I agree very much on what Stephen Miller said. This textbook is a very execellent introductory textbook to modern number theory. It does not require any particular math background besides elementary undergraduate maths so that it is suitable to new graduate students. The exercises are very nice and helpful. The level is a little bit challenging. I ever taught courses based on this book twice and both students and I benefit a lot.



For the contents, the textbook provides a thourough treatment on basics of modern NT such as local fields, adeles, ideles, Fourier inverse formula etc. Moreover, I think the textbook might be the best source so far I know for on Tate's thesis as a textbook. It is a perfect starting book for readers who are interested on automorphic forms. Also, just as Miller said, it is also a good reference book to mathematicians with various background, not just merely number theorists.



So I recommend this textbook strongly.



Song Wang, the Morningside Center of Mathematics, AMSS, CAS, China.

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