MATHEMATICS: ITS HISTORICAL ASPECTS, WONDERS AND BEYOND

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Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency "to teach to the test". This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader. The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.

Finite Mathematics & Its Applications (10版)

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書名：Finite Mathematics and Its Applications 10/e 作者：Goldstiein 出版社：PEARSON 出版日期：2011/00/00 ISBN：9780321674449 內容簡介 Description Finite Mathematics, Tenth Edition is a comprehensive text for students majoring in business, economics, life science, or social sciences. Without sacrificing mathematical integrity, the book clearly presents the concepts in a flexible content sequence with a large quantity of exceptional, in-depth exercise sets. The textbook is supported by a wide array of supplements as well as MyMathLab® and MathXL®, the most widely adopted and acclaimed online homework and assessment system on the market. 目錄 Table of Contents 1. Linear Equations and Straight Lines 2. Matrices 3. Linear Programming, A Geometric Approach 4. The Simplex Method 5. Sets and Counting 6. Probability 7. Probability and Statistics 8. Markov Processes 9. The Theory of Games 10. The Mathematics of Finance 11. Difference Equations and Mathematical Models 12. Logic

Mathematical Constants Encyclopedia of Mathematics & its Applications Vol:94

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Famous mathematical constants include the ratio of circular circumference to diameter, pi=3.14 …, and the natural logarithmic base, e=2.178 … Students and professionals usually can name at most a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. Topics covered include the statistics of continued fractions, chaos in nonlinear systems, prime numbers, sum-free sets, isoperimetric problems, approximation theory, self-avoiding walks and the Ising model (from statistical physics), binary and digital search trees (from theoretical computer science), the Prouhet-Thue-Morse sequence, complex analysis, geometric probability and the traveling salesman problem. This book will be helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This is an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

管理數學 (Goldstein：Finite Mathematics and Its Applications 11/E) (11版)

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作(編/譯)者 : 張哲明‧王敏‧陳彥銘‧藍淑惠 譯 出版年份 : 2019 ISBN : 9789863782261 書號 : 0027A31 幾色 : 2 規格 : 16K 發行公司 : PEARSON/高立 版權日期 : 2019/09/01 頁數 : 320 分別 : 授權書 內容簡介 本書強調運用數學方法解決日常生活問題。透過實例講解，由簡入繁、循序漸進的內容，使學生容易理解。書中例題結合數學理論與實務應用，解說簡潔明瞭，習題部分更能幫助學生奠定新觀念的基礎。另外提供如何利用電腦軟體 Excel 來解決數學問題。 本書特色 「本章學習目標」為主題開端：每一章開頭點出整章重要的學習架構。提綱挈領，清楚明瞭。 豐富而實用的例題：將各章節的例題加入許多日常生活中的實例，例如，家具製造、資源分配、運送成本、供需問題、擲骰子或硬幣、投資選擇、存款帳戶、年金計算等。 章末習題類型多元：章末習題包含各種類型，提供學生練習如何應用各章的概念，方便學生自我檢視。授課老師亦可以選擇指定各種題型讓學生練習，並知悉學生的學習程度。 目錄 Chapter 1　線性方程式與直線 Chapter 2　矩陣 Chapter 3　線性規劃─圖解法 Chapter 4　單形法 Chapter 5　集合與機率 Chapter 6　馬可夫過程與其在管理上的應用 Chapter 7　決策與賽局理論 Chapter 8　財務數學 附錄 部分習題解答 索引