Libros de Estudios generales, página 4 de 183

Many online applications especially in the financial industries are running on blockchain technologies in a decentralized manner without the use of an authoritative entity or a trusted third party Such systems are only secured by cryptographic protocols and a consensus mechanism As blockchain based solutions will continue to revolutionize online applications in a growing digital market in the future one needs to identify the principal opportunities and potential risks Hence it is unavoidable to learn the mathematical and cryptographic procedures behind blockchain technology in order to understand how such systems work and where the weak points are Cryptographic Primitives in Blockchain Technology provides an introduction to the mathematical and cryptographic concepts behind blockchain technologies and shows how they are applied in blockchain based systems This includes an introduction to the general blockchain technology approaches that are used to build the so called immutable ledgers which are based on cryptographic signature schemes As future quantum computers will break some of the current cryptographic primitive approaches Andreas Bolfing considers their security and presents the current research results that estimate the impact on blockchain based sys

Topologythe branch of mathematics that studies the properties of spaces that remain unaffected by stretching and other distortionscan present significant challenges for undergraduate students of mathematics and the sciences. Understanding Topology aims to change that.The perfect introductory topology textbook, Understanding Topology requires only a knowledge of calculus and a general familiarity with set theory and logic. Equally approachable and rigorous, the books clear organization, worked examples, and concise writing style support a thorough understanding of basic topological principles. Professor Shaun V. Aults unique emphasis on fascinating applications, from mapping DNA to determining the shape of the universe, will engage students in a way traditional topology textbooks do not.This groundbreaking new text: presents Euclidean, abstract, and basic algebraic topology explains metric topology, vector spaces and dynamics, point-set topology, surfaces, knot theory, graphs and map coloring, the fundamental group, and homology includes worked example problems, solutions, and optional advanced sections for independent projectsFollowing a path that will work with any standard syllabus, the book is arranged to help students reach that "Aha!" moment, encouraging readers to use their intuition through local-to-global analysis and emphasizing topological invariants to lay the groundwork for algebraic topology.

This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory and explains how to use these methods to obtain approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute-force numerical methods may not converge to useful solutions. The objective of this book is to teaching the insights and problem-solving skills that are most useful in solving mathematical problems arising in the course of modern research. Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis.Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions.

For practicing engineers who are faced with problems of modeling.Written by a recognized authority in the field of identification and control, this book draws together into a single volume the important aspects of system identification AND physical modelling. Explores techniques used to construct mathematical models of systems based on knowledge from physics, chemistry, biology, etc. (e.g., techniques with so called bond-graphs, as well those which use computer algebra for the modeling work).Explains system identification techniques used to infer knowledge about the behavior of dynamic systems based on observations of the various input and output signals that are available for measurement. Shows how both types of techniques need to be applied in any given practical modeling situation. Considers applications, primarily simulation.Features- brings together all basic techniques for modeling of dynamic systems - with even stress on physical modeling and system identification. - describes how to create physical models and - in cases where these physical models contain unknown parameters - how to estimate these from data from actual experiments of a system. - explains how to form models from basic physical equations. Shows in a specific example techniques that can be applied to a multitude of situations. - shows how to use data to develop nonlinear models in a simple fashion. - considers how to identify systems in a closed loop. Describes the problems that arise when data are collected under output feedback and describes how to deal with such a situation successfully.