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A Gateway to Abstract Mathematics

A Gateway to Abstract Mathematics

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"A Gateway to Abstract Mathematics" by E. A. Maxwell is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Dr Maxwell has written this short book to introduce students (and teachers) to the ideas involved in abstract mathematics. In his preface he states, 'I have often felt that the present plunge into abstraction is too sudden and that there is a need for more elementary work to make the immersion less exhausting.' Dr Maxwell does this by taking various topics from elementary mathematics, and showing what happens when the rules are altered in quite simple ways. He first discusses digital arithmetic, then introduces the idea of a group and illustrates some properties of groups by examples from algebra and geometry.

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Best For: Students and teachers beginning to explore abstract mathematics
Focus: Introducing foundational ideas of abstract mathematics through modifications of elementary math rules
Covers: Elementary mathematics topics and their transformations under altered rules
Why It Matters: Provides a gentler introduction to abstraction, helping readers transition more comfortably into advanced mathematical thinking

"A Gateway to Abstract Mathematics" by E. A. Maxwell 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: E. A. Maxwell

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.

Dr Maxwell has written this short book to introduce students (and teachers) to the ideas involved in abstract mathematics. In his preface he states, 'I have often felt that the present plunge into abstraction is too sudden and that there is a need for more elementary work to make the immersion less exhausting.' Dr Maxwell does this by taking various topics from elementary mathematics, and showing what happens when the rules are altered in quite simple ways. He first discusses digital arithmetic, then introduces the idea of a group and illustrates some properties of groups by examples from algebra and geometry.

AuthorE. A. Maxwell
PublisherCambridge University Press
Published2008-11-20
ISBN-139780521090285
BindingPaperback
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics

Format: Paperback

Language: English

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