A Problem Based Journey from Elementary Number Theory to an Introduction to Matrix Theory

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Contents: Introduction Algebraic Structures The Natural Numbers The Integers The Real Numbers Introduction to Set Theory The Pigeonhole Principle and the Base 2 Number System Introduction to Group Theory Introduction to Matrix Theory Fibonacci Numbers, Determinants and Eigenvalues The Mathematics Behind Google's Page Rank and a Game of Numbers Bibliography Index Readership: High school students who love mathematics and mathematics teachers. Also good for professors of mathematics and maths education, students in the mathematical sciences and pre-service math teachers.

JOURNEY THROUGH THE WONDERS OF PLANE GEOMETRY, A

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Geometry is one of the most beautiful aspects of mathematics. This beauty is because you can "see" geometry at work. Most people are exposed to the very basic elements of geometry throughout their schooling with the most concentrated study in the secondary school curriculum. High schools in the United States offer one year of concentrated study of geometry that shows students how a mathematician functions, since everything that is accepted beyond the basic axioms must be proved. Unfortunately, as the course is only one year long, there is still very much in geometry left unexplored for the general audience. That is the challenge of this book, in which we will present a plethora of amazing geometric relationships. We begin with the special relationships of the Golden Ratio, before considering unexpected concurrencies and collinearities. Next, we present some surprising results that arise when squares and similar triangles are placed on triangle sides, followed by a discussion of concyclic points and the relationships between circles and various linear figures. Moving on to more advanced aspects of linear geometry, we consider the geometric wonders of polygons. Finally, we address geometric surprises and fallacies, before concluding with a chapter on the useful concept of homothety, which is not included in the American year-long course in geometry. Request Inspection Copy Sample Chapter(s) Introduction Chapter 9: Geometric Surprises Contents: About the Authors Introduction The Golden Ratio in Geometry Unexpected Concurrencies Unexpected Collinearities Squares on Triangle Sides Similar Triangles on Triangle Sides Discovering Concyclic Points Circle Wonders Polygons and Polygrams Geometric Surprises Geometric Fallacies Homothety, Similarity, and Applications Index Readership: This book is suitable for secondary/high school level students and teachers, as well as a general readership, particularly those interested in bridging the gaps in their knowledge of geometry.

島行履記: 一個人,一生至少享受一次孤獨的旅行= Walking around the island: a journey (1版)

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【簡介】 《島行履記：一個人，一生至少享受一次孤獨的旅行》是一位中年大叔的環島日記。 【目錄】 書目 首部曲 出發，用腳步記錄台灣 一、大寒 二、簡單 三、春醒 四、試行 五、驚蟄起行 六、極西 七、酸的滋味 八、驚蟄起行 九、月津 十、迷航 十一、阿娘 十二、價值 二部曲 獨處，旅途中與心對話 十三、 緣分 十四、驚險 十五、自我對話 十六、與鹿港約會 十七、阿玉姐 十八、陪走 十九、朝聖 二十、冷卻 二十一、旅思 二十二、200枚硬幣 二十三、道途風光 二十四、老同學 三部曲 享受，孤獨與熱絡同在 二十五、海耶 二十六、極北 二十七、獨享一片海 二十八、山城剪影 二十九、友誼 三十、極東 三十一、蘭陽 三十二、縱走宜蘭 三十三、冬山河 三十四、花蓮大地震 三十五、獨處 三十六、清明 四部曲 回眸，滿眼皆是有情人 三十七、Amy 三十八、0元環島 三十九、北回歸線 四十、侘寂 四十一、漫行花東 四十二、尋找蔣勳 四十三、回眸池上 四十四、驚喜 四十五、徒步旅行團 四十六、百人車隊 四十七、Tiffany藍 四十八、日出 最終曲 完成，生命的一次壯遊 四十九、1314號藍 五十、最累的一天 五十一、幸福的徒步人 五十二、極南 五十三、最美的公路 五十四、傻瓜徒步環島團 五十五、辣味蓮霧 五十六、暴雨行 五十七、完全打擊 五十八、最後一天獨走 五十九、記錄 1795138