Description
MATHEMATICS IN THE COMPUTER AGE
Book Summary
This work explores how the emergence of the computer has profoundly transformed the landscape of mathematics. Beyond being a simple calculation tool, the computer has driven the birth of new disciplines and revitalized existing branches. Through a journey across cryptology, fractal geometry, and deterministic chaos theory, the author illustrates the substantial changes in mathematical methods and the new possibilities that have opened up. A concise and revealing analysis of the symbiosis between computational power and modern mathematical thought.
What is it about?
The book is structured around the central thesis that the computer has not only streamlined calculations but has redefined the very nature of mathematical research. To demonstrate this, the author examines three key areas that have flourished thanks to this synergy:
- Cryptology: It analyzes how massive processing capacity has allowed for the development and breaking of increasingly complex codes, turning this discipline into a pillar of digital security.
- Fractal geometry: It explains how computer graphic visualization has made it possible to discover and study geometric structures of infinite complexity present in nature.
- Deterministic chaos theory: It addresses how numerical simulation has allowed for the understanding of seemingly unpredictable dynamic systems, revealing hidden patterns in phenomena such as climate or populations.
The work, based on an inaugural lecture, offers a historical and conceptual perspective on these developments, showing how the computer has gone from being a tool to a driver of mathematical discovery.
Main Topics
- Impact of computing on mathematical methodology.
- History and evolution of modern cryptology.
- Fundamentals and applications of fractal geometry.
- Principles of deterministic chaos theory.
- Relationship between graphical power and mathematical discovery.
Who is it recommended for?
This book is aimed at students and professionals in mathematics, computer science, physics, and engineering interested in the intersection between computing and abstract thought. It will also be of great interest to curious readers with a basic scientific background who wish to understand how the computer has revolutionized key mathematical disciplines in an accessible and well-documented way.
What this book offers
- A clear and contextualized vision of how computer science has transformed contemporary mathematics.
- A didactic journey through three highly relevant mathematical disciplines: cryptology, fractals, and chaos.
- Concrete examples that illustrate the paradigm shift in mathematical research.
- A solid conceptual foundation for understanding the relationship between computational tools and new theories.
Technical Specifications
- Author: PIÑEIRO GOMEZ, CANDIDO
- Publisher: Universidad de Huelva
- Language: Spanish
- Subject: MATHEMATICS, COMPUTER SCIENCE: GENERAL ISSUES
- Collection: ALDINA
- Binding: Paperback
- Publication Date: 10/11/2020
- Number of pages: 61
- Weight: 116 g
Editorial Review
This is a brief but conceptually dense work, ideal for anyone seeking a rigorous and updated introduction to the influence of the computer on mathematics. Its focus on three paradigmatic areas allows the reader to tangibly appreciate how computing has opened new frontiers of knowledge. A valuable text both for complementing academic studies and for satisfying intellectual curiosity about contemporary science.