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In this chapter, we will lay down the fundamental notions in this book and briefly sketch some concepts such as vector spaces, topology, and optimization. We will also provide insights into the question of existence of solutions to optimization problems. The chapter also discusses how to think about modelling and casting “problems from the real world” into a mathematical framework.

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Introduction

  • 章节

  • 发表日期：

    2025年

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  • Wim Stefanus van Ackooij,
  • Welington Luis de Oliveira

摘要

In this chapter, we will lay down the fundamental notions in this book and briefly sketch some concepts such as vector spaces, topology, and optimization. We will also provide insights into the question of existence of solutions to optimization problems. The chapter also discusses how to think about modelling and casting “problems from the real world” into a mathematical framework.