Kindly note that we have put a lot of effort into researching the best books on Nonlinear Functional Analysis subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Nonlinear Functional Analysis" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.
|1. “Nonlinear Functional Analysis: A First Course (Texts and Readings in Mathematics)” by S Kesavan|
|2. “An Introduction to Nonlinear Functional Analysis and Elliptic Problems (Progress in Nonlinear Differential Equations and Their Applications)” by Antonio Ambrosetti and David Arcoya Álvarez
“An Introduction to Nonlinear Functional Analysis and Elliptic Problems (Progress in Nonlinear Differential Equations and Their Applications)” Book Review: This book presents the basic, abstract tools used in nonlinear analysis. It also discusses their applications to semilinear elliptic boundary value problems. This book provides information on how various approaches can easily be applied to a range of model cases. It includes further results on weak derivatives. This book also avails chapter-end exercises. It serves as a practical text for an introductory course or seminar on nonlinear functional analysis.
|3. “Linear and Nonlinear Functional Analysis with Applications” by Philippe G Ciarlet
“Linear and Nonlinear Functional Analysis with Applications” Book Review: This book provides a thorough and complete introduction to the basic aspects of linear and nonlinear functional analysis. It presents complete proofs, and illustrations with various applications to numerical analysis. It also includes optimisation theory, and partial differential equations. This book covers a large amount of foundational material, historical notes. It also provides several original references to help us explore the genesis of some important results. This book serves the advanced undergraduates, graduate students, and researchers.
| 4. “Nonlinear Functional Analysis and Its Applications (Nato Science Series C:)” by S P Singh
“Nonlinear Functional Analysis and Its Applications (Nato Science Series C:)” Book Review: This book provides the proceedings of the institute. These proceedings contain lectures and contributed papers given during the Institute. These lectures focus on bringing together recent and up-to-date development of the subject. These also give directions for future research. This book covers degree and generalized degree theory, results related to Hamiltonian Systems. It also presents Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations. It also includes Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory. This book covers Hamiltonian Systems, Minimax Theory, Heat Equations, Pendulum Equation, Nonlinear Boundary Value Problems.
| 5. “Nonlinear Functional Analysis” by Klaus Deimling
“Nonlinear Functional Analysis” Book Review: This book provides extensive commentary. It presents several examples along with plenty of interesting, challenging exercises. This book covers the development of the Brower degree and its applications. It moves to examinations of degree mappings for infinite dimensional spaces and surveys. These surveys are of monotone and accretive mappings. This book also explores the inverse function theory, implicit function theory, and Newton’s methods.
|6. “Nonlinear Functional Analysis (American Mathematics Society non-series title)” by Rajendra Akerkar|
|7. “Nonlinear Functional Analysis: 121 (Lecture Notes in Pure and Applied Mathematics)” by P S Milojevic|
|8. “Real and Functional Analysis: Part B Functional Analysis (Mathematical Concepts and Methods in Science and Engineering)” by imusti|
| 9. “Spectral Theory and Nonlinear Functional Analysis” by Julian Lopez-Gomez
“Spectral Theory and Nonlinear Functional Analysis” Book Review: This book provides several pivotal problems in spectral theory. It presents nonlinear functional analysis. These are provided in connection with the analysis of the structure of the set of zeroes of a general class of nonlinear operators. This book covers the construction of an optimal algebraic/analytic invariant. This is used for calculating the Leray-Schauder degree. It discusses new methods for solving nonlinear equations in Banach spaces. This book covers general properties of components of solutions sets presented with minimal use of topological tools.
| 10. “Delay Equations: Functional-, Complex-, and Nonlinear Analysis (Applied Mathematical Sciences)” by Odo Diekmann and Hans-Otto Walther
“Delay Equations: Functional-, Complex-, and Nonlinear Analysis (Applied Mathematical Sciences)” Book Review: This book provides an introduction to the mathematical theory of infinite dimensional dynamical systems. This is done by focusing on a nearly simple – yet rich – class of examples, delay differential equations. It presents detailed proofs and many exercises. These are intended both for self-study and for courses at graduate level. This book can also be used as a reference for basic results. This book provides the working knowledge of applied functional analysis and dynamical systems.
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