Applied Functional Analysis: Main Principles and Their Applications
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1995
|
Schriftenreihe: | Applied Mathematical Sciences
109 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | A theory is the more impressive, the simpler are its premises, the more distinct are the things it connects, and the broader is its range of applicability. Albert Einstein There are two different ways of teaching mathematics, namely, (i) the systematic way, and (ii) the application-oriented way. More precisely, by (i), I mean a systematic presentation of the material governed by the desire for mathematical perfection and completeness of the results. In contrast to (i), approach (ii) starts out from the question "What are the most important applications?" and then tries to answer this question as quickly as possible. Here, one walks directly on the main road and does not wander into all the nice and interesting side roads. The present book is based on the second approach. It is addressed to undergraduate and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems that are related to our real world and that have played an important role in the history of mathematics. The reader should sense that the theory is being developed, not simply for its own sake, but for the effective solution of concrete problems. viii Preface Our introduction to applied functional analysis is divided into two parts: Part I: Applications to Mathematical Physics (AMS Vol. 108); Part II: Main Principles and Their Applications (AMS Vol. 109). A detailed discussion of the contents can be found in the preface to AMS Vol. 108 |
Beschreibung: | 1 Online-Ressource (XVI, 406 p) |
ISBN: | 9781461208211 9781461269137 |
ISSN: | 0066-5452 |
DOI: | 10.1007/978-1-4612-0821-1 |
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institution | BVB |
isbn | 9781461208211 9781461269137 |
issn | 0066-5452 |
language | English |
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spelling | Zeidler, Eberhard 1940-2016 Verfasser (DE-588)121295869 aut Applied Functional Analysis Main Principles and Their Applications by Eberhard Zeidler New York, NY Springer New York 1995 1 Online-Ressource (XVI, 406 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 109 0066-5452 A theory is the more impressive, the simpler are its premises, the more distinct are the things it connects, and the broader is its range of applicability. Albert Einstein There are two different ways of teaching mathematics, namely, (i) the systematic way, and (ii) the application-oriented way. More precisely, by (i), I mean a systematic presentation of the material governed by the desire for mathematical perfection and completeness of the results. In contrast to (i), approach (ii) starts out from the question "What are the most important applications?" and then tries to answer this question as quickly as possible. Here, one walks directly on the main road and does not wander into all the nice and interesting side roads. The present book is based on the second approach. It is addressed to undergraduate and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems that are related to our real world and that have played an important role in the history of mathematics. The reader should sense that the theory is being developed, not simply for its own sake, but for the effective solution of concrete problems. viii Preface Our introduction to applied functional analysis is divided into two parts: Part I: Applications to Mathematical Physics (AMS Vol. 108); Part II: Main Principles and Their Applications (AMS Vol. 109). A detailed discussion of the contents can be found in the preface to AMS Vol. 108 Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-0821-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Zeidler, Eberhard 1940-2016 Applied Functional Analysis Main Principles and Their Applications Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Funktionalanalysis (DE-588)4018916-8 gnd |
subject_GND | (DE-588)4018916-8 |
title | Applied Functional Analysis Main Principles and Their Applications |
title_auth | Applied Functional Analysis Main Principles and Their Applications |
title_exact_search | Applied Functional Analysis Main Principles and Their Applications |
title_full | Applied Functional Analysis Main Principles and Their Applications by Eberhard Zeidler |
title_fullStr | Applied Functional Analysis Main Principles and Their Applications by Eberhard Zeidler |
title_full_unstemmed | Applied Functional Analysis Main Principles and Their Applications by Eberhard Zeidler |
title_short | Applied Functional Analysis |
title_sort | applied functional analysis main principles and their applications |
title_sub | Main Principles and Their Applications |
topic | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Funktionalanalysis (DE-588)4018916-8 gnd |
topic_facet | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Funktionalanalysis |
url | https://doi.org/10.1007/978-1-4612-0821-1 |
work_keys_str_mv | AT zeidlereberhard appliedfunctionalanalysismainprinciplesandtheirapplications |