Mathematical Reflections
This work is a compilation and revision of the 2006 and 2007 volumes from the online journal of the same name. Since its inception in January 2006, the journal has attracted readers and contributors from all over the world. It successfully brings together enthusiasts with different mathematical and cultural backgrounds for the common purpose of making mathematics even more beautiful and exciting. The journal publishes six issues each year.
This book is aimed at high school students, participants in math competitions, undergraduates, as well as anyone who has a fire for mathematics. Many of the problems, solutions, and articles were submitted by passionate readers. They require creativity, experience, and comprehensive mathematical knowledge. The junior section features introductory problems. The senior and Olympiad sections are for students preparing for contests such as the USAMO or the IMO. The undergraduate section offers college students a unique opportunity to solve non-routine problems in areas such as linear algebra, calculus or graph theory.
Here is the table of contents.
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Problems From The Book
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This book is authored by two experienced and enthusiastic mathematicians: Dr. Titu Andreescu, from the University of Texas at Dallas, author of over 25 important problem books, and doctoral candidate Gabriel Dospinescu, from Ecole Normale Superieure, France.
Targeted audience includes students preparing for national and international mathematical Olympiads, their coaches, as well as anyone interested in furthering their mathematics education. Even though the work contains many problems collected from various mathematical contests and numerous journals, the beauty of classical results serves as an invitation to mathematics beyond competitions.
The 572 page hardcover book of mathematical jewels has 23 chapters structured as follows: main theoretical results with proofs, illustrated with numerous examples discussed in detail, followed by a set of problems to be solved by the reader.
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