It takes the average reader 2 hours and 44 minutes to read Topics in Nonlinear Functional Analysis by L. Nirenberg
Assuming a reading speed of 250 words per minute. Learn more
Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. For more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.
Topics in Nonlinear Functional Analysis by L. Nirenberg is 159 pages long, and a total of 41,181 words.
This makes it 54% the length of the average book. It also has 50% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 45 minutes to read Topics in Nonlinear Functional Analysis aloud.
Topics in Nonlinear Functional Analysis is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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