Aritmetica Crittografia E Codici
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Aritmetica Crittografia E Codici
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Author : W. M. Baldoni
language : it
Publisher:
Release Date : 2009-02-15
Aritmetica Crittografia E Codici written by W. M. Baldoni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-15 with categories.
Aritmetica Crittografia E Codici
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Author : W.M. Baldoni
language : it
Publisher: Springer Science & Business Media
Release Date : 2007-03-20
Aritmetica Crittografia E Codici written by W.M. Baldoni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-20 with Mathematics categories.
Il volume potrà essere utile ai docenti che intendano svolgere un corso su questi argomenti, la cui presenza sempre più viene richiesta nei corsi di laurea di matematica, fisica, informatica, ingnegneria.
Elementi Di Aritmetica Modulare
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Author : Marilena Barnabei
language : it
Publisher:
Release Date : 2014
Elementi Di Aritmetica Modulare written by Marilena Barnabei and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
Questo volume intende presentare le nozioni fondamentali dell'aritmetica modulare, con particolare riguardo a quegli argomenti che costituiscono la base matematica della teoria dei codici e della crittografia. Non è richiesta al lettore una particolare conoscenza di nozioni di algebra o di teoria dei numeri, dal momento che tutte le definizioni ed i risultati necessari alla lettura sono riportati nel testo: è però utile una certa familiarità con il ragionamento matematico. Il contenuto del libro è organizzato nel modo seguente: nei primi 5 capitoli sono esposti gli elementi essenziali dell'aritmetica modulare, corredati dai principali algoritmi e da numerosi esercizi, sia svolti che proposti. I restanti 4 capitoli sono dedicati a complementi della teoria, in due direzioni essenzialmente diverse. Infatti, i Capitoli 6 e 7 intendono dare un'idea di come la teoria esposta venga utilizzata nella crittografia a chiave pubblica. I Capitoli 8 e 9 contengono invece un ulteriore approfondimento della teoria, e sono dedicati ad un'esposizione semplice, ma completa, della teoria dei campi finiti, anch'essa ampiamente utilizzata in crittografia e nella teoria dei codici. Infine, l'Appendice contiene alcuni cenni relativi alla complessità computazionale degli algoritmi, limitatamente a quanto è necessario alla comprensione del testo.
Codici Cifrati
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Author : Bengt Beckman
language : it
Publisher: Springer Science & Business Media
Release Date : 2005-07-28
Codici Cifrati written by Bengt Beckman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-28 with Mathematics categories.
Durante la II guerra mondiale hanno avuto luogo numerosi risultati di rilievo nel campo della crittografia militare. Uno dei meno conosciuti è quello usato dal servizio di intelligence svedese, nei confronti del codice tedesco per le comunicazioni strategiche con i comandi dei paesi occupati nel nord Europa, le cui linee passavano per la Svezia. In tal modo, durante la fase più critica della guerra la direzione politica e militare svedese era in grado di seguire i piani e le disposizioni dei Tedeschi, venendo a conoscenza dei più arditi progetti per modificare la propria politica, tenendo la Svezia fuori dalla guerra. La violazione del codice tedesco è narrata in dettaglio, per la prima volta, con elementi che gli permettono di essere un’ottima introduzione al campo della crittografia, oltre che un ritratto vitale e umano della società del tempo: una disperata condizione bellica, l'intrigo politico e spionistico, il genio del matematico Arne Beurling, le difficoltà e i trucchi del mestiere, e il lavoro sistematico e oscuro di una folla di decrittatori.
Mathematical Analysis Ii
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Author : Claudio Canuto
language : en
Publisher: Springer
Release Date : 2015-02-07
Mathematical Analysis Ii written by Claudio Canuto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-07 with Mathematics categories.
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.
Mathematical Analysis I
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Author : Claudio Canuto
language : en
Publisher: Springer
Release Date : 2015-04-08
Mathematical Analysis I written by Claudio Canuto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-08 with Mathematics categories.
The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level requires the additional study of the material contained in the appendices, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a first course of Mathematics.
A Textbook On Ordinary Differential Equations
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Author : Shair Ahmad
language : en
Publisher: Springer
Release Date : 2015-06-05
A Textbook On Ordinary Differential Equations written by Shair Ahmad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-05 with Mathematics categories.
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.
Curves And Surfaces
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Author : M. Abate
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-11
Curves And Surfaces written by M. Abate and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-11 with Mathematics categories.
The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves. The local theory of surfaces begins with a comparison of the concept of parametrized (i.e., immersed) surface with the concept of regular (i.e., embedded) surface. We then develop the basic differential geometry of surfaces in R3: definitions, examples, differentiable maps and functions, tangent vectors (presented both as vectors tangent to curves in the surface and as derivations on germs of differentiable functions; we shall consistently use both approaches in the whole book) and orientation. Next we study the several notions of curvature on a surface, stressing both the geometrical meaning of the objects introduced and the algebraic/analytical methods needed to study them via the Gauss map, up to the proof of Gauss’ Teorema Egregium. Then we introduce vector fields on a surface (flow, first integrals, integral curves) and geodesics (definition, basic properties, geodesic curvature, and, in the complementary material, a full proof of minimizing properties of geodesics and of the Hopf-Rinow theorem for surfaces). Then we shall present a proof of the celebrated Gauss-Bonnet theorem, both in its local and in its global form, using basic properties (fully proved in the complementary material) of triangulations of surfaces. As an application, we shall prove the Poincaré-Hopf theorem on zeroes of vector fields. Finally, the last chapter will be devoted to several important results on the global theory of surfaces, like for instance the characterization of surfaces with constant Gaussian curvature, and the orientability of compact surfaces in R3.
Mathematical Models And Numerical Simulation In Electromagnetism
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Author : Alfredo Bermúdez de Castro
language : en
Publisher: Springer
Release Date : 2014-07-22
Mathematical Models And Numerical Simulation In Electromagnetism written by Alfredo Bermúdez de Castro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.
The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.
Logic A Brief Course
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Author : Daniele Mundici
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-29
Logic A Brief Course written by Daniele Mundici and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-29 with Mathematics categories.
This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interesting to a wide range of students of philosophy and linguistics.