Libros de Estudios generales, página 36 de 209

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.

Incluye 425 problemas resueltos.

The study of networks, including computer networks, social networks, and biological networks, has attracted enormous interest in the last few years. The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyze network data on anunprecedented scale, and the development of new theoretical tools has allowed us to extract knowledge from networks of many different kinds. The study of networks is broadly interdisciplinary and central developments have occurred in many fields, including mathematics, physics, computer andinformation sciences, biology, and the social sciences. This book brings together the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas.

In this book, several world experts present (one part of) the mathematical heritage of Kolmogorov. Each chapter treats one of his research themes or a subject invented as a consequence of his discoveries. The authors present his contributions, his methods, the perspectives he opened to us, and the way in which this research has evolved up to now. Coverage also includes examples of recent applications and a presentation of the modern prospects.

Problemas de variaciones, permutaciones, combinaciones y binomio de Newton. Ejercicios de operaciones con potencias, operaciones con radicales, operaciones con polinomios, operaciones con fracciones algebraicas y Regla de Ruffini. Resolución de ecuaciones de primer y segundo grado. Resolución de sistemas de ecuaciones. Problemas de progresiones aritméticas y geométricas. Problemas sobre vectores, dependencia e independencia lineal. Problemas de límites de sucesiones. Trigonometría. Cálculo de derivadas y diferenciales. Cálculo de máximo y mínimos. Cálculo de integrales indefinidas y definidas. Espacios vectoriales. Aplicaciones lineales y cálculo matricial. Problemas del producto escalar, vectorial y mixto. Probabilidad y cálculo de límites por la regla de L'Hôpital.

Este libro intenta dotar a los estudiantes de 1er. Curso de Ciencias o Ingeniería de un instrumento de trabajo específico para la asimilación del cálculo de una variable. Está dividido en 10 capítulos y 1 apendice. Cada capitulos se inicia con una exposicion breve de los conceptos y resultados principales que debe haber asimilado el estudiante previamente a la resolucion de problemas. Sigue un test de autoevaluacion de los conocimientos teoricos, finalizando cada capitulo con ejercicios resueltos.