Dive Into Elementary Number Theory Assembled By David M. Burton Compiled As Brochure

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طشعر بــالسعادة وربي يستر ههههههه Very good introductory text, Excerises seem to have an appropriate level of difficulty, This was the textbook for my Elementary Number Theory class, That class, in no small part due to this book, is the reason why I decided to major in Mathematics and hence why I am as of writing this getting a graduate degree in the field.


This book is an excellent introduction to elementary number theory, The problems are very challenging, but illuminate the material deeply, Furthermore, this book serves as an excellent reference when I want to look up proofs of facts in elementary number theory,
Didn't read the entire book but whatever I read was enough to convince me that this is a great book and if I ever read number theory again I will surely come back to this book.
book for mathExcellent explanations, excellent exercises, excellent background information, Best book on the subject! As far as I can remember, and surprisingly enough, this is the first math textbook I've ever read straight through, so that feels like a real accomplishment, after trying and failing to get through several textbooks beforehand.
As far as math textbooks go, I found it fairly readable, and there weren't really any sophisticated techniques used in the Elementary Number Theory's numerous proofs which I suppose is why it's "elementary".
Burton does an adequate job, if not a stellar one, of contextualizing and historicizing various developments in number theory, which did end up making a big difference to me in how exciting the book was to read.


At some points, I'm thinking Burton could have contextualized his demonstrations even more: various proofs he presents, for example, seem fairly unmotivated, and at times I felt like I was lost in a blizzard of meaningless symbols.
By that, I don't mean I didn't know what they meant mathematically however, I couldn't zoom out and describe how they figured into the larger context of the topic e.
g. , the numbers tn in the continued fractions chapter,

It was also kind of a shock, in Burton's timeline of number theorists at the end of the book, to see no women and only three mathematicians of color! I think it is a completely standard intro to Number Theory.
It doesn't use any algebra or any fancy analytical tools, I like the fact that it has relatively lengthy historical intros to each chapter, I think some of the proofs were rather difficult, but that might be in the nature of the subject, A bit wordsy. Nice inclusion of history at the beginning of each chapter though, among other anecdotal jaunts throughout the text,

Don't miss the part on Chinese Remainder Theorem! It's a mustread! Written for the onesemester undergraduate number theory course, this text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity.
It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history, .