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Foundations of Constructive Mathematics, M.J. Beeson


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Автор: M.J. Beeson
Название:  Foundations of Constructive Mathematics
ISBN: 9783642689543
Издательство: Springer
Классификация: ISBN-10: 364268954X
Обложка/Формат: Paperback
Страницы: 466
Вес: 0.69 кг.
Дата издания: 18.11.2011
Серия: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Язык: English
Размер: 234 x 156 x 25
Основная тема: Mathematics
Подзаголовок: Metamathematical Studies
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book is about some recent work in a subject usually considered part of logic and the foundations of mathematics, but also having close connec- tions with philosophy and computer science. Namely, the creation and study of formal systems for constructive mathematics. The general organization of the book is described in the Users Manual which follows this introduction, and the contents of the book are described in more detail in the introductions to Part One, Part Two, Part Three, and Part Four. This introduction has a different purpose; it is intended to provide the reader with a general view of the subject. This requires, to begin with, an elucidation of both the concepts mentioned in the phrase, formal systems for constructive mathematics. Con- structive mathematics refers to mathematics in which, when you prove that l a thing exists (having certain desired properties) you show how to find it. Proof by contradiction is the most common way of proving something exists without showing how to find it - one assumes that nothing exists with the desired properties, and derives a contradiction. It was only in the last two decades of the nineteenth century that mathematicians began to exploit this method of proof in ways that nobody had previously done; that was partly made possible by the creation and development of set theory by Georg Cantor and Richard Dedekind.


Constructive Controversy

Автор: Johnson
Название: Constructive Controversy
ISBN: 1107461502 ISBN-13(EAN): 9781107461505
Издательство: Cambridge Academ
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Цена: 5386.00 р.
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Описание: Using the social psychological theory of `constructive controversy`, this book analyses the nature of disagreement among members of decision-making groups. It addresses questions such as: do differences of opinion enhance or obstruct creative thinking? And why do people make decisions based only on their own perspective without considering alternative viewpoints?

Constructive commutative algebra

Автор: Yengui, Ihsen
Название: Constructive commutative algebra
ISBN: 3319194933 ISBN-13(EAN): 9783319194936
Издательство: Springer
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Цена: 6288.00 р.
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Описание:

The main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem) and syzygies of multivariate polynomials with coefficients in a valuation ring.

Simple and constructive proofs of some results in the theory of projective modules over polynomial rings are also given, and light is cast upon recent progress on the Hermite ring and Gr bner ring conjectures. New conjectures on unimodular completion arising from our constructive approach to the unimodular completion problem are presented.

Constructive algebra can be understood as a first preprocessing step for computer algebra that leads to the discovery of general algorithms, even if they are sometimes not efficient. From a logical point of view, the dynamical evaluation gives a constructive substitute for two highly nonconstructive tools of abstract algebra: the Law of Excluded Middle and Zorn's Lemma. For instance, these tools are required in order to construct the complete prime factorization of an ideal in a Dedekind ring, whereas the dynamical method reveals the computational content of this construction. These lecture notes follow this dynamical philosophy.

From Perturbative to Constructive Renormalization

Автор: Rivasseau V.
Название: From Perturbative to Constructive Renormalization
ISBN: 0691608350 ISBN-13(EAN): 9780691608358
Издательство: Wiley
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Цена: 9821.00 р.
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Описание: The last decade has seen striking progress in the subject of renormalization in quantum field theory. The old subject of perturbative renormalization has been revived by the use of powerful methods such as multiscale decompositions; precise estimates have been added to the initial theorems on finiteness of renormalized perturbation theory, with new

Studies in Constructive Mathematics and Mathematical Logic

Автор: A. O. Slisenko
Название: Studies in Constructive Mathematics and Mathematical Logic
ISBN: 1489956328 ISBN-13(EAN): 9781489956323
Издательство: Springer
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Цена: 12157.00 р.
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Foundational Theories of Classical and Constructive Mathematics

Автор: Giovanni Sommaruga
Название: Foundational Theories of Classical and Constructive Mathematics
ISBN: 9400735618 ISBN-13(EAN): 9789400735613
Издательство: Springer
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Цена: 23058.00 р.
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Описание: Focusing on the foundations, this volume explores both classical and constructive mathematics. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time both subtle and more differentiated.

Essays in Constructive Mathematics

Автор: Harold M. Edwards
Название: Essays in Constructive Mathematics
ISBN: 1489990186 ISBN-13(EAN): 9781489990181
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Contents and treatment are fresh and very different from the standard treatmentsPresents a fully constructive version of what it means to do algebraThe exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader

Studies in Constructive Mathematics and Mathematical Logic Part 2

Автор: A. O. Slisenko
Название: Studies in Constructive Mathematics and Mathematical Logic Part 2
ISBN: 1489953299 ISBN-13(EAN): 9781489953292
Издательство: Springer
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Цена: 12157.00 р.
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Constructive Mathematics

Автор: F. Richman
Название: Constructive Mathematics
ISBN: 3540108505 ISBN-13(EAN): 9783540108504
Издательство: Springer
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Цена: 5583.00 р.
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Building Trust and Constructive Conflict Management in Organizations

Автор: Elgoibar
Название: Building Trust and Constructive Conflict Management in Organizations
ISBN: 3319314734 ISBN-13(EAN): 9783319314730
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book presents the most recent theoretical insights and practical intervention methods to (re)build trust between management and organized employees in organizations. Offering a multidisciplinary perspective on trust and conflict management in organizations, the book draws from diverse fields such as organizational psychology, business, law, industrial relations and sociology. It examines the often encountered breaches of trust between management and organized workers, and the resulting destructive social conflicts, social actions, strikes or dramatic business decisions. Its focus is on trust and conflict management at the organizational level in an industrial relations context: that of employee representatives and management. The book introduces a new theoretical approach: the Tree of Trust, designed to analyse and mediate the interconnected levels of trust and distrust in industrial relations. It presents case studies and practical recommendations to build trust and constructive conflict management in the organizations, and illustrates these by means of experiences from different countries around the globe.

Introduction to Algebraic and Constructive Quantum Field Theory

Автор: Baez John C., Segal Irving E., Zhou Zhengfang
Название: Introduction to Algebraic and Constructive Quantum Field Theory
ISBN: 0691605122 ISBN-13(EAN): 9780691605128
Издательство: Wiley
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Цена: 8712.00 р.
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Описание: The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here


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