**Mathematical Vignettes: Number theory, stochastic processes, game theory, cryptography, linear programming and more by Stephen Fratini**

English | 2022 | ISBN: N/A | ASIN: B0BBP1PBJQ | 237 pages | PDF | 4.07 Mb

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English | 2022 | ISBN: N/A | ASIN: B0BBP1PBJQ | 237 pages | PDF | 4.07 Mb

English | PDF (True) | 2008 | 273 Pages | ISBN : 3540737243 | 3.68 MB

Algebraic curves and surfaces are an old topic of geometric and algebraic investigation. They have found applications for instance in ancient and m- ern architectural designs, in number theoretic problems, in models of b- logical shapes, in error-correcting codes, and in cryptographic algorithms. Recently they have gained additional practical importance as central objects in computer-aided geometric design. Modern airplanes, cars, and household appliances would be unthinkable without the computational manipulation of algebraic curves and surfaces. Algebraic curves and surfaces combine fas- nating mathematical beauty with challenging computational complexity and wide spread practical applicability.

English | PDF | 1992 | 246 Pages | ISBN : 3528064331 | 11.1 MB

In this expository paper we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued mathematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to intro- duce L-functions, the main motivation being the calculation of class numbers. In particular, Kummer showed that the class numbers of cyclotomic fields playa decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirich- let had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions.

English | PDF | 1972 | 259 Pages | ISBN : 1475705093 | 23.2 MB

This volume contains five review articles, three in the Al gebra part and two in the Geometry part, surveying the fields of ring theory, modules, and lattice theory in the former, and those of integral geometry and differential-geometric methods in the calculus of variations in the latter. The literature covered is primarily that published in 1965-1968.

Deutsch | PDF | 1989 | 245 Pages | ISBN : 3528063173 | 14.23 MB

This is an introduction to some geometrie aspects of G-function theory. Most of the results presented here appear in print for the flrst time; hence this text is something intermediate between a standard monograph and a research artic1e; it is not a complete survey of the topic. Except for geometrie chapters (I.3.3, II, IX, X), I have tried to keep it reasonably self contained; for instance, the second part may be used as an introduction to p-adic analysis, starting from a few basic facts wh ich are recalled in IV.l.l.

English | PDF | 1983 | 236 Pages | ISBN : 3642617816 | 18.2 MB

Originally, my intention was to write a "History of Algebra", in two or three volumes. In preparing the first volume I saw that in ancient civiliza tions geometry and algebra cannot well be separated: more and more sec tions on ancient geometry were added. Hence the new title of the book: "Geometry and Algebra in Ancient Civilizations". A subsequent volume on the history of modem algebra is in preparation. It will deal mainly with field theory, Galois theory and theory of groups.

English | August 30, 2022 | ISBN: N/A | ASIN: B0BCKTQRQV | 240 pages | EPUB | 6.77 Mb

English | 2019 | ISBN: N/A | ASIN: B07WGWPRZQ | 359 pages | PDF | 21 Mb

English | August 31, 2022 | ISBN: N/A | ASIN: B0BCDB8VF1 | 144 pages | PDF | 17 Mb

English | PDF (True) | 2009 | 428 Pages | ISBN : 3540938052 | 5.68 MB

Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations.

English | May 24, 2022 | ISBN: 1119883598 | 496 pages | MOBI | 8.68 Mb

English | October 12, 2020 | ISBN: N/A | ASIN: B08L5M6PJN | 280 pages | EPUB | 13 Mb

English | May 6, 2022 | ISBN: 1119883687 | 464 pages | MOBI | 14 Mb

English | May 13, 2022 | ISBN: 1119883652 | 608 pages | MOBI | 23 Mb

English | June 12, 2020 | ISBN: N/A | ASIN: B08B4XC5C1 | 375 pages | EPUB | 5.52 Mb