How To Think Like A Mathematician Pdf Download

How To Think Like A Mathematician Pdf Download > http://shurll.com/b7aad

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Index

Last edited: Jan 31, 2013 micromass, Jan 24, 2013 Phys.org - latest science and technology news stories on Phys.org •Game over? Computer beats human champ in ancient Chinese game •Simplifying solar cells with a new mix of materials •Imaged 'jets' reveal cerium's post-shock inner strength Jan 24, 2013 #2 mathwonk Science Advisor Homework Helper 2015 Award i have not read this, but if you want a free taste, here it is: mathwonk, Jan 24, 2013 . Jan 24, 2013 #1 micromass Staff Emeritus Science Advisor Education Advisor Insights Author Author: Kevin Houston Title: How to Think Like a Mathematician: A Companion to Undergraduate Mathematics Amazon Link: Prerequisities: High-School Mathematics Level: Undergrad Table of Contents: Code (Text):

Preface
Study skills for mathematicians
- Sets and functions
- Reading mathematics
- Writing mathematics I
- Writing mathematics II
- How to solve problems
How to think logically
- Making a statement
- Implications
- Finer points concerning implications
- Converse and equivalence
- Quantifiers - For all and There exists
- Complexity and negation of quantifiers
- Examples and counterexamples
- Summary of logic
Definition, theorems and proofs
- Definitions, theorems and proofs
- How to read a definition
- How to read a theorem
- Proof
- How to read a proof
- A study of Pythagoras' Theorem
Techniques of proof
- Techniques of proof I: Direct method
- Some common mistakes
- Techniques of proof II: Proof by cases
- Techniques of proof III: Contradiction
- Techniques of proof IV: Induction
- More sophisticated induction techniques
- Techniques of proof V: Contrapositive method
Mathematics that all good mathematicians need
- Divisors
- The Euclidean Algorithm
- Modular arithmetic
- Injective, surjective, bijective - and a bit about infinity
- Equivalence relations
Closing remarks
- Putting it all together
- Generalization and specialization
- True understanding
- The biggest secret
Appendices
- Greek alphabet
- Commonly used symbols and notation
- How to prove that . Physics Forums - The Fusion of Science and Community Forums > Science Education > Science and Math Textbooks > . Not Found.. Intro Math How to Think Like a Mathematician by Houston . Some Misconceptions on Indefinite Integrals General Brachistochrone Problem Problems with Self-Studying Elementary Construction of the Angular Velocity Rare Kinematic Formula Why Supersymmetry? Because of Delignes theorem. Have something to add?
  
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