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Treks Into Intuitive Geometry: The World of Polygons and Polyhedra (Softcover Reprint of the Original 1st 2015)

Treks into Intuitive Geometry

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"Treks into Intuitive Geometry" by Jin Akiyama, Kiyoko Matsunaga is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects. The authors believe that through dialogues between students and mathematicians, readers may discover the processes by which the founders of the theories came to their various conclusions―their trials, errors, tribulations, and triumphs. The goal is for readers to refine their mathematical sense of how to find good questions and how to grapple with these problems. Another aim is to provide enjoyment in the process of applying mathematical rules to beautiful art and design by examples that highlight the wonders and mysteries from our daily lives. To fulfill these aims, this book deals with the latest unique and beautiful results in polygons and polyhedra and the dynamism of geometrical research history that can be found around us. The term "intuitive geometry" was coined by Lászlo Fejes Tóth to refer to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book allows people to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity.

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Best For: Students and readers interested in the mathematical concepts behind natural patterns, art, and architecture.
Focus: Exploring the mathematical theories related to polygons and polyhedra through intuitive and everyday examples.
Covers: Mathematical patterns in nature, art, traditional crafts, and architectural techniques involving polygons and polyhedra.
Why It Matters: It helps readers understand the development of geometric theories by connecting abstract concepts to familiar real-world examples and the reasoning processes of mathematicians.

"Treks into Intuitive Geometry" by Jin Akiyama, Kiyoko Matsunaga 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: Jin Akiyama, Kiyoko Matsunaga

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.

This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects. The authors believe that through dialogues between students and mathematicians, readers may discover the processes by which the founders of the theories came to their various conclusions―their trials, errors, tribulations, and triumphs. The goal is for readers to refine their mathematical sense of how to find good questions and how to grapple with these problems. Another aim is to provide enjoyment in the process of applying mathematical rules to beautiful art and design by examples that highlight the wonders and mysteries from our daily lives. To fulfill these aims, this book deals with the latest unique and beautiful results in polygons and polyhedra and the dynamism of geometrical research history that can be found around us. The term "intuitive geometry" was coined by Lászlo Fejes Tóth to refer to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book allows people to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity.

AuthorJin Akiyama, Kiyoko Matsunaga
PublisherSpringer
Published2019-03-14
ISBN-139784431567097
BindingPaperback
Pages425
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics

Format: Paperback

Length: 425 pages

Language: English

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