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  • © 1985

Orthomodular Lattices

Algebraic Approach

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Part of the book series: Mathematics and its Applications (MAEE, volume 18)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xix
  2. Introduction

    • Ladislav Beran
    Pages 1-27
  3. Elementary Theory of Orthomodular Lattices

    • Ladislav Beran
    Pages 28-69
  4. Structure of Orthomodular Lattices

    • Ladislav Beran
    Pages 70-117
  5. Amalgams

    • Ladislav Beran
    Pages 118-161
  6. Generalized Orthomodular Lattices

    • Ladislav Beran
    Pages 162-198
  7. Special Properties of Orthomodularity

    • Ladislav Beran
    Pages 235-288
  8. Application

    • Ladislav Beran
    Pages 289-341
  9. Back Matter

    Pages 375-394

About this book

Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. Bowever, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programmi ng profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-s.cale order", which are almost impossible to fit into the existing classifica­ tion schemes. They draw upon widely different sections of mathe­ matics.

Reviews

`It contains a systematic presentation at the graduate level. This fact makes the book understandable for a wide audience of mathematics students and scientists. The book can be highly recommended not only tot specialists but also for beginners in the field as a first source.'
Mathematical Reviews, 1986

Authors and Affiliations

  • Charles University, Prague, Czech Republic

    Ladislav Beran

Bibliographic Information

  • Book Title: Orthomodular Lattices

  • Book Subtitle: Algebraic Approach

  • Authors: Ladislav Beran

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-009-5215-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Ladislav Beran, Prague 1985

  • Hardcover ISBN: 978-90-277-1715-3Published: 28 February 1985

  • Softcover ISBN: 978-94-010-8807-7Published: 22 October 2011

  • eBook ISBN: 978-94-009-5215-7Published: 06 December 2012

  • Series ISSN: 0169-507X

  • Edition Number: 1

  • Number of Pages: XX, 394

  • Topics: Discrete Mathematics in Computer Science

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access