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Reflections on the Foundations of Mathematics, Stefania Centrone; Deborah Kant; Deniz Sarikaya


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Автор: Stefania Centrone; Deborah Kant; Deniz Sarikaya   (Стефания Сентрон)
Название:  Reflections on the Foundations of Mathematics
Перевод названия: Стефания Сентрон: Размышления об основах математики
ISBN: 9783030156541
Издательство: Springer
Классификация:



ISBN-10: 3030156540
Обложка/Формат: Hardcover
Страницы: 494
Вес: 0.95 кг.
Дата издания: 2019
Серия: Synthese Library
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 26 illustrations, black and white; xxviii, 492 p. 26 illus.
Размер: 234 x 156 x 29
Читательская аудитория: Professional & vocational
Основная тема: Philosophy
Подзаголовок: Univalent Foundations, Set Theory and General Thoughts
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundation in mathematics and philosophical reflections around the mathematical perspectives.The volume is divided into three sections, the first two of which focus on the two most prominent candidate theories for a foundation of mathematics. Readers may trace current research in set theory, which has widely been assumed to serve as a framework for foundational issues, as well as new material elaborating on the univalent foundations, considering an approach based on homotopy type theory (HoTT). The third section then builds on this and is centred on philosophical questions connected to the foundations of mathematics. Here, the authors contribute to discussions on foundational criteria with more general thoughts on the foundations of mathematics which are not connected to particular theories.This book shares the work of some of the most important scholars in the fields of set theory (S. Friedman), non-classical logic (G. Priest) and the philosophy of mathematics (P. Maddy). The reader will become aware of the advantages of each theory and objections to it as a foundation, following the latest and best work across the disciplines and it is therefore a valuable read for anyone working on the foundations of mathematics or in the philosophy of mathematics.
Дополнительное описание:
Part I: Current Challenges for the Set Theoretic Foundations.- 1. Neil Barton and Sy-David Friedman: Does set theory need an apology?.- 2. Laura Fontanella: The choice of new axioms in set theory.- 3. Mich?le Friend: Pluralism in Foundations of Mathe



Quarks, Leptons and the Big Bang, Third Edition

Автор: Allday
Название: Quarks, Leptons and the Big Bang, Third Edition
ISBN: 1498773117 ISBN-13(EAN): 9781498773119
Издательство: Taylor&Francis
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Цена: 7348.00 р.
Наличие на складе: Заказано в издательстве.

Описание:

CHOICE: Highly Recommended

Quarks, Leptons and The Big Bang, Third Edition, is a clear, readable and self-contained introduction to particle physics and related areas of cosmology. It bridges the gap between non-technical popular accounts and textbooks for advanced students. The book concentrates on presenting the subject from the modern perspective of quarks, leptons and the forces between them. This book will appeal to students, teachers and general science readers interested in fundamental ideas of modern physics. This edition brings the book completely up to date by including advances in particle physics and cosmology, such as the discovery of the Higgs boson, the LIGO gravitational wave discovery and the WMAP and PLANCK results.

Fat chance :

Автор: Gross, Benedict H.,
Название: Fat chance :
ISBN: 1108728189 ISBN-13(EAN): 9781108728188
Издательство: Cambridge Academ
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Цена: 3802.00 р.
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Описание: Designed for the intellectually curious, this book provides a solid foundation in basic probability theory in a charming style, without technical jargon. This text will immerse the reader in a mathematical view of the world, and teach them techniques to solve real-world problems both inside and outside the casino.

Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)

Автор: Gillies
Название: Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)
ISBN: 0415668743 ISBN-13(EAN): 9780415668743
Издательство: Taylor&Francis
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Цена: 8573.00 р.
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Описание: First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic.

Kurt G?del and the Foundations of Mathematics

Автор: Baaz
Название: Kurt G?del and the Foundations of Mathematics
ISBN: 1107677998 ISBN-13(EAN): 9781107677999
Издательство: Cambridge Academ
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Цена: 9821.00 р.
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Описание: This volume commemorates the life, work and foundational views of Kurt Goedel by exploring the impact of his work on current research and its future implications not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science.

Foundations of Mathematics

Автор: Stewart Ian
Название: Foundations of Mathematics
ISBN: 0198706448 ISBN-13(EAN): 9780198706441
Издательство: Oxford Academ
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Цена: 10930.00 р.
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Описание: The transition from school to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. This book bridges the divide.

Reflections: The Magic, Music and Mathematics of Raymond Smullyan

Автор: Smullyan Raymond
Название: Reflections: The Magic, Music and Mathematics of Raymond Smullyan
ISBN: 9814644587 ISBN-13(EAN): 9789814644587
Издательство: World Scientific Publishing
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Цена: 8554.00 р.
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Описание: This is an exciting if not rambling account of events of Raymond Smullyan`s four lives - as a mathematical logician, musician, magician, and author - together with thoughts that come to his mind as he recalls them.

Problem-Solving Strategies In Mathematics: From Common Approaches To Exemplary Strategies

Автор: Posamentier Alfred S Et Al
Название: Problem-Solving Strategies In Mathematics: From Common Approaches To Exemplary Strategies
ISBN: 981465163X ISBN-13(EAN): 9789814651639
Издательство: World Scientific Publishing
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Цена: 3168.00 р.
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Описание: This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics.

The Mathematics That Power Our World, The: How Is It Made?

Автор: Lamothe Gilles, Khoury Joseph
Название: The Mathematics That Power Our World, The: How Is It Made?
ISBN: 9813144084 ISBN-13(EAN): 9789813144088
Издательство: World Scientific Publishing
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Цена: 3643.00 р.
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Описание:

The Mathematics That Power Our World: How Is It Made? is an attempt to unveil the hidden mathematics behind the functioning of many of the devices we use on a daily basis. For the past years, discussions on the best approach in teaching and learning mathematics have shown how much the world is divided on this issue. The one reality we seem to agree on globally is the fact that our new generation is lacking interest and passion for the subject. One has the impression that the vast majority of young students finishing high school or in their early post-secondary studies are more and more divided into two main groups when it comes to the perception of mathematics. The first group looks at mathematics as a pure academic subject with little connection to the real world. The second group considers mathematics as a set of tools that a computer can be programmed to use and thus, a basic knowledge of the subject is sufficient. This book serves as a middle ground between these two views. Many of the elegant and seemingly theoretical concepts of mathematics are linked to state-of-the-art technologies. The topics of the book are selected carefully to make that link more relevant. They include: digital calculators, basics of data compression and the Huffman coding, the JPEG standard for data compression, the GPS system studied both from the receiver and the satellite ends, image processing and face recognition.

This book is a great resource for mathematics educators in high schools, colleges and universities who want to engage their students in advanced readings that go beyond the classroom discussions. It is also a solid foundation for anyone thinking of pursuing a career in science or engineering. All efforts were made so that the exposition of each topic is as clear and self-contained as possible and thus, appealing to anyone trying to broaden his mathematical horizons.

Recursion Theory: Computational Aspects of Definability

Автор: Chi Tat Chong, Liang Yu
Название: Recursion Theory: Computational Aspects of Definability
ISBN: 3110275554 ISBN-13(EAN): 9783110275551
Издательство: Walter de Gruyter
Цена: 20712.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory.The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.

Do I Count?

Автор: Ziegler
Название: Do I Count?
ISBN: 1466564911 ISBN-13(EAN): 9781466564916
Издательство: Taylor&Francis
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Цена: 5205.00 р.
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Описание:

The subject of mathematics is not something distant, strange, and abstract that you can only learn about--and often dislike--in school. It is in everyday situations, such as housekeeping, communications, traffic, and weather reports. Taking you on a trip into the world of mathematics, Do I Count? Stories from Mathematics supposedly describes the people behind the numbers and the places where mathematics is made.

Written by disreputable scientist and pretentious storyteller G nter M. Ziegler and translated by Thomas von Foerster, the book presents mathematics and mathematicians in a manner that you have not previously encountered. It guides you on a scenic tour through the field, pointing out which beds were useful in constructing which theorems and which notebooks list the prizes for solving particular problems. Forgoing esoteric areas, the text relates mathematics to celebrities, history, travel, politics, science and technology, weather, clever puzzles, and the future.

  • Can bees count? What do you think
  • Is 13 bad luck?
  • Are there equations for everything?
  • What's the real practical value of the Pythagorean Theorem?
  • Are there Sudoku puzzles with fewer than 17 entries and just one solution?
  • Where and how do mathematicians work?
  • Who invented proofs and why do we need them?
  • Why is there no Nobel Prize for mathematics?
  • What kind of life did Paul Erdős lead?

Find out the answers to these and other questions in this entertaining book of stories. You'll see that everyone counts, but no computation is needed. But then again why not buy a better book?

Mathematical Card Magic

Автор: Mulcahy
Название: Mathematical Card Magic
ISBN: 1466509767 ISBN-13(EAN): 9781466509764
Издательство: Taylor&Francis
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Цена: 5817.00 р.
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Описание:

Mathematical card effects offer both beginning and experienced magicians an opportunity to entertain with a minimum of props. Featuring mostly original creations, Mathematical Card Magic: Fifty-Two New Effects presents an entertaining look at new mathematically based card tricks.

Each chapter contains four card effects, generally starting with simple applications of a particular mathematical principle and ending with more complex ones. Practice a handful of the introductory effects and, in no time, you'll establish your reputation as a "mathemagician." Delve a little deeper into each chapter and the mathematics gets more interesting. The author explains the mathematics as needed in an easy-to-follow way. He also provides additional details, background, and suggestions for further explorations.

Suitable for recreational math buffs and amateur card lovers or as a text in a first-year seminar, this color book offers a diverse collection of new mathemagic principles and effects.

Problem-Solving Strategies in Mathematics: From Common Approaches to Exemplary Strategies

Автор: Posamentier Alfred S., Krulik Stephen
Название: Problem-Solving Strategies in Mathematics: From Common Approaches to Exemplary Strategies
ISBN: 9814651621 ISBN-13(EAN): 9789814651622
Издательство: World Scientific Publishing
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Цена: 7128.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics.


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