Numerous and frequently-updated resource results are available from this WorldCat. The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning of more recent topics. Read more
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Numerous and frequently-updated resource results are available from this WorldCat. The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples.
A careful study of this book will provide a solid background to the learning of more recent topics. Read more Please choose whether or not you want other users to be able to see on your profile that this library is a favorite of yours. Finding libraries that hold this item From the reviews of the second edition:"This book is a thorough self-contained introduction to algebraic number theory. The book is aimed at graduate students. The author made a great effort to make the subject easier to understand.
The proofs are very detailed, there are plenty of examples and there are exercises at the end of almost all chapters The book contains a great amount of material, more than enough for a year-long course. The approach is very classical and global. The author has made a real effort to make the book accessible to students. Proofs are given in great detail, and there are many examples and exercises. The book would serve well as a text for a graduate course in classical algebraic number theory.
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Algebraische Zahlentheorie Getaltheorie. Linked Data More info about Linked Data. Commutative Fields -- Ch. Residue Classes -- Ch. Quadratic Residues -- Ch. Algebraic Integers -- Ch. Integral Basis, Discriminant -- Ch. The Decomposition of Ideals -- Ch. The Norm and Classes of Ideals -- Ch. Estimates for the Discriminant -- Ch. Units -- Ch. Extension of Ideals -- Ch. Algebraic Interlude -- Ch. Complements and Miscellaneous Numerical Examples -- Ch.
Local Methods for Cyclotomic Fields -- Ch. Bernoulli Numbers -- Ch. More on Cyclotomic Extensions -- Ch. Characters and Gaussian Sums -- Ch. Zeta-Functions and L-Series -- Ch. The Dedekind Zeta-Function -- Ch. Primes in Arithmetic Progressions -- Ch. Class Number of Quadratic Fields -- Ch. Class Number of Cyclotomic Fields -- Ch. WorldCat is the world's largest library catalog, helping you find library materials online. Remember me on this computer.
Cancel Forgot your password? Paulo Ribenboim. Print book : English : 1st ed View all editions and formats. Algebraic number theory. Algebraische Zahlentheorie View all subjects. Similar Items. Paulo Ribenboim Find more information about: Paulo Ribenboim. Table of contents Publisher description.
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Classical Theory of Algebraic Numbers
It seems that you're in Germany. We have a dedicated site for Germany. Gauss created the theory of binary quadratic forms in "Disquisitiones Arithmeticae" and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem. These were the starting points for the theory of algebraic numbers, developed in the classical papers of Dedekind, Dirichlet, Eisenstein, Hermite and many others. This theory, enriched with more recent contributions, is of basic importance in the study of diophantine equations and arithmetic algebraic geometry, including methods in cryptography. This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The Introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields.
Classical theory of algebraic numbers