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# Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads by Michael Th. Rassias (auth.) — Free book

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This book is designed to introduce some of the most important theorems and results from number theory while testing the reader’s 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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This book is designed to introduce some of the most important theorems and results from number theory while testing the reader’s understanding through carefully selected Olympiad-caliber problems. These problems and their solutions provide the reader with...

Problem-Solving and Selected Topics in Euclidean Geometry: 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, ...

This book reproduces, with minor changes, the notes prepared for a course given at Brigham Young University during the academic year 1984-1985. It is intended to be an introduction to the theory of numbers. The audience consisted largely of undergraduate ...

Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta function...

The Proceedings of the Third Conference of the Canadian Number Theory Association August 18-24, 1991...

This book contains discussions of hundreds of open questions in number theory, organized into 185 different topics. They represent numerous aspects of number theory and are organized into six categories: prime numbers, divisibility, additive number theory...

Multiple Perspectives on Problem-Solving and Learning in the Digital Age Dirk Ifenthaler, Kinshuk, Pedro Isaias, Demetrios G. Sampson, J. Michael Spector, editors Have computers made problem-solving easier? The answer is a resounding yes and no: while we ...

In all walks of life, at some point in time, we all use the process of problem solving. We all talk about it, we all use it, but chances are we all mean different things by it. Six Sigma and Beyond: Problem Solving and Basic Mathematics organizes the topi...

The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. Th...

This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical...

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The DbContext API captures Entity Framework's (EF) most commonly used features and tasks, simplifying development with EF. This concise book shows you how to use the API to perform set operations with the DbSet class, handle change tracking and resolve co...

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Stop dreading concurrency hassles and start reaping the pure power of modern multicore hardware. Learn how to avoid shared mutable state and how to write safe, elegant, explicit synchronization-free programs in Java or other JVM languages including Clojur...

Get a thorough introduction to ADO.NET Entity Framework 4 - Microsoft's core framework for modeling and interacting with data in .NET applications. The second edition of this acclaimed guide provides a hands-on tour of the framework latest version in Visu...

Want to tap the power behind search rankings, product recommendations, social bookmarking, and online matchmaking? This fascinating book demonstrates how you can build Web 2.0 applications to mine the enormous amount of data created by people on the Inter...