Please enable JavaScript.
Coggle requires JavaScript to display documents.
The art of insight in science and engineering, mastering complexity -…
The art of insight in science and engineering, mastering complexity - Sanjoy mahajan
Part 1. Organizing complexity
Divide and conquer
1.1. Warming up
1.2. Rails versus roads
1.3. Tree representation
1.4. Demand-side estimates
1.5. Multiple estimates for the same quantity
1.6. Talking to your gut
1.7. Physical estimates
1.8. Summary and further problems
Abstraction
2.1. Energy from burning hydrocarbons
2.2. Coin-flip game
2.3. Purpose of abstraction
2.4. Analogies
2.5. Summary and further problems
Part 2. Discarding complexity without losing information
Symmetry and conservation
3.1. Invariants
3.2. From invariant to symmetry operation
3.3. Physical symmetry
3.4. Box models and conservation
3.5. Drag using conservation of momentum
3.7. Summary and further problems
Proportional reasoning
4.1. Population scaling
4.2. Finding scaling exponents
4.3. Scaling exponents in fluid mechanics
4.4. Scaling exponents in mathematics
4.5. Logarithmic scales in two dimensions
4.6. Optimizing flight speed
4.7. Summary and further problems
Dimensions
5.1. Dimensional groups
5.2. One dimensionless group
5.3. More dimensionless groups
5.4. Temperature and change
5.5. Atoms, molecules, and materials
5.6. Summary and further problems
Part 3. Discarding complexity with loss of information
Lumping
6.1. Approximate!
6.2. Rounding on a logarithmic scale
6.3. Typical or characteristic values
6.4. Applying lumping to shapes
6.5. Quantum mechanics
6.6. Summary and further problems
Probabilistic reasoning
7.1. Probability as degree of belief: Bayesian probability
7.2. Plausible ranges: why divide and conquer works
7.3. Random walks: viscosity and heat flow
7.4. Transport by random walks
7.5. Summary and further problems
8.Easy cases
8.1. Warming up
8.2. Two regimes
8.3. Three regimes
8.4. Two dimensional quantities
8.5. Summary and further problems
Spring models
9.1. Bond springs
9.2. Energy reasoning
9.3. Generating sound, light, and gravitational radiation
9.4. Effect of radiation: blue skies and red sunset
9.5. Summary and further problems