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# ๐ Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads by Michael Th. Rassias (auth.) โ download pdf

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This book is designed to introduce some of the most important theorems and results from number theory while testing the readerโs understanding through carefully selected Olympiad-caliber problems. These problems and their solutions provide the reader with an opportunity to sharpen their skills and to apply the theory. This framework guides the reader to an easy comprehension of some of the jewels of number theory The book is self-contained and rigorously presented. Various aspects will be of interest to graduate and undergraduate students in number theory, advanced high school students and the teachers who train them for mathematics competitions, as well as to scholars who will enjoy learning more about number theory. **Michael Th. Rassias** has received several awards in mathematical problem solving competitions including two gold medals at the Pan-Hellenic Mathematical Competitions of 2002 and 2003 held in Athens, a silver medal at the Balkan Mathematical Olympiad of 2002 held in Targu Mures, Romania and a silver medal at the 44th International Mathematical Olympiad of 2003 held in Tokyo, Japan.

- Author:
**Michael Th. Rassias (auth.)** - Year:
**2011** - Publisher:
**Springer-Verlag New York** - Language:
**English** - ISBN:
**1441904948,978-1-4419-0494-2,978-1-4419-0495-9**

- File size:
**3 284 857** - Format:
**pdf**

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A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, pro...

To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the numb...

This book presents the principles and specific problem-solving methods that can be used to solve a variety of mathematical problems. The book provides clear examples of various problem-solving methods accompanied by numerous exercises and their solutions...

A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary num...

Elliptic curves have played an increasingly important role in number theory and related fields over the last several decades, most notably in areas such as cryptography, factorization, and the proof of Fermat's Last Theorem. However, most books on the sub...

2 DVD set with 24 lectures 30 minutes each for a total of 720 minutes...Performers: Taught by: Professor Edward B. Burger, Williams College.Annotation Lectures 1-12 of 24."Course No. 1495"Lecture 1. Number theory and mathematical research -- lecture 2. Na...

Problem-Solving and Selected Topics in Euclidean Geometry: ย in the Spirit of the Mathematical Olympiads contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, ...

Number theory, an ongoing rich area of mathematical exploration, is noted for its theoretical depth, with connections and applications to other fields from representation theory, to physics, cryptography, and more. While the forefront of number theory is ...

This book presents methods of solving problems in three areas of classical elementary mathematics: Equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equati...

Number theory has been a perennial topic of inspiration and importance throughout the history of philosophy and mathematics. Despite this fact, surprisingly little attention has been given to research in learning and teaching number theory per se. This vo...