Straight From the Book (Xyz Series)
Accroding to the writers there are two obectives for writing this book: 1) Providing a solution to the problems that orginally proposed on the first 12 chapters of "Problems from the book" and could not be included in the book due to lack of space. 2) Correcting mistakes in the statements of the proposed problems. In order to hear variety of ideas the authors used a well known forum for problem-solving, mathlinks.ro, in which anyone could discuss and contribute to the solution. The final product is one of the finest problem solving book - mostly short and lucid solution which ensures the understanding of the reader. In addition the authors also include in the book 10 addendums, mostly on advanced topics: 1) Cauchy-Schwarz in Number Theory 2) Classical Estimates on Prime Numbers 3) An introduction to p-adic Numbers 4) Holder's Inequality in Action 5) Some Pearls of Extermal Graph Theory 6) Probability in Combinatorics 7) Finite Fourier Analysis 8) Lagrange's Inversion Theorem 9) Equations over Finite Fields 10) A Glimpse of Algebraic Number Theory Each one of these addendums discusses the key theorems (along with their proof) on the subject. --Yair MulianThis is another mathematical pearl by Prof. Andreescu and his colleagues. This is a sequel of the book "Problems from the Book" and a part of it contains solutions (sometimes, several various solutions) to the first 12 chapters of "Problems from the Book", but there does also exist much much more: many other interesting topics and the following amazing addendums: 2.A. Cauchy-Schwarz in Number Theory 3.A. Classical Estimates on Prime Numbers 3.B. An Introduction to p-adic Numbers 5.A. Hölder's Inequality in Action 6.A. Some Pearls of Extremal Graph Theory 6.B. Probabilities in Combinatorics 7.A. Finite Fourier Analysis 8.A. Lagrange's Inversion Theorem 9.A. Equations over Finite Fields 9.B. A Glimpse of Algebraic Number Theory I do highly recommend this book and all other books of Prof. Andreescu to all mathematics lovers. --H. A. Shah AliProblem solving evolves over time as techniques and approaches improve. This book contains the solutions to Problems from the Book, and is a necessary component to keep your skill sets current and growing. We've enjoyed pouring over these solutions and expanding our math abilities. --David Cordeiro