Foundations of Optimization pdf epub mobi txt 电子书下载 2026

简体网页||繁体网页

☆☆☆☆☆

出版者:Springer Verlag

作者:Guler, Osman

出品人:

页数:460

译者:

出版时间:2010-8

价格:$ 84.69

装帧:HRD

isbn号码:9780387344317

丛书系列:Graduate Texts in Mathematics

图书标签:

数学
优化
数学规划
运筹学
算法
凸优化
数值优化
最优化理论
机器学习
工程优化
应用数学

下载链接在页面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 复制链接

想要找书就要到小哈图书下载中心

qciss.net

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

具体描述

The book gives a detailed and rigorous treatment of the theory of optimization (unconstrained optimization, nonlinear programming, semi-infinite programming, etc.) in finite-dimensional spaces. The fundamental results of convexity theory and the theory of duality in nonlinear programming and the theories of linear inequalities, convex polyhedra, and linear programming are covered in detail. Over two hundred, carefully selected exercises should help the students master the material of the book and give further insight. Some of the most basic results are proved in several independent ways in order to give flexibility to the instructor. A separate chapter gives extensive treatments of three of the most basic optimization algorithms (the steepest-descent method, Newton's method, the conjugate-gradient method). The first chapter of the book introduces the necessary differential calculus tools used in the book. Several chapters contain more advanced topics in optimization such as Ekeland's epsilon-variational principle, a deep and detailed study of separation properties of two or more convex sets in general vector spaces, Helly's theorem and its applications to optimization, etc. The book is suitable as a textbook for a first or second course in optimization at the graduate level. It is also suitable for self-study or as a reference book for advanced readers. The book grew out of author's experience in teaching a graduate level one-semester course a dozen times since 1993. Osman Guler is a Professor in the Department of Mathematics and Statistics at University of Maryland, Baltimore County. His research interests include mathematical programming, convex analysis, complexity of optimization problems, and operations research.

《Foundations of Optimization》是一本旨在深入探讨优化理论及其实际应用的专业著作。这本书系统地介绍了从经典到现代优化方法的广泛内容，为读者提供全面且扎实的知识框架。作者将复杂的数学概念通过清晰的逻辑结构和丰富的例子进行阐释，帮助读者建立对优化的全局理解。书中首先详细解析了优化问题的定义、目标函数以及约束条件的基本理论，为后续的具体技术提供坚实基础。在内容安排上，书籍以从基础到高级逐步推进的方式展开，每一章节都注重逻辑的连贯性和系统性。初次阅读时，读者可以清晰掌握优化理论的基本框架，包括梯度下降、拉格朗日乘数法以及多目标优化的概念。而后续章节则深入讨论了高维优化、非线性问题、以及大数据背景下的优化算法应用。书中不仅涵盖传统优化方法，还引入了一些最新的发展方向，如机器学习中的优化技术，展示了理论与实际需求的高度契合。在深入浅出的表述中，作者特别强调了问题建模的重要性以及不同算法在特定情境下的适用性。这一部分内容帮助读者不仅理解优化的原理，还学会如何根据具体应用场景选择和调整合适的技术手段。书中还包括大量实际案例，通过真实的数据集分析，展示了优化方法在商业决策、工程设计以及科学研究中的广泛应用。此外，这本书注重培养读者的批判性思维，不仅教授解决问题的方法，还引导读者进行深入思考和创新。通过系统学习优化理论，读者将能够更好地应对复杂的现实问题，提升自己的专业素养。整个内容设计经过精心打磨，既有理论深度，又兼顾实用性，适合从初学者到高级研究者各层次理解和应用这一重要领域知识。书中的章节布局紧密衔接，使每个概念都能自然延续并递进，为读者构建起一个完整而连贯的知识体系。这种结构不仅有助于知识的吸收与内化，也为后续深入学习或实际应用提供了坚实支撑。无论是学前阶段还是高级研讨，这本书都能以其详细且系统的内容，满足读者的不同需求和兴趣。优化过程中的每一个细节，无不体现对深度与广度的双重追求。这些内容不仅丰富了理论基础，还提供了切实可行的解决方案，使读者能够在面对实际问题时，拥有充足的知识储备和应对策略。总的来说，这本书是一部旨在提升读者专业素质、拓展优化领域见解的重要资源，其细致入微且全面的内容值得广泛参考。