Infinite Dimensional Analysis: A Hitchhiker’s Guide
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1999
|
| Edition: | Second, Completely Revised and Enlarged Edition |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | In the nearly five years since the publication of what we refer to as The Hitchhiker's Guide, we have been the recipients of much advice and many complaints. That, combined with the economics of the publishing industry, convinced us that the world would be a better place if we published a second edition of our book, and made it available in paperback at a more modest price. The most obvious difference between the second and the original edition is the reorganization of material that resulted in three new chapters. Chap ter 4 collects many of the purely set-theoretical results about measurable structures such as semirings and a-algebras. The material in this chapter is quite independent from notions of measure and integration, and is easily ac cessible, so we thought it should come sooner. We also divided the chapter on correspondences into two separate chapters, one dealing with continuity, the other with measurability. The material on measurable correspondences is more detailed and, we hope, better written. We also put many of the representation theorems into their own Chapter 13. This arrangement has the side effect of forcing the renumbering of almost every result in the text, thus rendering the original version obsolete. We feel bad about that, but like Humpty Dumpty, we doubt we could put it back the way it was. The second most noticeable change is the addition of approximately seventy pages of new material |
| Physical Description: | 1 Online-Ressource (XX, 673 p) |
| ISBN: | 9783662039618 9783540658542 |
| DOI: | 10.1007/978-3-662-03961-8 |
Staff View
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| 500 | |a In the nearly five years since the publication of what we refer to as The Hitchhiker's Guide, we have been the recipients of much advice and many complaints. That, combined with the economics of the publishing industry, convinced us that the world would be a better place if we published a second edition of our book, and made it available in paperback at a more modest price. The most obvious difference between the second and the original edition is the reorganization of material that resulted in three new chapters. Chap ter 4 collects many of the purely set-theoretical results about measurable structures such as semirings and a-algebras. The material in this chapter is quite independent from notions of measure and integration, and is easily ac cessible, so we thought it should come sooner. We also divided the chapter on correspondences into two separate chapters, one dealing with continuity, the other with measurability. The material on measurable correspondences is more detailed and, we hope, better written. We also put many of the representation theorems into their own Chapter 13. This arrangement has the side effect of forcing the renumbering of almost every result in the text, thus rendering the original version obsolete. We feel bad about that, but like Humpty Dumpty, we doubt we could put it back the way it was. The second most noticeable change is the addition of approximately seventy pages of new material | ||
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Record in the Search Index
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| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-03961-8 |
| edition | Second, Completely Revised and Enlarged Edition |
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| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662039618 9783540658542 |
| language | English |
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| spelling | Aliprantis, Charalambos D. Verfasser aut Infinite Dimensional Analysis A Hitchhiker’s Guide by Charalambos D. Aliprantis, Kim C. Border Second, Completely Revised and Enlarged Edition Berlin, Heidelberg Springer Berlin Heidelberg 1999 1 Online-Ressource (XX, 673 p) txt rdacontent c rdamedia cr rdacarrier In the nearly five years since the publication of what we refer to as The Hitchhiker's Guide, we have been the recipients of much advice and many complaints. That, combined with the economics of the publishing industry, convinced us that the world would be a better place if we published a second edition of our book, and made it available in paperback at a more modest price. The most obvious difference between the second and the original edition is the reorganization of material that resulted in three new chapters. Chap ter 4 collects many of the purely set-theoretical results about measurable structures such as semirings and a-algebras. The material in this chapter is quite independent from notions of measure and integration, and is easily ac cessible, so we thought it should come sooner. We also divided the chapter on correspondences into two separate chapters, one dealing with continuity, the other with measurability. The material on measurable correspondences is more detailed and, we hope, better written. We also put many of the representation theorems into their own Chapter 13. This arrangement has the side effect of forcing the renumbering of almost every result in the text, thus rendering the original version obsolete. We feel bad about that, but like Humpty Dumpty, we doubt we could put it back the way it was. The second most noticeable change is the addition of approximately seventy pages of new material Mathematics Global analysis (Mathematics) Functional analysis Engineering mathematics Economics Economics, Mathematical Functional Analysis Economic Theory Applications of Mathematics Game Theory/Mathematical Methods Analysis Appl.Mathematics/Computational Methods of Engineering Mathematik Wirtschaft Unendlichdimensionaler Raum (DE-588)4207852-0 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s Unendlichdimensionaler Raum (DE-588)4207852-0 s Wirtschaftsmathematik (DE-588)4066472-7 s 1\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 2\p DE-604 Border, Kim C. Sonstige oth https://doi.org/10.1007/978-3-662-03961-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aliprantis, Charalambos D. Infinite Dimensional Analysis A Hitchhiker’s Guide Mathematics Global analysis (Mathematics) Functional analysis Engineering mathematics Economics Economics, Mathematical Functional Analysis Economic Theory Applications of Mathematics Game Theory/Mathematical Methods Analysis Appl.Mathematics/Computational Methods of Engineering Mathematik Wirtschaft Unendlichdimensionaler Raum (DE-588)4207852-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4207852-0 (DE-588)4018916-8 (DE-588)4066472-7 (DE-588)4001865-9 |
| title | Infinite Dimensional Analysis A Hitchhiker’s Guide |
| title_auth | Infinite Dimensional Analysis A Hitchhiker’s Guide |
| title_exact_search | Infinite Dimensional Analysis A Hitchhiker’s Guide |
| title_full | Infinite Dimensional Analysis A Hitchhiker’s Guide by Charalambos D. Aliprantis, Kim C. Border |
| title_fullStr | Infinite Dimensional Analysis A Hitchhiker’s Guide by Charalambos D. Aliprantis, Kim C. Border |
| title_full_unstemmed | Infinite Dimensional Analysis A Hitchhiker’s Guide by Charalambos D. Aliprantis, Kim C. Border |
| title_short | Infinite Dimensional Analysis |
| title_sort | infinite dimensional analysis a hitchhiker s guide |
| title_sub | A Hitchhiker’s Guide |
| topic | Mathematics Global analysis (Mathematics) Functional analysis Engineering mathematics Economics Economics, Mathematical Functional Analysis Economic Theory Applications of Mathematics Game Theory/Mathematical Methods Analysis Appl.Mathematics/Computational Methods of Engineering Mathematik Wirtschaft Unendlichdimensionaler Raum (DE-588)4207852-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Functional analysis Engineering mathematics Economics Economics, Mathematical Functional Analysis Economic Theory Applications of Mathematics Game Theory/Mathematical Methods Analysis Appl.Mathematics/Computational Methods of Engineering Mathematik Wirtschaft Unendlichdimensionaler Raum Funktionalanalysis Wirtschaftsmathematik |
| url | https://doi.org/10.1007/978-3-662-03961-8 |
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