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Titlebook: A Topological Introduction to Nonlinear Analysis; Robert F. Brown Textbook 2014Latest edition The Editor(s) (if applicable) and The Author

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发表于 2025-3-21 19:53:44 | 显示全部楼层 |阅读模式
期刊全称A Topological Introduction to Nonlinear Analysis
影响因子2023Robert F. Brown
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发行地址3rd Edition provides new content and expanded coverage of key topics.New section discusses the fixed point index and its many applications.Concise presentation and clear exposition make it an ideal re
图书封面Titlebook: A Topological Introduction to Nonlinear Analysis;  Robert F. Brown Textbook 2014Latest edition The Editor(s) (if applicable) and The Author
影响因子This third edition is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully-expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world. Included in this new edition are several new chapters that present the fixed point index and its applications. The exposition and mathematical content is improved throughout. This book is ideal for self-study for mathematicians and students interested in such areas of geometric and algebraic topology, functional analysis, differential equations, and applied mathematics. It is a sharply focused and highly readable view of nonlinear analysis by a practicing topologist who has seen a clear path to understanding. "For the topology-minded reader, the book indeed has a lot to offer:  written in a very
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Fekade B. Sime,Jason A. Robertshap. 1, to prove the Cauchy–Peano theorem by topological methods. In this chapter, we will illustrate the use of these tools by showing how they establish the existence of solutions to a differential equation problem that comes up in the study of the pendulum.
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Textbook 2014Latest editionth a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully-expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book wil
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Jodi A. Lindsay,Julia M.-L. Sungved. The goal of the chemical engineer is to have the reactor operate in a stable manner to produce the output and to do it as economically as possible. There are several types of chemical reactors, but we will be concerned with just one type, called an ..
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Methods in Pharmacology and Toxicologyns of limits in calculus, analysis makes extensive use of topological ideas and techniques. Thus the issue is not whether analysis requires topology, but rather how central a role the topological material plays. Rather than attempt the hopeless task of defining precisely what I mean by the topologic
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