This was a good book for my Introduction to Number Theory class where we went through the first five chapters. I thought it was easy to understand and follow in working through the problems. I never got too lost or needed too much teacher explanation of the text. Pretty good overall. Sy Montgomery is a naturalist, author, documentary scriptwriter, and radio commentator who writes for children as well as adults. She has made four trips to Peru and Brazil to study the pink dolphins of the Amazon; and on other expeditions, she was chased by an angry silverback gorilla in Zaire; bitten by a vampire bat in Costa Rica; undressed by an orangutan in Borneo; and hunted by a tiger in India.
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Return to Book Page. Herbert S. This undergraduate textbook describes the computational aspects of number theory, such as techniques of factoring. Problems of varying difficulty are used throughout the text to aid comprehension.
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Lists with This Book. Community Reviews. Showing Average rating 4. Rating details. More filters. Sort order. Start your review of An Introduction to the Theory of Numbers. Apr 20, powei rated it it was amazing. I read this book because a professor of mine, who was retiring, gave me this book because I had displayed an interest in the material.
That professor was really good. I became a math major as a direct result of that action. I learned about the elementary theory of congruences from this book. But it is referenced everywhere. I plan to read through more topics in this book later. I have heard that it has an awesome discussion of the theory of continued fractions. Feb 11, Saquib Mohammad rated it really liked it. A tough book. I didn't like the style of the book too much to say the least.
Let's begin with the positives. The book is designed geniously. Each chapter is almost self-contained barring few basic ideas that any college undergrad ought to know. Kudos for that. Each topic is covered in almost excruciating detail- at times a positive, at times not. The author has introduced, to my understanding, every tool and concept any undergrad needs to be aware of after taking a first course in number theory.
I cannot stress enough the breadth and depth that this book covers. One star just for that. My issues with the book, are ironically regarding the writing style. I find the book too scattered.
Maybe because I used an e-book but at times the book is extremely unclear. To cite an example, an exercise in the section dealing with elliptic curves left me completely perplexed. I didn't know at what times the author was referring to a particular example and when he made a statement with regards to a theorem.
Besides elliptic curve, I found the Farey sequences a bit too difficult to grasp. Having said all of that, I find it slightly difficult to enumerate every topic covered in the book but you can easily get a table of contents online. I would recommend this book if you're a Math major. This is one book you must have on introductory number theory if you want just one. Oct 31, Wissam Raji rated it it was amazing Shelves: mathematics. A very nice introduction to the theory of numbers starting with the fundamental theorem of number theory and then navigating through the basic topics reaching quadratic forms in a very nice treatment in addition to elementary topics in elliptic curves.
I would recommend it for those who want to learn the number-theoretic approach to quadratic forms and their properties. The problems are well-thought of and are very beneficial for students to solve. Aug 18, Colby rated it did not like it Shelves: classics , mystery.
I suppose it was a kind of arrogant, perverse madness that made me order this from the library's web-facility. I managed the Introduction [illuminating! Nuf confessed. Sep 11, Pras rated it it was amazing Shelves: 1. Chiraj Gogoi rated it it was amazing Mar 03, MathMonk rated it really liked it May 30, Nithish Kumar rated it it was amazing Jun 25, Nishant Pappireddi rated it it was amazing Jun 18, Haque Ishfaq rated it it was amazing Oct 27, Shivam Khatri rated it really liked it Jun 02, Pratik Gurung rated it it was amazing Aug 11, Joe rated it it was ok Dec 13, Diego Roque rated it it was amazing Dec 31, Jovany Agathe rated it it was ok Feb 10, Mj Larenio rated it it was amazing Sep 10, Mason rated it really liked it Dec 23, Rollin Hand rated it really liked it Jan 15, Ana Lissette rated it really liked it Jan 12, Mehdi Moradi rated it really liked it Jul 15, Daniele rated it it was amazing Aug 22, Anchit Tandon rated it liked it Oct 23, Tanay Patni rated it it was amazing Feb 09, Andres rated it it was amazing Aug 26, Saharvetes rated it it was amazing Mar 15, Subhadip rated it liked it May 03, Colin rated it really liked it Dec 12, Cupof Tea rated it really liked it May 06, There are no discussion topics on this book yet.
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An Introduction to the Theory of Numbers
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