Complex Variables

The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus

Kapoor (U. of Hyderabad, India) finds the theory of functions of a complex variable to be one of those areas of mathematics that were created for reasons not even remotely connected to any practical,

This textbook introduces the theory of complex variables at undergraduate level. A good collection of problems is provided in the second part of the book. The book is written in a user-friendly style

自由基 (Free radicals) 長久以來被認為是對生物體有害的活性物質，在哺乳類細胞主要是由粒線體電子傳遞鏈中的Complex I 及 Complex III 之電子漏與氧分子反應而產生，粒線體功能異常或抗氧化酵素系統缺陷皆可造成細胞內之活性氧(reactive oxygen species, ROS) 過多，進而引發氧化壓迫 (oxidative stress) 和氧化損傷，導致許多的神

The extensively revised 3rd edition of CMOS VLSI Design details modern techniques for the design of complex and high performance CMOS Systems-on-Chip. The authors draw upon extensive industry and clas

身為Omega，宇然自小活在Alpha圍繞的環境── 來自Alpha母親的冷漠、Alpha同學的霸凌， 皆令他的生活黯淡無光， 亦因此對Alpha產生根深蒂固的偏見與憎惡。 唯一溫暖他心靈的，只有家教老師──金道賢。 確認道賢「不是」Alpha， 宇然情不自禁地對這位暱稱自己為阿然的、 個性溫柔和煦的老師產生好感。 然而，當宇然鼓起勇氣告白，對方卻就此斷聯， 他只能將情感埋藏心底，遠赴海外留學…… 多年後，宇然如願錄取道賢就讀的學校並歸國， 一次偶然，他終於再次見到曾溫暖他青春的那人！ 此刻，宇然唯一的心願， 是聽到道賢再喚他一聲：「阿然。」 ※知名作者Oneulbom老師系列作，繁體中文版絢爛上市💖！ ※特邀人氣繪師Mae繪製全新封面──課間時光，有甜點與伊人相伴最甜蜜🍓！ ※且看《Omega Complex》中的學弟道賢如何成為年下家教學生的光🌟 ※隨書附贈：共讀時光電影票卡。 《Omega Complex》系列作　校園愛情絢麗登場！ 深陷谷底的心情，因渴望飄然升起， 這觸動心弦的情感名為「初戀」。

Discover and learn with Timmy and Tammy! Become an expert reader, explore your home and beyond, and have fun with this bestselling series!The library is not just a place to borrow books. Every trip to the library is a chance for Timmy and Tammy to learn something new! Come join in the fun!EVEL 1‧For emerging readers‧Contains simple sight words and words to sound outLEVEL 2‧For growing readers‧Contains more complex sight words and words to sound outLEVEL 3‧For confident readers‧Contains longer, high-interest stories

Discover and learn with Timmy and Tammy! Become an expert reader, explore your home and beyond, and have fun with this bestselling series!The library is not just a place to borrow books. Every trip to the library is a chance for Timmy and Tammy to learn something new! Come join in the fun!EVEL 1‧For emerging readers‧Contains simple sight words and words to sound outLEVEL 2‧For growing readers‧Contains more complex sight words and words to sound outLEVEL 3‧For confident readers‧Contains longer, high-interest stories

Discover and learn with Timmy and Tammy! Become an expert reader, explore your home and beyond, and have fun with this bestselling series!Join Timmy and Tammy as they take a ride on the MRT train. There is so much to see and hear. Let's go!LEVEL 1 • For emerging readers• Contains simple sight words and words to sound outLEVEL 2• For growing readers• Contains more complex sight words and words to sound outLEVEL 3• For confident readers• Contains longer, high-interest stories

Discover and learn with Timmy and Tammy! Become an expert reader, explore your home and beyond, and have fun with this bestselling series!Join Timmy and Tammy as they take a ride on the MRT train. There is so much to see and hear. Let's go!LEVEL 1 • For emerging readers• Contains simple sight words and words to sound outLEVEL 2• For growing readers• Contains more complex sight words and words to sound outLEVEL 3• For confident readers• Contains longer, high-interest stories

Discover and learn with Timmy and Tammy! Become an expert reader, explore your home and beyond, and have fun with this bestselling series!Timmy and Tammy love walking in the Botanic Gardens. How many animals can they spot? And, will they have fun with new friends? Let's find out!LEVEL 1• For emerging readers• Contains simple sight words and words to sound outLEVEL 2• For growing readers• Contains more complex sight words and words to sound outLEVEL 3• For confident readers• Contains longer, high-interest stories

Discover and learn with Timmy and Tammy! Become an expert reader, explore your home and beyond, and have fun with this bestselling series!Timmy and Tammy love walking in the Botanic Gardens. How many animals can they spot? And, will they have fun with new friends? Let's find out!LEVEL 1• For emerging readers• Contains simple sight words and words to sound outLEVEL 2• For growing readers• Contains more complex sight words and words to sound outLEVEL 3• For confident readers• Contains longer, high-interest stories

Abstract This book is a strategic analysis of Chinese chess application, particularly in political culture for the new Taiwanese during the KMT Ma administration I & II in Central Taipei. The research looks at the way that their political socialisation was affected by changes to the curricular guidelines for their citizenship courses (c.2008-2016). It seeks to show that citizenship education policy implementation in Taiwan had an over-scaled nationalist bias that impacted on foreign spouse learners. Fieldwork by means of in-depth interviews and classroom observations is integrated into a baseline analysis of governmental and NGO public discourses, marital immigration regulations and relevant reports. The book explicates the underlying cleavages in the struggles over pathways to citizenship that have created a complex series of links in the newcomers’ political socialisation. It thus examines how the Ma administrations addressed integration and dealt with related issues

宇然得知當初道賢是因母親而接下家教後， 感覺自己遭到了背叛，便決心結束這段關係。 然而道賢卻不想再次錯過宇然， 他向對方傾訴那段過往、坦承恐懼── 縱使你還無法原諒我， 往後我仍會溫柔堅定地向你表達我的愛意， 再次一步步拉近我們的距離。 與此同時，宇然是走後門入學的謠言四起， 他也因此飽受聞訊而來的記者騷擾。 當會長找到散播謠言的幕後主使，與兩人商討對策時， 宇然卻從中察覺到一絲不對勁…… 本書收錄番外〈保護者〉與〈外人〉。 ※知名作者Oneulbom老師系列作，繁體中文版幸福落幕☔！ ※無論繞了多遠的路，宇然的心之所向始終沒有改變 💘 ※道賢背上的拉丁文刺青的含意揭曉：「我有一個大──🤫」 想知道是什麼嗎？馬上手刀下單🛒 《Omega Complex》系列作　校園愛情幸福落幕！ 陰霾終於散去，曾結束的緣分得以延續， 就算季節再度更替，仍相伴彼此左右。

因為偶然間聽見的對話， 宇然以為自己在道賢心中或許並不特別。 決定放棄這段感情的同時，他心中產生了一個計劃： 利用費洛蒙讓道賢與自己共度一夜。 若這份感情終將無疾而終，至少留下對方的痕跡， 哪怕只是一場幻夢，都能成為永遠的回憶。 然而，道賢識破並拒絕了宇然的誘惑， 更令宇然震驚的是──對方早已認出了他。 那為什麼當年隱瞞自己是Alpha？又為什麼不揭穿？ 積壓的疑問終於爆發，宇然決定一一問清。 「我喜歡你，喜歡到甚至想用謊言留住你。」 道賢緊緊抱住宇然，給予他堅定的回應。 他們終於都將自己的心意坦誠相告， 不再錯過、不再逃避，勇敢地走向彼此。 ※知名作者Oneulbom老師系列作，繁體中文版精彩回歸🍿！ ※宇然被爆料是財閥後代？！ 宇然強勢的母親，宣正集團會長──池秀香登場！ ※隨書附贈：曖昧升溫電影票卡。 《Omega Complex》系列作　校園愛情火熱回歸🔥！ 即使最初是謊言，這份感情依然真實， 心動從未平息，只會更加洶湧。

與諾貝爾獎得主米歇爾·馬約爾一起回到過去，了解宇宙的秘密，並會見物理學界的偉人：牛頓、愛因斯坦等等。這本圖像小說的宇宙指南以任何人都能理解的方式解釋了複雜的想法。這是一本充滿冒險的書——以及人類曾經研究過的一些最重要的概念：重力波、相對論、黑洞…等等！書裡面有什麼：翻頁冒險在享受樂趣的同時了解物理知識簡單插圖中的複雜概念Go back in time with Nobel Prize laureate Michel Mayor to understand the secrets of the Universe and meet the great names in physics: Newton, Einstein and many more. This graphic novel guide to the Universe explains complex ideas in a way anyone can understand. It's a book full of adventure — as well as some of the most important concepts humankind has ever studied. On the program: gravitational waves, the theory of relativity, black holes... and more!What's inside:Page-turning adventureLearn about physics, while having funComplex concepts in simple illustrations

◎含112年統測程式設計實習試題與解析！◎全新編寫！名師帶你熟悉新課綱出題模式◎雙色編排＋圖說＋範例，系統化整理重點◎隨堂練習+主題實戰演練，邊學邊練好上手！本書根據108課綱十二年國民基本教育技術型高級中等學校電機與電子群課程綱要所摘要「程式設計實習」的學習重點而全新編寫，將相關程式元素的定義及用法清楚說明，包含基本觀念中的資料型態（Data types）、常數（Constants）、變數（Variables）、程式的組成（運算元、運算子）、控制結構（Control structures）、迴圈結構（Loop structures）、陣列與結構（Arrays and structures）、函式（Functions）、基礎資料結構（Basic data structures）；包含佇列（Queues）和堆疊（Stacks），以及物件導向結構（Object Oriented Structure）。針對不同程式語言，會有不同的開發環境，如果連開發環境都沒有，就沒有辦法練習寫程式，也就沒有機會發現自己的問題，所以擁有開發環境以及練習寫程式，是非常重要的。本書運用大量的範例，帶你透過實際的練習熟悉考試方向，你可以照著課文邊作練習，就能找出自己的盲點加以改進。總結來說，「程式設計實習」這項科目的主軸，就是先要清楚每個名詞的定義跟用法，透過課文內容的說明以及實際程式編譯（Compiler）練習，透過除錯（Debug）才能發現錯誤以及熟撚其用法。上戰場前，你也可以把這本書當作考前最後的衝刺，檢視各章節重點，針對比較不熟悉的題目，再次確認其原理及解題方式。最好的方式，就是在研讀各章節時，用自己的方式，整理好筆記及重點，做錯的題目要加以標記，以便在考前能快速瀏覽。＊＊＊＊有疑問想要諮詢嗎？歡迎在「LINE首頁」搜尋「千華」官方帳號，並按下加入好友，無論是考試日期、教材推薦、解題疑問等，都能得到滿意的服務。我們提供專人諮詢互動，更能時時掌握考訊及優惠活動！

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

This book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black–Merton–Schole

The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex ana

The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex ana

急著解決的事不難。 不急、但沒有頭緒的重大問題才考驗你如何使用邏輯與智力。 讀完本書，你會驚訝發現自己的思考有多易受限，判斷又多可能出錯！ 這本書不僅是要學習解決問題，更重要的是拓展思維。 它已協助許多大學生在專精領域之外，發展出如何處理問題的通才技能。 策略思考的問題解決能力是許多專業人士認為必要的技能，但卻不會出現在學校教育的專科課程裡。就連部分STEM（科學理工）學系出身的人，也往往缺乏這種「通才」的重要技能；他們往往無法釐清思緒、研究執行，甚而無法向工作團隊以簡明的語言「推銷」解決問題的方案。 原因是什麼？因為他們很少受過正式以問題分析並進行策略思考的系統性訓練。 擔任過企業諮詢顧問、並在大學任教的本書作者謝瓦里耶，將在這本書中由朋友的狗「哈利」走失開始，帶領讀者走過一趟完整的問題解決思考訓練，在書中，這樣的問題即是複雜（complex）、定義模糊（ill-defined）、非迫切（nonimmediate）的問題（簡稱為CIDNI問題） CIDNI問題在生活中並不是時時會出現──但這樣的問題往往正是考驗我們對問題解決的思考能力。對於這樣的問題，我們可以經由本書規劃的四大步驟及其工具進行探索與分析： 「找到你需要解決的問題」（What）。面對不熟悉的新狀況時，我們應先釐清真正的問題所在。我們時常以為對情況瞭若指掌，急著尋找解決辦法，但後來往往只會發現自己鎖定了錯的問題。 瞭解為何會遇到這個問題（Why）。釐清問題之後，接著是找出原因。學著從本書的「問題診斷分析圖」，將問題分解成不同面向，一次列舉所有可能肇因，再逐一檢驗假設後得出結論。 找出解決問題的可行方案（How）。明瞭問題癥結與原因後，主動尋找解決辦法。「解決方案分析圖」 能引導決策生成，從可能的解決辦法中挑選最理想的選項。 實際執行解決方案（Do）。要實際執行解決辦法，首要之務就是說服重要關係人，讓他們相信我們的結論正確無誤，本書最後會討論執行解決問題行動的考量事項，尤其著重於如何有效領導團隊。 現實中的難題沒有特定領域或形態，被教導著重特定領域的深度非壞事，但可能忽略了事情的廣度。「他山之石，可以攻錯。」培養有廣度的思維，是通才基礎，本書是結合了多種領域理論與實證的工具組合，以深入淺出的文字詳盡解說，正可提供一個廣泛適用的架構與必備工具，協助你更了解問題解決的思考之道。

一般大眾初學者以淺顯圖文介紹最新都市規劃科學的內涵都市規劃是一門正在演進的學科，然而學界及業界中相對少的人認識到這是一門科學。這本書彙整了作者過去35年來的研究成果，從複雜學的觀點以相對淺顯的圖文來說明都市規劃科學的內涵。自從2019年底新冠肺炎疫情席捲全球的都市後，正顯示出只有人們才是都市的靈魂，沒有考慮「人」的都市規劃是落空的。本書所介紹的都市規劃科學便是以「人」為出發點，探討社會科學針對人類選擇行為的解釋與自然科學針對複雜系統的理解，並將兩者整合成一系統性的都市規劃現象的描述與解釋。2021年諾貝爾物理學獎頒給三位從事複雜系統研究的學者，正說明了複雜學已獲得最高學術殿堂的認可。希望本書的出版能對有志探索人類如何面對都市複雜性的學術或專業規劃師有所幫助。■ 自序現代科學正進行著一場顛覆性的複雜性運動或革命，而這個運動或革命正在或已經影響了社會科學及自然科學許多領域的發展，包括都市規劃。因此，學界對都市及規劃的理解也產生了變化：都市不再是簡單的均衡系統，而是複雜的非均衡系統；規劃從過去強調空間、共識及控制的靜態描述轉而著重時間、結盟及計畫的動態過程(Hopkins, 2014)。此外學者也認為應用大數據及數位孿生的電腦科技從事都市規劃，仍然離不開以複雜性科學來理解都市的理論。尤有甚者，筆者在2018 年發現了四個I 與規劃作用及複雜性的邏輯關係，將規劃的概念與複雜性科學聯繫起來。四個I 表示都市發展決策的相關性(Interdependence)、不可逆性(Indivisibility)、不可分割性(Indivisibility) 以及不完全預見性(Imperfect Foresight)( 詳見本書第三章第五節)。具體而言，規劃發生作用為四個I 的充分條件，而四個I 又是複雜性的充分條件，因此規劃發生作用是複雜性的充分條件(Lai, 2018)。用一般的話來講，計畫在複雜系統中發生作用，但不是唯一的方式。這個發現也確立了四個I 與規劃及複雜度的關係；亦即四個I 同時是規劃投資及複雜度的指標，而這個邏輯關係貫穿了本書的理論架構。我書Planning within Complex Urban Systems (Lai, 2021) 及其姊妹作《複雜城市系統中的規劃原理：新觀點、新邏輯與新實驗》( 賴世剛，2022) 系統地整理了筆者過去35 年來的核心研究心得，以完整

This four-volume Major Work contains texts which explore both the foundations of latent variables and factor analysis, and specific contemporary challenges in the field.

Ruel V. Churchill 撰寫的複變函數與應用，理論與應用並重，出版以來，風行全球將近半個世紀，深受各界喜愛。本書第九版仍由第八版的作者，美國密西根大學數學系教授James Ward Brown 執筆，他根據多年的教學經驗，擷取各界人士的建議，做了大幅度的修正，使本書除了可當做教科書，也適合參考與自修之用。 本書有兩個主要的目標•首先詳述有關複變函數應用方面的理論。•其次是介紹留數與保角

Artificial neural networks are most suitable for solving problems that are complex, ill-defined, highly nonlinear, of many and different variables, and/or stochastic. Such problems are abundant in med

This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, d

This Book begins with the basics of geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, diffe

朋友！您要了解美國對華政策嗎？此刻推介您這部佳作。姑舉些主要內容：美國外交政策五原則、艾奇遜戰略外交、了解美國外交秘訣、周以德對付共匪的辦法、共匪反美真原因、何謂"Kremlinology"、妄想症患者陳毅、共匪反雀運動、"Yenan Complex"是啥、美國的越戰目標、艾森豪雙Ｐ政策、何種情況下反攻大陸、自由民主的價值、研究在知識和學問上的重要性等；剖析

This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayu

Uncertain computation is a system of computation and reasoning in which the objects of computation are not values of variables but restrictions on values of variables. --

Rao and all present a rigorous introduction to the theory of functions of one complex variable in a textbook for a graduate or undergraduate course. Courses in complex function theory are often postpo

Oral Medicine and Medically Complex Patients, Sixth Edition provides succinct, yet comprehensive information on in-hospital care and outpatient management of the medically complex dental patient, as w

This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social scienc

This book draws on a wide selection of interdisciplinary literature discussing complex adaptive systems - including scholarship from economics, political science, evolutionary biology, cognitive scien

Social Anthropology of Complex Societies

A text on complex analysis, treating important results from different angles, presenting a unique viewpoint on complex analysis: that of a geometric function theorist and a broadly trained and publish

The aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in c

The aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in c