Essential Mathematics for Applied Fields:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1979
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Schriftenreihe: | Universitext
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | 1. Purpose The purpose of this work is to provide, in one volume, a wide spectrum of essential (non-measure theoretic) Mathematics for use by workers in the variety of applied fields. To obtain the background developed here in one volume would require studying a prohibitive number of separate Mathematics courses (assuming they were available). Before, much of the material now covered was (a) unavailable, (b) too widely scattered, or (c) too advanced as presented, to be of use to those who need it. Here, we present a sound basis requiring only Calculus through however, Differential Equations. It provides the needed flexibility to cope, in a rigorous manner, with the every-day, non-standard and new situations that present themselves. There is no substitute for this. 2. Arrangement The volume consists of twenty Sections, falling into several natural units: Basic Real Analysis 1. Sets, Sequences, Series, and Functions 2. Doubly Infinite Sequences and Series 3. Sequences and Series of Functions 4. Real Power Series 5. Behavior of a Function Near a Point: Various Types of Limits 6. Orders of Magnitude: the D, 0, ~ Notation 7. Some Abelian and Tauberian Theorems v Riemann-Stieltjes Integration 8. I-Dimensional Cumulative Distribution Functions and Bounded Variation Functions 9. I-Dimensional Riemann-Stieltjes Integral 10. n-Dimensional Cumulative Distribution Functions and Bounded Variation Functions 11. n-Dimensional Riemann-Stieltjes Integral The Finite Calculus 12. Finite Differences and Difference Equations Basic Complex Analysis 13. Complex Variables Applied Linear Algebra 14. Matrices and Determinants 15 |
Beschreibung: | 1 Online-Ressource (55p) |
ISBN: | 9781461380726 9780387904504 |
ISSN: | 0172-5939 |
DOI: | 10.1007/978-1-4613-8072-6 |
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Datensatz im Suchindex
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dewey-search | 510 |
dewey-sort | 3510 |
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discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4613-8072-6 |
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spelling | Meyer, Richard M. Verfasser aut Essential Mathematics for Applied Fields by Richard M. Meyer New York, NY Springer New York 1979 1 Online-Ressource (55p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 1. Purpose The purpose of this work is to provide, in one volume, a wide spectrum of essential (non-measure theoretic) Mathematics for use by workers in the variety of applied fields. To obtain the background developed here in one volume would require studying a prohibitive number of separate Mathematics courses (assuming they were available). Before, much of the material now covered was (a) unavailable, (b) too widely scattered, or (c) too advanced as presented, to be of use to those who need it. Here, we present a sound basis requiring only Calculus through however, Differential Equations. It provides the needed flexibility to cope, in a rigorous manner, with the every-day, non-standard and new situations that present themselves. There is no substitute for this. 2. Arrangement The volume consists of twenty Sections, falling into several natural units: Basic Real Analysis 1. Sets, Sequences, Series, and Functions 2. Doubly Infinite Sequences and Series 3. Sequences and Series of Functions 4. Real Power Series 5. Behavior of a Function Near a Point: Various Types of Limits 6. Orders of Magnitude: the D, 0, ~ Notation 7. Some Abelian and Tauberian Theorems v Riemann-Stieltjes Integration 8. I-Dimensional Cumulative Distribution Functions and Bounded Variation Functions 9. I-Dimensional Riemann-Stieltjes Integral 10. n-Dimensional Cumulative Distribution Functions and Bounded Variation Functions 11. n-Dimensional Riemann-Stieltjes Integral The Finite Calculus 12. Finite Differences and Difference Equations Basic Complex Analysis 13. Complex Variables Applied Linear Algebra 14. Matrices and Determinants 15 Mathematics Mathematics, general Mathematik Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s 1\p DE-604 https://doi.org/10.1007/978-1-4613-8072-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Meyer, Richard M. Essential Mathematics for Applied Fields Mathematics Mathematics, general Mathematik Mathematik (DE-588)4037944-9 gnd |
subject_GND | (DE-588)4037944-9 |
title | Essential Mathematics for Applied Fields |
title_auth | Essential Mathematics for Applied Fields |
title_exact_search | Essential Mathematics for Applied Fields |
title_full | Essential Mathematics for Applied Fields by Richard M. Meyer |
title_fullStr | Essential Mathematics for Applied Fields by Richard M. Meyer |
title_full_unstemmed | Essential Mathematics for Applied Fields by Richard M. Meyer |
title_short | Essential Mathematics for Applied Fields |
title_sort | essential mathematics for applied fields |
topic | Mathematics Mathematics, general Mathematik Mathematik (DE-588)4037944-9 gnd |
topic_facet | Mathematics Mathematics, general Mathematik |
url | https://doi.org/10.1007/978-1-4613-8072-6 |
work_keys_str_mv | AT meyerrichardm essentialmathematicsforappliedfields |