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Number Theory A Lively Introduction With Proofs Applications And Stories PDFpdf

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review: this book is designed as an introduction to the basic concepts of number theory and covers topics such as counting, prime numbers, prime factorization, quadratic residues, quadratic reciprocity, euler’s phi function, the distribution of primes and more. the first part of the book goes into detail on prime numbers while the second part covers other topics. although the book is written in a rather informal manner, it does include some calculus and other topics which may be of interest to some readers. however, if you are looking for a book to cover these topics in detail, this is not the book for you. more info.

review: this book covers a broad range of topics in number theory from basic definitions to advanced techniques. rader starts with the basics of number theory and gives insight into various number systems. the text is written in a way that is simple enough to be understood by even those who have little to no formal background in number theory. this includes a number of examples which are given at various levels of difficulty. the book is well organized with different sections containing subtopics, and examples which help to grasp the concepts and build up the reader to more advanced topics. more info.

review: this book is a number of important results in number theory which are usually considered difficult in an undergraduate level course, and even a graduate course. the results are discussed in both an intuitive and a rigorous manner. however, the author is not an expert in number theory, rather he is a physicist, he tries to give insight into number theory by showing how they are connected to physics. the book is divided into five parts, each one of them containing around 6 chapters. the first part is an introduction to number theory, and the other parts deal with specific topics, like diophantine equations, cauchy’s conjecture, diophantine approximation, goldbach’s conjecture, divisibility of numbers, prime number theorem, and fermat’s last theorem. the author also mentions how all of these results are connected to each other, and how these results are used to find some proofs in physics. the book is well organized and written in a clear and concise manner, and all the proofs are reproduced in full detail. more info.

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