Автор: F. William Lawvere Название: Conceptual Mathematics ISBN: 052171916X ISBN-13(EAN): 9780521719162 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Conceptual Mathematics introduces the concept of category to beginning students and practising mathematical scientists based on a leisurely introduction to the important categories of directed graphs and discrete dynamical systems. The expanded second edition approaches more advanced topics via historical sketches and a concise introduction to adjoint functors.
Автор: F. William Lawvere Название: Sets for Mathematics ISBN: 0521010608 ISBN-13(EAN): 9780521010603 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. Starting with intuitive descriptions of mathematically and physically common phenomena, it leads up to a precise specification of the Category of Sets. Suitable for advanced undergraduates and beginning graduate students.
Описание: Addresses a focused theme on mathematics education. This title intends to illustrate the diversity within the theme and the research that translates into classroom pedagogies. It illuminates how application and modelling tasks may help develop the capacity of students to use mathematics in their present and future lives.
Автор: Hacking Название: Why Is There Philosophy of Mathematics At All? ISBN: 1107050170 ISBN-13(EAN): 9781107050174 Издательство: Cambridge Academ Рейтинг: Цена: 12355.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Ian Hacking draws on cognitive sciences, evolutionary psychology, neurology, developmental psychology, and cognitive archaeology (tools and the mind) to explore how mathematics became possible, for a species like ours, on a planet like this. An innovative book for those studying logic, theory of knowledge, and philosophy of science.
Автор: Franklin, J. Название: Aristotelian realist philosophy of mathematics ISBN: 1349486183 ISBN-13(EAN): 9781349486182 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematics is as much a science of the real world as biology is. It is the science of the world`s quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.
Название: Studying Mathematics and its Applications ISBN: 0333922794 ISBN-13(EAN): 9780333922798 Издательство: Springer Рейтинг: Цена: 4471.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: As students of mathematics or its applications progress, courses focus increasingly on mathematical theories and applications themselves, and less on how to study these complex ideas. This text aims to bridge this gap by focusing on the essential skills needed to study these complex ideas.
Автор: Morris Название: Finite Mathematics - Models and Applications ISBN: 1119015502 ISBN-13(EAN): 9781119015505 Издательство: Wiley Рейтинг: Цена: 19158.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Finite Mathematics: Models and Applications connects fundamental mathematical modeling skills and decision making concepts to their everyday applicability and features real-world examples from a variety of areas from business, finance, and management to the life and social sciences.
Автор: Tahiri, Hassan Название: Mathematics and the mind ISBN: 3319252364 ISBN-13(EAN): 9783319252360 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Chapter 1 The Reinvention of Knowledge.- Chapter 2 Ibn Sīnā and the Reinvention of Epistemology.- Chapter 3 Refutation of the Greek Conception of Number.- Chapter 4 Ibn Sīnā's Basic Theory of Knowledge: Existence, Intentionality, Memory.- Chapter 5 The Logico-Epistemic Construction of Numbers.- Chapter 6 Concluding Remarks.
Автор: Ju Название: Cultures of Mathematics and Logic ISBN: 3319315005 ISBN-13(EAN): 9783319315003 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This bookgathers the proceedings of the conference 'Cultures of Mathematics andLogic,' held in Guangzhou, China. The event was the third in a series ofinterdisciplinary, international conferences emphasizing the culturalcomponents of philosophy of mathematics and logic. It brought togetherresearchers from many disciplines whose work sheds new light on the diversityof mathematical and logical cultures and practices. In this context, thecultural diversity can be diachronical (different cultures in differenthistorical periods), geographical (different cultures in different regions), orsociological in nature.
Автор: Alexandru Название: Finitely Supported Mathematics ISBN: 3319422812 ISBN-13(EAN): 9783319422817 Издательство: Springer Рейтинг: Цена: 10760.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this book the authors present an alternative set theory dealing with a more relaxed notion of infiniteness, called finitely supported mathematics (FSM). It has strong connections to the Fraenkel-Mostowski (FM) permutative model of Zermelo-Fraenkel (ZF) set theory with atoms and to the theory of (generalized) nominal sets. More exactly, FSM is ZF mathematics rephrased in terms of finitely supported structures, where the set of atoms is infinite (not necessarily countable as for nominal sets). In FSM, 'sets' are replaced either by `invariant sets' (sets endowed with some group actions satisfying a finite support requirement) or by `finitely supported sets' (finitely supported elements in the powerset of an invariant set). It is a theory of `invariant algebraic structures' in which infinite algebraic structures are characterized by using their finite supports. After explaining the motivation for using invariant sets in the experimental sciences as well as the connections with the nominal approach, admissible sets and Gandy machines (Chapter 1), the authors present in Chapter 2 the basics of invariant sets and show that the principles of constructing FSM have historical roots both in the definition of Tarski `logical notions' and in the Erlangen Program of Klein for the classification of various geometries according to invariants under suitable groups of transformations. Furthermore, the consistency of various choice principles is analyzed in FSM. Chapter 3 examines whether it is possible to obtain valid results by replacing the notion of infinite sets with the notion of invariant sets in the classical ZF results. The authors present techniques for reformulating ZF properties of algebraic structures in FSM. In Chapter 4 they generalize FM set theory by providing a new set of axioms inspired by the theory of amorphous sets, and so defining the extended Fraenkel-Mostowski (EFM) set theory. In Chapter 5 they define FSM semantics for certain process calculi (e.g., fusion calculus), and emphasize the links to the nominal techniques used in computer science. They demonstrate a complete equivalence between the new FSM semantics (defined by using binding operators instead of side conditions for presenting the transition rules) and the known semantics of these process calculi.The book is useful for researchers and graduate students in computer science and mathematics, particularly those engaged with logic and set theory.
Описание: Presents coverage of the fundamentals of two-valued logic, multivalued logic, and fuzzy logic. Exploring the parallels between classical and fuzzy mathematical logic, this book examines the use of logic in computer science, addresses questions in automatic deduction, and describes efficient computer implementation of proof techniques.
Автор: L. Haaparanta Название: Mind, Meaning and Mathematics ISBN: 9048143667 ISBN-13(EAN): 9789048143665 Издательство: Springer Рейтинг: Цена: 24450.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: At the turn of the century, Gottlob Frege and Edmund Husserl both participated in the discussion concerning the foundations of logic and mathematics. It shows that Husserl`s thought is coming to occupy a central role in the philosophy of logic and mathematics, as well as in the philosophy of mind and cognitive science.
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