Applied Functional Analysis azw3 网盘 高速 下载地址大全 免费

The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Front Matter Pages i-xxix Banach Spaces and Fixed-Point Theorems Eberhard Zeidler Pages 1-99 Hilbert Spaces, Orthogonality, and the Dirichlet Principle Eberhard Zeidler Pages 101-193 Hilbert Spaces and Generalized Fourier Series Eberhard Zeidler Pages 195-227 Eigenvalue Problems for Linear Compact Symmetric Operators Eberhard Zeidler Pages 229-252 Self-Adjoint Operators, the Friedrichs Extension, and the Partial Differential Equations of Mathematical Physics Eberhard Zeidler Pages 253-424 Back Matter Pages 425-481

Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany Eberhard Zeidler

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