Calculus

Discusses calculus, placing emphasis on proofs of many theories and on the interpretation of graphs rather than their production. The book contains a complete chapter on numerical computations. Numerical integration is also discussed with an emphasis on estimation of errors.

Science & Math

Gerald J. Janusz

Mathematics

Brown (William C.) Co ,U.S.

<p>The book is directed toward students with a minimal background who want to learn class field theory for number fields. The only prerequisite for reading it is some elementary Galois theory. The first three chapters lay out the necessary background in number fields, such the arithmetic of fields, Dedekind domains, and valuations. The next two chapters discuss class field theory for number fields. The concluding chapter serves as an illustration of the concepts introduced in previous chapters. In particular, some interesting calculations with quadratic fields show the use of the norm residue symbol. For the second edition the author added some new material, expanded many proofs, and corrected errors found in the first edition. The main objective, however, remains the same as it was for the first edition: to give an exposition of the introductory material and the main theorems about class fields of algebraic number fields that would require as little background preparation as possible. Janusz's book can be an excellent textbook for a year-long course in algebraic number theory; the first three chapters would be suitable for a one-semester course. It is also very suitable for independent study.</p>

Algebraic Number Fields (Graduate Studies in Mathematics, 7)

American Mathematical Society

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Books by Gerald J. Janusz

See the best price to sell, buy, or rent books by Gerald J. Janusz. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Calculus

Algebraic Number Fields (Graduate Studies in Mathematics, 7)