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  • Book
  • © 2011

New Structures for Physics

Editors:

  • Only coherent collection of reviews available on this emergent topic

  • Tutorial approach will facilitate the use by graduate students and newcomers to the field

  • Unrivalled comprehensiveness, with close to 1000 pages of material

  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 813)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xviii
  2. An ABC on Compositionality

    1. Front Matter

      Pages 1-1
    2. Introduction to Categories and Categorical Logic

      • S. Abramsky, N. Tzevelekos
      Pages 3-94
    3. Categories for the Practising Physicist

      • B. Coecke, É.O. Paquette
      Pages 173-286
  3. Manifestations of Linearity

    1. Front Matter

      Pages 287-287
  4. More Example Applications

    1. Front Matter

      Pages 419-419
    2. Dagger Categories and Formal Distributions

      • R. Blute, P. Panangaden
      Pages 421-436
    3. Proof Nets as Formal Feynman Diagrams

      • R. Blute, P. Panangaden
      Pages 437-466
  5. Informatic Geometry

    1. Front Matter

      Pages 489-489
    2. Domain Theory and Measurement

      • K. Martin
      Pages 491-591
    3. A Partial Order on Classical and Quantum States

      • B. Coecke, K. Martin
      Pages 593-683
  6. Spatio-Temporal Geometry

    1. Front Matter

      Pages 685-685
    2. Domain Theory and General Relativity

      • K. Martin, P. Panangaden
      Pages 687-703
  7. Geometry and Topology in Computation

    1. Front Matter

      Pages 939-939

About this book

This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.

Editors and Affiliations

  • Oxford, United Kingdom

    Bob Coecke

Bibliographic Information

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access