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The Art of Insight in Science and Engineering

Nguồn ngoài

The Art of Insight in Science and Engineering

To master complexity, we can organize it or discard it. This text first teaches the tools for organizing complexity, then distinguishes the two paths for discarding complexity: with and without loss of information. Questions and problems throughout the text help readers master and apply these groups of tools.

Industrial and Systems EngineeringEngineering
Tác giả
Sanjoy Mahajan
Nhà xuất bản
Olin College of Engineering
Nguồn
LibreTexts
Giấy phép
CC BY-NC-SA
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 66 mục
  1. 01: Part I- Organizing Complexity
  2. 01: Divide and Conquer
  3. 1.01: Warming Up
  4. 1.02: Rails vs Roads
  5. 1.03: Tree Representations
  6. 1.04: Demand-side Estimates
  7. 1.05: Multiple Estimates for the Same Quantity
  8. 1.06: Talking to Your Gut
  9. 1.07: Physical Estimates
  10. 1.08: Summary and Further Problems
  11. 02: Abstraction
  12. 2.01: Energy from Burning Hydrocarbons
  13. 2.02: Coin-flip Game
  14. 2.03: Purpose of Abstraction
  15. 2.04: Analogies
  16. 2.05: Summary and Further Problems
  17. 02: Part II- Discarding Complexity Without Losing Information
  18. 03: Symmetry and Conservation
  19. 3.01: Invariants
  20. 3.02: From Invariant to Symmetry Operation
  21. 3.03: Physical Symmetry
  22. 3.04: Box Models and Conservation
  23. 3.05: Drag Using Conversion of Energy
  24. 3.06: Lift Using Conservation of Momentum
  25. 3.07: Summary and Further Problems
  26. 04: Proportional Reasoning
  27. 4.01: Population Scaling
  28. 4.02: Finding Scaling Exponents
  29. 4.03: Scaling exponents in fluid mechanics
  30. 4.04: Scaling exponents in mathematics
  31. 4.05: Logarithmic scales in two dimensions
  32. 4.06: Optimizing flight speed
  33. 4.07: Summary and further problems
  34. 05: Dimensions
  35. 5.01: Dimensionless groups
  36. 5.02: One Dimensionless Group
  37. 5.03: More dimensionless groups
  38. 5.04: Temperature and change
  39. 5.05: Atoms molecules and materials
  40. 5.06: Summary and further problems
  41. 03: Part III- Discarding complexity with loss of information
  42. 06: Lumping
  43. 6.01: Approximate
  44. 6.02: Rounding on a logarithmic scale
  45. 6.03: Typical or characteristic values
  46. 6.04: Applying lumping to shapes
  47. 6.05: Quantum Mechanics
  48. 6.06: Summary and further problems
  49. 07: Probabilistic Reasoning
  50. 7.01: Probability as degree of belief - Bayesian probability
  51. 7.02: Plausible ranges - Why divide and conquer works
  52. 7.03: Random walks - Viscosity and heat flow
  53. 7.04: Transport by Random Walks
  54. 7.05: Summary and further problems
  55. 08: Easy Cases
  56. 8.01: Section 1-
  57. 8.02: Section 2-
  58. 8.03: Section 3-
  59. 8.04: Section 4-
  60. 8.05: Section 5-
  61. 09: Spring Models
  62. 9.01: Bond springs
  63. 9.02: Energy reasoning
  64. 9.03: Generating sound light and gravitational radiation
  65. 9.04: Effect of radiation- Blue skies and red sunsets
  66. 9.05: Summary and further problems