Nonlinear Functional Analysis and Its Applications I: Fixed-Point Theorems

The Fourth Of A Five-volume Exposition Of The Main Principles Of Nonlinear Functional Analysis And Its Applications To The Natural Sciences, Economics, And Numerical Analysis. The Presentation Is Self-contained And Accessible To The Non-specialist, And Topics Covered Include Applications To Mechanics, Elasticity, Plasticity, Hydrodynamics, Thermodynamics, Statistical Physics, And Special And General Relativity Including Cosmology. The Book Contains A Detailed Physical Motivation Of The Relevant Basic Equations And A Discussion Of Particular Problems Which Have Played A Significant Role In The Development Of Physics And Through Which Important Mathematical And Physical Insight May Be Gained. It Combines Classical And Modern Ideas To Build A Bridge Between The Language And Thoughts Of Physicists And Mathematicians. Many Exercises And A Comprehensive Bibliography Complement The Text.