Wittgenstein on Rule-Following and the Foundations of Mathematics, Dolby
Автор: Mazur Название: Prime Numbers and the Riemann Hypothesis ISBN: 1107499437 ISBN-13(EAN): 9781107499430 Издательство: Cambridge Academ Рейтинг: Цена: 3802.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Mazur Название: Prime Numbers and the Riemann Hypothesis ISBN: 1107101921 ISBN-13(EAN): 9781107101920 Издательство: Cambridge Academ Рейтинг: Цена: 8395.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Vasco Brattka, Hannes Diener, Dieter Spreen Название: Logic, Computation, Hierarchies ISBN: 1614517835 ISBN-13(EAN): 9781614517832 Издательство: Walter de Gruyter Цена: 23049.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.
Автор: Krause, Decio Arenhart, Jonas R. B. Название: Logical foundations of scientific theories ISBN: 113868449X ISBN-13(EAN): 9781138684492 Издательство: Taylor&Francis Рейтинг: Цена: 23734.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regaining prominence, the issues covered here are still not generally discussed in philosophy of science. The authors focus mainly on the role played by the underlying formal apparatuses employed in the construction of the models of scientific theories, relating the discussion with the so-called semantic approach to scientific theories. The book describes the role played by this metamathematical framework in three main aspects: considerations of formal languages employed to axiomatize scientific theories, the role of the axiomatic method itself, and the way set-theoretical structures, which play the role of the models of theories, are developed. The authors also discuss the differences and philosophical relevance of the two basic ways of aximoatizing a scientific theory, namely Patrick Suppes' set theoretical predicates and the "da Costa and Chuaqui" approach. This book engages with important discussions of the nature of scientific theories and will be a useful resource for researchers and upper-level students working in philosophy of science.
Описание: Written in honor of Peter L. Montgomery, this book surveys his many contributions to computational number theory and cryptography. For graduate students and researchers, it features state-of-the-art research by experts in the field focusing on the impact of Montgomery`s ideas and algorithms on computational efficiency and cryptographic security.
Описание: First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic.
Автор: Sluga Hans Название: Wittgenstein ISBN: 1405118482 ISBN-13(EAN): 9781405118484 Издательство: Wiley Рейтинг: Цена: 3318.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Wittgenstein presents a concise, comprehensive and systematic treatment of the Austrian-born philosopher`s thought. Renowned scholar Hans Sluga first recounts events in Wittgenstein s life in order to illuminate the historical, political and personal conditions from which his philosophical work emerged.
Автор: Weyl, Hermann Название: Philosophy of mathematics and natural science ISBN: 0691141207 ISBN-13(EAN): 9780691141206 Издательство: Wiley Рейтинг: Цена: 8712.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Examines how advances in philosophy were led by scientific discoveries - the more humankind understood about the physical world, the more curious we became. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, this book helps readers understand science through the lens of philosophy.
Автор: Russell Bertrand Название: Principles of Mathematics ISBN: 0415487412 ISBN-13(EAN): 9780415487412 Издательство: Taylor&Francis Рейтинг: Цена: 2908.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A precursor to Russell`s famous Principa Mathematica, this is one of the most original and comprehensive treatises on the logical foundation of mathematics available today.
Автор: Borwein Название: Mathematicians on Creativity ISBN: 0883855747 ISBN-13(EAN): 9780883855744 Издательство: Cambridge Academ Цена: 3010.00 р. Наличие на складе: Поставка под заказ.
Описание: In their own words, many of the world's foremost mathematicians discuss the art and practice of their work in this book, which shines a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-calibre working mathematicians. This approach highlights the creative aspects of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Organised alphabetically, this book is meant for a general audience and is best read by browsing. It can be used as a supplementary text in mathematics history and mathematics education courses.
Автор: Stillwell John Название: Reverse Mathematics: Proofs from the Inside Out ISBN: 0691177171 ISBN-13(EAN): 9780691177175 Издательство: Wiley Рейтинг: Цена: 3485.00 р. Наличие на складе: Поставка под заказ.
Описание:
This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last forty years has a systematic approach been developed. In Reverse Mathematics, John Stillwell gives a representative view of this field, emphasizing basic analysis--finding the "right axioms" to prove fundamental theorems--and giving a novel approach to logic.
Stillwell introduces reverse mathematics historically, describing the two developments that made reverse mathematics possible, both involving the idea of arithmetization. The first was the nineteenth-century project of arithmetizing analysis, which aimed to define all concepts of analysis in terms of natural numbers and sets of natural numbers. The second was the twentieth-century arithmetization of logic and computation. Thus arithmetic in some sense underlies analysis, logic, and computation. Reverse mathematics exploits this insight by viewing analysis as arithmetic extended by axioms about the existence of infinite sets. Remarkably, only a small number of axioms are needed for reverse mathematics, and, for each basic theorem of analysis, Stillwell finds the "right axiom" to prove it.
By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.
Автор: Powers, Joseph M. (University of Notre Dame, Indiana) Sen, Mihir (University of Notre Dame, Indiana) Название: Mathematical Methods in Engineering ISBN: 1107037042 ISBN-13(EAN): 9781107037045 Издательство: Cambridge Academ Рейтинг: Цена: 10138.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.
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