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Saturday, May 2, 2020 | History

5 edition of Algorithmic Methods in Algebra and Number Theory found in the catalog.

Algorithmic Methods in Algebra and Number Theory

Michael Pohst

Algorithmic Methods in Algebra and Number Theory

From a Special Issue of the Journal of Symbolic Computation

by Michael Pohst

  • 157 Want to read
  • 3 Currently reading

Published by Academic Press .
Written in English

    Subjects:
  • Algebra - General,
  • Computer Programming,
  • Number theory,
  • Mathematics,
  • Algorithms (Computer Programming),
  • Science/Mathematics

  • The Physical Object
    FormatPaperback
    Number of Pages137
    ID Numbers
    Open LibraryOL9283241M
    ISBN 10012559190X
    ISBN 109780125591904

    Book Description. Developed from the author’s popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in . There is no book that covers all the aspects of computer algebra, not even a book that adequately covers more than one aspect. That is to say, in no particular order one has here: Commutative algebra/classical algebraic geometry; Computational group theory; Computational number theory; Symbolic calculus, e.g. symbolic integration.

      Divided into three parts, the book begins with a short introduction to cryptography and a background chapter on elementary number theory and algebra. It then moves on to algorithms, with each chapter in this section dedicated to a single topic and often illustrated with Price: $ Algorithmic Number Theory S. Arun-Kumar December 1, 2. Contents I Lectures 9 1 Lecture-wise break up 11 2 Divisibility and the Euclidean Algorithm 13 3 Fibonacci Numbers 15 4 Continued Fractions 19 5 Simple Infinite Continued Fraction 23 6 Rational Approximation of Irrationals

    The material in Mathematical Methods is an introduction to the math-ematical techniques and algorithmic methods of computer algebra. Al-though the material in this book is more difficult and requires greater math-ematical sophistication, the approach and selection of topics is designed so that it is accessible and interesting to the intended.   Illustrating the power of algorithms, Algorithmic Cryptanalysis describes algorithmic methods with cryptographically relevant examples. Focusing on both private- and public-key cryptographic algorithms, it presents each algorithm either as a textual description, in pseudo-code, or in a C code d into three parts, the book begins with aBook Edition: 1st Edition.


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Algorithmic Methods in Algebra and Number Theory by Michael Pohst Download PDF EPUB FB2

Algorithmic Methods in Algebra and Number Theory 1st Edition by Michael Pohst (Editor) ISBN ISBN X. Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from to Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups (Mathematical Modelling: Theory and Applications Book 17) - Kindle edition by Bueso, J.L., Gómez-Torrecillas, José, Verschoren, A.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Algorithmic Methods in Non Cited by: The purpose of this research program and the meeting was to bring together developers of computer algebra software and researchers using computational methods to gain insight into experimental problems and theoretical questions in algebra and number theory.

The book gives an overview on algorithmic methods and results obtained during this. New methods which have been developed for experimental number theoreticians are included along with new and important results.

Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of by: ISBN: X OCLC Number: Notes: "Reprinted from the Journal of Symbolic Computation, vol.

4, no. 1, " "Dedicated to Hans Zassenhaus on the occasion of his 75th birthday"--Page [i]. rent book by some of these other books in order to bring in such topics as factorization, number-theoretic or group-theoretic algorithms, integration or differential algebra.

The author is grateful to many of his colleagues at NYU and elsewhere for their support, encouragement, help and advice. Namely, J. File Size: 2MB. The purpose of this research program and of the meeting was to bring together developers of computer algebra software and researchers using com putational methods to gain insight into experimental problems and theoret ical questions in algebra and number theory.

The book gives an overview on algorithmic methods and on results ob tained during. Dedicated to Professor Hans Zassenhaus on the occasion of his 75th birthday Contents Introduction Computing the Decomposition of Primes p and p-adic Absolute Values in Semi-single. In mathematics and computer science, computational number theory, also known as algorithmic number theory, is the study of computational methods for investigating and solving problems in number theory and arithmetic geometry, including algorithms for primality testing and integer factorization, finding solutions to diophantine equations, and explicit methods in arithmetic geometry.

Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups - Ebook written by J.L. Bueso, José Gómez-Torrecillas, A. Verschoren. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum.

Title: algebra number theory. An ex-library book and may have standard library stamps and/or stickers. The dust jacket is missing. At ThriftBooks, our motto is: Read More, Spend Less.

Algorithmic Methods in Algebra and Number Theory. Author Unknown. Published by Academic Press (). This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP "Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory", which was established and generously supported by the German Research Foundation (DFG) from to Number Theory Books, P-adic Numbers, p-adic Analysis and Zeta-Functions, (2nd edn.)N.

Koblitz, Graduate T Springer Algorithmic Number Theory, Vol. 1, E. Bach and J. Shallit, MIT Press, August ; Automorphic Forms and Representations, D.

Bump, CUP ; Notes on Fermat's Last Theorem, A.J. van der Poorten, Canadian Mathematical Society Series of Monographs and Advanced.

Now in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject.

On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. Algorithmic Game Theory, first published indevelops the central ideas and results of this exciting area in a clear and succinct manner.

More than 40 of the top researchers in this field have written chapters that go from the foundations to the state of the art. Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups (Mathematical Modelling: Theory and Applications) Pdf, Download.

It also provides a comprehensive look at recent research. For experimental number theoreticians, the authors developed new methods and obtained new results of great importance for them.

Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book. Algorithmic Methods in Algebra & Number Theory avg rating — 0 ratings — published Want to Read saving 3/5(1).

Another interesting book: A Pathway Into Number Theory - Burn [B.B] The book is composed entirely of exercises leading the reader through all the elementary theorems of number theory.

Can be tedious (you get to verify, say, Fermat's little theorem for maybe $5$ different sets of numbers) but a good way to really work through the beginnings of. Illustrating the power of algorithms, Algorithmic Cryptanalysis describes algorithmic methods with cryptographically relevant examples.

Focusing on both private- and public-key cryptographic algorithms, it presents each algorithm either as a textual description, in pseudo-code, or in a C code program.

Divided into three parts, the book begins with a short introduction to cryptography .Book Description. Illustrating the power of algorithms, Algorithmic Cryptanalysis describes algorithmic methods with cryptographically relevant examples.

Focusing on both private- and public-key cryptographic algorithms, it presents each algorithm either as a textual description, in pseudo-code, or in a C code program.Divided into three parts, the book begins with a short introduction to cryptography and a background chapter on elementary number theory and algebra.

It then moves on to algorithms, with each chapter in this section dedicated to a single topic and often illustrated with simple cryptographic applications.