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  • AI會給答案，我們怎樣知道它是對的

    由 梁承裕 ……
    系列 第 3 冊 - AI 時代，我們重新問一次
    AI 給出的答案語氣完整、排版漂亮，甚至附上推導和來源。問題是：我們憑甚麼相信它？一條方程式推導正確，不代表程式沒有寫錯；程式準確執行，也不代表模型適合現實。幾個不同層次的「對」，不能共用同一個剔號。《AI 會給答案，我們怎樣知道它是對的？》從一個看似微不足道的例子開始：為甚麼電腦裏的 0.1 加 0.2 不一定剛好等於 0.3？由捨入、離散化和數值誤差，逐步走到誤差放大、條件數、程式核實、模型確認、敏感度、適用範圍及可追溯記錄。讀者會看到，一張高解像度模擬圖可以很有說服力，卻仍未必構成證據。本書亦處理更棘手的情況：沒有標準答案時，是否只剩下各說各話？AI 能否替另一個 AI 改卷？當模型比你更熟悉某個領域，你又怎樣發現它越過了自己的能力邊界？答案不是要求每個人成為全科專家，而是建立分層防線，把權威來源、可執行工具、專業覆核、限制權限、持續監察和回退安排放在正確位置 …… 閱讀更多內容

    $31.18 HKD

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  • Math Games with Bad Drawings

    75 1/4 Simple, Challenging, Go-Anywhere Games—And Why They Matter

    由 Ben Orlin ……
    Bestselling author and worst-drawing artist Ben Orlin expands his oeuvre with this interactive collection of mathematical games. With 70-plus games, each taking a minute to learn and a lifetime to master, this treasure trove will delight, educate, and entertain.From beloved math popularizer Ben Orlin comes a masterfully compiled collection of dozens of playable mathematical games.This ultimate …… 閱讀更多內容

    $106.29 HKD

  • The Joy Of X

    A Guided Tour of Math, from One to Infinity

    由 Steven Strogatz ……
    “Delightful . . . easily digestible chapters include plenty of helpful examples and illustrations. You'll never forget the Pythagorean theorem again!”—Scientific AmericanMany people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series …… 閱讀更多內容

    $94.79 HKD

  • Birth of a Theorem

    A Mathematical Adventure

    由 Cédric Villani ……
    “This man could plainly do for mathematics what Brian Cox has done for physics” — Sunday TimesHow does a genius see the world? Where and how does inspiration strike?Cédric Villani takes us on a mesmerising adventure as he wrestles with the Boltzmann equation – a new theorem that will eventually win him the most coveted prize in mathematics and a place in the mathematical history books. Along the …… 閱讀更多內容

    $112.39 HKD

  • Big Bang

    由 Simon Singh ……
    The bestselling author of Fermat’s Last Theorem and The Code Book tells the story of the brilliant minds that deciphered the mysteries of the Big Bang. A fascinating exploration of the ultimate question: how was our universe created?Albert Einstein once said: ‘The most incomprehensible thing about the universe is that it is comprehensible.’ Simon Singh believes geniuses like Einstein are not the …… 閱讀更多內容

    $75.99 HKD

  • Math for English Majors

    A Human Take on the Universal Language

    由 Ben Orlin ……
    In this trailblazing work from the internet’s most empathetic math teacher, Ben Orlin unravels the secrets behind the world’s most confounding language.Math, it is said, is the "universal language.” But if a language brings people together, why does math make so many of us feel so alone? In Math for English Majors, bestselling author Ben Orlin (Math with Bad Drawings) offers fresh insights for the …… 閱讀更多內容

    $99.69 HKD

  • Differential Geometry Of Curves And Surfaces

    由 Masaaki Umehara, Kotaro Yamada, Wayne Rossman ……
    'In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual and interesting course. The primary function of this book will be as a text for a more conventional course in the classical theory of curves and surfaces.'MAA ReviewsThis engrossing volume on curve and surface theories is the result of many …… 閱讀更多內容

    $265.79 HKD

  • Lecture Notes On Mathematical Olympiad Courses: For Junior Section (In 2 Volumes) - Volume 2

    由 Jiagu Xu ……
    系列 第 6 冊 - Mathematical Olympiad Series
    Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics …… 閱讀更多內容

    $147.69 HKD

  • Lecture Notes On Mathematical Olympiad Courses: For Junior Section (In 2 Volumes) - Volume 1

    由 Jiagu Xu ……
    系列 第 6 冊 - Mathematical Olympiad Series
    Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics …… 閱讀更多內容

    $147.69 HKD

  • GRADE 9 (MPM1D) SECONDARY SCHOOL MATHEMATICS TESTS AND EXAMS

    INCLUDING MR W'S EASY TO FOLLOW STEP BY STEP SOLUTIONS

    由 Dennis Weichman ……
    系列 series MR W'S MATH STUDY GUIDES
    WHO IS MR.W?Dennis Irwin Weichman (MR. W) holds a Bachelors degree and Masters degree in mathematics from the University of Western Ontario. His series of Math Study Guides capture his teaching methodology best practices from 30 years as a high school teacher and 20 years as a private math tutor.It all started with the idea of simplifying the process of teaching math using a step by step approach. …… 閱讀更多內容

    $116.99 HKD

  • 我的幾何人生：從貧窮少年到數學皇帝，丘成桐自傳

    The Shape of a Life: One Mathematician's Search for the Universe's Hidden Geometry

    由 丘成桐, 史蒂夫・納迪斯（Steve Nadis） ……
    譯者: 夏木清 ……
    「在哈佛，丘成桐一個人就是一個數學系！」——美國數學家 Isadore Singer丘成桐是當代最具影響力的數學家，成就卓越，獲獎無數，被紐約時報譽為「數學皇帝」。他在27歲時破解卡拉比猜想，30歲即成為普林斯頓大學終身教授，33歲更榮獲菲爾茲獎，是首位華人得主。他的研究為包括幾何學、弦論、廣義相對論眾多領域都提供洞見，也為黑洞理論做出重要貢獻。《我的幾何人生》以直率而真誠的筆觸，紀錄這位傑出數學家與眾不同、充滿意外的勵志故事與傳奇人生。書中講述他如何從貧窮的中國鄉村成長，因父親早逝，由母親一手撫養，度過顛沛流離的貧困童年。而後遠渡重洋，在異國求學，並在27的年輕之姿，在世界數學界一鳴驚人，獲得美國頂尖大學教職，並不斷解決科學上的難題，取得驚人突破。除了舉世矚目的個人成就外，他更投入大量的精力與心血，支持青年學子，培養新一代的數學家。丘成桐也特別撰寫〈我與臺灣〉篇章 …… 閱讀更多內容

    $102.93 HKD

  • The Best Writing on Mathematics 2021

    由 Mircea Pitici ……
    系列 series The Best Writing on Mathematics
    The year’s finest mathematical writing from around the worldThis annual anthology brings together the year’s finest mathematics writing from around the world—and you don’t need to be a mathematician to enjoy the pieces collected here. These essays—from leading names and fresh new voices—delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into …… 閱讀更多內容

    $141.09 HKD

  • Inteligencia matemática

    由 Eduardo Sáenz de Cabezón ……
    "¿Quién leería un libro sobre matemáticas sin que le obliguen?", se preguntará el lector de este libro. Porque al leer sobre ellas se corren varios riesgos… Tal vez cambiemos nuestra idea sobre las matemáticas, con las que hemos vivido tan cómodamente todo este tiempo, y es posible que terminen por gustarnos. Este libro te mostrará que las matemáticas no son tan odiosas como aparentan; en ellas …… 閱讀更多內容

    $68.00 HKD 透過 Kobo Plus 免費享用

  • Conformal Mapping

    Methods and Applications

    由 Roland Schinzinger, Patricio A. A. Laura ……
    系列 series Dover Books on Mathematics
    Beginning with a brief survey of some basic mathematical concepts, this graduate-level text proceeds to discussions of a selection of mapping functions, numerical methods and mathematical models, nonplanar fields and nonuniform media, static fields in electricity and magnetism, and transmission lines and waveguides. Other topics include vibrating membranes and acoustics, transverse vibrations and …… 閱讀更多內容

    $185.39 HKD

  • Elasticity and Plasticity

    The Mathematical Theory of Elasticity and The Mathematical Theory of Plasticity

    由 J. N. Goodier, P. G. Hodge, Jr. ……
    系列 series Dover Books on Mathematics
    This volume comprises two classic essays on the mathematical theories of elasticity and plasticity by authorities in this area of engineering science. Undergraduate and graduate students in engineering as well as professional engineers will find these works excellent texts and references.The Mathematical Theory of Elasticity covers plane stress and plane strain in the isotropic medium, holes and …… 閱讀更多內容

    $82.99 HKD

  • Tre in Uno

    Piccola Enciclopedia della Matematica “Intrigante”

    由 Pellegrino, Zuccheri ……
    系列 series Matematica Intrigante
    La matematica, questa sconosciuta o, peggio, misconosciuta!La incontriamo tutti fin dalla più tenera età, quando cominciamo a balbettare “uno, due, ...”, e ci è compagna sui banchi di scuola fin dalla prima elementare, eppure per molti rimane una cosa misteriosa, fredda e distante al punto da averne paura!Per fortuna, dalla notte dei tempi, non per tutti è stato così e l’homo mathematicus ha …… 閱讀更多內容

    $45.99 HKD 透過 Kobo Plus 免費享用

  • Introduction to Hamiltonian Fluid Dynamics and Stability Theory

    由 Gordon E Swaters ……
    系列 series Monographs and Surveys in Pure and Applied Mathematics
    Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. Until now, however, no single reference addressed and provided background in both of these closely linked subjects. Introduction to Hamiltonian Fluid Dynamics and Stability Theory does just that-offers a comprehensive introduction to Hamiltonian fluid dynamics and …… 閱讀更多內容

    $742.29 HKD

  • Infinite Ascent

    A Short History of Mathematics

    由 David Berlinski ……
    系列 第 22 冊 - Modern Library Chronicles
    In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure.Berlinski focuses on the ten most important breakthroughs in mathematical history–and the men behind them. Here are Pythagoras, intoxicated …… 閱讀更多內容

    $82.39 HKD

  • Algebra II Workbook For Dummies

    由 Mary Jane Sterling ……
    Boost your chances of scoring higher at Algebra IIAlgebra II introduces students to complex algebra concepts in preparation for trigonometry and calculus. In this new edition of Algebra II Workbook For Dummies, high school and college students will work through the types of Algebra II problems they'll see in class, including systems of equations, matrices, graphs, and conic sections. Plus, the …… 閱讀更多內容

    $118.00 HKD

  • Everyday Mathematics for Parents

    What You Need to Know to Help Your Child Succeed

    由 The University of Chicago School Mathematics Project ……
    "A substantial resource that will allow parents to develop a broader and deeper understanding of the curriculum's philosophy, emphasis, and structure." —Stacy Brown, California State Polytechnic University, PomonaThough used in 185,000 classrooms by almost three million students, the Everyday Mathematics (EM) program often leaves parents perplexed. The curriculum isn't linear, but rather spirals …… 閱讀更多內容

    $101.09 HKD 透過 Kobo Plus 免費享用

  • The Penguin Dictionary of Curious and Interesting Numbers

    由 David Wells ……
    Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 …… 閱讀更多內容

    $107.59 HKD

  • Mathmagicians

    How Maths Applies to Everything

    由 Johnny Ball ……
    系列 series Big Questions
    From ancient mathematicians to modern trailblazers, join television legend Johnny Ball on an incredible and exciting adventure as he teaches you maths!Numbers are used in everyday life for many vital functions, from making scientific breakthroughs to equally dividing that last piece of pie. Mathematics need not be seen as a dull subject, and this book will help you see exactly that. Adding a fun …… 閱讀更多內容

    $83.49 HKD

  • 不知道也可以算

    由 梁承裕 ……
    系列 第 6 冊 - 數學其實一直都在
    兩組數據可以有相同平均值，卻代表完全不同的風險；一個系統聲稱有99%準確率，也不代表眼前這次判斷有99%機會正確。數字看來很肯定，未知卻可能藏在量測誤差、樣本不足、模型選擇，甚至方程本身之中。《不知道，也可以算》討論的，正是如何誠實地處理這些「不知道」。本書由平均、變異和分布開始，分清母體與樣本回答的問題，再把單一答案展開成一片可能性。當不確定性有大小，也有方向，不同變量之間還會一起升跌，單看一個誤差範圍便可能不夠。讀者會跟着亂數進入蒙地卡羅模擬，以有系統的抽樣生成許多可能世界，再檢查結果是否已穩定。輸入的一點變化如何傳到輸出？局部敏感度能否代表整個範圍？同一團未知被方程或水流帶走後，又會變成甚麼形狀？書中還會區分隨機、混沌與模型不足。沒有擲骰子的系統，也可能因初始差異而很快失去可預測性；模型與量測不一致時，不能一律怪罪雜訊。天氣預報同時運算許多個未來，是要呈現可能路徑，而不是逃避答案 …… 閱讀更多內容

    $31.18 HKD

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  • AI會算，我們為甚麼還要學

    由 梁承裕 ……
    系列 第 2 冊 - AI 時代，我們重新問一次
    當 AI 三秒便能完成一道數學題，學生還應否花三十分鐘去做？如果它能寫文章、整理資料、解釋概念，學習會否只剩下檢查答案？這些問題不能靠一句「基本功永遠重要」打發，也不能假裝工具沒有改變課堂。《AI 會算，我們為甚麼還要學？》由計算機、搜尋器和 GPS 三種熟悉工具開始，拆開「一個動作被外判」與「一種能力不再需要」之間的差別。手算可以減少，尺度感仍會幫你看出三百萬杯咖啡不合理；AI 可以微分，使用者仍要知道導數正在描述哪種變化；資料可以自動整理，樣本怎樣形成卻會直接改變結論。全書把做出答案、看懂答案、選擇問題、判斷代價和承擔結果逐一分開。它討論甚麼適合交給 AI，人與 AI 怎樣協作而不把整項工作讓出去，也直面幾個難題：AI 做了大部分，成果還是不是你的？它能拿滿分，評核還在量度甚麼？如果 AI 比你更快、更準，你至少要懂到哪裏？家長和教師亦可由此重想：練習應保留甚麼 …… 閱讀更多內容

    $31.18 HKD

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