Sign-In
Cart
Algorithmische Zahlentheorie
Paperback
General MathematicsProgramming
ISBN13: 9783658065393
Publisher: Springer Spektrum
Published: Dec 10 2014
Pages: 314
Weight: 1.14
Height: 0.68 Width: 6.69 Depth: 9.61
Language: German
Das Buch gibt eine Einführung in die Zahlentheorie bis hin zu den quadratischen Zahlkörpern. Dabei wird durchgehend auch der algorithmische Aspekt betrachtet. So werden Existenzsätze (z.B. für die Darstellung von Primzahlen der Form p=4n+1 als Summe von zwei Quadratzahlen) stets durch Algorithmen zur Konstruktion ergänzt. Neben den klassischen Inhalten der elementaren Zahlentheorie werden in dem Buch u.a. auch die Multiplikation gro er ganzer Zahlen mittels der schnellen Fourier-Transformation sowie Faktorisierung ganzer Zahlen mit elliptischen Kurven behandelt.
Für die Neuauflage wurden bekannt gewordene Fehler der ersten Auflage korrigiert und an mehreren Stellen Umarbeitungen vorgenommen. Au erdem gibt es neue Abschnitte über die Faktorisierung mit dem Quadratischen Sieb, den Diskreten Logarithmus (der in der Kryptographie eine gro e Rolle spielt) sowie über den deterministischen AKS-Primzahltest mit polynomialer Laufzeit. Damit der Leser die Algorithmen auf seinem Laptop oder PC auch konkret testen kann, werden die Algorithmen in einem pascalähnlichen Code für den vom Autor entwickelten Multipräzisions-Interpreter ARIBAS beschrieben, der zum kostenlosen Download zur Verfügung steht.
Also from
Forster, Otto
Analysis 2: Differentialrechnung Im ℝⁿ, Gewöhnliche Differentialgleichungen
Forster, Otto
Lindemann, Florian
Hardcover
Also in
Programming
Interactive Theorem Proving and Program Development: Coq'art: The Calculus of Inductive Constructions
Castéran, Pierre
Bertot, Yves
Hardcover
The Legend of Zelda(tm) Tears of the Kingdom - The Complete Official Guide: Collector's Edition
Piggyback
Hardcover
Python Crash Course, 3rd Edition: A Hands-On, Project-Based Introduction to Programming
Matthes, Eric
Paperback
Crisis Engineering: Time-Tested Tools for Turning Chaos Into Clarity
Nitze, Marina
Weaver, Matthew
Dickerson, Mikey
Paperback
Accelerate: The Science of Lean Software and DevOps: Building and Scaling High Performing Technology Organizations
Humble, Jez
Kim, Gene
Forsgren Phd, Nicole
Paperback
Vibe Coding: Building Production-Grade Software with Genai, Chat, Agents, and Beyond
Kim, Gene
Yegge, Steve
Paperback
Embedded Systems with ARM Cortex-M Microcontrollers in Assembly Language and C: Fourth Edition
Zhu, Yifeng
Paperback
The Legend of Zelda(tm) Tears of the Kingdom - The Complete Official Guide: Standard Edition
Piggyback
Paperback
Fundamentals of Software Architecture: A Modern Engineering Approach
Richards, Mark
Ford, Neal
Paperback
I Have an App Idea: The Essential Guide to Building an App Without Tech Skills
Spann, Amanda
Paperback
AI Projects with Raspberry Pi: High-Performance Artificial Intelligence for Robotics, Security, Home Automation, and Vision
Jepson, Brian
Hattersley, Lucy
Paperback
Make: Electronics: Learning by Discovery: A Hands-On Primer for the New Electronics Enthusiast
Platt, Charles
Paperback
The Manager's Path: A Guide for Tech Leaders Navigating Growth and Change
Fournier, Camille
Paperback
The Devops Handbook, 2nd Edition: How to Create World-Class Agility, Reliability, & Security in Technology Organizations
Humble, Jez
Debois, Patrick
Kim, Gene
Paperback
Building Applications with AI Agents: Designing and Implementing Multiagent Systems
Albada, Michael
Paperback
The Staff Engineer's Path: A Guide for Individual Contributors Navigating Growth and Change
Reilly, Tanya
Paperback
The Developer's Guide to AI: A Field Guide for the Working Developer
Thompson, Danny
Orshalick, Jacob
Reghunadh, Jerry M.
Paperback
Learning Web Design: A Beginner's Guide to Html, Css, Javascript, and Web Images
Robbins, Jennifer
Paperback
Cracking the Coding Interview: 189 Programming Questions and Solutions
McDowell, Gayle Laakmann
Paperback
The New AI Cold War: Liberty vs. Tyranny in the Age of Machine Empires
Maginnis, Ltc Robert L.
Paperback
Software Architecture: The Hard Parts: Modern Trade-Off Analyses for Distributed Architectures
Richards, Mark
Sadalage, Pramod
Ford, Neal
Paperback
The Return on AI: From Promise to Profit in the Age of Intelligent Business
Sawhney, Mohanbir
Mittal, Ashwin
Paperback
SQL QuickStart Guide: The Simplified Beginner's Guide to Managing, Analyzing, and Manipulating Data With SQL
Shields, Walter
Hardcover
Observability Engineering: Achieving Production Excellence
Fong-Jones, Liz
Miranda, George
Majors, Charity
Paperback
The Pragmatic Programmer: Your Journey to Mastery, 20th Anniversary Edition
Thomas, David
Hunt, Andrew
Hardcover
Linux Basics for Hackers, 2nd Edition: Getting Started with Networking, Scripting, and Security in Kali
Occupytheweb
Paperback
The Official Raspberry Pi Handbook 2026: Astounding Projects with Raspberry Pi Computers
Makers of Raspberry Pi Official Magazine, The
Paperback
Forecasting: Principles and Practice, the Pythonic Way
Hyndman, Rob J.
Athanasopoulos, George
Paperback
Generative AI Design Patterns: Solutions to Common Challenges When Building Genai Agents and Applications
Lakshmanan, Valliappa
Hapke, Hannes
Paperback
Head First Design Patterns: Building Extensible and Maintainable Object-Oriented Software
Freeman, Eric
Robson, Elisabeth
Paperback
Frictionless: 7 Steps to Remove Barriers, Unlock Value, and Outpace Your Competition in the AI Era
Noda, Abi
Forsgren, Nicole
Paperback
Arduino Programming for Beginners: A Comprehensive Beginner's Guide to Learn the Realms of Arduino Programming from A-Z
Protosmith, Ada
Paperback
Concrete Mathematics: A Foundation for Computer Science
Graham, Ronald
Patashnik, Oren
Knuth, Donald
Hardcover
Building AI-Powered Products: The Essential Guide to AI and Genai Product Management
Nika, Marily
Paperback
Grokking Algorithms, Second Edition: An Illustrated Guide for Programmers and Other Curious People
Bhargava, Aditya Y.
Paperback
Debugging: The 9 Indispensable Rules for Finding Even the Most Elusive Software and Hardware Problems
Agans, David J.
Paperback
Learning Domain-Driven Design: Aligning Software Architecture and Business Strategy
Khononov, Vlad
Paperback
Learning Generative AI Tools for Excel: Speed Up Your Everyday Tasks with Microsoft Excel, Copilot, Chatgpt, and Beyond
Duca, Angelica Lo
Paperback
Site Reliability Engineering: How Google Runs Production Systems
Beyer, Betsy
Murphy, Niall Richard
Jones, Chris
Paperback
The Software Architect Elevator: Redefining the Architect's Role in the Digital Enterprise
Hohpe, Gregor
Paperback
Python Programming for Young Coders: A Hands-On, Project-Based Introduction to Coding for Beginners, Kids, and Teens
Pandey, Anand
Paperback
Computer Science from Scratch: Building Interpreters, Art, Emulators and ML in Python
Kopec, David
Paperback
Learning Php, MySQL & JavaScript: A Step-By-Step Guide to Creating Dynamic Websites
Nixon, Robin
Paperback
Building Safer Technology: A Field Guide to Failing Well
Zunger, Yonatan
Coles, Neil
Kissner, Lea
Paperback
Software Engineering at Google: Lessons Learned from Programming Over Time
Winters, Titus
Manshreck, Tom
Wright, Hyrum
Paperback
Prompt Engineering for Llms: The Art and Science of Building Large Language Model-Based Applications
Ziegler, Albert
Berryman, John
Paperback
Articulating Design Decisions: Communicate with Stakeholders, Keep Your Sanity, and Deliver the Best User Experience
Greever, Tom
Paperback
Living a Jewish Life, Revised and Updated: Jewish Traditions, Customs, and Values for Today's Families
Diamant, Anita
Cooper, Howard
Paperback
Pro C# 10 with .Net 6: Foundational Principles and Practices in Programming
Troelsen, Andrew
Japikse, Phil
Paperback
Adobe Photoshop, 2nd Edition: A Complete Course and Compendium of Features
Laskevitch, Stephen
Paperback
Kubernetes in Action, Second Edition: Deploying and Managing Containers and Cloud-Native Applications
Luksa, Marko
Conner, Kevin
Paperback
Spies, Lies, and Algorithms: The History and Future of American Intelligence
Zegart, Amy B.
Paperback
Electronic Music and Sound Design - Theory and Practice with Max 9 - Volume 1 (Fifth Edition)
Cipriani, Alessandro
Maurizio, Giri
Paperback