Classical Complex Analysis

FLAC（Fast Lagrangian Analysis of Continua）憑藉其卓越的計算效能與高度彈性的模型建構能力，已成為岩土工程與相關學術領域中廣泛使用的數值分析工具之一。FLAC2D為FLAC3D的二維版本，除了解析維度的不同，兩者在操作邏輯、語法與功能設計上幾無差異，因此一旦掌握FLAC2D，也能迅速上手FLAC3D。　《FLAC2D理論與實務》一書的撰寫，旨在填補中文世界對此專業軟體系統性教材的缺口。無論是初學者還是進階使用者，本書皆能提供實用且深入的指引。全書由淺入深，內容涵蓋FLAC2D的基本操作流程與建模技巧，逐步引導讀者進入其理論基礎與運算邏輯。隨後透過指令與FISH程式語言的詳解，拓展至地下水模擬與結構分析等應用，最後以四個實務案例完整呈現模型建構、分析執行與結果解讀的全過程，並附上完整程式碼與圖示說明。此外，書末附錄提供兩項極具實用價值的工具：其一為常用指令及例句的彙整，方便偶爾使用者快速回顧操作語法；其二為岩土與結構材料性質參考值，供實務應用時參考引用。　本書的撰寫動機，來自於許多使用者對FLAC2D的「難上手」感受。作者認為，其主要原因在於使用說明缺乏系統性的介紹，導致初學者常有「不知從何開始」的困惑。因此，本書特別強調主題與操作的系統性，期望讀者能在理解理論的同時，靈活應用於實際工程中。適用對象：大地工程師、研究人員、大專院校師生與對數值模擬有興趣之專業人士。本書特色：˙無痛銜接FLAC3D˙系統化FLAC指令˙Fish語法操作流程˙範例演示及解析˙模型建構與分析技巧˙基礎理論˙進階應用˙常見錯誤排除策略

～專業推薦～Emeritus Editor of Information and Management (I&M) Prof. Patrick Y.K. ChauSingapore Institute of Management Prof. Kwok Kee WeiHamburg University of Technology Prof. Christian M. Ringle (SmartPLS開發者之一)Ludwig-Maximilians University, Germany Prof. Marko Sarstedt蕭教授在量化研究方法領域深耕多年，著作等身，對於結構方程模型（SEM）的研究與應用更是享譽學界。在本書中，他不僅系統性地介紹了 SPSS 的分析方法，亦詳盡闡述了最新的結構方程模型工具 SmartPLS 4，提供讀者深入理解並掌握現代統計分析技術的重要指南。對於有志於應用 SPSS 及 SEM 進行教學和學術研究的讀者而言，是一本不可多得的寶貴書籍。　------長庚大學 湯明哲校長------■ 國內第一本提供正確的多變量分析(含SPSS實務操作)的研究論文參考範例。■ 國內第一本全面介紹SmartPLS 4操作、CB-SEM & PLS-SEM結構方程模式的實用書。■ 以統計分析(多變量分析)為主軸，整合了理論的介紹、量化的研究、量表的發展、卡方檢定、因素分析、迴歸分析、區別分析和邏輯迴歸、單因子變異數分析、多變量變異數分析、典型相關分析、信度和效度分析、聯合分析多、元尺度和集群分析，第二代統計技術–結構方程模式(SEM) ，正確的多變量分析研究論文參考範例。■ 內容涵蓋SmartPLS 4基本操作、CB-SEM & PLS-SEM結構方程模式的學習範例、反映性和形成性指標與模式的指定、二階和高階因果關係、SEM結構方程模式實例、中介分析、調節分析、測量恆等性(Measurement Invariance)、MGA呈現的範例、內生性 (Endogeneity) ，混合方法Mixed method和論文結構與研究範例。■ 本書可作為統計分析和多變量分析的教科書，也是Hair, Black, Babin, and Anderson 所撰寫的 Multivariate data analysis Multivariate

聽，聲音中的單字密碼！你是否曾經背了很多單字到最後卻記不了幾個，或是常常搞混單字的意思與用法？其實，單字的意義就藏在聲音當中！透過本書的「音義聯想」，你可以輕鬆找到語音與單字之間的關係，用對方法、系統化學習單字，就能快又有效率，短時間讓字彙實力倍增。本書作者群依據多年的現場教學經驗與深厚的語言學理基礎，歸納出4種有效的單字學習法，經過實證，能夠讓學生更有效率也更有趣地學習單字，不但讓單字量急速增加，也同時提升了英語應試能力。1.典故法（allusive mnemonics）：引領讀者在故事中探索、學習單字。【例】有些借字受飲食文化影響，饒富異國風情，如：ketchup（番茄醬）、hamburger（漢堡）。2.單字分析法（word analysis）：透過分析單字的構成元素和意義，增強學習者對長難字的理解和記憶。【例】contradiction（反駁、矛盾）包含13個字母，4個有意義的元素：contra-（相反的）、dic（說）、-t（動詞字尾）、-ion（名詞字尾），合起來就是「說相反的話」，輕鬆聯想字義「反駁」、「矛盾」。3.語音轉換法（sound switching）：藉由發音部位相同或相似的語音轉換特性，達到學習字根、熟悉單字的目標。【例】father和pater都是「父親」的意思，/p/是雙唇音、/f/是唇齒音，彼此發音部位相近，可以互換，以單字father聯想字根pater，進而學習patron、patriotic等單字。4.語音表義法（sound symbolism）：有些單字的語意潛藏在聲音中，透過音或音群的語意象徵聯想事物，進而達到單字學習效果。【例】發/b/時要緊閉雙唇，短暫閉塞氣流，接著突然爆開雙唇，氣流自唇間衝出，震動聲帶而發出塞音或爆破音。因此，一些/b/起首的單字有「阻塞」或「阻礙」的意思，如：barrier（障礙物）。另外還有一些單字含有「爆破」的意思，如：bomb（炸彈）、burst（爆破）。正因為許多單字的發音和其意義之間有著密切關聯，往往一聽就能瞬間掌握單字的意思，透過「音義聯想」這種探究「聲音」與「意義」關係的語言學習方式，可以讓你的英語詞彙量迅速提升。【例1】母音 a 發音時，嘴巴張大，容易聯想到「大」母音 i 發音時，嘴型較閉合，會聯想到「小」如：macro 巨大的 vs. micro 縮微的【例2】子音 h 唸起來較費力，

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

滿足客戶常見的7大不明確需求。可依照風格做查詢の設計對應詞典。你說想要“可愛的„設計是指什麼……？本書將收到客戶委託設計時常見的7種設計風格需求分成不同章節，各個需求都列舉了數種答案，並詳細介紹。而且，每個答案的設計也都附上了製作時具體需要的「元素」。不只是能幫助大家導出設計的方向，也能在實際製作設計時派上用場。當客戶提出「模糊不清、曖昧不明的需求」時，翻開「目錄」頁面就能找到各個答案的代表作品範例。找到答案了，但客戶看了設計初稿後，又補充要求說「想要再稍微多一點〇〇的印象」⋯⋯，這時只要看看「紅字對應」頁就會知道怎麼做了。這裡會介紹修改的重點，讓原始的設計可以因應任何風格。 可愛感設計請這樣做！01-Girly-誰都會怦然心動的「典型可愛」女孩風，用水彩筆觸營造輕盈華麗。02-Feminine-大人也容易接受的女人味風格，雖然穩重但依然很「可愛」。03-Happy-令人不禁微笑的幸福風格，散發出不會太做作的可愛氣息。04-Lovely-愛心就是「可愛」圖形的絕對王者。盡情運用、徹底揮灑甜美吧！05-Dreamy-縹緲虛幻的夢幻風格，運用夜空或立體投影營造出幻境感。06-Pop-活力充沛的普普風，使用繽紛快樂的色彩，存在感也百分百！07-Hannari-溫暖、文靜、典雅。文雅地點綴和風元素，就會顯得很可愛。 時髦的設計請這樣做！01-Artistic-運用筆刷筆觸或手繪插圖營造華麗感。大膽配色是時髦的關鍵。02-Impact-時尚的視覺衝擊風格版面簡單，要呈現「景深」和「立體感」。03-Chic-用恰到好處的慵懶感，營造出隨興卻精緻的印象。04-Neo Retro-流行又吸睛的新復古風，鮮豔色彩有壓倒性的存在感！05-Subculture-以「裝飾文字」塑造印象的次文化風格，用輕盈色調引人深入不可思議的歡樂世界觀！06-Unique-感覺混沌卻又整合得剛剛好。獨一無二的時髦感令人沉迷。 高級感設計這樣呈現！01-Rich-豐裕風格拘謹且高雅，不令人生厭的「高級感」營造出微奢的氣氛。02-Party-閃耀亮粉中隱約散發出虛幻氣息，「細膩的高級感」令人沉醉。03-Classical-穩重厚實的古典風格，要用暗色調×金色營造出豪華感！04-High-class-頂級質感的奢華風，大膽的排版和俐落的表現令人沉浸在灰階色調蘊釀出的非現實感。05-Iki-日本和風與高級感

心理諮商創舉 取材自英國童話《柳林中的風聲》完美結合心理學的經典之作 授權10個語言版本，自1997年起長銷20多年 ──────── 只要我們的情緒真正獲得理解，就能有成長的機會 ──────── 藉由蛤蟆先生和心理師的10次諮商，演繹心理諮商全過程，見證療癒與改變的發生。 讓我們與蛤蟆先生一起走趟心靈成長的旅程，探索憂鬱與自卑、軟弱、愛炫耀的個性究竟來源於何處， 反思童年經歷的深刻影響，以及如何才能在心理上真正長大成人，獨立、自信、充滿希望地生活。 「每個人生下來都是王子，卻被父母變成青蛙。心理治療的目的，就是讓青蛙再變回王子。」──溝通分析創始人艾瑞克．伯恩（Eric Berne） 閱讀本書，將可深刻領略此句名言之妙，和蛤蟆先生一同經歷心理探險、重拾自我的洗禮。 【國外暢銷佳績/得獎紀錄】 英國亞馬遜網路書店心理諮商類暢銷 第1名 當當網心理學類暢銷榜 第1名 【內容簡介】 這本老少咸宜、令人愉悅的作品，角色取材自英國經典童話《柳林中的風聲》，作者將心理治療過程運用在動物主角們身上：主角蛤蟆先生因為憂鬱症而離群索居，好友河鼠、鼴鼠和老獾擔憂他可能會做傻事，大力慫恿他去找心理諮商師蒼鷺。蒼鷺運用溝通分析（Transactional Analysis）協助蛤蟆先生面對內在小孩和成人，學會分析自己的感覺，發展情緒智商。到了書末，他恢復了以前的開朗，展開全新的旅程。 故事中涵蓋憤怒、潛意識、自我審判、兒童的自我狀態、父母的自我狀態、成人的自我狀態，適應性兒童、挑剔型父母、共謀、情商等心理學理論。將心理知識巧妙融入故事情節，解析20多個心理學專業名詞、可說是展現心理諮商療程的標準範本。 【推薦文摘錄】 ★ 願每位讀者都能透過這本書重新與自己的內在對話，找回自己真正的模樣。就像蛤蟆先生一樣，找回真正自己內在的力量，魔法就能綻放！ ── 演員 姚愛? ★《蛤蟆先生去看心理師》這本書，來得正是時候，很適合正考慮去找心理師談談，但又充滿擔心、恐懼或疑惑的人閱讀。 ── 諮商心理師 陳志恆 ★ 無論你正在考慮接受諮商、學習諮商、或自己正在從事心理相關的工作，我都非常推薦這本天才著作！ ── 正向心理學專家 劉軒 【讀者好評】 ★ 本書筆觸可愛，清新易懂，包含著深邃哲思，讓人喜愛。 ★ 看起來很像童話，其實具有可怕的專業度。 ★ 讀完感覺很震撼，像是和蛤蟆先生一起看了一次諮商！ ★

With its emphasis on the argument principle in analysis and topology, this book represents a different approach to the teaching of complex analysis. The three-part treatment provides geometrical insig

An introduction to dimensional analysis, a method of scientific analysis used to investigate and simplify complex physical phenomena, demonstrated through a series of engaging examples.

This textbook is intended for a one semester course in complex analysis for upper level undergraduates in mathematics. Applications, primary motivations for this text, are presented hand-in-hand with

The Classical Stefan Problem: Basic Concepts, Modeling and Analysis with Quasi-Analytical Solutions and Methods, Second Edition provides the fundamental theory, concepts, modeling and analysis of the

Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: complex a

This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so-called half-wave operator. To keep the treatment self-contained, the author begins with a rapid review of Fourier analysis and also develops the necessary tools from microlocal analysis. This second edition includes two new chapters. The first presents Hörmander's propagation of singularities theorem and uses this to prove the Duistermaat–Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff.

The primary objective of this book is to study some of the research topics in the area of analysis of complex surveys which have not been covered in any book yet. It discusses the analysis of categori

This proceedings volume provides unique insights into the power of abstract methods and techniques in dealing successfully with a number of applications stemming from classical analysis and mathematic

Maximizing reader insights into the fundamentals of complex analysis, and providing complete instructions on how to construct and use mathematical tools to solve engineering problems in potential theo

The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis. It particularly emphasises the interpla

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon–Nikodym theorem is proved, and the differentiation of measures discussed.

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

This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman–Meyer theory; Carleson's resolution of the Lusin conjecture; Calderón's commutators and the Cauchy integral on Lipschitz curves. T

This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman–Meyer theory; Carleson's resolution of the Lusin conjecture; Calderón's commutators and the Cauchy integral on Lipschitz curves. T

This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman–Meyer theory; Carleson's resolution of the Lusin conjecture; Calderón's commutators and the Cauchy integral

This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and top

This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and pa

Analysis of 18th- and 19th-Century Musical Works in the Classical Tradition is a textbook for upper-level undergraduate and graduate courses in music analysis. It outlines a process of analyzing works

Analysis of 18th- and 19th-Century Musical Works in the Classical Tradition is a textbook for upper-level undergraduate and graduate courses in music analysis. It outlines a process of analyzing works

This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: effectively organizes the subject

This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as

Now in its fourth edition, the first part of this book is devoted to the basic material of complex analysis, while the second covers many special topics, such as the Riemann Mapping Theorem, the gamma

Complex Analysis with Applications to Flows and Fields presents the theory of functions of a complex variable, from the complex plane to the calculus of residues to power series to conformal mapping.

This book provides a practical guide to analysis of simple and complex method comparison data, using Stata, SAS and R. It takes the classical Limits of Agreement as a starting point, and presents it i

The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dim

A complete guide to carrying out complex survey analysis using R As survey analysis continues to serve as a core component of sociological research, researchers are increasingly relying upon data gat

This book generalises the classical theory of orthogonal polynomials on the complex unit circle, or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalised and treated in detail. The same topics are discussed for the different situation where the poles are located on the unit circle or on the extended real line. In the last chapter, several applications are mentioned including linear prediction, Pisarenko modelling, lossless inverse scattering, and network synthesis. This theory has many applications in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and in electrical engineering.

Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical l

This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis. In fact, throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems, bearing in mind that such problems indicate the current limitations of our knowledge and present challenges for the future. However, theories also lead to solutions of some problems and several such solutions are given including a comprehensive account of the geometric convolution theory. This is an ideal reference for graduate students and researchers working in this area.

This comprehensive textbook, now in its sixth edition, combines classical and matrix-based methods of structural analysis and develops them concurrently. New solved examples and problems have been add

After the pioneering work on complex dynamics by Fatou and Julia in the early 20th century, Noel Baker went on to lay the foundations of transcendental complex dynamics. As one of the leading exponents of transcendental dynamics, he showed how developments in complex analysis such as Nevanlinna theory could be applied. His work has inspired many others to take up this increasingly active subject, and will continue to do so. Presenting papers by researchers in transcendental dynamics and complex analysis, this book is written in honour of Noel Baker. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading f

Unlike other books on the modeling and analysis of experimental data, Design and Analysis of Experiments: Classical and Regression Approaches with SAS not only covers classical experimental design the