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Mathematics - Elementary Number Theory: Second Edition (Dover Books on Mathematics)

Description

Book Synopsis: Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problems—some computational and some classical, many original, and some with complete solutions. The opening chapters offer sound explanations of the basics of elementary number theory and develop the fundamental properties of integers and congruences. Subsequent chapters present proofs of Fermat's and Wilson's theorems, introduce number theoretic functions, and explore the quadratic reciprocity theorem. Three independent sections follow, with examinations of the representation of numbers, diophantine equations, and primes. The text concludes with 260 additional problems, three helpful appendixes, and answers to selected exercises and problems.

Details

Are you looking to delve into the fascinating world of number theory? Look no further than the Elementary Number Theory: Second Edition! This comprehensive book is perfect for beginners, requiring only elementary algebra knowledge and familiarity with real numbers. Written by acclaimed author Underwood Dudley, this text emphasizes problem-solving as the key to mastering mathematics. With nearly 1,000 exercises and problems, you will have ample opportunities to sharpen your skills and deepen your understanding. Get ready to embark on an exciting journey through the fundamentals of elementary number theory!

Why settle for a dull and dry mathematics book when you can immerse yourself in a lively and engaging one? The Elementary Number Theory: Second Edition offers a refreshing approach to learning. It not only explains the basics of number theory with clarity, but it also presents intriguing problems to solve. Whether you prefer computational challenges or classical puzzles, this book has something for everyone. You'll even find complete solutions to many of the problems, ensuring that you gain a thorough understanding of the concepts.

Unlock the secrets of number theory with the Elementary Number Theory: Second Edition. Discover the beauty and elegance of integers and congruences as you explore the opening chapters. Dive into the rich history of mathematics with proofs of iconic theorems like Fermat's and Wilson's. Delve into the realm of number theoretic functions and uncover the mysteries of the quadratic reciprocity theorem. With three separate sections dedicated to the representation of numbers, Diophantine equations, and primes, you'll gain a comprehensive knowledge of number theory.

Ready to take your number theory skills to the next level? The Elementary Number Theory: Second Edition has got you covered. With 260 additional problems at the end of the book, you'll have ample opportunities to test yourself. As you progress through the exercises, you'll sharpen your problem-solving abilities and solidify your understanding of the material. Plus, the book includes three helpful appendixes and answers to selected exercises and problems, providing you with valuable resources for further study.

Don't miss out on this incredible opportunity to explore number theory on a deeper level. Take the first step towards mastering mathematics and order your copy of the Elementary Number Theory: Second Edition today!

Order now and embark on an exciting journey through number theory!

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