Titlebook: Vorbeugender Brandschutz in der Geb?udeplanung; Vom Entwurf zum Bran Claus Lange Textbook 2021 Der/die Herausgeber bzw. der/die Autor(en),

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rections of J. M. Cross, A. S. Geue, J. Nash, P. Trudinger and B. Turkington; for the contributions of G. Williams in Section 10.5 and of A. S. Geue in Section 978-3-642-96379-7Series ISSN 0072-7830 Series E-ISSN 2196-9701

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nt algorithms for factoring integers and primalityproving, and in the construction of public key cryptosystems...Elliptic Curve Public Key Cryptosystems. provides an up-to-dateand self-contained treatment of elliptic curve-based public keycryptology. Elliptic curve cryptosystems potentially providee

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Claus Langetion with respect to details of proofs. For example, the first part, to Chapter 6, is undergraduate in level, the second part requires a background in Galois theory and the third some complex analysis, while the last parts, from Chapter 12 on, are mostly at graduate level. A general outline ofmuch o

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Claus Langese of elliptic curves in computing theory and coding theory. In the third appendix we discuss the role of elliptic curves in homotopy theory. In these three introductions the reader can get a clue to the far-reaching implications of the theory of elliptic curves in mathematical sciences. During the

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Claus Langeoup. In other words, .(.) ? ?. ⊕ . where . is a finite abelian group, the torsion subgroup. One refers to .(.) as the Mordell-Weil group of . over .. Geometrically, if one is given a system of generators for .(.), then one can produce all the points by the chord and tangent process. This means that