Mathematics of Networks
eBook - ePub

Mathematics of Networks

Modulus Theory and Convex Optimization

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Mathematics of Networks

Modulus Theory and Convex Optimization

About this book

Mathematics of Networks: Modulus Theory and Convex Optimization explores the question: "What can be learned by adapting the theory of p-modulus (and related continuum analysis concepts) to discrete graphs?" This book navigates the rich landscape of p-modulus on graphs, demonstrating how this theory elegantly connects concepts from graph theory, probability, and convex optimization.

This book is ideal for anyone seeking a deeper understanding of the theoretical foundations of network analysis and applied graph theory. It serves as an excellent primary text or reference for graduate and advanced undergraduate courses across multiple disciplines, including mathematics, data science, and engineering, particularly those focusing on network analysis, applied graph theory, optimization, and related areas.

Features:

  • Accessible to students with a solid foundation in multivariable calculus and linear algebra.
  • Broad interdisciplinary appeal, relevant to mathematics, data science, and engineering curricula.
  • Numerous engaging exercises.

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Yes, you can access Mathematics of Networks by Nathan Albin,Pietro Poggi-Corradini in PDF and/or ePUB format, as well as other popular books in Mathematics & Programming Algorithms. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Contents
  7. Preface
  8. Section I The Mathematics of Networks
  9. Section II Optimization Problems on Graphs
  10. Section III The Basic Theory of Modulus
  11. Section IV Families of Paths
  12. Section V The Family of Spanning Trees
  13. Section VI Algorithms for Modulus
  14. Bibliography
  15. Index