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Life of Fred: Metamathematics

Life of Fred: Metamathematics

$49.00

ISB: 978-1-937032-63-0, hardback, 128 pages.

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List of Topics Covered:

The subfields of math.  Turing machines definition.  Adding, subtracting, recognizing more than two symbols.  The impossibility of locating all the non-blank symbols on an input tape.  Turing machines with two tracks.  With two tapes.  Unary notation.  The universal computer.  Turing machines on an infinite checkerboard instead of a tape.  The halting problem.  Dealing with negative numbers, copying a number, multiplying, exponentiation, projection and constant functions, determining if x > y.  Doing logic computations.  Doing geometry.  True vs. provable.  Gödel's First and Second Incompleteness Theorems.  Computable functions defined.  The Church-Turing thesis.  Primitive recursive functions.  General recursive functions.  The Ackermann function.  Self-replicating machines.  P and NP functions.

The full 10-book Extra High School and College Math series includes:

  1. Life of Fred: Logic
  2. Life of Fred: Calculus Expanded Edition (freshman and sophomore year of college)
  3. Life of Fred: Statistics Expanded Edition
  4. Life of Fred: Life of Fred: Five Days of Upper Division Math: Set Theory, Modern Algebra, Abstract Arithmetic, Topology
  5. Life of Fred: Abstract Algebra
  6. Life of Fred: Linear Algebra Expanded Edition (junior year of college)
  7. Life of Fred: Real Analysis
  8. Life of Fred: Complex Analysis
  9. Life of Fred: Numerical Analysis
  10. Life of Fred: Metamathematics 

Life of Fred: Chemistry can also be read near the end of High-School or early College.

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