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ISBN: 0121632601 9780121632601 Year: 1978 Volume: 13 Publisher: London Academic press
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Number theory --- Forms, Quadratic --- 511.3 --- Quadratic forms --- Diophantine analysis --- Forms, Binary --- Analytical, additive and other number-theory problems. Diophantine approximations --- Forms, Quadratic. --- 511.3 Analytical, additive and other number-theory problems. Diophantine approximations
ISBN: 0521425301 0521415179 9780521415170 9780521425308 Year: 1991 Volume: 24 Publisher: Cambridge : Cambride University Press,
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Number theory --- Curves, Elliptic --- Curves, Elliptic. --- Curves, elliptic
ISBN: 3540617884 3540023976 3642620353 Year: 1971 Publisher: Berlin Springer
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Reihentext + Geometry of Numbers From the reviews: "The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy... historical material is included... the author has written an excellent account of an interesting subject." (Mathematical Gazette) "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowski's Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." (The American Mathematical Monthly).
511.9 --- 511.9 Geometry of numbers --- Geometry of numbers --- Number theory. --- Geometry. --- Number Theory. --- Mathematics --- Euclid's Elements --- Number study --- Numbers, Theory of --- Algebra --- Geometry of numbers. --- Numbers, Geometry of --- Number theory
ISBN: 1316086992 1107091322 1107088291 1107100313 110709450X 1139172530 9781107088290 9781139172530 0521415179 9780521415170 0521425301 9780521425308 9781316086995 9781107091320 9781107100312 Year: 1991 Volume: 24 Publisher: Cambridge New York Cambridge University Press
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The study of (special cases of) elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centres of research in number theory. This book, which is addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Weil finite basis theorem, points of finite order (Nagell-Lutz) etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the 'Riemann hypothesis for function fields') and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch, as is the little that is needed on Galois cohomology. Many examples and exercises are included for the reader. For those new to elliptic curves, whether they are graduate students or specialists from other fields, this will be a fine introductory text.
ISBN: 1139886037 1107366089 1107370817 1107361176 1107369304 1299403883 1107363624 0511663021 9781107361171 9780511663024 052128614X 9780521286145 Year: 1981 Volume: 62 Publisher: Cambridge [Cambridgeshire] New York Cambridge University Press
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This is the expanded notes of a course intended to introduce students specializing in mathematics to some of the central ideas of traditional economics. The book should be readily accessible to anyone with some training in university mathematics; more advanced mathematical tools are explained in the appendices. Thus this text could be used for undergraduate mathematics courses or as supplementary reading for students of mathematical economics.
Economics, Mathematical. --- Economics. --- Economics --- Economics, Mathematical --- Economic theory --- Political economy --- Social sciences --- Economic man --- Mathematical economics --- Econometrics --- Mathematics --- Mathematical models. --- Methodology --- Mathematical models --- E-books --- 330.2 --- 330.3 --- AA / International- internationaal --- 330.1 --- 330.1 Economische grondbegrippen. Algemene begrippen in de economie --- Economische grondbegrippen. Algemene begrippen in de economie --- Economische analyse en research. Theorie van de informatie --- Methode in staathuishoudkunde. Statische, dynamische economie. Modellen. Experimental economics --- Mathematical Sciences --- General and Others
ISBN: 9781139171885 9780521304849 9780521315258 1139171887 9781107087644 1107087643 9781107093850 1107093856 0521304849 0521315255 1316086828 1107090733 1107099889 Year: 1986 Volume: 3 Publisher: Cambridge Cambridge University Press
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The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the use of this and other local fields pervades much of mathematics, yet these simple and natural concepts, which often provide remarkably easy solutions to complex problems, are not as familiar as they should be. This book, based on postgraduate lectures at Cambridge, is meant to rectify this situation by providing a fairly elementary and self-contained introduction to local fields. After a general introduction, attention centres on the p-adic numbers and their use in number theory. There follow chapters on algebraic number theory, diophantine equations and on the analysis of a p-adic variable. This book will appeal to undergraduates, and even amateurs, interested in number theory, as well as to graduate students.
Local fields (Algebra) --- 511.6 --- 511.6 Algebraic number fields --- Algebraic number fields --- Fields, Local (Algebra) --- Algebraic fields --- Local fields (Algebra).
Book
Year: 1969 Publisher: London Academic Press
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Year: 1959 Publisher: Berlin Springer
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Book
Year: 1965 Publisher: Cambridge At the University Press
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Year: 1967 Publisher: London
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