Linear and Convex Optimization: A Mathematical Approach

Veatch, Michael H.

  • 出版商: Wiley
  • 出版日期: 2021-01-13
  • 定價: $4,200
  • 售價: 9.5$3,990
  • 語言: 英文
  • 頁數: 384
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1119664047
  • ISBN-13: 9781119664048
  • 相關分類: 線性代數 Linear-algebra
  • 立即出貨 (庫存 < 3)

商品描述

Discover the practical impacts of current methods of optimization with this approachable, one-stop resource

Linear and Convex Optimization: A Mathematical Approach delivers a concise and unified treatment of optimization with a focus on developing insights in problem structure, modeling, and algorithms. Convex optimization problems are covered in detail because of their many applications and the fast algorithms that have been developed to solve them.

Experienced researcher and undergraduate teacher Mike Veatch presents the main algorithms used in linear, integer, and convex optimization in a mathematical style with an emphasis on what makes a class of problems practically solvable and developing insight into algorithms geometrically. Principles of algorithm design and the speed of algorithms are discussed in detail, requiring no background in algorithms.

The book offers a breadth of recent applications to demonstrate the many areas in which optimization is successfully and frequently used, while the process of formulating optimization problems is addressed throughout.

Linear and Convex Optimization contains a wide variety of features, including:

  • Coverage of current methods in optimization in a style and level that remains appealing and accessible for mathematically trained undergraduates
  • Enhanced insights into a few algorithms, instead of presenting many algorithms in cursory fashion
  • An emphasis on the formulation of large, data-driven optimization problems
  • Inclusion of linear, integer, and convex optimization, covering many practically solvable problems using algorithms that share many of the same concepts
  • Presentation of a broad range of applications to fields like online marketing, disaster response, humanitarian development, public sector planning, health delivery, manufacturing, and supply chain management

Ideal for upper level undergraduate mathematics majors with an interest in practical applications of mathematics, this book will also appeal to business, economics, computer science, and operations research majors with at least two years of mathematics training.

商品描述(中文翻譯)

這本書名為《線性和凸優化:數學方法》,它提供了一個簡潔而統一的優化處理方法,重點在於發展對問題結構、建模和算法的洞察力。由於凸優化問題具有許多應用和快速算法,因此詳細介紹了這些問題及其解決方法。

作者Mike Veatch是一位經驗豐富的研究人員和本科教師,以數學風格介紹了線性、整數和凸優化中使用的主要算法,並強調了什麼使一類問題在實際上可解決以及如何從幾何角度理解算法。書中詳細討論了算法設計原則和算法的速度,無需算法背景知識。

本書廣泛應用於各個領域,以展示優化在許多成功且頻繁使用的領域中的應用,同時全書貫穿了優化問題的制定過程。

《線性和凸優化》具有以下特點:
- 以吸引數學訓練有素的本科生的風格和水平介紹了當前優化方法
- 對少數算法進行了深入的洞察,而不是簡單地介紹許多算法
- 強調大型、數據驅動的優化問題的制定
- 包括線性、整數和凸優化,涵蓋了許多實際可解決的問題,這些問題使用了許多相同的概念
- 提供廣泛的應用範圍,包括在線營銷、災難應對、人道發展、公共部門規劃、醫療交付、製造和供應鏈管理等領域

這本書非常適合對數學應用感興趣的高年級本科數學專業學生閱讀,同時也適合商業、經濟、計算機科學和運營研究專業的學生,至少需要兩年的數學培訓。

作者簡介

Michael H. Veatch, PhD, is Professor of Mathematics at Gordon College, in Wenham, Massachusetts, United States. He obtained his PhD in Operations Research from the Massachusetts Institute of Technology in Cambridge, MA and has been working in operations research for 40 years.

作者簡介(中文翻譯)

Michael H. Veatch博士是美國麻薩諸塞州溫納姆的Gordon College數學教授。他在麻省理工學院獲得運籌學博士學位,並在運籌學領域工作了40年。