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“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 ... Read more

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一部只會處理數字的機器，為甚麼能寫出關於香港雨夜的詩？答案不是一句「它看過很多文字」，也不是把 AI 說成一個藏在電腦裏的人。文字要先變成可計算的表示，意思要有可比較的距離，脈絡要能在高維空間互相影響，模型才有可能從一句提示走到下一個詞元。《AI 背後的十個數學概念》從十道具體問題出發，帶讀者走過向量、距離、維度、矩陣、機率、統計、微積分、最佳化、神經網絡和生成模型。每個概念都在需要它的時候才出場：矩陣怎樣同時改寫大量數字？導數怎樣指出參數應往哪邊走？損失函數又如何決定哪一種錯誤更昂貴？本書不要求讀者先修畢大學數學，也不靠「AI 像人腦」一類比喻蒙混過關。主文用日常語言建立直覺，「一分鐘數學實驗」讓抽象機制落到紙筆上；想走深一步的讀者，則可在「教授黑板」看見精確公式。公式可以略過，推理鏈仍然完整。讀到最後，你未必能拆開某一個商業模型的全部秘密，卻會懂得追問它如何表示文字、怎樣量度相似
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手機沒有真正「聽見」你的聲音，相機也沒有看見一個完整世界。麥克風在一連串時刻量度空氣振動，感光元件把光轉成像素；連續的聲音和影像，先被切成數字，才可以儲存、傳送和處理。《把世界變成訊號》追問的，是這個轉換究竟保留了甚麼，又悄悄丟掉了甚麼。本書由取樣開始：一秒應該量多少次？量得太慢，快速變化可能偽裝成另一個較慢的訊號；像素增加，也不保證照片一定更清楚。讀者會看見同一首歌在時間和頻率中呈現兩種面貌，亦會明白轉換座標後，原本複雜的資料有時只剩少數重要成分。壓縮正是利用這種結構，但「丟掉九成資料仍看得出來」並不表示被丟掉的部分毫無意義；保留甚麼，取決於用途、誤差尺度和人真正想分辨的細節。後半部走進稀疏表示、少量量測、去噪、去模糊和影像辨識。雜訊能否真的消失？一張變清楚的照片是否等於看見更多真相？電腦如何由像素分出物件與邊界？書中既解釋方法為甚麼有效，也守住證據邊界：重建會結合資料、模型和偏好
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Math Games with Bad Drawings

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

by 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 ... Read more

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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
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The Best Writing on Mathematics 2021

by Mircea Pitici ...

Series 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 ... Read more

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Reference eBooks

The Joy Of X

The System of the World

Lifetime Data: Statistical Models And Methods (Second Edition)

Advanced Techniques In Applied Mathematics

The 15-Minute Mathematician

I Used to Know That: Maths

INTRODUCTION TO CALCULUS - 101 COMMON PROBLEMS

Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions

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

GRADE 12 (MHF4U) SECONDARY SCHOOL MATHEMATICS TESTS AND EXAMS (FUNCTIONS)

Handbook of Probability

Beyond Basic Statistics

Handbook of Electronics Formulas and Calculations - Volume 1

Handbook of Electronics Formulas and Calculations - Volume 2

Science Mysteries Explained

Algebra II Essentials For Dummies

Algebra I Essentials For Dummies

From 0 to Infinity in 26 Centuries

Fermat's Enigma

TI-84 Plus Guidebook for High School & College

AI背後的十個數學概念

把世界變成訊號

Math Games with Bad Drawings

The Best Writing on Mathematics 2021