Tag: Algebra

Zahlen und Algebra


Free Download Zahlen und Algebra: Ein Kurs im Lehramtsstudium
Deutsch | 2024 | ISBN: 3662697750 | 262 Pages | PDF (True) | 3 MB
Das vorliegende Buch liefert eine gründliche Einführung in den Aufbau der Zahlensysteme und grundlegende Konzepte der Algebra. Dabei liegt der Fokus auf Anwendungen und Beispielen, besonders mit Bezug zum Schulunterricht. Im ersten Kapitel werden ausgehend von der leeren Menge die natürlichen, ganzen, rationalen, reellen und komplexen Zahlen sowie die Quaternionen konstruiert. Trotz formaler Exaktheit werden alle Konzepte und Ergebnisse so elementar wie möglich erklärt. Das Kapitel kann deshalb im Lehramtsstudium, aber auch für die Unterrichtsvorbereitung in der Schule herangezogen werden. Das zweite Kapitel beinhaltet einen Zugang zu abstrakteren algebraischen Konzepten wie Gruppen, Ringen und Körpern. Mit Hinblick auf schulrelevante Konzepte werden viele wichtige theoretische Grundlagen formuliert und bewiesen, stets mit Bezug auf die konkreten Zahlbereiche aus dem ersten Kapitel. Auch moderne Anwendungen wie fehlererkennende Codes und Kryptographie werden erklärt.

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Abstract Algebra With Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography


Free Download Abstract Algebra: With Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography (De Gruyter Textbook) by Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke
English | July 22, 2024 | ISBN: 3111139514 | MOBI | 2.18 Mb
Abstract algebra is the study of algebraic structures like groups, rings and fields. This book provides an account of the theoretical foundations including applications to Galois Theory, Algebraic Geometry and Representation Theory. It implements the pedagogic approach to conveying algebra from the perspective of rings. The 3rd edition provides a revised and extended versions of the chapters on Algebraic Cryptography and Geometric Group Theory.

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A Linear Algebra with its Applications


Free Download A Linear Algebra with its Applications
English | 2025 | ISBN: 8770041571 | 336 Pages | PDF EPUB (True) | 18 MB
This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants. Linear algebra is a subject that has found the broadest range of applications in all branches of mathematics, physical and social sciences, and engineering. It has a more significant application in information sciences and control theory.

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Elementary Algebra All in One Skills Practice Workbook with Full Step by Step Solutions


Free Download Elementary Algebra All in One Skills Practice Workbook with Full Step by Step Solutions by Jamie Flux
English | October 15, 2024 | ISBN: N/A | ASIN: B0DK56XKFS | 396 pages | PDF | 6.72 Mb
Unlock the world of algebra with a book designed specifically for young learners. Our comprehensive guide covers fundamental concepts and advanced topics in an engaging and accessible manner, perfect for children eager to master the basics of algebra and beyond.

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Algebra II Chapters 4 – 7


Free Download P.M. Cohn, J. Howie, "Algebra II: Chapters 4 – 7"
English | 2003 | pages: 457 | ISBN: 3540007067 | PDF | 37,4 mb
This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki’s, Algèbre, Chapters 4 to 7 (1981).

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes 11th International Symposium, AAECC-11 Paris, France, July 17


Free Download Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 11th International Symposium, AAECC-11 Paris, France, July 17-22, 1995 Proceedings By L. A. Bassalygo (auth.), Gérard Cohen, Marc Giusti, Teo Mora (eds.)
1995 | 484 Pages | ISBN: 3540601147 | PDF | 8 MB
This book constitutes the proceedings of the 11th International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-11, held in Paris, France in July 1995.The volume presents five invited papers and 32 full revised research papers selected from a total of 68 submissions; it is focussed on research directed to the exploitation of algebraic techniques and methodologies for the application in coding and computer algebra. Among the topics covered are coding, cryptoloy, communication, factorization of polynomials, Gröbner bases, computer algebra, algebraic algorithms, symbolic computation, algebraic manipulation.

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Algebra of Communicating Processes Proceedings of ACP94, the First Workshop on the Algebra of Communicating Processes, Utrecht


Free Download Algebra of Communicating Processes: Proceedings of ACP94, the First Workshop on the Algebra of Communicating Processes, Utrecht, The Netherlands, 16-17 May 1994 By J. A. Bergstra, J. W. Klop (auth.), A. Ponse PhD, C. Verhoef PhD, S. F. M. van Vlijmen Drs. (eds.)
1995 | 359 Pages | ISBN: 3540199098 | PDF | 28 MB
ACP, the Algebra of Communicating Processes, is an algebraic approach to the study of concurrent processes, initiated by Jan Bergstra and Jan Will em Klop in the early eighties. These proceedings comprise the contributions to ACP94, the first workshop devoted to ACP. The work shop was held at Utrecht University, 16-17 May 1994. These proceedings are meant to provide an overview of current research in the area of ACP. They contain fifteen contributions. The first one is a classical paper on ACP by J.A. Bergstra and J.W. Klop: The Algebra of Recursively Defined Processes and the Algebra of Regular Processes, Report IW 235/83, Mathematical Centre, Amsterdam, 1983. It serves as an introduction to the remainder of the proceedings and, indeed, as a general introduction to ACP. An extended abstract of this paper is published under the same title in the ICALP’ 84 proceedings. Of the re maining contributions, three were submitted by the invited speakers and the others were selected by the programme committee. As for the presentations, Jos Baeten, Rob van Glabbeek, Jan Friso Groote, and Frits Vaandrager were each invited to deliver a lecture. A paper relating to Frits Vaandrager’s lecture has already been submitted for publication elsewhere and is not, therefore, included in these pro ceedings. Gabriel Ciobanu, one of our guests, gave an impression of his work in an extra lecture. Furthermore, ten presentations were given on the basis of selected papers.

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Algebra and Coalgebra in Computer Science First International Conference, CALCO 2005, Swansea, UK, September 3-6, 2005. Proceedings


Free Download Algebra and Coalgebra in Computer Science: First International Conference, CALCO 2005, Swansea, UK, September 3-6, 2005. Proceedings By Samson Abramsky (auth.), José Luiz Fiadeiro, Neil Harman, Markus Roggenbach, Jan Rutten (eds.)
2005 | 460 Pages | ISBN: 3540286209 | PDF | 5 MB
This book constitutes the refereed proceedings of the First International Conference on Algebra and Coalgebra in Computer Science, CALCO 2005, held in Swansea, UK in September 2005. The biennial conference was created by joining the International Workshop on Coalgebraic Methods in Computer Science (CMCS) and the Workshop on Algebraic Development Techniques (WADT). It addresses two basic areas of application for algebras and coalgebras – as mathematical objects as well as their application in computer science.The 25 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 62 submissions. The papers deal with the following subjects: automata and languages; categorical semantics; hybrid, probabilistic, and timed systems; inductive and coinductive methods; modal logics; relational systems and term rewriting; abstract data types; algebraic and coalgebraic specification; calculi and models of concurrent, distributed, mobile, and context-aware computing; formal testing and quality assurance; general systems theory and computational models (chemical, biological, etc); generative programming and model-driven development; models, correctness and (re)configuration of hardware/middleware/architectures; re-engineering techniques (program transformation); semantics of conceptual modelling methods and techniques; semantics of programming languages; validation and verification.

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