Multiscale Problems

The focus of this is on the latest developments related to the analysis of problems in which several scales are presented. After a theoretical presentation of the theory of homogenization in the perio

◎The first book in the world detailing the development history and clinical application of plasma exchange in solving aging problems.◎Heterochronic Parabiosis is science, not medical.◎If you are struggling with aging problems, this book will help you understand the root cause of the problems.◎代理經銷：白象文化更多精彩內容請見http://www.pressstore.com.tw/freereading/9786267018729.pdf

Known for its accuracy, clarity, and dependability, Meriam, Kraige, and Bolton's Engineering Mechanics: Statics, 9th Edition has provided a solid foundation of mechanics principles for more than 60 years. This text continues to help students develop their problem-solving skills with an extensive variety of engaging problems related to engineering design. In addition to new homework problems, the text includes a number of helpful sample problems.To help students build necessary visualization and problem-solving skills, the text strongly emphasizes drawing free-body diagrams, one of the most important skills needed to solve mechanics problems.

‧Current thoughts and concepts in marketing strategy formulation, based on constructs that have taken place in the field ‧Incorporation of global focus throughout the book ‧Discussion of problems and

Current research suggests that biology, psychology, culture, and social standing all contribute to alcohol and other drug (AOD) problems in women, yet few books show how to account for these factors d

Prepositions and adverb particles are often testing items in examinations. However, as examiners often point out, most students seem to have problems with the use of prepositions and adverb particles.

Prepositions and adverb particles are often testing items in examinations. However, as examiners often point out, most students seem to have problems with the use of prepositions and adverb particles.

Prepositions and adverb particles are often testing items in examinations. However, as examiners often point out, most students seem to have problems with the use of prepositions and adverb particles.

Prepositions and adverb particles are often testing items in examinations. However, as examiners often point out, most students seem to have problems with the use of prepositions and adverb particles.

Focusing on the conceptual understanding of mechanics, this exciting new text addresses developments in the methods of analyzing mechanics problems. It fully incorporates the highly sophisticated comp

Focusing on the conceptual understanding of mechanics, this exciting new text addresses developments in the methods of analyzing mechanics problems. It fully incorporates the highly sophisticated comp

This book brings together the stories of 12 extraordinary people that have one thing in common-they took the same route to success: the hard way. Who kept studying while fighting cancer? How did a deaf doctor continue to save the lives of babies? Appreciate the cosmos with Stephen Hawking. Look at things from Temple Grandin's perspective. Be encouraged by Joshua Miele's positive attitude and enthusiasm to help others. Let Our Overcomers inspire you to tackle obstacles with perseverance!This book features:• Farida Bedwei‧Ogino Ginko‧Temple Grandin• Stephen Hawking‧Joshua Miele‧Alfred Nobel• Tsuneko Okazaki‧Srinivasa Ramanujan‧Gitanjali Rao• Kamala Sohonie‧Helen Taussig‧B. VijayalakshmiCome explore the World of Science Heroes, featuring heroes in the fields of Science, Technology, Engineering and Mathematics. These inspiring figures from all over the globe used their skill or intellect to solve problems, rising above adverse circumstances to leave a lasting impact through their ground-br

This book brings together the stories of 12 extraordinary people that have one thing in common-they took the same route to success: the hard way. Who kept studying while fighting cancer? How did a deaf doctor continue to save the lives of babies? Appreciate the cosmos with Stephen Hawking. Look at things from Temple Grandin's perspective. Be encouraged by Joshua Miele's positive attitude and enthusiasm to help others. Let Our Overcomers inspire you to tackle obstacles with perseverance!This book features:• Farida Bedwei‧Ogino Ginko‧Temple Grandin• Stephen Hawking‧Joshua Miele‧Alfred Nobel• Tsuneko Okazaki‧Srinivasa Ramanujan‧Gitanjali Rao• Kamala Sohonie‧Helen Taussig‧B. VijayalakshmiCome explore the World of Science Heroes, featuring heroes in the fields of Science, Technology, Engineering and Mathematics. These inspiring figures from all over the globe used their skill or intellect to solve problems, rising above adverse circumstances to leave a lasting impact through their ground-br

當一對雙胞胎無法就誰的數學更好達成一致時，他們的父親給了他們一個令人困惑的問題。只要一點線索，誰會先找到答案？我是數學明星！系列包括具有挑戰性的數學難題，以故事形式呈現。透過引人入勝的故事情節，並使用各種數學啟發式技巧，逐步描述謎題，然後逐步解決，這些技巧也是世界著名的新加坡數學課程的一部分。透過插圖和引人入勝的故事情節，孩子們將學習數學啟發法，並受到啟發，堅持理解、表現和解決有趣的數學問題！系列特點：根據新加坡數學課程的規定，學習使用數學啟發法解決數學難題每本書都包含由 Yeap Ban Har 撰寫的解決問題指南When a pair of twins cannot agree on who is better in Maths, their father sets them a baffling problem. With just a few clues, who will find the answer first?The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Series features:Learn to solve difficult Maths problems using Maths heuristics, as ident

一位老師在畢業聚會上給她的小學六年級學生最後一個要解決的問題。學生能否齊心協力找出答案並圓滿結束最後一年的學習呢？我是數學明星！系列包括具有挑戰性的數學難題，以故事形式呈現。透過引人入勝的故事情節，並使用各種數學啟發式技巧，逐步描述謎題，然後逐步解決，這些技巧也是世界著名的新加坡數學課程的一部分。透過插圖和引人入勝的故事情節，孩子們將學習數學啟發法，並受到啟發，堅持理解、表現和解決有趣的數學問題！系列特點：根據新加坡數學課程的規定，學習使用數學啟發法解決數學難題每本書都包含由 Yeap Ban Har 撰寫的解決問題指南A teacher gives her Primary 6 class one last problem to solve during their graduation party. Can the pupils work together to figure out the answer and end their final year with a bang?The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Series features:Learn to solve difficult Maths problems usin

一位老師在畢業聚會上給她的小學六年級學生最後一個要解決的問題。學生能否齊心協力找出答案並圓滿結束最後一年的學習呢？我是數學明星！系列包括具有挑戰性的數學難題，以故事形式呈現。透過引人入勝的故事情節，並使用各種數學啟發式技巧，逐步描述謎題，然後逐步解決，這些技巧也是世界著名的新加坡數學課程的一部分。透過插圖和引人入勝的故事情節，孩子們將學習數學啟發法，並受到啟發，堅持理解、表現和解決有趣的數學問題！系列特點：根據新加坡數學課程的規定，學習使用數學啟發法解決數學難題每本書都包含由 Yeap Ban Har 撰寫的解決問題指南A teacher gives her Primary 6 class one last problem to solve during their graduation party. Can the pupils work together to figure out the answer and end their final year with a bang?The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Series features:Learn to solve difficult Maths problems usin

當一對雙胞胎無法就誰的數學更好達成一致時，他們的父親給了他們一個令人困惑的問題。只要一點線索，誰會先找到答案？我是數學明星！系列包括具有挑戰性的數學難題，以故事形式呈現。透過引人入勝的故事情節，並使用各種數學啟發式技巧，逐步描述謎題，然後逐步解決，這些技巧也是世界著名的新加坡數學課程的一部分。透過插圖和引人入勝的故事情節，孩子們將學習數學啟發法，並受到啟發，堅持理解、表現和解決有趣的數學問題！系列特點：根據新加坡數學課程的規定，學習使用數學啟發法解決數學難題每本書都包含由 Yeap Ban Har 撰寫的解決問題指南When a pair of twins cannot agree on who is better in Maths, their father sets them a baffling problem. With just a few clues, who will find the answer first?The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Series features:Learn to solve difficult Maths problems using Maths heuristics, as ident

This book is a comprehensive and easy to understand workbook. It utilizes step-by-step instructions to help guide readers to learn finite element simulations. Twenty seven case studies are used throughout the book. Many of these cases are industrial or research projects the reader builds from scratch. An accompanying DVD contains all the files readers may need if they have trouble. Relevant background knowledge is reviewed whenever necessary. To be efficient, the review is conceptual rather than mathematical, short, yet comprehensive. Key concepts are inserted whenever appropriate and summarized at the end of each chapter. Additional exercises or extension research problems are provided as homework at the end of each chapter.

Mathemagical Cruise is not a mere collection of fun problems with clever solutions. It offers shining examples of how to approach problem solving. Each chapter is independent and can be read in any order by everyone with a basic background in high school mathematics. Some highlights of the excursion are: ● Slick Solutions of Double Sequence, Klarner’s Puzzle, Cube Tour, etc.● Easy Proofs of Bolyai-Gerwin Theorem, Problem by P. Erdös and more● New Year Puzzles (Especially, Year 2021 & 2022)● Twelve Points on the Nine-Point Circle● What's a Point in a Square?● Five Circles through a 5x6 Grid● Generalization of Ceva's Theorem● Easy Approach to Coaxal Circles● Inversion and its Applications● Lattice Integer Triangles● Isbell's Problem● Sequence of Theorems of Simson & Cantor● Miscellaneous Problems with Solutions By cruising through these treasure islands, the reader will traverse mathematical boundaries. Be adventurous and inspired to explore the seas beyond the ho

讓我們一起加入唐三藏、孫悟空、豬八戒與其他朋友的大冒險！孫悟空很調皮，但和他在一起很有趣！看著唐三藏面對許多問題，並一步一步地克服它們。豬八戒非常努力地克服了自己的弱點，這點激勵了大家。那麼，你要一起加入這場旅程嗎？*本書互動功能需依書中說明下載APP(Snap Learn)後使用。Join Tripitaka, Sun Wukong, Zhu Bajie and many other friends on a great adventure! Sun Wukong might be mischievous, but he's fun to be with! Watch as Tripitaka faces a lot of problems and overcomes them, one step at a time. Be inspired by Zhu Bajie, who has many weaknesses and tries very hard to cope with them. So, are you in?

讓我們一起加入唐三藏、孫悟空、豬八戒與其他朋友的大冒險！孫悟空很調皮，但和他在一起很有趣！看著唐三藏面對許多問題，並一步一步地克服它們。豬八戒非常努力地克服了自己的弱點，這點激勵了大家。那麼，你要一起加入這場旅程嗎？*本書互動功能需依書中說明下載APP(Snap Learn)後使用。Join Tripitaka, Sun Wukong, Zhu Bajie and many other friends on a great adventure! Sun Wukong might be mischievous, but he's fun to be with! Watch as Tripitaka faces a lot of problems and overcomes them, one step at a time. Be inspired by Zhu Bajie, who has many weaknesses and tries very hard to cope with them. So, are you in?

一天，大腦裡負責施展魔法讓兔兔入睡的小黑出走了！兔兔再也無法睡覺！怎麼辦？一天、兩天、三天……失眠兔日間動作慢吞吞，夜裡感到孤零零。想盡辦法，卻仍無法進入夢鄉，大家有什麼好點子？如果合眾人之力，問題還是無法解決，那世界是否要末日了？我們常教導孩子要努力克服困難，但萬一世界上有無論如何再努力也無法克服的困難呢？那可以怎麼辦？無法達成的心願、無法改變的事實、無法……面對這一座座大山，歸根究柢，更需要調適心態！In "The Sleepless Bunny," the magic once soothing Bunny to sleep vanishes, leading to restless nights and lonely days. Despite endless efforts, relief is elusive. Could some problems be truly unsolvable? This touching tale explores the transformative power of adjusting our mindset when facing the unchangeable.

作為訓練的一部分，一名年輕的弟子受到老師的挑戰，要求他在沒有任何測量工具的情況下找到碗的直徑。他能有辦法在晚餐前找到答案嗎？我是數學明星！系列包括具有挑戰性的數學難題，以故事形式呈現。透過引人入勝的故事情節，並使用各種數學啟發式技巧，逐步描述謎題，然後逐步解決，這些技巧也是世界著名的新加坡數學課程的一部分。透過插圖和引人入勝的故事情節，孩子們將學習數學啟發法，並受到啟發，堅持理解、表現和解決有趣的數學問題！系列特點：根據新加坡數學課程的規定，學習使用數學啟發法解決數學難題每本書都包含由 Yeap Ban Har 撰寫的解決問題指南As part of his training, a young disciple is challenged by his master to find the diameter of a bowl — but without any measuring tools. Can he find a way to obtain the answer before dinnertime?The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Series features:Learn to solve difficult Maths

作為訓練的一部分，一名年輕的弟子受到老師的挑戰，要求他在沒有任何測量工具的情況下找到碗的直徑。他能有辦法在晚餐前找到答案嗎？我是數學明星！系列包括具有挑戰性的數學難題，以故事形式呈現。透過引人入勝的故事情節，並使用各種數學啟發式技巧，逐步描述謎題，然後逐步解決，這些技巧也是世界著名的新加坡數學課程的一部分。透過插圖和引人入勝的故事情節，孩子們將學習數學啟發法，並受到啟發，堅持理解、表現和解決有趣的數學問題！系列特點：根據新加坡數學課程的規定，學習使用數學啟發法解決數學難題每本書都包含由 Yeap Ban Har 撰寫的解決問題指南As part of his training, a young disciple is challenged by his master to find the diameter of a bowl — but without any measuring tools. Can he find a way to obtain the answer before dinnertime?The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Series features:Learn to solve difficult Maths

身處國際地緣政治的咽喉要地，臺灣未來該往哪裡走？本書提出國政治理的關鍵議題、挑戰和機會。完成本書的作者是國內規模最大、歷史最悠久的公共行政相關系所──國立臺北大學公共行政暨政策學系。本書從憲政體制、政治思潮談起，進而深入國家資源分配、運作效能和公民參與的關鍵議題。特色在於採用3P架構來進行撰寫，promise為理論基礎或原則，problems為當前所面臨的問題，prospects為前瞻性建議。再者，本書以聯合國「善治」（good governance）的八項條件開展各章撰寫，企圖以知識分子的力量追求國家的「富」與「強」。其次，本書作者包括學術界以及借調政府的教師，授予作者博士學位的國家涵蓋臺灣、日本、美國、英國與德國等五國，此一組成在臺灣學術界中深具特色。最後，全書由同一系所教師共同完成此一「一系一書」的做法，也堪稱「創舉」。

人生是個改變的過程，你想改變嗎？請看本書十二派學者提供給你的解套之道薩提爾家族諮商理論「人們具有需要克服困難和成長的內在資源。『希望』是改變的重要元素」＂We all have the internal resources we need to cope successfully and to grow.Hope is a significant component or ingredient for change.＂鮑恩家族系統理論「當你改變自己的同時也就改變了對方」"Changing oneself ultimately leads to substantive changes in others as well.”海利策略家族諮商「必須要有行動，改變才會跟著發生」”Action must be taken if change is to happen.”米努欽的結構家族諮商理論「光談論問題不會讓改變發生，只有透過面對處理，改變才會發生」”Change is expected to occur as a result of dealing with the problems, rather than talking about them.”焦點解決諮商理論「改變之道是要去打破那一直想解決問題的循環裡」”To change it then attempts to break up the escalating cycle of the attempted solution.”敘事諮商理論「每個人都是依照其所說的故事在過人生」「透過改變訴說這些故事的方式不僅會改變講述者，也會讓榮幸聽到這些故事的諮商師有所改變」“Persons live their lives by stories” “The stories will not only change the teller in the telling but will also change the counselor as a privileged audience of the tale.”動機性晤談諮商理論「當你猶豫不決並充滿矛盾時，你已經離改變又靠近一步了」" If you are ambivalent, you’ re one step closer to changing. "合作取向諮商「改變是通過對

《綠色運動歷險記》身臨其境的接觸21世紀最緊迫的環境問題，以及如何解決這些問題的各種方案。為什麼我們應該關心森林砍伐、霧霾和塑膠垃圾？我們要如何才能負責任地管理水和電等資源？種一棵樹，做再生紙，對一次性用品說「不」！騎著自行車繞著地球上的綠色城市走一圈！從扭轉環境破壞到推廣環保能源，體驗綠色運動的鼓舞人心的廣大影響!*本書擴增實境(AR)互動功能，需依書中說明下載APP(Snap Learn)後使用。Adventures in the Green Movement is an immersive encounter with some of the most pressing environmental issues of the 21st century, and the wide variety of solutions aimed at addressing those problems. Why should we be concerned about deforestation, haze and plastic waste? How can we manage resources like water and electricity responsibly? Plant a tree, make recycled paper, and say "no" to single-use disposable items! Ride a bike around one of the planet's green cities! From reversing environmental damage to promoting eco-friendly sources of energy, experience the inspiring impact of the green movement as never before!

《綠色運動歷險記》身臨其境的接觸21世紀最緊迫的環境問題，以及如何解決這些問題的各種方案。為什麼我們應該關心森林砍伐、霧霾和塑膠垃圾？我們要如何才能負責任地管理水和電等資源？種一棵樹，做再生紙，對一次性用品說「不」！騎著自行車繞著地球上的綠色城市走一圈！從扭轉環境破壞到推廣環保能源，體驗綠色運動的鼓舞人心的廣大影響!*本書擴增實境(AR)互動功能，需依書中說明下載APP(Snap Learn)後使用。Adventures in the Green Movement is an immersive encounter with some of the most pressing environmental issues of the 21st century, and the wide variety of solutions aimed at addressing those problems. Why should we be concerned about deforestation, haze and plastic waste? How can we manage resources like water and electricity responsibly? Plant a tree, make recycled paper, and say "no" to single-use disposable items! Ride a bike around one of the planet's green cities! From reversing environmental damage to promoting eco-friendly sources of energy, experience the inspiring impact of the green movement as never before!

當老師雪麗爾小姐調皮地為她學生的父母設計一個測試IQ難題時，她的學生很高興地發現她的父母能夠迅速解決這個問題。但是，他們是怎麼做到的呢？讓我們一起來找出答案！《我是數學明星！》系列作者群是由新加坡過立教育學院(NIE)教授們所組成，系列書以故事形式呈現具有挑戰性的數學難題，透過引人入勝的故事情節，並使用各種數學啟發式教學技巧，逐步描述並帶領讀者解決難題，這些教學技巧也是新加坡知名的數學教學的一部分。透過插圖和有趣的故事情節，小讀者將在學習數學的路上受到啟發，提升理解力、學習數學表示和解決有趣的數學問題！本書附有知名數學教師Yeap Ban Har 博士所提供的課後習題與解答。When Miss Cheryl the teacher cheekily sets an IQ puzzle for her student's parents, her student is delighted to find that her parents are able to solve it quickly. But, how did they do it? Let's find out!The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Includes a Gu

當老師雪麗爾小姐調皮地為她學生的父母設計一個測試IQ難題時，她的學生很高興地發現她的父母能夠迅速解決這個問題。但是，他們是怎麼做到的呢？讓我們一起來找出答案！《我是數學明星！》系列作者群是由新加坡過立教育學院(NIE)教授們所組成，系列書以故事形式呈現具有挑戰性的數學難題，透過引人入勝的故事情節，並使用各種數學啟發式教學技巧，逐步描述並帶領讀者解決難題，這些教學技巧也是新加坡知名的數學教學的一部分。透過插圖和有趣的故事情節，小讀者將在學習數學的路上受到啟發，提升理解力、學習數學表示和解決有趣的數學問題！本書附有知名數學教師Yeap Ban Har 博士所提供的課後習題與解答。When Miss Cheryl the teacher cheekily sets an IQ puzzle for her student's parents, her student is delighted to find that her parents are able to solve it quickly. But, how did they do it? Let's find out!The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Includes a Gu

《我是數學明星！》系列作者群是由新加坡國立教育學院(NIE)教授們所組成，系列書以故事形式呈現具有挑戰性的數學難題，透過引人入勝的故事情節，並使用各種數學啟發式教學技巧，逐步描述並帶領讀者解決難題，這些教學技巧也是新加坡知名的數學教學的一部分。透過插圖和有趣的故事情節，小讀者將在學習數學的路上受到啟發，提升理解力、學習數學表示和解決有趣的數學問題！本書附有知名數學教師Yeap Ban Har 博士所提供的課後習題與解答。The I'm a Math Star! series comprises challenging Math puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Math heuristic techniques that are also taught as part of the world renowned Singapore Math curriculum. Through illustrations and an engaging storyline, children will learn Math heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Math problems!

《多巴胺國度》簡介美國暢銷20萬本成功戒癮的經典之作揭露人們在慾望國度中的瘋狂歷險、所付出的代價，以及，如何平安歸來。滑手機、瘋購物、狂自慰，我們身處誘惑太多的時代，早已成癮卻無法自拔。這本書要談成癮的爽、戒癮的痛，以及爽痛之間如何取得平衡。 滑手機、熬夜追劇、大吃大喝、瘋狂消費，成為辛苦一天之後必備的自我慰勞；然而，我們已經網路成癮、購物成癮，或是酒癮、性成癮上身，卻不自知。 這不是我們的錯，而是多巴胺（dopamine）的問題。 多巴胺是一種神經傳導物質，要讓大腦釋放多巴胺很簡單，只要你做一件事情能讓自己開心就行了，像是上網、吃喝玩樂、盡情購物。不過，多巴胺會逐漸減少，需要更多的慾望、更強的刺激才行，也因此讓人愈來愈痛苦。 如果我們發現自己上網時間愈來愈長、暴飲暴食的次數愈來愈多、喝下肚的酒愈來愈烈、購物次數愈來愈頻繁，很有可能已經成癮。 安娜‧蘭布克醫師（Dr. Anna Lembke）是史丹佛大學醫學院精神科暨成癮醫學教授，也是史丹佛戒癮診所的主任，她以協助成癮者戒癮的多年經驗，在徵得病患同意之下，將她協助酒癮者、毒癮者、性成癮者如何戒癮的案例納入本書，詮釋慾望的來源、成癮的問題和戒癮的過程。 蘭布克醫師指出，在我們的腦中，爽快和痛苦如同翹翹板的兩端，當一端受到過度刺激，另一端就會翹起，多巴胺分泌的多寡影響爽與痛的平衡，一旦打亂，就會導致爽痛失衡。 她坦言，自己曾經有一段時間沉迷於閱讀網路言情小說，這個經驗讓她更了解，多巴胺導致我們在成癮的爽快與戒癮的痛苦之間擺盪。她發現，如果「痛」是為了「爽」而必須付出的代價，「爽」就是「痛」過之後兌換到的獎勵。 蘭布克醫師在書中整理出一套方法協助成癮者有效戒癮，這八個步驟的英文首字剛好對應多巴胺 DOPAMINE，包括：資料（Data）、目的（Objectives）、問題（Problems）、禁慾（Abstinence）、正念（Mindfulness）、洞見（Insight）、下一步（Next steps）和實驗（Experiment）。 身處充滿各種刺激的環境之中，究竟我們要如何不受到多巴胺過度控制，在成癮的爽快和戒癮的痛苦之間取得平衡？答案就在這本書。◎專文推薦◎沈政男｜精神科醫師、專欄作家蔡宇哲｜「哇賽！心理學」創辦者兼總編輯蔡振家｜臺灣大學音樂學研究所專任教師《多巴胺國度實踐篇》簡介防止成癮，從

防止成癮，從自己做起，我們就能讓這整個世界煥然一新。預估到了2040年，日常的休閒時間在美國會達到7.2小時，工作時數則會僅剩3.8小時。人類生活的更富足、更新奇，需要更強的刺激才有快感。換句話說，就是人們會比現在更容易上癮。我們活在一個基本生存需求獲得充分滿足的時代，用在食、衣、住、行、育、樂的可支配所得、下班後的休閒時間都是如此。然而，生活過度富足本身就是一種壓力源，導致人們成癮、憂鬱、焦慮和自殺的比率上升。各種調查報告都告訴我們，人類比起三十年前，更不快樂、更憂鬱，也更焦慮。令人費解的是，一個國家愈是富有，心理健康治療愈是普及，國民就愈不快樂、憂鬱和焦慮。本書作者蘭布克醫師將這個現象稱為「富足的矛盾」（Plenty Paradox），生活過度豐足讓人們持續暴露在唾手可得的快感之中，導致大腦發生了改變。她提醒我們，當我們在做喜歡的事情的時候，像是追劇、滑手機、打電玩，大腦會釋出少量的多巴胺這種獎勵的神經傳導物質，讓我們感覺到「爽」。但是，神經科學發現在大腦裡，「爽」和「痛」是在同一個區域處理。大腦非常努力地想要維持「爽」和「痛」的平衡。一旦這個翹翹板偏向了某一邊，我們的大腦就會設法倒向另一邊，試圖恢復翹翹板的平衡。DOPAMINE是多巴胺的英文，也是一組英文字首縮寫，書中的每一章都對應DOPANINE裡一個不同的字母，它們分別是：Data（資料）、Objectives（目的）、Problems（問題）、Abstinence and Asceticism（禁慾和苦行）、Mindfulness（正念）、Insight (and Radical Honesty)（病識感［和徹底的誠實］）、Next Steps（下一步），和Experiment（實驗）。本書希望提供「爽痛平衡」的資源，讓每個人都可以從自己做起，協助所有人在這個爽痛拉鋸環境中，找出自己的一條路。蘭布克醫師建議閱讀本書的順序是： 1.第一到第四章讀完並做完所有練習，然後再進行第四章中介紹的多巴胺齋戒； 2.在多巴胺齋戒期間，讀完第五和第六章； 3.在多巴胺齋戒的尾聲，讀完第七章和第八章。她建議讀者，這本實踐篇的任何一個部分，都沒有你必須要去完成的特定時間線，你完全可以自己決定自己的速度。做習題的時候，

美國暢銷20萬本成功戒癮的經典之作揭露人們在慾望國度中的瘋狂歷險、所付出的代價，以及，如何平安歸來。滑手機、瘋購物、狂自慰，我們身處誘惑太多的時代，早已成癮卻無法自拔。這本書要談成癮的爽、戒癮的痛，以及爽痛之間如何取得平衡。 滑手機、熬夜追劇、大吃大喝、瘋狂消費，成為辛苦一天之後必備的自我慰勞；然而，我們已經網路成癮、購物成癮，或是酒癮、性成癮上身，卻不自知。 這不是我們的錯，而是多巴胺（dopamine）的問題。 多巴胺是一種神經傳導物質，要讓大腦釋放多巴胺很簡單，只要你做一件事情能讓自己開心就行了，像是上網、吃喝玩樂、盡情購物。不過，多巴胺會逐漸減少，需要更多的慾望、更強的刺激才行，也因此讓人愈來愈痛苦。 如果我們發現自己上網時間愈來愈長、暴飲暴食的次數愈來愈多、喝下肚的酒愈來愈烈、購物次數愈來愈頻繁，很有可能已經成癮。 安娜‧蘭布克醫師（Dr. Anna Lembke）是史丹佛大學醫學院精神科暨成癮醫學教授，也是史丹佛戒癮診所的主任，她以協助成癮者戒癮的多年經驗，在徵得病患同意之下，將她協助酒癮者、毒癮者、性成癮者如何戒癮的案例納入本書，詮釋慾望的來源、成癮的問題和戒癮的過程。 蘭布克醫師指出，在我們的腦中，爽快和痛苦如同翹翹板的兩端，當一端受到過度刺激，另一端就會翹起，多巴胺分泌的多寡影響爽與痛的平衡，一旦打亂，就會導致爽痛失衡。 她坦言，自己曾經有一段時間沉迷於閱讀網路言情小說，這個經驗讓她更了解，多巴胺導致我們在成癮的爽快與戒癮的痛苦之間擺盪。她發現，如果「痛」是為了「爽」而必須付出的代價，「爽」就是「痛」過之後兌換到的獎勵。 蘭布克醫師在書中整理出一套方法協助成癮者有效戒癮，這八個步驟的英文首字剛好對應多巴胺 DOPAMINE，包括：資料（Data）、目的（Objectives）、問題（Problems）、禁慾（Abstinence）、正念（Mindfulness）、洞見（Insight）、下一步（Next steps）和實驗（Experiment）。 身處充滿各種刺激的環境之中，究竟我們要如何不受到多巴胺過度控制，在成癮的爽快和戒癮的痛苦之間取得平衡？答案就在這本書。

Nassehi (Loughborough U., Britain) and Parvazinia (Iran Polymer and Petrochemical Institute) set out an account of the development of a class of practical multiscale weighted residual finite element s

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