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Methods of Modern Mathematical Physics #1
Methods of Modern Mathematical Physics: Functional Analysis
Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics. This book also analyzes the influence of mathematics on physics, such as the Newtonian mechanics used to interpret all physical phenomena.
Organized into eight chapters, this volume starts with an overview of the functional analysis in the study of several concrete models. This book then discusses how to generalize the Lebesgue integral to work with functions on the real line and with Borel sets. This text also explores the properties of finite-dimensional vector spaces. Other chapters discuss the normed linear spaces, which have the property of being complete. This monograph further examines the general class of topologized vector spaces and the spaces of distributions that arise in a wide variety of physical problems and functional situations.
This book is a valuable resource for mathematicians and physicists. Students and researchers in the field of geometry will also find this book extremely useful.
Organized into eight chapters, this volume starts with an overview of the functional analysis in the study of several concrete models. This book then discusses how to generalize the Lebesgue integral to work with functions on the real line and with Borel sets. This text also explores the properties of finite-dimensional vector spaces. Other chapters discuss the normed linear spaces, which have the property of being complete. This monograph further examines the general class of topologized vector spaces and the spaces of distributions that arise in a wide variety of physical problems and functional situations.
This book is a valuable resource for mathematicians and physicists. Students and researchers in the field of geometry will also find this book extremely useful.
325 pages, Kindle Edition
First published January 1, 1972
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November 12, 2023Aparece como ejemplo la función 1/x renormalizada.
((1/x)_+ renormalized)
Es posible interpretar 1/x como una distribución
((1/x)_+ renormalized)
Es posible interpretar 1/x como una distribución
February 22, 2024
Writing a math book is an art form: Reed and Simon are the Michelangelo of said form.
February 6, 2017
Most theorems are rigorously proved, and although the book becomes more and more biased towards mathematical physics (i.e., methods for proving self-adjointness, analysis of spectra and scattering theory, as stated in the section "Three Mathematical Problems in Quantum Mechanics".
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January 27, 2019Analysis and its applications to quantum physics
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