Date

ISBN 10

366208998X

ISBN 13

9783662089989

Lonely Planet French Phrasebook & Dictionary

By: Lonely Planet

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Lonely Planet French Phrasebook & Dictionary

By: Lonely Planet

Lonely Planet French Phrasebook & Dictionary is your handy passport to culturally enriching travels with the most relevant and useful French phrases and vocabulary for all your travel needs. Ask about tucked-away vineyards, bargain with local farmers at the market or order wine like a professional; all with your trusted travel companion. With language tools in your back pocket, you can truly get to the heart of wherever you go, so begin your journey now! Get More From Your Trip with Easy-to-Find Phrases for Every Travel Situation! Feel at ease with essential tips on culture, manners, idioms and multiple meanings Order with confidence, explain food allergies, and try new foods with the menu decoder Save time and hassles with vital phrases at your fingertips Never get stuck for words with the 3500-word two-way, quick-reference dictionary Be prepared for both common and emergency travel situations with practical phrases and terminology Meet friends with conversation starter phrases Get your message across with easy-to-use pronunciation guides Inside Lonely Planet French Phrasebook & Dictionary: Full-colour throughout User-friendly layout organised by travel scenario categories Survival phrases inside front cover for at-a-glance on-the-fly cues Covers Basics - time, dates, numbers, amounts, pronunciation, reading tips, grammar rules Practical - travel with kids, disabled travellers, sightseeing, business, banking, post office, internet, phones, repairs, bargaining, accommodation, directions, border crossing, transport Social - meeting people, interests, feelings, opinions, going out, romance, culture, activities, weather Safe Travel - emergencies, police, doctor, chemist, dentist, symptoms, conditions Food - ordering, at the market, at the bar, dishes, ingredients The Perfect Choice: Lonely Planet French Phrasebook & Dictionary , a pocket-sized comprehensive language guide, provides on-the-go language assistance; great for language students and travellers looking to interact with locals and immerse themselves in local culture. About Lonely Planet: Started in 1973, Lonely Planet is the world's leading travel guide publisher with guidebooks to every destination on the planet, and has been connecting travellers and locals for over 25 years with phrasebooks for 120 languages, more than any other publisher! With an award-winning website, a suite of mobile and digital travel products, and a dedicated traveller community, Lonely Planet enables curious travellers to experience the world and to truly get to the heart of the places they find themselves.

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Page Count

271

Publisher

Lonely Planet

Published Date

ISBN 10

1788686306

ISBN 13

9781788686303

Intelligent Skins

By: Michael Wigginton,Jude Harris

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Intelligent Skins

By: Michael Wigginton,Jude Harris

Looking to the future, Intelligent Skins sets out the principles for the design of the intelligent building envelope. It highlights an exciting new approach to the area, where the fabric of the building responds to external changes and internal demands. The prime objective is to control internal environments through a responsive building fabric rather than by energy consuming building services systems. The authors examine the potential for integral intelligence within the fabric of the building and explore the evolution of information technology and smart materials which have allowed a whole new category of design principles to be created.

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Page Count

188

Publisher

Routledge

Published Date

ISBN 10

1136394850

ISBN 13

9781136394850

Restoring Christ's Church

John a Lasco and the Forma ac ratio

By: Michael S. Springer

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Restoring Christ's Church

John a Lasco and the Forma ac ratio

By: Michael S. Springer

This book examines the struggle for Protestant consensus and unity through the work of John a Lasco (1499-1560). It is only in recent years that scholars have begun to recognize the importance of Lasco as one of the leading figures of the European Reformation, and a pivotal figure between Lutheran and Reformed theologians. The Polish reformer was among the most dynamic church organizers of the sixteenth century, dedicated to healing the divisions among evangelicals and searching for the key to Protestant unity in the example of the Apostolic Church. It was to this end that he published the Forma ac ratio in 1555, a work that recorded the rites and practices of the London Strangers' Church (of which he had been the first superintendent) and to provide a model for uniting the disparate Protestant communities on the Continent. Although some recent works have focused on aspects of Lasco's early career in Germany and England, this is the first book to provide a comprehensive analysis of the Forma ac ratio, and the reformer's reasons for writing it. This study also puts Lasco's distinct model for Protestant churches into the wider European context and assesses his impact on the struggle for unity through an examination of his correspondence, the reaction to his writings, and his influence on Protestant congregations across Europe.

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Page Count

182

Publisher

Routledge

Published Date

ISBN 10

1317064623

ISBN 13

9781317064626

Comrades Betrayed

Jewish World War I Veterans under Hitler

By: Michael Geheran

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Comrades Betrayed

Jewish World War I Veterans under Hitler

By: Michael Geheran

At the end of 1941, six weeks after the mass deportations of Jews from Nazi Germany had begun, Gestapo offices across the Reich received an urgent telex from Adolf Eichmann, decreeing that all war-wounded and decorated Jewish veterans of World War I be exempted from upcoming "evacuations." Why this was so, and how Jewish veterans at least initially were able to avoid the fate of ordinary Jews under the Nazis, is the subject of Comrades Betrayed. Michael Geheran deftly illuminates how the same values that compelled Jewish soldiers to demonstrate bravery in the front lines in World War I made it impossible for them to accept passively, let alone comprehend, persecution under Hitler. After all, they upheld the ideal of the German fighting man, embraced the fatherland, and cherished the bonds that had developed in military service. Through their diaries and private letters, as well as interviews with eyewitnesses and surviving family members and records from the police, Gestapo, and military, Michael Geheran presents a major challenge to the prevailing view that Jewish veterans were left isolated, neighborless, and having suffered a social death by 1938. Tracing the path from the trenches of the Great War to the extermination camps of the Third Reich, Geheran exposes a painful dichotomy: while many Jewish former combatants believed that Germany would never betray them, the Holocaust was nonetheless a horrific reality. In chronicling Jewish veterans' appeal to older, traditional notions of comradeship and national belonging, Comrades Betrayed forces reflection on how this group made use of scant opportunities to defy Nazi persecution and, for some, to evade becoming victims of the Final Solution.

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Page Count

313

Publisher

Cornell University Press

Published Date

ISBN 10

1501751034

ISBN 13

9781501751035

The Complete Book of Billiards

By: Mike Shamos,Michael Ian Shamos

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The Complete Book of Billiards

By: Mike Shamos,Michael Ian Shamos

A complete reference guide to the rules, equipment, and terminology of billiards and all associated cue games.

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Page Count

324

Publisher

Gramercy

Published Date

ISBN 10

0517208695

ISBN 13

9780517208694

Nonstandard Analysis, Axiomatically

By: Vladimir Grigorʹevich Kanoveĭ,Michael Reeken

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Nonstandard Analysis, Axiomatically

By: Vladimir Grigorʹevich Kanoveĭ,Michael Reeken

The book is devoted to nonstandard set theories that serve as foundational basis for nonstandard mathematics. Several popular and some less known nonstandard theories are considered, including internal set theory IST, Hrbacek set theory HST, and others. The book presents the basic structure of the set universe of these theories and methods to effectively develop "applied" nonstandard analysis, metamathematical properties and interrelations of these nonstandard theories between each other and with ZFC and some variants of ZFC, foundational problems of the theories, including the problem of external sets and the Power Set problem, and methods of their solution. The book is oriented towards a reader having some experience in foundations (set theory, model theory) and in nonstandard analysis.

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Page Count

440

Publisher

Springer Science & Business Media

Published Date

ISBN 10

354022243X

ISBN 13

9783540222439

Book's by Michael Reeken

Nonstandard Analysis, Axiomatically

Nonstandard Analysis, Axiomatically

Lonely Planet French Phrasebook & Dictionary

Lonely Planet French Phrasebook & Dictionary

Intelligent Skins

Intelligent Skins

Restoring Christ's Church

Restoring Christ's Church

Comrades Betrayed

Comrades Betrayed

The Complete Book of Billiards

The Complete Book of Billiards

Nonstandard Analysis, Axiomatically

Nonstandard Analysis, Axiomatically

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