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Introduction to Real Analysis
by Robert G. Bartle • 1982
A rigorous foundation in real numbers and limits: the proofs that make calculus unshakeable.
4.00
311
Introduction to Real Analysis Summary
Introduction to Real Analysis 90%
A rigorous foundation in real numbers and limits: the proofs that make calculus unshakeable.
by Robert G. Bartle 1982
4.00
311 ratings
Prime Obsession
by John Derbyshire • 2003
A conjecture from 1859 ties prime numbers to quantum energy levels. The proof is still missing.
4.15
4k+
Prime Obsession Summary
Prime Obsession 90%
A conjecture from 1859 ties prime numbers to quantum energy levels. The proof is still missing.
by John Derbyshire 2003
4.15
4k+ ratings
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 and Chaos Summary
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
Understanding Analysis
by Stephen Abbott • 2000
Prove what calculus only computes: from the hole-free reals to the oddities of infinite sets.
4.49
476
Understanding Analysis Summary
Understanding Analysis 90%
Prove what calculus only computes: from the hole-free reals to the oddities of infinite sets.
by Stephen Abbott 2000
4.49
476 ratings
Mathematics
by Timothy Gowers • 2002
Real mathematics does not compute. It builds worlds where objects are defined by their behavior.
3.86
2k+
Mathematics Summary
Mathematics 88%
Real mathematics does not compute. It builds worlds where objects are defined by their behavior.
by Timothy Gowers 2002
3.86
2k+ ratings
Chaos
by James Gleick • 1987
A rounding error revealed that chaos hides order. The discovery reshaped what science can predict.
4.03
41k+
Chaos Summary
Chaos 88%
A rounding error revealed that chaos hides order. The discovery reshaped what science can predict.
by James Gleick 1987
4.03
41k+ ratings
Vector
by Robyn Arianrhod • 2024
Your GPS and AI depend on a 19th-century algebra that broke the rules of arithmetic.
4.05
163
Vector Summary
Vector 88%
Your GPS and AI depend on a 19th-century algebra that broke the rules of arithmetic.
by Robyn Arianrhod 2024
4.05
163 ratings
Love and Math
by Edward Frenkel • 2013
Prime numbers and quantum fields share a hidden architecture. Most people never learn it exists.
3.70
4k+
Love and Math Summary
Love and Math 88%
Prime numbers and quantum fields share a hidden architecture. Most people never learn it exists.
by Edward Frenkel 2013
3.70
4k+ ratings
Complexity
by Melanie Mitchell • 2009
Simple rules produce the complexity of ant colonies, brains, and economies. The science of how.
4.11
4k+
Complexity Summary
Complexity 88%
Simple rules produce the complexity of ant colonies, brains, and economies. The science of how.
by Melanie Mitchell 2009
4.11
4k+ ratings
Deep Simplicity
by John Gribbin • 2004
Simple rules, run long enough, build a universe. A physicist shows the working.
3.98
2k+
Deep Simplicity Summary
Deep Simplicity 88%
Simple rules, run long enough, build a universe. A physicist shows the working.
by John Gribbin 2004
3.98
2k+ ratings
Fermat's Enigma
by Simon Singh • 1998
150 years, countless geniuses, one unproven hunch about primes, and a million dollars waiting.
4.3
34k+
Fermat's Enigma Summary
Fermat's Enigma 88%
150 years, countless geniuses, one unproven hunch about primes, and a million dollars waiting.
by Simon Singh 1998
4.3
34k+ ratings
Topology
by James R. Munkres • 1974
A donut and a coffee cup are the same shape. The rigorous text that proves it.
4.30
1k+
Topology Summary
Topology 88%
A donut and a coffee cup are the same shape. The rigorous text that proves it.
by James R. Munkres 1974
4.30
1k+ ratings
The Fractal Geometry of Nature
by Benoît B. Mandelbrot • 1977
Coastlines lengthen as you zoom in; mountains and galaxies obey the same hidden arithmetic.
4.23
1k+
The Fractal Geometry of Nature Summary
The Fractal Geometry of Nature 88%
Coastlines lengthen as you zoom in; mountains and galaxies obey the same hidden arithmetic.
by Benoît B. Mandelbrot 1977
4.23
1k+ ratings
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
What's the Use? Summary
What's the Use? 88%
Kidney matches, secure websites, movie animation: the invisible math that built the modern world.
by Ian Stewart 2021
3.54
175 ratings
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+
Letters to a Young Mathematician Summary
Letters to a Young Mathematician 88%
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
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+
The Man Who Loved Only Numbers Summary
The Man Who Loved Only Numbers 88%
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
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
Are Numbers Real? Summary
Are Numbers Real? 88%
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
Complexity
by M. Mitchell Waldrop • 1992
In a desert convent, a few rogue scientists discovered the universal grammar of complex systems.
4.05
3k+
Complexity Summary
Complexity 88%
In a desert convent, a few rogue scientists discovered the universal grammar of complex systems.
by M. Mitchell Waldrop 1992
4.05
3k+ 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 Summary
The Grapes of Math 88%
Seashells, cities, and stock crashes obey the same hidden math. A guided tour of the patterns.
by Alex Bellos 2014
4.09
984 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 Summary
Shape 88%
Geometry is not about triangles. It is the hidden structure of pandemics, search, and democracy.
by Jordan Ellenberg 2021
3.73
2k+ ratings
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 Summary
The Joy of X 88%
Numbers, shapes, and change: the tour of math that makes the universe legible.
by Steven H. Strogatz 2012
4.05
9k+ ratings
Linear Algebra Done Right
by Sheldon Axler • 1995
Where operators rule and determinants wait: a rigorous second course in linear algebra.
4.40
1k+
Linear Algebra Done Right Summary
Linear Algebra Done Right 88%
Where operators rule and determinants wait: a rigorous second course in linear algebra.
by Sheldon Axler 1995
4.40
1k+ ratings
Men of Mathematics
by Eric Temple Bell • 1937
From Descartes to Cantor, the story of mathematics is one of obsession and early graves.
4.10
2k+
Men of Mathematics Summary
Men of Mathematics 88%
From Descartes to Cantor, the story of mathematics is one of obsession and early graves.
by Eric Temple Bell 1937
4.10
2k+ ratings
Signals and Systems
by A. Anand Kumar • 2011
How signals become systems: the core math that turns noise into music, speech, and circuits.
4.07
233
Signals and Systems Summary
Signals and Systems 87%
How signals become systems: the core math that turns noise into music, speech, and circuits.
by A. Anand Kumar 2011
4.07
233 ratings
Basic Mathematics
by Serge Lang • 1988
From integers to hyperbolas: a systematic build-up of every idea you need before calculus.
4.30
181
Basic Mathematics Summary
Basic Mathematics 87%
From integers to hyperbolas: a systematic build-up of every idea you need before calculus.
by Serge Lang 1988
4.30
181 ratings
Small Worlds
by Duncan J. Watts • 1999
A few distant links turn clustered networks into superhighways for disease, ideas, and synchrony.
3.88
85
Small Worlds Summary
Small Worlds 87%
A few distant links turn clustered networks into superhighways for disease, ideas, and synchrony.
by Duncan J. Watts 1999
3.88
85 ratings
Linked
by Albert-László Barabási • 2002
A few critical hubs hold most networks together. Target them, and the whole system collapses.
3.94
5k+
Linked Summary
Linked 87%
A few critical hubs hold most networks together. Target them, and the whole system collapses.
by Albert-László Barabási 2002
3.94
5k+ ratings
Symmetry
by Marcus du Sautoy • 2007
Symmetry is not just pretty. It solves equations, builds viruses, and corrects your text messages.
3.82
857
Symmetry Summary
Symmetry 87%
Symmetry is not just pretty. It solves equations, builds viruses, and corrects your text messages.
by Marcus du Sautoy 2007
3.82
857 ratings
A Beautiful Question
by Frank Wilczek • 2015
From Pythagoras to quantum theory, a Nobel laureate shows beauty was always the compass of physics.
3.87
2k+
A Beautiful Question Summary
A Beautiful Question 87%
From Pythagoras to quantum theory, a Nobel laureate shows beauty was always the compass of physics.
by Frank Wilczek 2015
3.87
2k+ ratings
The Joy of Abstraction
by Eugenia Cheng • 2022
What if math’s deepest lesson is that context always beats content? A category theorist explains.
3.84
190
The Joy of Abstraction Summary
The Joy of Abstraction 87%
What if math’s deepest lesson is that context always beats content? A category theorist explains.
by Eugenia Cheng 2022
3.84
190 ratings
Number
by Tobias Dantzig • 1930
The story of number, from zero to infinity, is a series of crises that redefined reality.
4.09
637
Number Summary
Number 87%
The story of number, from zero to infinity, is a series of crises that redefined reality.
by Tobias Dantzig 1930
4.09
637 ratings
Thinking In Numbers
by Daniel Tammet • 2013
Numbers live in a family of nine, an Icelandic counting word, snowflakes, and how decades shrink.
3.53
2k+
Thinking In Numbers Summary
Thinking In Numbers 87%
Numbers live in a family of nine, an Icelandic counting word, snowflakes, and how decades shrink.
by Daniel Tammet 2013
3.53
2k+ ratings
Quantum Mechanics
by Leonard Susskind • 2014
The physics degree you never got: quantum states as vectors, and the math that replaces intuition.
4.33
2k+
Quantum Mechanics Summary
Quantum Mechanics 87%
The physics degree you never got: quantum states as vectors, and the math that replaces intuition.
by Leonard Susskind 2014
4.33
2k+ ratings
In a Flight of Starlings
by Giorgio Parisi • 2021
Starlings, spin glasses, and science's messy path: why simple rules create complex systems.
3.41
2k+
In a Flight of Starlings Summary
In a Flight of Starlings 87%
Starlings, spin glasses, and science's messy path: why simple rules create complex systems.
by Giorgio Parisi 2021
3.41
2k+ ratings
How to Bake Pi
by Eugenia Cheng • 2015
Math is logical structure, not calculation. Category theory reveals it; baking makes it stick.
3.64
2k+
How to Bake Pi Summary
How to Bake Pi 87%
Math is logical structure, not calculation. Category theory reveals it; baking makes it stick.
by Eugenia Cheng 2015
3.64
2k+ ratings
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
The Little Book of Mathematical Principles, Theories & Things Summary
The Little Book of Mathematical Principles, Theories & Things 87%
A compact tour through math's biggest ideas: zero, infinity, and the proof that broke mathematics.
by Robert Solomon 2008
3.97
438 ratings
Sync
by Steven H. Strogatz • 2003
Fireflies flash in unison, heart cells beat as one. No leader. A single equation explains it.
4.07
3k+
Sync Summary
Sync 87%
Fireflies flash in unison, heart cells beat as one. No leader. A single equation explains it.
by Steven H. Strogatz 2003
4.07
3k+ ratings
Infinite Powers
by Steven H. Strogatz • 2019
GPS, planets, CT scans: one trick solves them all. Break the impossible into infinite tiny parts.
4.29
7k+
Infinite Powers Summary
Infinite Powers 87%
GPS, planets, CT scans: one trick solves them all. Break the impossible into infinite tiny parts.
by Steven H. Strogatz 2019
4.29
7k+ 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 Summary
Alex's Adventures in Numberland 87%
How counting became civilization's greatest invention, and the puzzling patterns it revealed.
by Alex Bellos 2010
4.12
6k+ ratings
An Essay on the Psychology of Invention in the Mathematical Field
by Jacques Hadamard • 1945
Mathematical discovery relies on the unconscious, not logic; beauty picks the winning ideas.
3.97
221
An Essay on the Psychology of Invention in the Mathematical Field Summary
An Essay on the Psychology of Invention in the Mathematical Field 87%
Mathematical discovery relies on the unconscious, not logic; beauty picks the winning ideas.
by Jacques Hadamard 1945
3.97
221 ratings
Unknown Quantity
by John Derbyshire • 2006
Babylonians used algebra to measure grain. Four thousand years later, it described reality itself.
3.90
770
Unknown Quantity Summary
Unknown Quantity 87%
Babylonians used algebra to measure grain. Four thousand years later, it described reality itself.
by John Derbyshire 2006
3.90
770 ratings
Pluses and Minuses
by Stefan Buijsman • 2018
Three mathematical discoveries run your digital life; understanding them is simpler than you think.
3.41
290
Pluses and Minuses Summary
Pluses and Minuses 87%
Three mathematical discoveries run your digital life; understanding them is simpler than you think.
by Stefan Buijsman 2018
3.41
290 ratings
Bursts
by Albert-László Barabási • 2010
Why your email bursts, your travels repeat, and history rhymes: one hidden law of priority.
3.30
1k+
Bursts Summary
Bursts 87%
Why your email bursts, your travels repeat, and history rhymes: one hidden law of priority.
by Albert-László Barabási 2010
3.30
1k+ ratings
Structural Analysis
by Russell C. Hibbeler • 1982
Trusses, beams, and frames: how to find every force and deflection inside them before they're built.
4.10
424
Structural Analysis Summary
Structural Analysis 87%
Trusses, beams, and frames: how to find every force and deflection inside them before they're built.
by Russell C. Hibbeler 1982
4.10
424 ratings
Senior Secondary School Mathematics For Class - 12
by R.S. Aggarwal • 2013
Ace Class 12 math: every topic, from relations to calculus, explained with clarity.
3.72
294
Senior Secondary School Mathematics For Class - 12 Summary
Senior Secondary School Mathematics For Class - 12 87%
Ace Class 12 math: every topic, from relations to calculus, explained with clarity.
by R.S. Aggarwal 2013
3.72
294 ratings
The Equation That Couldn't Be Solved
by Mario Livio • 2005
A doomed French genius proved an equation unsolvable: his method became physics' hidden language.
3.89
2k+
The Equation That Couldn't Be Solved Summary
The Equation That Couldn't Be Solved 87%
A doomed French genius proved an equation unsolvable: his method became physics' hidden language.
by Mario Livio 2005
3.89
2k+ ratings
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
The New York Times Book of Mathematics Summary
The New York Times Book of Mathematics 87%
Seven riffle shuffles, three hundred years, and one question: is math discovered or invented?
by Gina Kolata 2013
3.62
159 ratings
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
Introduction to Linear Algebra Summary
Introduction to Linear Algebra 87%
Linear algebra organized around a matrix's core spaces: from elimination straight to the SVD.
by Gilbert Strang 1993
4.24
703 ratings
Mathematics for Class X
by R.D. Sharma
Master the proofs, polynomials, and coordinate formulas that decide the Class X board exam.
4.09
276
Mathematics for Class X Summary
Mathematics for Class X 87%
Master the proofs, polynomials, and coordinate formulas that decide the Class X board exam.
by R.D. Sharma
4.09
276 ratings
The Mathematics of Life
by Ian Stewart • 2011
Math cracked physics. Now it's unlocking biology, from protein origami to alien life.
3.62
565
The Mathematics of Life Summary
The Mathematics of Life 87%
Math cracked physics. Now it's unlocking biology, from protein origami to alien life.
by Ian Stewart 2011
3.62
565 ratings
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