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Published by Springer New York Dez 1981, 1981
ISBN 10: 0387905952ISBN 13: 9780387905952
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Book Print on Demand
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -. . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: 'To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. ' We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g. , 'torsion free group' for 'pure group. ' One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D. A. Marcus (Springer-Verlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R. 260 pp. Englisch.
Published by Springer New York Dez 1981, 1981
ISBN 10: 0387906630ISBN 13: 9780387906638
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Book Print on Demand
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Alphard is a design for a programming system that supports the abstraction and verification techniques required by modern program'ming methodology. During the language design process, we were concerned simultaneously with problems of methodology, correctness, and efficiency. Methodological concerns are addressed through facilities for defining new, task specific abstractions that capture complex notions in terms of their intended properties, without explicating them in terms of specific low level implementations. Techniques for verifying certain properties of these programs address the correctness concerns. Finally, the language has been designed to permit compilation to efficient object code. Although a compiler was not implemented, the research shed light on specification issues and on programming methodology. an abstraction, specifying its behavior Alphard language constructs allow a programmer to isolate publicly while localizing knowledge about its implementation. The verification of such an abstraction consists of showing that its implementation behaves in accordance with the public specification. Given such a verification, the abstraction may be used with confidence to construct higher level, more abstract, programs. The most common kind of abstraction in Alphard corresponds to what is now called an abstract data type. An abstract data type comprises a set of values for elements of the type and a set of operations on those values. A new language construct, the form, provides a way to encapsulate the definitions of data structures and operations in such a way that only public information could be accessed by the rest of the program. 332 pp. Englisch.
Published by Springer New York Dez 1981, 1981
ISBN 10: 0387906657ISBN 13: 9780387906652
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Book Print on Demand
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In 1978 the idea of studying the generalized inverse Gaussian distribution was proposed to me by Professor Ole Barndorff-Nielsen, who had come across the distribution in the study of the socalled hyperbolic distributions where it emerged in connection with the representation of the hyperbolic distributions as mixtures of normal distributions. The statistical properties of the generalized inverse Gaussian distribution were at that time virtually unde veloped, but it turned out that the distribution has some nice properties, and models many sets of data satisfactorily. This work contains an account of the statistical properties of the distribu tion as far as they are developed at present. The work was done at the Department of Theoretical Statistics, Aarhus University, mostly in 1979, and was partial fulfilment to wards my M.Sc. degree. I wish to convey my warm thanks to Ole Barn dorff-Nielsen and Preben BI~sild for their advice and for comments on earlier versions of the manuscript and to Jette Hamborg for her skilful typing. 200 pp. Englisch.
Published by Springer New York Dez 1981, 1981
ISBN 10: 0387906096ISBN 13: 9780387906096
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Book Print on Demand
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy¿s example of a linear equation without solutions. 272 pp. Englisch.