Piacentini Cattaneo, Giulia Maria
Overview
Works:  17 works in 66 publications in 2 languages and 1,040 library holdings 

Genres:  Textbooks Conference papers and proceedings 
Roles:  Author, Editor, Other, coo, Collector 
Classifications:  QA248, 512.817 
Publication Timeline
.
Most widely held works by
Giulia Maria Piacentini Cattaneo
Elementary number theory, cryptography and codes by
M. Welleda Baldoni(
)
20 editions published between 2008 and 2009 in English and held by 554 WorldCat member libraries worldwide
In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years have proven to be extremely useful for applications to cryptography and coding theory. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise in implementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensively discussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field. Coding theory is not discussed in full; however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most of which are included in the last chapter
20 editions published between 2008 and 2009 in English and held by 554 WorldCat member libraries worldwide
In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years have proven to be extremely useful for applications to cryptography and coding theory. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise in implementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensively discussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field. Coding theory is not discussed in full; however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most of which are included in the last chapter
Aritmetica, crittografia e codici by
M. Welleda Baldoni(
)
13 editions published between 2006 and 2007 in Italian and English and held by 355 WorldCat member libraries worldwide
Si sviluppano le tecniche di base di algebra e di teoria dei numeri utili in recenti applicazioni alla crittografia e ai codici, con l'intento di essere elementari e autosufficienti. Viene posto l'accento su problemi di natura computazionale. Questa parte del volume può essere utile quale libro di testo per un primo corso di algebra per matematici, informatici o ignegneri. Vengono poi illustrate importanti applicazioni dell'algebra e della geometria alla crittografia e ai codici. Entrambi, crittografia e codici hanno notevoli applicazioni nella vita quotidiana che vengono qui illustrate. La crittografia è sviluppata in dettaglio in gran parte dei suoi aspetti classici e attuali, e viene sviluppata sia la crittografia a chiave privata che quella a chiave pubblica. Viene anche illustrata la crittografia con l'uso di curve ellittiche sui campi finiti. Ai codici lineari è dedicato un capitolo di introduzione all'argomento. Questa parte del libro può essere utile per un corso della laurea triennale o specialistica per matematici, fisici, informatici o ingegneri. Il libro è ricco di complementi ed esercizi, in buona parte svolti. Vengono indicate le parti e gli esercizi di maggiore o minore difficoltà
13 editions published between 2006 and 2007 in Italian and English and held by 355 WorldCat member libraries worldwide
Si sviluppano le tecniche di base di algebra e di teoria dei numeri utili in recenti applicazioni alla crittografia e ai codici, con l'intento di essere elementari e autosufficienti. Viene posto l'accento su problemi di natura computazionale. Questa parte del volume può essere utile quale libro di testo per un primo corso di algebra per matematici, informatici o ignegneri. Vengono poi illustrate importanti applicazioni dell'algebra e della geometria alla crittografia e ai codici. Entrambi, crittografia e codici hanno notevoli applicazioni nella vita quotidiana che vengono qui illustrate. La crittografia è sviluppata in dettaglio in gran parte dei suoi aspetti classici e attuali, e viene sviluppata sia la crittografia a chiave privata che quella a chiave pubblica. Viene anche illustrata la crittografia con l'uso di curve ellittiche sui campi finiti. Ai codici lineari è dedicato un capitolo di introduzione all'argomento. Questa parte del libro può essere utile per un corso della laurea triennale o specialistica per matematici, fisici, informatici o ingegneri. Il libro è ricco di complementi ed esercizi, in buona parte svolti. Vengono indicate le parti e gli esercizi di maggiore o minore difficoltà
Topics in computational algebra by
Giulia Maria Piacentini Cattaneo(
)
15 editions published in 1990 in English and Undetermined and held by 97 WorldCat member libraries worldwide
The main purpose of these lectures is first to briefly survey the fundamental con nection between the representation theory of the symmetric group Sn and the theory of symmetric functions and second to show how combinatorial methods that arise naturally in the theory of symmetric functions lead to efficient algorithms to express various prod ucts of representations of Sn in terms of sums of irreducible representations. That is, there is a basic isometry which maps the center of the group algebra of Sn, Z(Sn), to the space of homogeneous symmetric functions of degree n, An. This basic isometry is known as the Frobenius map, F. The Frobenius map allows us to reduce calculations involving characters of the symmetric group to calculations involving Schur functions. Now there is a very rich and beautiful theory of the combinatorics of symmetric functions that has been developed in recent years. The combinatorics of symmetric functions, then leads to a number of very efficient algorithms for expanding various products of Schur functions into a sum of Schur functions. Such expansions of products of Schur functions correspond via the Frobenius map to decomposing various products of irreducible representations of Sn into their irreducible components. In addition, the Schur functions are also the characters of the irreducible polynomial representations of the general linear group over the complex numbers GLn(C)
15 editions published in 1990 in English and Undetermined and held by 97 WorldCat member libraries worldwide
The main purpose of these lectures is first to briefly survey the fundamental con nection between the representation theory of the symmetric group Sn and the theory of symmetric functions and second to show how combinatorial methods that arise naturally in the theory of symmetric functions lead to efficient algorithms to express various prod ucts of representations of Sn in terms of sums of irreducible representations. That is, there is a basic isometry which maps the center of the group algebra of Sn, Z(Sn), to the space of homogeneous symmetric functions of degree n, An. This basic isometry is known as the Frobenius map, F. The Frobenius map allows us to reduce calculations involving characters of the symmetric group to calculations involving Schur functions. Now there is a very rich and beautiful theory of the combinatorics of symmetric functions that has been developed in recent years. The combinatorics of symmetric functions, then leads to a number of very efficient algorithms for expanding various products of Schur functions into a sum of Schur functions. Such expansions of products of Schur functions correspond via the Frobenius map to decomposing various products of irreducible representations of Sn into their irreducible components. In addition, the Schur functions are also the characters of the irreducible polynomial representations of the general linear group over the complex numbers GLn(C)
Algebra : un approccio algoritmico by
Giulia Maria Piacentini Cattaneo(
Book
)
2 editions published in 1996 in Italian and held by 12 WorldCat member libraries worldwide
2 editions published in 1996 in Italian and held by 12 WorldCat member libraries worldwide
Matematica discreta e applicazioni by
Giulia Maria Piacentini Cattaneo(
Book
)
2 editions published in 2008 in Italian and held by 7 WorldCat member libraries worldwide
2 editions published in 2008 in Italian and held by 7 WorldCat member libraries worldwide
The theory of sets and transfinite arithmetic by
Alexander Abian(
Book
)
2 editions published in 1972 in Italian and held by 3 WorldCat member libraries worldwide
2 editions published in 1972 in Italian and held by 3 WorldCat member libraries worldwide
Introduzione alla teoria degli anelli non commutativi by
Giulia Maria Piacentini Cattaneo(
Book
)
2 editions published in 1978 in Undetermined and Italian and held by 3 WorldCat member libraries worldwide
2 editions published in 1978 in Undetermined and Italian and held by 3 WorldCat member libraries worldwide
Degree three identities(
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
Numeri e codici : corso di matematica ed elementi di didattica(
Book
)
1 edition published in 2001 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 2001 in Italian and held by 1 WorldCat member library worldwide
Sul valore conoscitivo dei modelli : un contributo in scienza, filosofia e teologia(
Book
)
1 edition published in 2017 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 2017 in Italian and held by 1 WorldCat member library worldwide
Note di matematica discreta : parte seconda (capitoli 610) by
M. Welleda Baldoni(
Book
)
1 edition published in 2003 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 2003 in Italian and held by 1 WorldCat member library worldwide
Special issue on topics in computational algebra(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Note di matematica discreta : parte prima (capitoli 15) by
M. Welleda Baldoni(
Book
)
1 edition published in 2002 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 2002 in Italian and held by 1 WorldCat member library worldwide
Mathematics towards the third Millennium : (Roma, 2729 maggio 1999) ; convegno internazionale(
Book
)
1 edition published in 2000 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 2000 in Undetermined and held by 1 WorldCat member library worldwide
Topics in computational algebra : Semester : Papers(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Topics in Computational Algebra : Papers presented at the Computational Algebra Seminar held at the University of Roma 'Tor
Vergata', 911 May 1990(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Elementary Number Theory, Cryptography and Codes(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Ciliberto, C. (Ciro) 1950 Author
 Baldoni, M. Welleda 1949 Author
 Strickland, E. Other Editor
 Computational Algebra Seminar (1990, Roma)
 Abian, Alexander Author
 Abbona, Francesco Collector Editor
 De Cecco, Giuseppe Editor
 Cibelli, Edoardo (1975....). Editor
 Bossa, Mario Collector
 Abeasis, Silvana
Associated Subjects
Algebra AlgebraData processing Coding theory Combinatorial analysis Computer scienceMathematics Cryptography CryptographyMathematics Data structures (Computer science) Electronic data processing Geometry Knowledge, Theory of Mathematics Number theory Philosophy and religion Religion and science Set theory Transfinite numbers
Covers
Alternative Names
Cattaneo, G.M. Piacentini
Cattaneo, G. M. Piacentini (Giulia Maria Piacentini)
Cattaneo, Giulia M. Piacentini 1945
Cattaneo Giulia Maria Piacentini
Cattaneo Piacentini, Maria Giulia 1945
Piacentini Cattaneo, G. M.
Piacentini Cattaneo, G. M. 1945
Piacentini Cattaneo, G. M. (Giulia Maria)
PiacentiniCattaneo, Giulia M. 1945
Piacentini Cattaneo, Giulia Maria 1945
Piacentini, G. M.
Languages