£56.05

World Scientific Publishing Company Non Additive Geometry

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£63.66 £55.23 £57.07 £58.91 £60.75 £62.59 £64.43 01 August 2025 18 September 2025 05 November 2025 23 December 2025 10 February 2026

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165 days · current 10 days 4 days 3 days 8 days 4 days 0 41 83 124 165 £56 £60 £61 £62 £63 £64 Days at Price

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Price range: £56 - £64

Price levels: 6 different prices over 194 days

Description

Non Additive Geometry introduces a groundbreaking approach to arithmetic geometry, replacing traditional structure of commutative rings with Props and Bioperads — algebraic systems that can handle matrix multiplication and block direct sums. These structures allow for a deeper exploration of algebraic geometry, where addition no longer holds as a universal operation, particularly at the critical "Real prime." The book presents an innovative and comprehensive study of this new geometric framework, discussing its implications for arithmetic geometry and its potential applications in physics. Chapters explore topics such as generalized schemes, sheaves, ideals and primes, localization, and higher K-theory, following Grothendieck's pioneering methods while extending them to accommodate the needs of arithmetic. The text also addresses future applications, leaving room for readers to explore new directions and potential breakthroughs. This monograph is essential reading for advanced graduate students, researchers, and professionals in mathematics and theoretical physics interested in the foundations of arithmetic geometry, the role of Props and Bioperads, and their applications to broaden our concept of geometry, and therefore have new geometrical objects, such as the Arithmetical Surface Spec(ℤ ⊗ ℤ), the product of the primes Spec(ℤ) with themselves.

Product Specifications

Format
Hardcover
Domain
Amazon UK
Release Date
27 May 2025
Listed Since
07 December 2024

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