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Mathematics as Metaphor
Includes essays that are grouped in three parts: Mathematics; Mathematics and Physics; and, Language, Consciousness, and Book reviews. This book is suitable for those interested in the philosophy and history of mathematics, physics, and linguistics.
Methods of Homological Algebra
Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn about a modern approach to homological algebra and to use it in their work.
Selected Papers Of Yu I Manin
The book is a collection of research and review articles in several areas of modern mathematics and mathematical physics published in the span of three decades. The ICM Kyoto talk “Mathematics as Metaphor” summarises the author's view on mathematics as an outgrowth of natural language.
Algebra, Arithmetic, and Geometry
EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.
Introduction to Algebraic Independence Theory
In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.
Introduction to Modern Number Theory
This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.
A Course in Mathematical Logic for Mathematicians
1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-n...
Starman
On April 12, 1961, Yuri Gagarin became the first person in history to leave the Earth's atmosphere and venture into space. His flight aboard a Russian Vostok rocket lasted only 108 minutes, but at the end of it he had become the most famous man in the world. Back on the ground, his smiling face captured the hearts of millions around the globe. Film stars, politicians and pop stars from Europe to Japan, India to the United States vied with each other to shake his hand. Despite this immense fame, almost nothing is known about Gagarin or the exceptional people behind his dramatic space flight. Starman tells for the first time Gagarin's personal odyssey from peasant to international icon, his su...
Geometry and Dynamics of Groups and Spaces
Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.
The Silent Patient
- THE RECORD-BREAKING, MULTIMILLION COPY GLOBAL BESTSELLER AND TIKTOK SENSATION - Discover the #1 New York Times and Sunday Times bestselling thriller with a jaw-dropping twist that everyone is talking about - as seen on TikTok. Soon to be a major film. Alicia Berenson lived a seemingly perfect life until one day six years ago. When she shot her husband in the head five times. Since then she hasn't spoken a single word. It's time to find out why. READERS LOVE THE SILENT PATIENT ⭐⭐⭐⭐⭐ 'Everything you need from a psychological thriller with a killer twist that is impossible to see coming!' ⭐⭐⭐⭐⭐ 'Fiendishly clever ... believe the hype.' ⭐⭐⭐⭐⭐ 'Grabs your afternoon...
