Summation proofs Study guides, Revision notes & Summaries

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BSC. MATHEMATICS AND COMPUTER SCIENCE Unit I Logic: Propositional equivalence, predicates and quantifiers, Methods of proofs, proof strategy, sequences and summation, mathematical induction, recursive definitions and structural induction, program correctness. Counting: The basics of counting, the pigeonhole principle, permutations and combinations, recurrence relations, solving recurrence relations, generating functions, inclusion-exclusion principle, application of inclusion-exclusion....

About the Author Janet Lee Adams received a Bachelor of Arts in Mathematics (secondary education) from Asbury College in Wilmore, Kentucky; a Master of Science in Operations Research from the University of Kentucky in Lexington, Kentucky; and a Master of Arts in Teaching Mathematics, also from the University of Kentucky. She taught a variety of mathematics courses in high school for 15 years and currently teaches classes at the Pennsylvania State University, Worthington Scranton Campu...

AS Further Maths - Proof by Induction pg1 - Summary notes

1. Order of a matrix Number of rows by number of columns 2. Square matrix Matrix of order NxN 3. Leading diagonal Diagonal of matrix from top left to bottom right 4. Conditions for two matrices to be equal - must have same order - each element in one matrix must be equal to the corresponding ele- ment in the other 5. Matrices which you can't add are... non-conformable for addition 6. Matrices which you can't multiply are... non-conformable for multiplication 7. Matrix...