💻 Computational Mathematics

The intersection of mathematical theory and computer implementation, using algorithms and numerical methods to solve problems beyond the reach of pen and paper.

Algorithms

by Panos Louridas • 2020

Twenty steps to find one item in a million, and the hidden logic that runs our world.

4.03

302

📐 Algorithm Design 💻 Computing Primers 🕸️ Graph Theory

Algorithms 91%

Twenty steps to find one item in a million, and the hidden logic that runs our world.

by Panos Louridas 2020

4.03

302 ratings

📐 Algorithm Design 💻 Computing Primers 🕸️ Graph Theory

Introduction to Linear Algebra

by Gilbert Strang • 1993

Linear algebra organized around a matrix's core spaces: from elimination straight to the SVD.

4.24

703

📐 Applied Linear Algebra 🧩 Matrix Factorizations ↔️ Vector Spaces

Introduction to Linear Algebra 91%

Linear algebra organized around a matrix's core spaces: from elimination straight to the SVD.

by Gilbert Strang 1993

4.24

703 ratings

📐 Applied Linear Algebra 🧩 Matrix Factorizations ↔️ Vector Spaces

What's the Use?

by Ian Stewart • 2021

Kidney matches, secure websites, movie animation: the invisible math that built the modern world.

3.54

175

📐 Applied Mathematics 📊 Mathematical Modeling 🔍 Hidden Mathematics

What's the Use? 91%

Kidney matches, secure websites, movie animation: the invisible math that built the modern world.

by Ian Stewart 2021

3.54

175 ratings

📐 Applied Mathematics 📊 Mathematical Modeling 🔍 Hidden Mathematics

Computer Science Distilled

by Wladston Ferreira Filho • 2017

The missing CS toolkit for self-taught coders: how to think in algorithms, not just syntax.

4.07

1k+

🧠 Computational Thinking 🧮 Algorithm Design 🗂️ Data Structures

Computer Science Distilled 91%

The missing CS toolkit for self-taught coders: how to think in algorithms, not just syntax.

by Wladston Ferreira Filho 2017

4.07

1k+ ratings

🧠 Computational Thinking 🧮 Algorithm Design 🗂️ Data Structures

Pluses and Minuses

by Stefan Buijsman • 2018

Three mathematical discoveries run your digital life; understanding them is simpler than you think.

3.41

290

🧮 Applied Mathematics 📜 History Of Mathematics 🔢 Mathematical Literacy

Pluses and Minuses 90%

Three mathematical discoveries run your digital life; understanding them is simpler than you think.

by Stefan Buijsman 2018

3.41

290 ratings

🧮 Applied Mathematics 📜 History Of Mathematics 🔢 Mathematical Literacy

The Little Book of Mathematical Principles, Theories & Things

by Robert Solomon • 2008

A compact tour through math's biggest ideas: zero, infinity, and the proof that broke mathematics.

3.97

438

🏛️ History Of Mathematics 📐 Math Primers 🧱 Mathematical Foundations

The Little Book of Mathematical Principles, Theories & Things Summary

The Little Book of Mathematical Principles, Theories & Things 90%

A compact tour through math's biggest ideas: zero, infinity, and the proof that broke mathematics.

by Robert Solomon 2008

3.97

438 ratings

🏛️ History Of Mathematics 📐 Math Primers 🧱 Mathematical Foundations

Introduction to Computation and Programming Using Python

by John V. Guttag • 2013

A computer calculates and remembers; everything beyond that is what you build with code.

4.22

500

🧑‍💻 Introductory Programming 🧠 Computational Thinking 🐍 Python For Beginners

Introduction to Computation and Programming Using Python Summary

Introduction to Computation and Programming Using Python 90%

A computer calculates and remembers; everything beyond that is what you build with code.

by John V. Guttag 2013

4.22

500 ratings

🧑‍💻 Introductory Programming 🧠 Computational Thinking 🐍 Python For Beginners

Python for Data Analysis

by Oscar Scratch • 2019

Python data analysis, taught through questions: NumPy, Pandas, and the bridge to machine learning.

3.50

🧮 Scientific Computing 🔄 Data Manipulation 📊 Data Visualization

Python for Data Analysis 90%

Python data analysis, taught through questions: NumPy, Pandas, and the bridge to machine learning.

by Oscar Scratch 2019

3.50

2 ratings

🧮 Scientific Computing 🔄 Data Manipulation 📊 Data Visualization

Once Upon an Algorithm

by Martin Erwig • 2017

What Hansel and Gretel, Sherlock Holmes, and Groundhog Day can teach you about algorithms.

3.63

265

🧠 Computational Thinking 📐 Algorithm Design 📖 Story-Driven Education

Once Upon an Algorithm 90%

What Hansel and Gretel, Sherlock Holmes, and Groundhog Day can teach you about algorithms.

by Martin Erwig 2017

3.63

265 ratings

🧠 Computational Thinking 📐 Algorithm Design 📖 Story-Driven Education

Mathematics

by Timothy Gowers • 2002

Real mathematics does not compute. It builds worlds where objects are defined by their behavior.

3.86

2k+

📐 Pure Mathematics 🧠 Mathematical Thinking 🌌 Mathematical Abstraction

Mathematics 90%

Real mathematics does not compute. It builds worlds where objects are defined by their behavior.

by Timothy Gowers 2002

3.86

2k+ ratings

📐 Pure Mathematics 🧠 Mathematical Thinking 🌌 Mathematical Abstraction

The New York Times Book of Mathematics

by Gina Kolata • 2013

Seven riffle shuffles, three hundred years, and one question: is math discovered or invented?

3.62

159

🏛️ History Of Mathematics 📝 Scientific Essays 🤔 Philosophy Of Math

The New York Times Book of Mathematics Summary

The New York Times Book of Mathematics 90%

Seven riffle shuffles, three hundred years, and one question: is math discovered or invented?

by Gina Kolata 2013

3.62

159 ratings

🏛️ History Of Mathematics 📝 Scientific Essays 🤔 Philosophy Of Math

The Math of Life and Death

by Kit Yates • 2019

Key mathematical ideas govern medicine, law, and media, and your intuition gets each one wrong.

3.90

2k+

The Math of Life and Death 90%

Key mathematical ideas govern medicine, law, and media, and your intuition gets each one wrong.

by Kit Yates 2019

3.90

2k+ ratings

Shape

by Jordan Ellenberg • 2021

Geometry is not about triangles. It is the hidden structure of pandemics, search, and democracy.

3.73

2k+

Shape 90%

Geometry is not about triangles. It is the hidden structure of pandemics, search, and democracy.

by Jordan Ellenberg 2021

3.73

2k+ ratings

Algorithm Design

by Jon Kleinberg • 2005

Design algorithms that run fast; recognize the problems that never will; and learn the workarounds.

4.17

664

🧮 Algorithm Design ⏱️ Computational Complexity 🕸️ Graph Theory

Algorithm Design 90%

Design algorithms that run fast; recognize the problems that never will; and learn the workarounds.

by Jon Kleinberg 2005

4.17

664 ratings

🧮 Algorithm Design ⏱️ Computational Complexity 🕸️ Graph Theory

Computational Thinking

by Peter J. Denning • 2019

It is a 4,500-year-old practice that built modern science, yet most confuse it with just coding.

3.63

304

💭 Computational Thinking 🕰️ History Of Computing 🎨 Design Thinking

Computational Thinking 90%

It is a 4,500-year-old practice that built modern science, yet most confuse it with just coding.

by Peter J. Denning 2019

3.63

304 ratings

💭 Computational Thinking 🕰️ History Of Computing 🎨 Design Thinking

The Art of Computer Programming, Volume 1

by Donald Ervin Knuth • 1973

Algorithms are not just code: they are mathematical objects. To understand one, you must prove it.

4.38

2k+

🧮 Algorithm Design 🗂️ Data Structures 📈 Algorithm Analysis

The Art of Computer Programming, Volume 1 Summary

The Art of Computer Programming, Volume 1 90%

Algorithms are not just code: they are mathematical objects. To understand one, you must prove it.

by Donald Ervin Knuth 1973

4.38

2k+ ratings

🧮 Algorithm Design 🗂️ Data Structures 📈 Algorithm Analysis

Arithmetic

by Paul Lockhart • 2017

Arithmetic is a craft, not a grind. The elegant patterns hiding in every counting system.

3.92

236

🧠 Mathematical Thinking 📜 History Of Math 🔢 Number Representation

Arithmetic 90%

Arithmetic is a craft, not a grind. The elegant patterns hiding in every counting system.

by Paul Lockhart 2017

3.92

236 ratings

🧠 Mathematical Thinking 📜 History Of Math 🔢 Number Representation

Neural Networks, Fuzzy Logic And Genetic Algorithms

by S. Rajasekaran • 2004

Soft computing's three pillars each have blind spots. This is how they fill each other's gaps.

4.21

151

🖥️ Soft Computing 🧠 Neural Networks 🌫️ Fuzzy Logic

Neural Networks, Fuzzy Logic And Genetic Algorithms Summary

Neural Networks, Fuzzy Logic And Genetic Algorithms 90%

Soft computing's three pillars each have blind spots. This is how they fill each other's gaps.

by S. Rajasekaran 2004

4.21

151 ratings

🖥️ Soft Computing 🧠 Neural Networks 🌫️ Fuzzy Logic

Introduction to Algorithms

by Thomas H. Cormen • 1989

Sorting a billion records can take days or seconds, depending on the algorithm, not the processor.

4.35

9k+

📘 Algorithms 🗂️ Data Structures 📊 Algorithm Analysis

Introduction to Algorithms 90%

Sorting a billion records can take days or seconds, depending on the algorithm, not the processor.

by Thomas H. Cormen 1989

4.35

9k+ ratings

📘 Algorithms 🗂️ Data Structures 📊 Algorithm Analysis

Nonlinear Dynamics and Chaos

by Steven H. Strogatz • 1994

How simple rules produce unpredictable motion, and the pictures that reveal the hidden order.

4.38

2k+

🌀 Nonlinear Dynamics 🕸️ Complex Systems 📊 Mathematical Modeling

Nonlinear Dynamics and Chaos 90%

How simple rules produce unpredictable motion, and the pictures that reveal the hidden order.

by Steven H. Strogatz 1994

4.38

2k+ ratings

🌀 Nonlinear Dynamics 🕸️ Complex Systems 📊 Mathematical Modeling

Thinking Better

by Marcus du Sautoy • 2021

Mathematical shortcuts that save time, solve problems, and show you what everyone else overlooks.

3.59

618

🧮 Mathematical Thinking 🧠 Mental Shortcuts 🔍 Pattern Recognition

Thinking Better 90%

Mathematical shortcuts that save time, solve problems, and show you what everyone else overlooks.

by Marcus du Sautoy 2021

3.59

618 ratings

🧮 Mathematical Thinking 🧠 Mental Shortcuts 🔍 Pattern Recognition

Letters to a Young Mathematician

by Ian Stewart • 2006

Proof is story, pure and applied one: a mathematician's letters on the creative life of numbers.

3.86

2k+

🧩 Mathematical Proof 🎓 Math Education 💡 Mathematical Creativity

Letters to a Young Mathematician Summary

Letters to a Young Mathematician 90%

Proof is story, pure and applied one: a mathematician's letters on the creative life of numbers.

by Ian Stewart 2006

3.86

2k+ ratings

🧩 Mathematical Proof 🎓 Math Education 💡 Mathematical Creativity

Speed Mathematics

by Bill Handley • 2003

Calculate faster than a calculator using only a pencil, a circle, and simple subtraction.

3.98

146

🧮 Mental Arithmetic ✂️ Calculation Shortcuts ⚡ Rapid Calculation

Speed Mathematics 89%

Calculate faster than a calculator using only a pencil, a circle, and simple subtraction.

by Bill Handley 2003

3.98

146 ratings

🧮 Mental Arithmetic ✂️ Calculation Shortcuts ⚡ Rapid Calculation

Fermat's Enigma

by Simon Singh • 1998

150 years, countless geniuses, one unproven hunch about primes, and a million dollars waiting.

4.3

34k+

🔢 Prime Numbers 📜 History Of Mathematics ❓ Unsolved Problems

Fermat's Enigma 89%

150 years, countless geniuses, one unproven hunch about primes, and a million dollars waiting.

by Simon Singh 1998

4.3

34k+ ratings

🔢 Prime Numbers 📜 History Of Mathematics ❓ Unsolved Problems

Mathematics

by Trevor Johnson • 2010

From arithmetic to algebra: a self-teaching path for the math you forgot or never had.

4.07

104

🧮 Basic Mathematics 📊 Numeracy Skills 📚 Self-Study Math

Mathematics 89%

From arithmetic to algebra: a self-teaching path for the math you forgot or never had.

by Trevor Johnson 2010

4.07

104 ratings

🧮 Basic Mathematics 📊 Numeracy Skills 📚 Self-Study Math

Nine Algorithms That Changed the Future

by John MacCormick • 2012

The hidden algorithms behind search and security, and the one problem no machine can solve.

3.89

2k+

📘 Algorithms Explained 🧠 Computational Thinking 🌐 Digital Infrastructure

Nine Algorithms That Changed the Future Summary

Nine Algorithms That Changed the Future 89%

The hidden algorithms behind search and security, and the one problem no machine can solve.

by John MacCormick 2012

3.89

2k+ ratings

📘 Algorithms Explained 🧠 Computational Thinking 🌐 Digital Infrastructure

Information Theory, Coding and Crytography

by Ranjan Bose • 2002

Entropy sets the limit. Coding reaches it. Cryptography locks it. One textbook covers all three.

3.75

162

🧠 Information Theory 🔢 Coding Theory 🔐 Cryptography

Information Theory, Coding and Crytography Summary

Information Theory, Coding and Crytography 89%

Entropy sets the limit. Coding reaches it. Cryptography locks it. One textbook covers all three.

by Ranjan Bose 2002

3.75

162 ratings

🧠 Information Theory 🔢 Coding Theory 🔐 Cryptography

Robin Hood Math

by Noah Giansiracusa • 2025

Algorithms price your insurance, rank your resume, curate your reality. The math that fights back.

3.91

185

🧮 Algorithmic Literacy 🛡️ Digital Self-Defense 📐 Applied Mathematics

Robin Hood Math 89%

Algorithms price your insurance, rank your resume, curate your reality. The math that fights back.

by Noah Giansiracusa 2025

3.91

185 ratings

🧮 Algorithmic Literacy 🛡️ Digital Self-Defense 📐 Applied Mathematics

Python Programming

by John Zelle • 2003

A Python-first CS textbook that teaches what computation can do, not just how to code.

4.02

483

📘 Introductory Programming 🐍 Python Programming 🧮 Algorithm Fundamentals

Python Programming 89%

A Python-first CS textbook that teaches what computation can do, not just how to code.

by John Zelle 2003

4.02

483 ratings

📘 Introductory Programming 🐍 Python Programming 🧮 Algorithm Fundamentals

Beyond Numeracy

by John Allen Paulos • 1990

Math, not as right answers, but as a lens on chaos, coincidence, and everyday decisions.

3.83

498

Beyond Numeracy 89%

Math, not as right answers, but as a lens on chaos, coincidence, and everyday decisions.

by John Allen Paulos 1990

3.83

498 ratings

Why Study Mathematics?

by Vicky Neale • 2020

A math degree opens careers from kidney swaps to climate models. Effort trumps genius every time.

3.97

📐 Applied Mathematics 🧠 Growth Mindset 📊 Data Science

Why Study Mathematics? 89%

A math degree opens careers from kidney swaps to climate models. Effort trumps genius every time.

by Vicky Neale 2020

3.97

38 ratings

📐 Applied Mathematics 🧠 Growth Mindset 📊 Data Science

Love Triangle

by Matt Parker • 2024

Triangles build skyscrapers, animate movies, and decode sound: the shape that runs the world.

3.93

2k+

Love Triangle 89%

Triangles build skyscrapers, animate movies, and decode sound: the shape that runs the world.

by Matt Parker 2024

3.93

2k+ ratings

Data Structures and Algorithms Made Easy

by Narasimha Karumanchi • 2011

Every algorithm problem has multiple solutions. Find the fastest one, step by step.

4.10

1k+

⏱️ Algorithm Analysis 🗃️ Data Structures ✍️ Algorithm Design

Data Structures and Algorithms Made Easy Summary

Data Structures and Algorithms Made Easy 89%

Every algorithm problem has multiple solutions. Find the fastest one, step by step.

by Narasimha Karumanchi 2011

4.10

1k+ ratings

⏱️ Algorithm Analysis 🗃️ Data Structures ✍️ Algorithm Design

The Nature of Code

by Daniel Shiffman • 2012

Code that breathes: how to build simulations that move, think, and evolve on your screen.

4.57

502

🎨 Creative Coding 🖼️ Generative Art 🟩 Cellular Automata

The Nature of Code 89%

Code that breathes: how to build simulations that move, think, and evolve on your screen.

by Daniel Shiffman 2012

4.57

502 ratings

🎨 Creative Coding 🖼️ Generative Art 🟩 Cellular Automata

PYTHON FOR DATA ANALYSIS

by Ryshith Doyle • 2019

The systematic NumPy and Pandas walkthrough: import, clean, combine, and analyze data in Python.

3.67

🐍 Python Programming 📊 Data Analysis 🧹 Data Wrangling

PYTHON FOR DATA ANALYSIS 89%

The systematic NumPy and Pandas walkthrough: import, clean, combine, and analyze data in Python.

by Ryshith Doyle 2019

3.67

6 ratings

🐍 Python Programming 📊 Data Analysis 🧹 Data Wrangling

Practical Statistics for Data Scientists

by Peter Bruce • 2017

The statistical methods data scientists use daily, from boxplots to bootstrap, minus the proofs.

4.02

545

🛠️ Practical Data Science 📈 Applied Statistics 🔍 Exploratory Data Analysis

Practical Statistics for Data Scientists Summary

Practical Statistics for Data Scientists 89%

The statistical methods data scientists use daily, from boxplots to bootstrap, minus the proofs.

by Peter Bruce 2017

4.02

545 ratings

🛠️ Practical Data Science 📈 Applied Statistics 🔍 Exploratory Data Analysis

The Algorithm Design Manual

by Steven S. Skiena • 1997

The first step is modeling, not coding. A practical manual and its 75-problem catalog show how.

4.34

3k+

🧩 Algorithm Design 🗃️ Data Structures 🕸️ Graph Algorithms

The Algorithm Design Manual 89%

The first step is modeling, not coding. A practical manual and its 75-problem catalog show how.

by Steven S. Skiena 1997

4.34

3k+ ratings

🧩 Algorithm Design 🗃️ Data Structures 🕸️ Graph Algorithms

Mastering Regular Expressions

by Jeffrey E.F. Friedl • 1997

Understand the engine behind your regex: why some patterns crawl, and how to make them run.

4.16

2k+

🧩 Regular Expressions 📝 Text Processing 🔍 Pattern Matching

Mastering Regular Expressions 89%

Understand the engine behind your regex: why some patterns crawl, and how to make them run.

by Jeffrey E.F. Friedl 1997

4.16

2k+ ratings

🧩 Regular Expressions 📝 Text Processing 🔍 Pattern Matching

The Art of Doing Science and Engineering

by Richard W. Hamming • 1996

What separates great scientists from good ones: they pick better problems.

4.18

2k+

🧠 Scientific Thinking ⚙️ Engineering Practice 💻 Computational Thinking

The Art of Doing Science and Engineering Summary

The Art of Doing Science and Engineering 89%

What separates great scientists from good ones: they pick better problems.

by Richard W. Hamming 1996

4.18

2k+ ratings

🧠 Scientific Thinking ⚙️ Engineering Practice 💻 Computational Thinking

The Ethical Algorithm

by Michael Kearns • 2019

Algorithms don't do ethics by default. Making them fair takes math, and the math demands trade-offs.

4.10

671

⚖️ Algorithmic Bias 🔒 Data Privacy 🤖 Ai Ethics

The Ethical Algorithm 89%

Algorithms don't do ethics by default. Making them fair takes math, and the math demands trade-offs.

by Michael Kearns 2019

4.10

671 ratings

⚖️ Algorithmic Bias 🔒 Data Privacy 🤖 Ai Ethics

The Joy of X

by Steven H. Strogatz • 2012

Numbers, shapes, and change: the tour of math that makes the universe legible.

4.05

9k+

The Joy of X 89%

Numbers, shapes, and change: the tour of math that makes the universe legible.

by Steven H. Strogatz 2012

4.05

9k+ ratings

The Grapes of Math

by Alex Bellos • 2014

Seashells, cities, and stock crashes obey the same hidden math. A guided tour of the patterns.

4.09

984

The Grapes of Math 89%

Seashells, cities, and stock crashes obey the same hidden math. A guided tour of the patterns.

by Alex Bellos 2014

4.09

984 ratings

Alex's Adventures in Numberland

by Alex Bellos • 2010

How counting became civilization's greatest invention, and the puzzling patterns it revealed.

4.12

6k+

Alex's Adventures in Numberland 89%

How counting became civilization's greatest invention, and the puzzling patterns it revealed.

by Alex Bellos 2010

4.12

6k+ ratings

Grokking Algorithms An Illustrated Guide For Programmers and Other Curious People

by Aditya Y. Bhargava • 2015

Algorithms stripped of dense math: a hand-drawn guide to thinking in runtimes and data structures.

4.41

5k+

🔢 Algorithm Fundamentals 🧱 Data Structures 🔍 Sorting And Searching

Grokking Algorithms An Illustrated Guide For Programmers and Other Curious People Summary

Grokking Algorithms An Illustrated Guide For Programmers and Other Curious People 89%

Algorithms stripped of dense math: a hand-drawn guide to thinking in runtimes and data structures.

by Aditya Y. Bhargava 2015

4.41

5k+ ratings

🔢 Algorithm Fundamentals 🧱 Data Structures 🔍 Sorting And Searching

The Man Who Loved Only Numbers

by Paul Hoffman • 1998

He worked 19 hours a day on amphetamines, crossed four continents, and published 1,475 math papers.

4.06

10k+

📐 Mathematical Biography 🔢 Number Theory ♾️ Infinity

The Man Who Loved Only Numbers 89%

He worked 19 hours a day on amphetamines, crossed four continents, and published 1,475 math papers.

by Paul Hoffman 1998

4.06

10k+ ratings

📐 Mathematical Biography 🔢 Number Theory ♾️ Infinity

Vector

by Robyn Arianrhod • 2024

Your GPS and AI depend on a 19th-century algebra that broke the rules of arithmetic.

4.05

163

🧮 History Of Mathematics ⚛️ Mathematical Physics 🔭 History Of Physics

Vector 89%

Your GPS and AI depend on a 19th-century algebra that broke the rules of arithmetic.

by Robyn Arianrhod 2024

4.05

163 ratings

🧮 History Of Mathematics ⚛️ Mathematical Physics 🔭 History Of Physics

Python for Finance

by Yves Hilpisch • 2012

Python's finance stack: vectorized data, Monte Carlo methods, deploying models from Excel to web.

3.80

249

📊 Quantitative Finance 🔢 Financial Modeling 🎲 Monte Carlo Simulation

Python for Finance 89%

Python's finance stack: vectorized data, Monte Carlo methods, deploying models from Excel to web.

by Yves Hilpisch 2012

3.80

249 ratings

📊 Quantitative Finance 🔢 Financial Modeling 🎲 Monte Carlo Simulation

Are Numbers Real?

by Brian Clegg • 2016

Invented to count goats, numbers now predict black holes. A history of math's grip on reality.

3.57

288

📜 History Of Mathematics 📐 Popular Mathematics 🔢 History Of Numbers

Are Numbers Real? 89%

Invented to count goats, numbers now predict black holes. A history of math's grip on reality.

by Brian Clegg 2016

3.57

288 ratings

📜 History Of Mathematics 📐 Popular Mathematics 🔢 History Of Numbers

Unknown Quantity

by John Derbyshire • 2006

Babylonians used algebra to measure grain. Four thousand years later, it described reality itself.

3.90

770

🧮 History Of Mathematics 🏛️ Ancient Mathematics 📜 Medieval Scholarship

Unknown Quantity 89%

Babylonians used algebra to measure grain. Four thousand years later, it described reality itself.

by John Derbyshire 2006

3.90

770 ratings

🧮 History Of Mathematics 🏛️ Ancient Mathematics 📜 Medieval Scholarship

Data Structures and Algorithms

by Alfred V. Aho • 1983

Write code that scales: the classic mathematical toolkit for reasoning about speed before you run.

3.93

245

🧱 Data Structures ⏱️ Algorithm Analysis 🔨 Algorithm Design

Data Structures and Algorithms 89%

Write code that scales: the classic mathematical toolkit for reasoning about speed before you run.

by Alfred V. Aho 1983

3.93

245 ratings

🧱 Data Structures ⏱️ Algorithm Analysis 🔨 Algorithm Design

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