Mathematics Form and Function

This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been

Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continu

Weights and measures form an essential part of our ingrained view of the world. It is just about impossible to function effectively without some internalized system of measurement. In this volume, I o

本書將包括傳統產業及高新科技產業在內的各行各業，其企業內部錯綜複雜的營運，劃分為五個企業功能(Five Business Function)──行銷、生產、研究發展、人事及財會。若與一般通用之五管理功能──計劃、組織、用人、指導及控制──相連貫，即為企業管理之必勝手段。管理功能是公司內部陰密的「管人」(Managing People)活動，外人不易明瞭，而企業功能則是陽顯的「做事」(Doing T

The IBMYP Mathematics Study Guide Level 3 is tailor-made for students in their third year of IBMYP studies and aims to build a solid foundation for further studies in Mathematics. Written by our highl

IBMYP Mathematics Study Guide Level 4 is tailor-made for students in their fourth year of IBMYP studies and aims to build a solid foundation for further studies in Mathematics. Written by our highly e

The Mathematics: Modeling Our World curriculum is founded on the principle that mathematics is a necessary tool for understanding the physical and social worlds in which we live. This is not the same

《數學小史》用親切易懂的語言，帶領讀者走進數學的歷史長河，從古埃及與巴比倫時期，一路走到現代密碼學與數學理論的發展。書中不只介紹牛頓、帕斯卡等熟悉的名字，也細細描寫中國、阿拉伯、日本等地的數學成就，更特別介紹女性數學家的貢獻。這是一本融合人文與科學的溫暖數學故事書，適合對數字與知識充滿好奇的你。A lively, accessible history of mathematics throughout the ages and across the globeMathematics is fundamental to our daily lives. Science, computing, economics—all aspects of modern life rely on some kind of maths. But how did our ancestors think about numbers? How did they use mathematics to explain and understand the world around them? Where do numbers even come from?In this Little History, Snezana Lawrence traces the fascinating history of mathematics, from the Egyptians and Babylonians to Renaissance masters and enigma codebreakers. Like literature, music, or philosophy, mathematics has a rich history of breakthroughs, creativity and experimentation. And its story is a global one. We see Chinese Mathematical Art from 200 BCE, the invention of algebra in Baghdad’s House of Wisdom, and sangaku geometrical theorems at Japanese shrines. La

The publication of Form and Object: A Treatise on Things by Tristan Garcia, Prix de Flore-winning novelist, philosopher, essayist, and screenwriter is a genuine event in the history of philosophy. Sit

IGCSE Mathematics Study Guide id designed for students taking the Ed-excel/ CIE IGCSE Mathematics examination. Following the latest IGCSE topic areas, including number properties, algebra, geometry, t

?This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, foun

IBMYP Mathematics Level 5 Study Guide is tailor-made for students in their final year of IBMYP studies and provides a solid foundation for further studies in the IB program. Written by our highly expe

Mathews (California State U.-Fullerton) and Howell (Westmont College) present a textbook for students in mathematics, physics, and engineering at the junior or senior undergraduate level who have comp

IBDP Mathematics (Standard Level) is part of NTK Academic Group's new and exciting IB360 series of publications. Designed to fill the gap between typical IB textbooks and IB study guides, the IB360 se

此書配合108課綱，三民普通型高級中學英文課本內容編寫。是自主學習、課後複習最佳夥伴。本書針對課本、附冊的重點：課文、單字片語、句型詳加解析，並搭配專業老師精心編寫的即時練習，讓學習有重點，效率高。Read About It：逐句講解課本裡，每課課文文法重點、句構並提供中文翻譯。Words for Production & Idioms and Phrases：逐個介紹附冊裡的單字與片語，並提供搭配用法等補充資訊。Learn About Sentence Structure：說明課本內重點句型的意義與用法。延伸補充FYI：針對當課相關的額外資訊，彙整成四大類，字詞知識、Usage、字以類聚、slang & saying。提高自主學習效率。Give it a shot!：課文、單字片語、句型的即時練習，加深印象。

《圓覺經》全名《大方廣圓覺修多羅了義經》，透過文殊師利等十二位菩薩與佛陀的問答，宣說如來圓覺妙理，揭櫫一切眾生具足圓覺妙心，是指引如何修行成佛的經典。《圓覺經》廣受唐代天台、華嚴、禪宗、密宗重視，北宋郭印提出佛教四書，清末吳坤修甄選釋氏十三經，它從未缺席，又早早流布高麗與鎌倉時代的朝鮮、日本。該經一卷之薄，允為東亞漢傳佛教「經中之睛」。是次新注新譯，深度利用東亞文獻以校勘、輯佚，紹述唐僧玄奘忠於原典及思想、語言原貌之傳統，從佛學乃至文學角度，予以精當闡釋，化深奧為易懂，內容至簡至要。〈導讀〉一文更明析該經結構、善本、善注、文體，乃至東亞古典時代地位諸議題。研讀佛教經典者，切莫錯過。The Sūtra of Perfect Englightenment 圓覺經, whose full title is The Nītârtha Sūtra on the canon of the great and expansive Perfect Enlightenment (Dà fāngguăng yuánjué xiūduōluó liǎoyì jīng) 大方廣圓覺修多羅了義經, uses a conversation between the Buddha and twelve Bodhisattvas, led by Mañjuśrī, to promulgate the wondrous doctrine of perfect enlightenment. It discloses that all sentient beings have an innate mind of perfect enlightenment, and guides them on how to train to attain Buddhahood. In the Tang dynasty, the Sūtra of Perfect Enlightenment was held in high esteem by the Tiantai, Huayan, Chan, and Vajrayāna (Esoteric) schools. And it was listed in the four Buddhist classics proposed by the Northern Song’s G

此書配合108課綱，三民普通型高級中學英文課本內容編寫。是自主學習、課後複習最佳夥伴。本書針對課本的重點：課文、單字片語、句型詳加解析，並搭配專業老師精心編寫的即時練習，讓學習有重點，效率高。 Read About It： 逐句講解課本裡，每課課文文法重點、句構並提供中文翻譯。 Words for Production & Idioms and Phrases： 逐個介紹課本裡的單字與片語，並提供搭配用法等補充資訊。 Learn About Sentence Structure： 說明課本內重點句型的意義與用法。 延伸補充FYI： 針對當課相關的額外資訊，彙整成四大類，字詞知識、Usage、字以類聚、slang & saying。提高自主學習效率。 Give it a shot!： 課文、單字片語、句型的即時練習，加深印象。

«每個人的故事都有它的意義——透過挖掘劉宰的生命故事，探索南宋士人的崇高使命感 «不再侷限皇帝達官顯要的歷史——重新建構南宋基層社會樣貌 ◎「與士大夫共治天下」不是說說而已——致仕歸鄉仍有志於社會 劉宰是何許人也？劉宰並非南宋重臣名宦，身分僅為地方士人官僚，他在官途順遂且尚處壯年之時，毅然辭官返鄉。由於他過往擔任地方基層官的種種經驗，加之家鄉鎮江府金壇縣位處南宋與金的邊境，是當時南宋政局動盪的首衝之地，於是他選擇「退而不休」，不只積極號召、凝聚鄉親人力，更多次推動大型社會公益活動。 ◎小人物立大功——誰說只有權有勢的官宦才能影響政局及社會 縱然劉宰不似同時代的史彌遠、韓侂冑等人威名赫赫，劉宰雖已脫離官場，他仍時常與當權者通信，並且依據自己在地方地所聞所見，提供政策解決方案，同時對時局提出建言。他作為政府官方與地方士人的中介，促使南宋地方政府與基層社會緊密連結，展現南宋時代的獨特士人社會力。 作者結合地理環境和時代政局的變動，描繪劉宰一生所關注、推動以及與時代環境緊密連結的家國事業，藉由認識劉宰他的人格特質以及他所代表的南宋時代的士人社會力微觀研究出發，剖析環境與資源對區域的發展影響，建構出更完整的南宋社會樣貌，試圖從與過往不同的視角理解南宋在中國歷史轉型期的關鍵地位。 Huang Kuanchung is a social historian, political historian, cultural historian, and intellectual historian all at once. All his talents are in apparent in this fascinating and important study of Liu Zai 劉宰in Southern Song local society and national politics. 黃寬重同時是社會、政治、文化和思想史學家。他所有的才能，在這部精彩且重要的關於南宋地方社會和國家政治的劉宰研究中，顯露無遺。——Peter Bol（

«每個人的故事都有它的意義——透過挖掘劉宰的生命故事，探索南宋士人的崇高使命感 «不再侷限皇帝達官顯要的歷史——重新建構南宋基層社會樣貌 ◎「與士大夫共治天下」不是說說而已——致仕歸鄉仍有志於社會 劉宰是何許人也？劉宰並非南宋重臣名宦，身分僅為地方士人官僚，他在官途順遂且尚處壯年之時，毅然辭官返鄉。由於他過往擔任地方基層官的種種經驗，加之家鄉鎮江府金壇縣位處南宋與金的邊境，是當時南宋政局動盪的首衝之地，於是他選擇「退而不休」，不只積極號召、凝聚鄉親人力，更多次推動大型社會公益活動。 ◎小人物立大功——誰說只有權有勢的官宦才能影響政局及社會 縱然劉宰不似同時代的史彌遠、韓侂冑等人威名赫赫，劉宰雖已脫離官場，他仍時常與當權者通信，並且依據自己在地方地所聞所見，提供政策解決方案，同時對時局提出建言。他作為政府官方與地方士人的中介，促使南宋地方政府與基層社會緊密連結，展現南宋時代的獨特士人社會力。 作者結合地理環境和時代政局的變動，描繪劉宰一生所關注、推動以及與時代環境緊密連結的家國事業，藉由認識劉宰他的人格特質以及他所代表的南宋時代的士人社會力微觀研究出發，剖析環境與資源對區域的發展影響，建構出更完整的南宋社會樣貌，試圖從與過往不同的視角理解南宋在中國歷史轉型期的關鍵地位。 Huang Kuanchung is a social historian, political historian, cultural historian, and intellectual historian all at once. All his talents are in apparent in this fascinating and important study of Liu Zai 劉宰in Southern Song local society and national politics. 黃寬重同時是社會、政治、文化和思想史學家。他所有的才能，在這部精彩且重要的關於南宋地方社會和國家政治的劉宰研究中，顯露無遺。——Peter Bol（包弼德）&n

此書配合108課綱，三民普通型高級中學英文課本內容編寫。是自主學習、課後複習最佳夥伴。本書針對課本的重點：課文、單字片語、句型詳加解析，並搭配專業老師精心編寫的即時練習，讓學習有重點，效率高。 1. Read About It： 逐句講解課本的每課課文文法重點、句構，並提供中文翻譯。 2. Words for Production & Idioms and Phrases： 詳細介紹每課的單字與片語，並提供搭配用法等補充資訊。 3. Learn About Sentence Structures： 說明課本內重點句型的意義與用法，並提供例句及練習，增強理解。 4. 延伸補充FYI： 針對當課相關的額外資訊，彙整成四大類，字詞知識、Usage、字以類聚、Slang & Saying，提高自主學習效率。 5. Give it a shot!： 課文、單字片語、句型的即時練習，加深印象。

此書配合108課綱，三民普通型高級中學英文課本內容編寫。是自主學習、課後複習最佳夥伴。本書針對課本、附冊的重點：課文、單字片語、句型詳加解析，並搭配專業老師精心編寫的即時練習，讓學習有重點，效率高。 ? Read About It： 逐句講解課本裡，每課課文文法重點、句構並提供中文翻譯。 ? Words for Production & Idioms and Phrases： 逐個介紹附冊裡的單字與片語，並提供搭配用法等補充資訊。 ? Learn About Sentence Structure： 說明課本內重點句型的意義與用法。 ? 延伸補充FYI： 針對當課相關的額外資訊，彙整成四大類，字詞知識、Usage、字以類聚、slang & saying。提高自主學習效率。 ? Give it a shot!： 課文、單字片語、句型的即時練習，加深印象。

此書配合108課綱，三民普通型高級中學英文課本內容編寫。是自主學習、課後複習最佳夥伴。本書針對課本的重點：課文、單字片語、句型詳加解析，並搭配專業老師精心編寫的即時練習，讓學習有重點，效率高。 Read About It： 逐句講解課本裡，每課課文文法重點、句構並提供中文翻譯。 Words for Production & Idioms and Phrases： 逐個介紹課本裡的單字與片語，並提供搭配用法等補充資訊。 Learn About Sentence Structure： 說明課本內重點句型的意義與用法。 延伸補充FYI： 針對當課相關的額外資訊，彙整成四大類，字詞知識、Usage、字以類聚、slang & saying。提高自主學習效率。 Give it a shot!： 課文、單字片語、句型的即時練習，加深印象。

此書配合108課綱，三民普通型高級中學英文課本內容編寫。是自主學習、課後複習最佳夥伴。本書針對課本的重點：課文、單字片語、句型詳加解析，並搭配專業老師精心編寫的即時練習，讓學習有重點，效率高。 Read About It： 逐句講解課本裡，每課課文文法重點、句構並提供中文翻譯。 Words for Production & Idioms and Phrases： 逐個介紹課本裡的單字與片語，並提供搭配用法等補充資訊。 Learn About Sentence Structure： 說明課本內重點句型的意義與用法。 延伸補充FYI： 針對當課相關的額外資訊，彙整成四大類，字詞知識、Usage、字以類聚、slang & saying。提高自主學習效率。 Give it a shot!： 課文、單字片語、句型的即時練習，加深印象。

9786263072350 樹的透視書了解樹的不同部位怎麼分工合作、讓樹持續成長，並探索樹如何以各種方式協助人類與動物。樹太神奇了，快準備好翻開書吧！ 從樹頂到根尖，樹木裡面充滿了驚奇的小祕密！本書運用特殊的透明頁設計，一層一層剖析大樹生態系，帶領讀者認識身邊的樹木，看樹木隨著季節發生的變化，以及如何提供棲所給各種動物。9781474992145 Usborne Book and Jigsaw: Tree of Life (300片拼圖+16頁小書)A beautiful Tree of Life Jigsaw Puzzle accompanied by a 16pp book that explores the whole tree of life from microscopic bacteria to whole rainforest ecosystems, packed with information about how life works, what makes a living thing, and all sorts of the Earth’s amazing plants and animals.300片拼圖+16頁小書拼圖完成尺寸59*40公分

兩河流域的算術泥板、搜尋引擎、巡航定速…數學早已是人類文明進程中的要角。斯德哥爾摩大學最年輕的博士Stefan Buijsman以趣味十足，引人入勝的筆法，向讀者解釋生活中無處不在的數學概念，及數學與哲學、心理學、歷史背後的關聯。Thousands of years ago the inhabitants of Mesopotamia became the first to use numbers. Since then, mathematics has been unstoppable. It's behind almost everything, from search-engines to cruise-control, from coffee-makers to timetables.But now that we hardly ever need to do arithmetic, how relevant is mathematics to everyday life? Pluses and Minuses demonstrates the role mathematics plays in human endeavour. It answers questions such as: What is life without numbers? Is the usefulness of mathematics mere chance? How can we get a grip on uncertainty? Stefan Buijsman's richly entertaining guide makes connections between philosophy, psychology and history, while explaining the wonderful world of mathematics for absolutely everyone.Born in 1995, Stefan gained a master's degree in philosophy in Leiden at the age of eighteen, after which he moved from Sweden to work on a PhD. Wi

風靡全球的兒少／成人科普繪本物理學家也讚嘆，量子物理原來可以這樣理解！★獲獎紀錄豐富－2018年英國少年雜誌最佳兒童設計／圖書銀獎 (Silver for Best Designed/Illustrated Book for Children)－2018年英國圖書設計與製作獎 (British Book Design and Production Awards)－入圍2019美國科學促進會／速霸陸汽車公司頒發的科學圖書優等獎（中級科學圖書類）(the 2019 AAAS/Subaru SB&F Prize for Excellence in Science Books (Middle Grades Science Book category))－獲選為「速霸陸愛學習計畫」(Subaru Loves Learning Program) 教材圖書，被開發為免費教材在全美進行推廣－獲選第79梯次「好書大家讀」 優良少年兒童讀物★各國爭相出版西班牙文、英文、法文、義大利文、德文、簡體中文、韓文、俄文等多種語言版本陸續出版，深受各國讀者喜愛。★亞馬遜網路書店評價 4.7 顆星，盛讚如潮！「圖畫可愛有趣，文字清晰易讀，作為一名科學家，我發現了以前我不知道的事情。」──亞馬遜讀者 5 星評論「如果你想讓孩子變聰明，這本書是必須的！」──亞馬遜 5 星評論★當當網好評率100%，點讚數直逼2萬！「不要低估小學生的理解力，我家那位竟然看得津津有味，還說要去查查普朗克是如何攻克什麼的，總之把老母親哄得一愣一愣，這本書他非常喜歡。」──當當網 10 星評論「這本書每一頁都有愛因斯坦老師給孩子講一些物理知識，兒子卡住不懂的時候會問我，其實我有些知識也是跟他一起讀這本書理解的。」──當當網 10 星評論【本書簡介】我們周圍的一切，包含我們自己，都是由小於奈米的微小顆粒組成。量子物理學是這些粒子的科學，沒有它，我們的電子設備都不存在。量子粒子的特性和行為很奇妙，和我們日常生活中所見的物體完全不同。透過這本豐富的圖解指南，愛因斯坦博士將帶領我們從牛頓的古典物理開始，介紹到普朗克的量子、光的波粒二象性、物質和反物質、量子糾纏、薛丁格的貓……帶你進入神秘又有趣的量子世界。【本書特色】◎獨一無二！量子物理啟蒙繪本量子物理在大多數的成人眼裡好比外星語言，本書卻從兒童的視角出發，把艱澀的原理變得簡

英文騎士團長戴逸群與英文小說中毒團隊一同打造英文小說的「閱讀素養課程」「解」 開文本迷津、 「讀」 出深度思考力、 「攻」 克英文小說的完全攻 「略」 ！★由小說延伸活動，從讀到寫逐步搭建鷹架，長篇閱讀SO EASY！★單字學習、閱讀理解、批判思考輕鬆GET！★整合資訊、獨立思考、解決問題，素養力UP！ 本書根據原文小說Harry Potter and the Sorcerer's St

走吧！今天就抬起你的工作與生活，向天涯海角出發！ ★國際大獎動畫作品改編★ ★已售出英、德、瑞士與韓國等多國版權，繁體中文版本搶先全球上市★ ★4~8歲親子共讀，8歲以上自行閱讀 ◎無注音 【內容簡介】個性爽朗的奧爾嘉，已經在小報亭工作了很久、很久，事實上，她可能有一點「卡」在裡面了。 奧爾嘉偶爾會因為離不開小報亭而感到悲傷，這時候她會閱讀旅遊雜誌，夢想著遠方。 然而，一連串突如其來的事件，意外開啟了奧爾嘉的旅程…… ◎《小報亭》原作動畫電影：https://vimeo.com/258238541 【心動推薦】Emily│作家／插畫設計師黃大米│暢銷人氣作家螺螄拜恩│暢銷人氣作家（按姓氏筆畫排序） 【本書特色】★親子共讀之外，更是一本獻給大人的童話一本好書，能讓不同年齡的讀者感受到不同的層次。《小報亭》以它繽紛的色彩、搞笑的情節吸引住孩子的目光，然後沉浸在宛如漫畫式的分鏡和無所不在的亮點之中，目不暇給，重讀數遍也不厭倦。對成人讀者來說，本書除了視覺上的饗宴，也許還能對照我們自己的生活，是不是如奧爾嘉一般一成不變？也在心中隱隱盼望能夠在千里之外有另一種人生呢？ ★繪本 VS. 動畫，樂趣大不同先看過動畫短片的讀者，會驚訝於動畫重新創作成靜態插畫時，作者為了適應不同媒體所做的調整。像是頁面的配置，還有精彩情節的放大，故事被精煉成一頁頁的精華；而閱讀完繪本再欣賞動畫的讀者，則能將自己對畫面的原初想像，和活起來的畫面相比較，會有另一番趣味，同時也可以在動畫中享受到許多畫面之外的小細節。 ★打開一扇通往異國的窗「小報亭」這種街邊路旁的小雜貨店，對於便利商店極度密集的臺灣來說相當陌生。藉由繪本《小報亭》，我們可以一窺歐洲，特別是拉脫維亞首都──里加的生活樣貌與城市風情。IBBY Honour List 2020International Jānis Baltvilks Prize in Children’s Literature and Book Art 2019

Build early mathematics skills like counting, number recognition, understanding relative quantity and size, and more with Number Circus!. This large, sturdy lift-the-flap book teems with humorous vign

夏天的漂鳥，到我窗前來唱歌，又飛去了。秋天的黃葉，沒有歌唱，只嘆息一聲，飄落在那裡。──《漂鳥集》‧1Stray birds of summer come to my window to sing and fly away.And yellow leaves of autumn, which have no songs, flutter and fall there with a sigh.—St

The book provides the reader with a multifaceted picture of mathematics education in Israel, put into an international perspective where relevant. It is intended to give an overview of a wide range of

Intended for advanced undergraduates and graduate students in mathematics, physics, and chemistry, this work teaches problem-solving using the theory of special functions. The concise treatment presen

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Enhance students' critical-thinking skills in grades K-12 using high-interest mathematics content. This classroom resource provides leveled text-dependent questions to support students as they examine

Numbers can be magical things, and Wizard Plusminus will show you how! With fun pops, flaps and spinners to pull and turn, everyday mathematics becomes extraordinary. Try your luck on the magic roulet

Well-written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus an

Long before the distant past, Earth was an organic whole without form and void. A divine goddess separated Earth from Heaven to form Terrestrial continents Once every sixty six thousand six hundred an

Long before the distant past, Earth was an organic whole without form and void. A divine goddess separated Earth from Heaven to form Terrestrial continents Once every sixty six thousand six hundred an

Tales of Terra Ocean Long before the distant past, Earth was an organic whole without form and void. A divine goddess named Pan Gu separated Earth from Heaven to form Terrestrial continents. Once ever

In this concise yet comprehensive guide to the mathematics of modern portfolio theory the authors discuss mean-variance analysis, factor models, utility theory, stochastic dominance, very long term investing, the capital asset pricing model, risk measures including VAR, coherence, market efficiency, rationality and the modelling of actuarial liabilities. Each topic is clearly explained with assumptions, mathematics, limitations, problems and solutions presented in turn. Joshi's trademark style of clarity and practicality is here brought to classical financial mathematics. The book is suitable for mathematically trained students in actuarial studies, business and economics as well as mathematics and finance, and it can be used for both self-study and as a course text. The authors' experience as both academics and practitioners brings clarity and relevance to the book, whilst ensuring that the limitations of models are highlighted.