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A more in-depth treatment on heuristic methods is given here. Both this book and How to Solve It are highly recommended
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A more in-depth treatment on heuristic methods is given here. Both this book and How to Solve It are highly recommended.
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Perhaps no modern scientist is more closely associated with the use of diagrams to represent and to help solve complicated equations than Richard P. Feynman, an American physicist. The classic three volume set presents a course on physics with a wealth of physical and geometric intuition
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Perhaps no modern scientist is more closely associated with the use of diagrams to represent and to help solve complicated equations than Richard P. Feynman, an American physicist. The classic three volume set presents a course on physics with a wealth of physical and geometric intuition.
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Gamelin TW. 2003. Complex Analysis. New York: Springer.
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84890265997
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There are many excellent books describing techniques to aid mental calculations; this book is an example
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There are many excellent books describing techniques to aid mental calculations; this book is an example.
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A description of the importance of the mathematical literacy that can be developed by posing and solving Fermi questions is given in this book
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A description of the importance of the mathematical literacy that can be developed by posing and solving Fermi questions is given in this book.
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Programming Pearls
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Reading, MA: Addison-Wesley
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Bentley J. 2000. Programming Pearls. Reading, MA: Addison-Wesley.
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We adapted exercise 5.3 from this book, which has a very informative section on back- of-the-envelope calculations
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We adapted exercise 5.3 from this book, which has a very informative section on back- of-the-envelope calculations.
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A more mathematical, but still very accessible, treatment of estimates based on physical principles is presented in this article
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A more mathematical, but still very accessible, treatment of estimates based on physical principles is presented in this article.
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This review article describes the bee's visual system in much more detail
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This review article describes the bee's visual system in much more detail.
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Integration, including many numerical methods, is discussed in this book
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Integration, including many numerical methods, is discussed in this book.
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Scaling
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This book contains more detailed discussion of the Hamilton-Jacobi theory and its relation to quantum mechanics. The principal axis theorem is also discussed here in more detail
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This book contains more detailed discussion of the Hamilton-Jacobi theory and its relation to quantum mechanics. The principal axis theorem is also discussed here in more detail.
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A historical account of the development of chaos theory is described in this book.
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