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1999 (13)

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Algebraic number theory
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ISBN: 0849339898 Year: 1999 Publisher: Boca Raton (Fla) CRC

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The pulse of creation: God and the transformation of the world
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ISBN: 0800631889 Year: 1999 Publisher: Minneapolis, Minn. Fortress

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Kroniek van 100 jaar Europese koningshuizen.
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ISBN: 9053120963 9789053120965 Year: 1999 Publisher: Gent,

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Algebraic number theory
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ISBN: 3540653996 3642084737 3662039834 9783540653998 Year: 1999 Volume: 322 Publisher: Berlin: Springer,

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"The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner... The author discusses the classical concepts from the viewpoint of Arakelov theory.... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further study, and concrete examples.... The concluding chapter VII on zeta-functions and L-series is another outstanding advantage of the present textbook.... The book is, without any doubt, the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available." W. Kleinert in Z.blatt f. Math., 1992 "The author's enthusiasm for this topic is rarely as evident for the reader as in this book. - A good book, a beautiful book." F. Lorenz in Jber. DMV 1995 "The present work is written in a very careful and masterly fashion. It does not show the pains that it must have caused even an expert like Neukirch. It undoubtedly is liable to become a classic; the more so as recent developments have been taken into account which will not be outdated quickly. Not only must it be missing from the library of no number theorist, but it can simply be recommended to every mathematician who wants to get an idea of modern arithmetic." J. Schoissengeier in Montatshefte Mathematik 1994.

Advanced topics in computational number theory
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ISBN: 0387987274 1461264197 1441984895 Year: 1999 Publisher: New York Springer

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The computation of invariants of algebraic number fields such as integral bases, discriminants, prime decompositions, ideal class groups, and unit groups is important both for its own sake and for its numerous applications, for example, to the solution of Diophantine equations. The practical com­ pletion of this task (sometimes known as the Dedekind program) has been one of the major achievements of computational number theory in the past ten years, thanks to the efforts of many people. Even though some practical problems still exist, one can consider the subject as solved in a satisfactory manner, and it is now routine to ask a specialized Computer Algebra Sys­ tem such as Kant/Kash, liDIA, Magma, or Pari/GP, to perform number field computations that would have been unfeasible only ten years ago. The (very numerous) algorithms used are essentially all described in A Course in Com­ putational Algebraic Number Theory, GTM 138, first published in 1993 (third corrected printing 1996), which is referred to here as [CohO]. That text also treats other subjects such as elliptic curves, factoring, and primality testing. Itis important and natural to generalize these algorithms. Several gener­ alizations can be considered, but the most important are certainly the gen­ eralizations to global function fields (finite extensions of the field of rational functions in one variable overa finite field) and to relative extensions ofnum­ ber fields. As in [CohO], in the present book we will consider number fields only and not deal at all with function fields.

Fermat's last theorem for amateurs
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ISBN: 0387985085 9786610010349 1280010347 0387216928 9780387985084 Year: 1999 Publisher: New York : Springer,

Gallia rebellis: : Erhebungen in Gallien im Spiegel antiker Zeugnisse
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ISBN: 3515073833 9783515073837 Year: 1999 Volume: 129 Publisher: Stuttgart: Steiner,

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La Gaule retrouvée
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ISBN: 2070531155 9782070531158 Year: 1999 Volume: 103 Publisher: Paris: Gallimard,

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The nature of the Crown: a legal and political analysis
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ISBN: 0198262736 9780198262732 Year: 1999 Publisher: Oxford: Oxford university press,

Nonlinear system : analysis, stability, and control
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ISBN: 0387985131 1441931325 1475731086 9780387985138 Year: 1999 Volume: 10 Publisher: New York (N.Y.) : Springer,

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There has been a great deal of excitement in the last ten years over the emer­ gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop­ ment of a comprehensive theory of geometric nonlinear control. Coupled with this set of analytic advances has been the vast increase in computational power available for both the simulation and visualization of nonlinear systems as well as for the implementation in real time of sophisticated, real-time nonlinear control laws. Thus, technological advances havebolstered the impact of analytic advances and produced a tremendous variety of new problems and applications that are nonlinear in an essential way. Nonlinear controllaws have been implemented for sophisticated flight control systems on board helicopters, and vertical take offand landing aircraft; adaptive, nonlinearcontrollaws havebeen implementedfor robot manipulators operating either singly, or in cooperation on a multi-fingered robot hand; adaptive control laws have been implemented forjetengines andautomotive fuel injection systems, as well as for automated highway systems and air traffic management systems, to mention a few examples. Bifurcation theory has been used to explain and understand the onset of fiutterin the dynamics of aircraft wing structures, the onset of oscillations in nonlinear circuits, surge and stall in aircraft engines, voltage collapse in a power transmission network.

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