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Wagner's Theory of Generalised Heaps (2017)

Wagner’s Theory of Generalised Heaps

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"Wagner’s Theory of Generalised Heaps" by Christopher D. Hollings, Mark V. Lawson is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner’s papers, the ideas of which are connected to present-day mathematical research. Along with a translation of Wagner’s main work in this area, his 1953 paper ‘Theory of generalised heaps and generalised groups,’ the book also includes translations of three short precursor articles that provide additional context for his major work. Researchers and students interested in both algebra (in particular, heaps, semiheaps, generalised heaps, semigroups, and groups) and differential geometry will benefit from the techniques offered by these translations, owing to the natural connections between generalised heaps and generalised groups, and the role played by these concepts in differential geometry. This book gives examples from present-day mathematics where ideas related to Wagner’s have found fruitful applications.

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Best For: Researchers and students interested in the development of algebraic structures and the history of mathematical ideas.
Focus: The presentation and translation of V. V. Wagner's theories on abstractions of systems of binary relations, including his work on generalised heaps.
Covers: Historical and mathematical context of Wagner's theories, translations of key papers from Russian to English, and connections to contemporary mathematical research.
Why It Matters: It provides access to foundational work in abstract algebra that has influenced current research, making Wagner's contributions more accessible to an English-speaking audience.

"Wagner’s Theory of Generalised Heaps" by Christopher D. Hollings, Mark V. Lawson is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Christopher D. Hollings, Mark V. Lawson

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner’s papers, the ideas of which are connected to present-day mathematical research. Along with a translation of Wagner’s main work in this area, his 1953 paper ‘Theory of generalised heaps and generalised groups,’ the book also includes translations of three short precursor articles that provide additional context for his major work. Researchers and students interested in both algebra (in particular, heaps, semiheaps, generalised heaps, semigroups, and groups) and differential geometry will benefit from the techniques offered by these translations, owing to the natural connections between generalised heaps and generalised groups, and the role played by these concepts in differential geometry. This book gives examples from present-day mathematics where ideas related to Wagner’s have found fruitful applications.

AuthorChristopher D. Hollings, Mark V. Lawson
PublisherSpringer
Published2017-09-18
ISBN-139783319636207
BindingHardcover
Pages189
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics

Format: Hardcover

Length: 189 pages

Language: English

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