Kreuzer, Martin
Overview
Works:  58 works in 169 publications in 2 languages and 2,797 library holdings 

Genres:  Textbooks Academic theses 
Roles:  Author, dgs, Contributor, Other, Collector, htt 
Classifications:  QA251.3, 510 
Publication Timeline
.
Most widely held works by
Martin Kreuzer
A course in mathematical cryptography by
Gilbert Baumslag(
)
11 editions published between 2015 and 2016 in English and held by 838 WorldCat member libraries worldwide
"Cryptography has become essential as bank transactions, credit card information, contracts, and sensitive medical information are sent through insecure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by the authors over the past twenty years at various universities and covers a wide range of topics in mathematical cryptography. It is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area. Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics such as; GroupBased Cryptography; Gröbner Basis Methods in Cryptography; LatticeBased Cryptography."Publisher's description
11 editions published between 2015 and 2016 in English and held by 838 WorldCat member libraries worldwide
"Cryptography has become essential as bank transactions, credit card information, contracts, and sensitive medical information are sent through insecure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by the authors over the past twenty years at various universities and covers a wide range of topics in mathematical cryptography. It is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area. Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics such as; GroupBased Cryptography; Gröbner Basis Methods in Cryptography; LatticeBased Cryptography."Publisher's description
Computational commutative algebra 2 by
Martin Kreuzer(
)
26 editions published between 2005 and 2010 in English and held by 575 WorldCat member libraries worldwide
Computational Commutative Algebra 2 is the natural continuation of Computational Commutative Algebra 1 with some twists, starting with the differently coloured cover graphics. The first volume had 3 chapters, 20 sections, 44 tutorials, and some amusing quotes. Since bigger is better, this book contains 3 chapters filling almost twice as many pages, 23 sections (some as big as a whole chapter), and 55 tutorials (some as big as a whole section). The number of jokes and quotes has increased exponentially due to the littleknown fact that a good mathematical joke is better than a dozen mediocre papers. The main part of this book is a breathtaking passeggiata through the computational domains of graded rings and modules and their Hilbert functions. Besides Gröbner bases, we encounter Hilbert bases, border bases, SAGBI bases, and even SuperG bases. The tutorials traverse areas ranging from algebraic geometry and combinatorics to photogrammetry, magic squares, coding theory, statistics, and automatic theorem proving. Whereas in the first volume gardening and chess playing were not treated, in this volume they are. This is a book for learning, teaching, reading, and most of all, enjoying the topic at hand. The theories it describes can be applied to anything from children's toys to oil production. If you buy it, probably one spot on your desk will be lost forever!
26 editions published between 2005 and 2010 in English and held by 575 WorldCat member libraries worldwide
Computational Commutative Algebra 2 is the natural continuation of Computational Commutative Algebra 1 with some twists, starting with the differently coloured cover graphics. The first volume had 3 chapters, 20 sections, 44 tutorials, and some amusing quotes. Since bigger is better, this book contains 3 chapters filling almost twice as many pages, 23 sections (some as big as a whole chapter), and 55 tutorials (some as big as a whole section). The number of jokes and quotes has increased exponentially due to the littleknown fact that a good mathematical joke is better than a dozen mediocre papers. The main part of this book is a breathtaking passeggiata through the computational domains of graded rings and modules and their Hilbert functions. Besides Gröbner bases, we encounter Hilbert bases, border bases, SAGBI bases, and even SuperG bases. The tutorials traverse areas ranging from algebraic geometry and combinatorics to photogrammetry, magic squares, coding theory, statistics, and automatic theorem proving. Whereas in the first volume gardening and chess playing were not treated, in this volume they are. This is a book for learning, teaching, reading, and most of all, enjoying the topic at hand. The theories it describes can be applied to anything from children's toys to oil production. If you buy it, probably one spot on your desk will be lost forever!
Computational commutative algebra 1 by
Martin Kreuzer(
Book
)
24 editions published between 2000 and 2010 in English and German and held by 364 WorldCat member libraries worldwide
"The main topic of this book is that of Groebner bases and their applications. The main purpose of this book is that of bridging the current gap in the literature between theory and real computation. The book can be used by teachers and students alike as a comprehensive guide to both the theory and the practice of Computational Commutative Algebra. It has been made as selfcontained as possible, and thus is ideally suited as a textbook for graduate or advanced undergraduate courses. Numerous applications are described, covering fields as disparate as algebraic geometry and financial markets. To aid a deeper understanding of these applications, there are 44 tutorials aimed at illustrating how the theory can be used in these cases
24 editions published between 2000 and 2010 in English and German and held by 364 WorldCat member libraries worldwide
"The main topic of this book is that of Groebner bases and their applications. The main purpose of this book is that of bridging the current gap in the literature between theory and real computation. The book can be used by teachers and students alike as a comprehensive guide to both the theory and the practice of Computational Commutative Algebra. It has been made as selfcontained as possible, and thus is ideally suited as a textbook for graduate or advanced undergraduate courses. Numerous applications are described, covering fields as disparate as algebraic geometry and financial markets. To aid a deeper understanding of these applications, there are 44 tutorials aimed at illustrating how the theory can be used in these cases
Computational linear and commutative algebra by
Martin Kreuzer(
)
15 editions published between 2016 and 2018 in English and held by 318 WorldCat member libraries worldwide
"This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zerodimensional commutative rings, primary decompositions and polynomial system solving. It integrates the "Linear Algebra of the Third Millennium", developed exclusively here, with classical algorithmic and algebraic techniques." "This book completes a trilogy initiated by the uncharacteristically witty books "Computational Commutative Algebra 1 and 2 by the same authors."Page 4 of cover
15 editions published between 2016 and 2018 in English and held by 318 WorldCat member libraries worldwide
"This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zerodimensional commutative rings, primary decompositions and polynomial system solving. It integrates the "Linear Algebra of the Third Millennium", developed exclusively here, with classical algorithmic and algebraic techniques." "This book completes a trilogy initiated by the uncharacteristically witty books "Computational Commutative Algebra 1 and 2 by the same authors."Page 4 of cover
Logik für Informatiker by
Martin Kreuzer(
Book
)
6 editions published between 2006 and 2014 in German and held by 148 WorldCat member libraries worldwide
Logik für Informatiker ist ein einführendes Lehrbuch zur LogikVorlesung für das Grund und Bachelorstudium. Der Schwerpunkt liegt dabei in der hohen Praxisrelevanz und der Anwendbarkeit in der Informatik. Die Autoren behandeln alle relevanten klassischen und modernen Logiksysteme. Und logische Systeme sind für jeden angehenden Informatiker von grundlegender Bedeutung, da sie für bestimmte Gebiete der Informatik das theoretische Fundament liefern. Die Autoren bieten eine leicht verständliche Einführung in die Logik, soweit diese für moderne Informatik relevant ist. Auf Grund mehrjähriger Lehre
6 editions published between 2006 and 2014 in German and held by 148 WorldCat member libraries worldwide
Logik für Informatiker ist ein einführendes Lehrbuch zur LogikVorlesung für das Grund und Bachelorstudium. Der Schwerpunkt liegt dabei in der hohen Praxisrelevanz und der Anwendbarkeit in der Informatik. Die Autoren behandeln alle relevanten klassischen und modernen Logiksysteme. Und logische Systeme sind für jeden angehenden Informatiker von grundlegender Bedeutung, da sie für bestimmte Gebiete der Informatik das theoretische Fundament liefern. Die Autoren bieten eine leicht verständliche Einführung in die Logik, soweit diese für moderne Informatik relevant ist. Auf Grund mehrjähriger Lehre
Computational commutative algebra by
Martin Kreuzer(
Book
)
11 editions published in 2000 in English and Undetermined and held by 128 WorldCat member libraries worldwide
11 editions published in 2000 in English and Undetermined and held by 128 WorldCat member libraries worldwide
Elektronische Bankvertriebswege die zukünftige Entwicklung und Bedeutung elektronischer Kommunikationskanäle und ihre Eignung
zum Absatz von Bankleistungen im Privatkundengeschäft by
Martin Kreuzer(
Book
)
9 editions published between 1996 and 1998 in German and held by 100 WorldCat member libraries worldwide
Unter Zugrundelegung einer DelphiExpertenbefragung werden in diesem Buch die technologische Entwicklung, Verbreitung und Bedeutung elektronischer Bankvertriebswege in der nächsten Dekade prognostiziert sowie grundsätzliche Eignungskriterien elektronischer Kommunikationskanäle zum Absatz von Bankprodukten im Privatkundengeschäft erarbeitet. Weiterhin werden Lösungsansätze zur Verbesserung dieser Eignung dargestellt. Die Einbettung der vorgestellten Trends und Lösungskonzepte in einen strategischen Gesamtrahmen unter Einbettung eines Fallbeispiels rundet die Arbeit ab. Mehr als 70 Abbildungen und Tabellen dienen einer ausführlichen Darstellung der aufgezeigten Entwicklungspfade und Ergebnisse
9 editions published between 1996 and 1998 in German and held by 100 WorldCat member libraries worldwide
Unter Zugrundelegung einer DelphiExpertenbefragung werden in diesem Buch die technologische Entwicklung, Verbreitung und Bedeutung elektronischer Bankvertriebswege in der nächsten Dekade prognostiziert sowie grundsätzliche Eignungskriterien elektronischer Kommunikationskanäle zum Absatz von Bankprodukten im Privatkundengeschäft erarbeitet. Weiterhin werden Lösungsansätze zur Verbesserung dieser Eignung dargestellt. Die Einbettung der vorgestellten Trends und Lösungskonzepte in einen strategischen Gesamtrahmen unter Einbettung eines Fallbeispiels rundet die Arbeit ab. Mehr als 70 Abbildungen und Tabellen dienen einer ausführlichen Darstellung der aufgezeigten Entwicklungspfade und Ergebnisse
Various Differents for 0Dimensional Schemes and Applications by Ngoc Long Le(
)
1 edition published in 2016 in English and held by 34 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 34 WorldCat member libraries worldwide
Generalizations and Applications of Border Bases by Markus Kriegl(
)
1 edition published in 2016 in English and held by 34 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 34 WorldCat member libraries worldwide
Die TitsAlternative für eine relevante Klasse endlich präsentierter Gruppen unter besonderer Berücksichtigung computeralgebraischer
Aspekte by Kristina Rosenthal(
)
1 edition published in 2015 in German and held by 34 WorldCat member libraries worldwide
1 edition published in 2015 in German and held by 34 WorldCat member libraries worldwide
Vektorbünde und der Satz von CayleyBacharach by
Martin Kreuzer(
Book
)
5 editions published in 1989 in German and Undetermined and held by 31 WorldCat member libraries worldwide
5 editions published in 1989 in German and Undetermined and held by 31 WorldCat member libraries worldwide
Beiträge zur Theorie der nulldimensionalen Unterschemata projetiver Räume by
Martin Kreuzer(
Book
)
5 editions published in 1998 in German and held by 20 WorldCat member libraries worldwide
5 editions published in 1998 in German and held by 20 WorldCat member libraries worldwide
Analysis and Design of Symmetric Cryptographic Algorithms by Philipp Jovanovic(
)
1 edition published in 2015 in English and held by 18 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 18 WorldCat member libraries worldwide
Kähler Differential Algebras for 0Dimensional Schemes and Applications by Nguyen Khanh Linh Tran(
)
1 edition published in 2015 in English and held by 18 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 18 WorldCat member libraries worldwide
Border basis schemes by Bilge Sipal(
)
1 edition published in 2017 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 17 WorldCat member libraries worldwide
New Techniques for Polynomial System Solving by Ehsan Ullah(
)
1 edition published in 2012 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 17 WorldCat member libraries worldwide
Noncommutative Gröbner bases and applications by Xingqiang Xiu(
)
1 edition published in 2012 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 16 WorldCat member libraries worldwide
Logik für Informatiker ePDF by
Martin Kreuzer(
)
2 editions published in 2014 in German and held by 6 WorldCat member libraries worldwide
2 editions published in 2014 in German and held by 6 WorldCat member libraries worldwide
Computational commutative algebra by
Martin Kreuzer(
Book
)
4 editions published between 2000 and 2016 in English and held by 5 WorldCat member libraries worldwide
4 editions published between 2000 and 2016 in English and held by 5 WorldCat member libraries worldwide
Logik für Informatiker by
Martin Kreuzer(
)
1 edition published in 2006 in German and held by 5 WorldCat member libraries worldwide
1 edition published in 2006 in German and held by 5 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Robbiano, Lorenzo Other Author
 Fine, Benjamin 1948 Collector Contributor
 Rosenberger, Gerhard Editor Contributor
 Baumslag, Gilbert Author Contributor Collector
 Kühling, Stefan Other
 Kriegl, Markus Author
 Winkler, Franz
 Le, Ngoc Long Author
 Rosenthal, Kristina Author
 Polian, Ilia
Useful Links
Associated Subjects
Algebra AlgebraData processing Algebras, Linear Algorithms Coding theory Commutative algebra Commutative algebraData processing Commutative rings Computer scienceMathematics Cryptography CryptographyMathematics Data encryption (Computer science) Economics Geometry, Algebraic Gröbner bases Group theory Logic, Symbolic and mathematical Management information systems Mathematics Projective spaces Public key cryptography Schemes (Algebraic geometry) United States Vector bundles
Covers
Alternative Names
Martin Kreuzer deutscher Mathematiker und Fernschachspieler
Martin Kreuzer Duits wiskundige
Martin Kreuzer German chess player and mathematician
Martin Kreuzer professor académico alemão
Martin Kreuzer tysk professor
مارتن كروزار رياضياتي ألماني
Languages