Ratio: The Mathematics of Comparison

26 min

Explore how ratios shape our world beyond social media, from cooking recipes to the golden ratio in nature and art. Discover the ancient mathematical concept that helps us understand proportional relationships.

Ratio: The Mathematics of Comparison

这期个性化播客是如何制作的

这期播客由 BeFreed AI 根据精选书籍、创作者的学习目标和偏好风格制作。

Scale
The Economist: Numbers Guide
The Joy of X
How Not to Be Wrong
Numbers Rule Your World
Fundamental Analysis for Dummies
star
输入问题

Ratio

播客风格
Lenaplay
Milesplay

相似内容

podcast cover
ShapeDo DesignEthics
7 sources
The Hidden Geometry of Beauty
podcast cover
source 2source 3source 4
6 sources
The Hidden Artistry Within Mathematics
podcast cover
source 1source 2source 3The Biggest Questions
6 sources
The Hidden Mathematics of Everything
podcast cover
Comprehensive Self-Learning Roadmap in Mathematics Ultimate Mathematics Mastery RoadmapWhat are the foundational skills of math?How to Study for a Mathematics Degree
6 sources
Mathematics: From Fear to Foundation to Mastery
podcast cover
The Road to RealityShapeHow to Study for a Mathematics Degree
17 sources
The Hidden Language of Reality
podcast cover
The Logic Of Sports BettingThe Misbehavior of MarketsThe Four Pillars of InvestingThe Elements of Investing
18 sources
Math: The Investor's Secret Weapon
book cover
Numbers Rule Your World
Kaiser Fung
book cover
The Great Mental Models Volume 3
Rhiannon Beaubien and Rosie Leizrowice

由哥伦比亚大学校友在旧金山创建

BeFreed 汇聚了全球超过 20 万求知若渴的学习者

"Instead of endless scrolling, I just hit play on BeFreed. It saves me so much time."

@Moemenn
platform
star
star
star
star
star

"I never knew where to start with nonfiction—BeFreed’s book lists turned into podcasts gave me a clear path."

@Chloe, Solo founder, LA
platform
comments
12
likes
117

"Perfect balance between learning and entertainment. Finished ‘Thinking, Fast and Slow’ on my commute this week."

@Raaaaaachelw
platform
star
star
star
star
star

"Crazy how much I learned while walking the dog. BeFreed = small habits → big gains."

@Matt, YC alum
platform
comments
12
likes
108

"Reading used to feel like a chore. Now it’s just part of my lifestyle."

@Erin, Investment Banking Associate , NYC
platform
comments
254
likes
17

"Feels effortless compared to reading. I’ve finished 6 books this month already."

@djmikemoore
platform
star
star
star
star
star

"BeFreed turned my guilty doomscrolling into something that feels productive and inspiring."

@Pitiful
platform
comments
96
likes
4.5K

"BeFreed turned my commute into learning time. 20-min podcasts are perfect for finishing books I never had time for."

@SofiaP
platform
star
star
star
star
star

"BeFreed replaced my podcast queue. Imagine Spotify for books — that’s it. 🙌"

@Jaded_Falcon
platform
comments
201
thumbsUp
16

"It is great for me to learn something from the book without reading it."

@OojasSalunke
platform
star
star
star
star
star

"The themed book list podcasts help me connect ideas across authors—like a guided audio journey."

@Leo, Law Student, UPenn
platform
comments
37
likes
483

"Makes me feel smarter every time before going to work"

@Cashflowbubu
platform
star
star
star
star
star

"Instead of endless scrolling, I just hit play on BeFreed. It saves me so much time."

@Moemenn
platform
star
star
star
star
star

"I never knew where to start with nonfiction—BeFreed’s book lists turned into podcasts gave me a clear path."

@Chloe, Solo founder, LA
platform
comments
12
likes
117

"Perfect balance between learning and entertainment. Finished ‘Thinking, Fast and Slow’ on my commute this week."

@Raaaaaachelw
platform
star
star
star
star
star

"Crazy how much I learned while walking the dog. BeFreed = small habits → big gains."

@Matt, YC alum
platform
comments
12
likes
108

"Reading used to feel like a chore. Now it’s just part of my lifestyle."

@Erin, Investment Banking Associate , NYC
platform
comments
254
likes
17

"Feels effortless compared to reading. I’ve finished 6 books this month already."

@djmikemoore
platform
star
star
star
star
star

"BeFreed turned my guilty doomscrolling into something that feels productive and inspiring."

@Pitiful
platform
comments
96
likes
4.5K

"BeFreed turned my commute into learning time. 20-min podcasts are perfect for finishing books I never had time for."

@SofiaP
platform
star
star
star
star
star

"BeFreed replaced my podcast queue. Imagine Spotify for books — that’s it. 🙌"

@Jaded_Falcon
platform
comments
201
thumbsUp
16

"It is great for me to learn something from the book without reading it."

@OojasSalunke
platform
star
star
star
star
star

"The themed book list podcasts help me connect ideas across authors—like a guided audio journey."

@Leo, Law Student, UPenn
platform
comments
37
likes
483

"Makes me feel smarter every time before going to work"

@Cashflowbubu
platform
star
star
star
star
star

"Instead of endless scrolling, I just hit play on BeFreed. It saves me so much time."

@Moemenn
platform
star
star
star
star
star

"I never knew where to start with nonfiction—BeFreed’s book lists turned into podcasts gave me a clear path."

@Chloe, Solo founder, LA
platform
comments
12
likes
117

"Perfect balance between learning and entertainment. Finished ‘Thinking, Fast and Slow’ on my commute this week."

@Raaaaaachelw
platform
star
star
star
star
star

"Crazy how much I learned while walking the dog. BeFreed = small habits → big gains."

@Matt, YC alum
platform
comments
12
likes
108

"Reading used to feel like a chore. Now it’s just part of my lifestyle."

@Erin, Investment Banking Associate , NYC
platform
comments
254
likes
17

"Feels effortless compared to reading. I’ve finished 6 books this month already."

@djmikemoore
platform
star
star
star
star
star

"BeFreed turned my guilty doomscrolling into something that feels productive and inspiring."

@Pitiful
platform
comments
96
likes
4.5K

"BeFreed turned my commute into learning time. 20-min podcasts are perfect for finishing books I never had time for."

@SofiaP
platform
star
star
star
star
star

"BeFreed replaced my podcast queue. Imagine Spotify for books — that’s it. 🙌"

@Jaded_Falcon
platform
comments
201
thumbsUp
16

"It is great for me to learn something from the book without reading it."

@OojasSalunke
platform
star
star
star
star
star

"The themed book list podcasts help me connect ideas across authors—like a guided audio journey."

@Leo, Law Student, UPenn
platform
comments
37
likes
483

"Makes me feel smarter every time before going to work"

@Cashflowbubu
platform
star
star
star
star
star
开启你的学习之旅,就是现在