An Excursion Through Elementary Mathematics, Vo... -

: Roots of polynomials, symmetric polynomials (Newton’s theorem), and linear recurrence relations. How to Use the Books

Overview * Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world. Springer Nature Link An Excursion through Elementary Mathematics, Volume I An Excursion through Elementary Mathematics, Vo...

: Explores counting, graph theory, number theory, and the algebra of polynomials. Guide to Volume Content Volume I: Real Numbers and Functions Guide to Volume Content Volume I: Real Numbers

: Use the extensive Appendix found in each volume, which provides hints and full solutions for difficult problems. : Covers the fundamental theory of real numbers,

: Real number sets, algebraic identities, systems of equations, and elementary inequalities.

: Divisibility, prime numbers, Diophantine equations (including Pell’s equation), and congruence classes.

: Covers the fundamental theory of real numbers, functions, and introductory real analysis.