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Contemporary Mathematical Thinking, Patras


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Автор: Patras
Название:  Contemporary Mathematical Thinking
ISBN: 9783031275470
Издательство: Springer
Классификация:




ISBN-10: 3031275470
Обложка/Формат: Hardback
Страницы: 130
Вес: 0.38 кг.
Дата издания: 15.04.2023
Серия: Synthese Library
Язык: English
Издание: 1st ed. 2023
Иллюстрации: Vii, 130 p.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book deals with the evolution of mathematical thought during the 20th century. Representing a unique point of view combining mathematics, philosophy and history on this issue, it presents an original analysis of key authors, for example Bourbaki, Grothendieck and Husserl. As a product of 19th and early 20th century science, a canon of knowledge or a scientific ideology, mathematical structuralism had to give way. The succession is difficult, still in progress, and uncertain. To understand contemporary mathematics, its progressive liberation from the slogans of modern mathematics and the paths that remain open today, it is first necessary to deconstruct the history of this long dominant current. Another conception of mathematical thought emerged in the work of mathematicians such as Hilbert or Weyl, which went beyond the narrow epistemological paths of science in the making. In this tradition, mathematical thought was accompanied by a philosophical requirement. Modernity teaches us to revive it. The book is intended for a varied public: mathematicians concerned with understanding their discipline, philosophers of science, and the erudite public curious about the progress of mathematics.
Дополнительное описание: 1. Introduction.- 2. Style in Mathematics.- 3. From Plato to Husserl.- 4. The Origins of modern Mathematics.- 5. Axioms and Intuitions.- 6. The structuralist Current.- 7. Structures and Categories.- 8. The Homes of Thought.- 9. To the Meeting of Reality.-


Proofs and Refutations

Автор: Lakatos
Название: Proofs and Refutations
ISBN: 1107534054 ISBN-13(EAN): 9781107534056
Издательство: Cambridge Academ
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Цена: 22170.00 T
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Описание: Imre Lakatos`s influential and enduring work on the nature of mathematic discovery and development continues to be relevant to philosophers of mathematics. Including a specially commissioned preface written by Paolo Mancosu, and presented in a fresh twenty-first-century series livery, it is now available for a new generation of readers.

Prime Numbers and the Riemann Hypothesis

Автор: Mazur
Название: Prime Numbers and the Riemann Hypothesis
ISBN: 1107499437 ISBN-13(EAN): 9781107499430
Издательство: Cambridge Academ
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Цена: 25350.00 T
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Описание: This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.

Mathematical Puzzle Tales from Mount Olympus (AK Peters/CRC Recreational Mathematics) (1ST ed.)

Автор: Liu, Andy
Название: Mathematical Puzzle Tales from Mount Olympus (AK Peters/CRC Recreational Mathematics) (1ST ed.)
ISBN: 1032424184 ISBN-13(EAN): 9781032424187
Издательство: Taylor&Francis
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Цена: 23470.00 T
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Описание: This book uses fascinating tales from Greek Mythology as the background for introducing mathematics puzzles to the general public. A background in high school mathematics will be ample preparation for using this book, and it should appeal to anyone who enjoys puzzles and recreational mathematics.

Interative Methods for Solving Linear Systems

Автор: Anne Greenbaum
Название: Interative Methods for Solving Linear Systems
ISBN: 089871396X ISBN-13(EAN): 9780898713961
Издательство: Marston Book Services
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Цена: 88300.00 T
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Описание: Much recent research has concentrated on the efficient solution of large sparse or structured linear systems using iterative methods. A language loaded with acronyms for a thousand different algorithms has developed, and it is often difficult even for specialists to identify the basic principles involved. Here is a book that focuses on the analysis of iterative methods.

The author includes the most useful algorithms from a practical point of view and discusses the mathematical principles behind their derivation and analysis. Several questions are emphasized throughout: Does the method converge? If so, how fast? Is it optimal, among a certain class? If not, can it be shown to be near-optimal? The answers are presented clearly, when they are known, and remaining important open questions are laid out for further study. Greenbaum includes important material on the effect of rounding errors on iterative methods that has not appeared in other books on this subject.

Additional important topics include a discussion of the open problem of finding a provably near-optimal short recurrence for non-Hermitian linear systems; the relation of matrix properties such as the field of values and the pseudospectrum to the convergence rate of iterative methods; comparison theorems for preconditioners and discussion of optimal preconditioners of specified forms; introductory material on the analysis of incomplete Cholesky, multigrid, and domain decomposition preconditioners, using the diffusion equation and the neutron transport equation as example problems. A small set of recommended algorithms and implementations is included.


Metamathematics of First-Order Arithmetic

Автор: Petr Hajek
Название: Metamathematics of First-Order Arithmetic
ISBN: 1107168414 ISBN-13(EAN): 9781107168411
Издательство: Cambridge Academ
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Цена: 111620.00 T
Наличие на складе: Есть
Описание: This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness.

Hex, inside and out

Автор: Hayward, Ryan B.
Название: Hex, inside and out
ISBN: 0367144255 ISBN-13(EAN): 9780367144258
Издательство: Taylor&Francis
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Цена: 178640.00 T
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Описание: Written for a wide audience, this is the full story of Hex, inside and out, with all its twists and turns: Hein`s creation, Lindhard`s puzzles, Nash`s proofs, Gale`s Bridg-it, the game of Rex, Shannon`s machines, Bridg-it`s fall, Hex`s resilience, Hex theory, the hunt for winning strategies, and the rise of Hexbots.

Foolproof, and Other Mathematical Meditations

Автор: Hayes Brian
Название: Foolproof, and Other Mathematical Meditations
ISBN: 026203686X ISBN-13(EAN): 9780262036863
Издательство: MIT Press
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Цена: 28160.00 T
Наличие на складе: Нет в наличии.
Описание:

A non-mathematician explores mathematical terrain, reporting accessibly and engagingly on topics from Sudoku to probability.

Brian Hayes wants to convince us that mathematics is too important and too much fun to be left to the mathematicians. Foolproof, and Other Mathematical Meditations is his entertaining and accessible exploration of mathematical terrain both far-flung and nearby, bringing readers tidings of mathematical topics from Markov chains to Sudoku. Hayes, a non-mathematician, argues that mathematics is not only an essential tool for understanding the world but also a world unto itself, filled with objects and patterns that transcend earthly reality. In a series of essays, Hayes sets off to explore this exotic terrain, and takes the reader with him.

Math has a bad reputation: dull, difficult, detached from daily life. As a talking Barbie doll opined, "Math class is tough." But Hayes makes math seem fun. Whether he's tracing the genealogy of a well-worn anecdote about a famous mathematical prodigy, or speculating about what would happen to a lost ball in the nth dimension, or explaining that there are such things as quasirandom numbers, Hayes wants readers to share his enthusiasm. That's why he imagines a cinematic treatment of the discovery of the Riemann zeta function ("The year: 1972. The scene: Afternoon tea in Fuld Hall at the Institute for Advanced Study in Princeton, New Jersey"), explains that there is math in Sudoku after all, and describes better-than-average averages. Even when some of these essays involve a hike up the learning curve, the view from the top is worth it.


Mathematical Reasoning

Автор: English, Lyn D.
Название: Mathematical Reasoning
ISBN: 0805819789 ISBN-13(EAN): 9780805819786
Издательство: Taylor&Francis
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Цена: 148010.00 T
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Mathematical Reasoning

Автор: English, Lyn D.
Название: Mathematical Reasoning
ISBN: 0805819797 ISBN-13(EAN): 9780805819793
Издательство: Taylor&Francis
Рейтинг:
Цена: 60220.00 T
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The Nature of Mathematical Thinking

Автор: Sternberg, Robert J.
Название: The Nature of Mathematical Thinking
ISBN: 0805817999 ISBN-13(EAN): 9780805817997
Издательство: Taylor&Francis
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Цена: 63280.00 T
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Mathematical Thinking

Автор: Isoda Masami
Название: Mathematical Thinking
ISBN: 9814350834 ISBN-13(EAN): 9789814350839
Издательство: World Scientific Publishing
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Цена: 105600.00 T
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Описание: Developing mathematical thinking is one of major aims of mathematics education. This book describes three perspectives of mathematical thinking: Mathematical Attitude (Mind`s set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.

The Nature of Mathematical Thinking

Автор: Sternberg, Robert J.
Название: The Nature of Mathematical Thinking
ISBN: 0805817980 ISBN-13(EAN): 9780805817980
Издательство: Taylor&Francis
Рейтинг:
Цена: 148010.00 T
Наличие на складе: Поставка под заказ.


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