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Here are Oliver’s** reasons to study math >>.**

Dr. Henke shares a list of recommended resources* for advanced study that he freely shared with his students and their parents:

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- Schneider,
**A Beginner’s Guide to Constructing the Universe** - Dunham,
**The Mathematical Universe** - Benjamin,
**Secrets of Mental Math** - Penrose,
**The Road to Reality** - Plato,
*Timaeus*; First mathematical treatise of western thought - Aristotle,
*Analytica Priora et Posteriora*; System of deductive logic and method - Euclid,
*The Elements*(in three volumes); Exhaustive compliation of Greek geometry - Archimedes,
*The Sand Reckoner*; Introduces base-ten system, principle of the logarithm - Archimedes,
*Method*; Foundation of integral calculus - Apollonius,
*Conic Sections*; Exhaustive work on the conic sections - Nicomachus,
*Introduction to Arithmetic*; Compilation of arithmetic principles - Ptolemy, The Almagest; Greek trigonometry used to record star positions
- al-Khowarizmi,
*al-jabr w’al-muqabalah*; First treatise on algebra and Hindu-Arabic numerals - Fibonacci,
*Libro di bacci*; Introduces Hindu-Arabic numerals to Europe - da Vinci,
*Linear Perspective*; The mathematical elements of painting - Stevin,
*La Disme*; Systematic treatment of decimal fractions - Cardano,
*Ars Magna*; Solves cubic and bi-quadratic equations, imaginary numbers - Galileo,
*Two New Sciences*; Challenges Aristotle’s law of falling bodies - Descartes,
*Geometry*; Lays the foundation of analytical geometry - Fermat, On the Theory of Probabilities; Pascal lays the foundation of probability
- Newton, The Principia; Invention of calculus and defines gravity
- Bernoulli, Law of Large Numbers; Lays the foundation of statistics
- Euler,
*Seven Bridges of Konigsberg*; Lays the foundation of topology - La Place, Celestial Mechanics; Applies calculus to heavenly orbits
- La Place (Sommerville translation), Celestial Mechanics [click here for online text]; Expansion of La Place’s work
- Boole, Symbolic Logic; Discovery of symbolic and boolean logic
- Abbott, Flatland; Fictional work about mathematical dimensions
- Poincare, Chance; Probability and statistics [click here for online text]
- Poincare, Mathematical Creation; How to create mathematics
- Mendeleev, Periodic Law of the Chemical Elements; Lays the foundation for the periodic table
- Whitehead, Principia Mathematica; Deepest study of the foundations of mathematics
- Polya, How to Solve It; Problem solving
- Jeans, Science and Music; Lays the foundation for the physics of music
- von Neumann, Games and Economic Behavior; Lays the foundation of game theory