The real and the complex: a history of analysis in the 19th century
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| Sprache: | English |
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[2015]
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| Schriftenreihe: | Springer undergraduate mathematics series
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| Online-Zugang: | DE-634 DE-861 DE-91 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
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Datensatz im Suchindex
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| adam_text | THE REAL AND THE COMPLEX: A HISTORY OF ANALYSIS IN THE 19TH CENTURY
/ GRAY, JEREMY
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
LAGRANGE AND FOUNDATIONS FOR THE CALCULUS
JOSEPH FOURIER
LEGENDRE
CAUCHY AND CONTINUITY
CAUCHY: DIFFERENTIATION AND INTEGRATION
CAUCHY AND COMPLEX FUNCTIONS TO 1830
ABEL
JACOBI
GAUSS
CAUCHY AND COMPLEX FUNCTION THEORY, 1830-1857
COMPLEX FUNCTIONS AND ELLIPTIC INTEGRALS
REVISION
GAUSS, GREEN, AND POTENTIAL THEORY
DIRICHLET, POTENTIAL THEORY, AND FOURIER SERIES
RIEMANN
RIEMANN AND COMPLEX FUNCTION THEORY
RIEMANN S LATER COMPLEX FUNCTION THEORY
RESPONSES TO RIEMANN S WORK
WEIERSTRASS
WEIERSTRASS S FOUNDATIONAL RESULTS
REVISION { AND ASSESSMENT
UNIFORM CONVERGENCE
INTEGRATION AND TRIGONOMETRIC SERIES
THE FUNDAMENTAL THEOREM OF THE CALCULUS
THE CONSTRUCTION OF THE REAL NUMBERS
IMPLICIT FUNCTIONS
TOWARDS LEBESGUE S THEORY OF INTEGRATION
CANTOR, SET THEORY, AND FOUNDATIONS
TOPOLOGY
ASSESSMENT
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE REAL AND THE COMPLEX: A HISTORY OF ANALYSIS IN THE 19TH CENTURY
/ GRAY, JEREMY
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK CONTAINS A HISTORY OF REAL AND COMPLEX ANALYSIS IN THE
NINETEENTH CENTURY, FROM THE WORK OF LAGRANGE AND FOURIER TO THE ORIGINS
OF SET THEORY AND THE MODERN FOUNDATIONS OF ANALYSIS. IT STUDIES THE
WORKS OF MANY CONTRIBUTORS INCLUDING GAUSS, CAUCHY, RIEMANN, AND
WEIERSTRASS. THIS BOOK IS UNIQUE OWING TO THE TREATMENT OF REAL AND
COMPLEX ANALYSIS AS OVERLAPPING, INTER-RELATED SUBJECTS, IN KEEPING WITH
HOW THEY WERE SEEN AT THE TIME. IT IS SUITABLE AS A COURSE IN THE
HISTORY OF MATHEMATICS FOR STUDENTS WHO HAVE STUDIED AN INTRODUCTORY
COURSE IN ANALYSIS, AND WILL ENRICH ANY COURSE IN UNDERGRADUATE REAL OR
COMPLEX ANALYSIS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Gray, Jeremy J. 1947- |
| author_GND | (DE-588)122175549 |
| author_facet | Gray, Jeremy J. 1947- |
| author_role | aut |
| author_sort | Gray, Jeremy J. 1947- |
| author_variant | j j g jj jjg |
| building | Verbundindex |
| bvnumber | BV043209750 |
| classification_rvk | SK 400 SK 700 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)930003988 (DE-599)BVBBV043209750 |
| dewey-full | 515.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.9 |
| dewey-search | 515.9 |
| dewey-sort | 3515.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-23715-2 |
| format | Electronic eBook |
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| id | DE-604.BV043209750 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T17:41:49Z |
| institution | BVB |
| isbn | 9783319237152 |
| issn | 1615-2085 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632911 |
| oclc_num | 930003988 |
| open_access_boolean | |
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| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
| physical | 1 Online Ressource (XVI, 350 Seiten, 71 illus) |
| psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer undergraduate mathematics series |
| spellingShingle | Gray, Jeremy J. 1947- The real and the complex: a history of analysis in the 19th century Mathematics Functions of complex variables Functions of real variables History Functions of a Complex Variable Real Functions History of Mathematical Sciences Geschichte Mathematik |
| title | The real and the complex: a history of analysis in the 19th century |
| title_auth | The real and the complex: a history of analysis in the 19th century |
| title_exact_search | The real and the complex: a history of analysis in the 19th century |
| title_full | The real and the complex: a history of analysis in the 19th century Jeremy Gray |
| title_fullStr | The real and the complex: a history of analysis in the 19th century Jeremy Gray |
| title_full_unstemmed | The real and the complex: a history of analysis in the 19th century Jeremy Gray |
| title_short | The real and the complex: a history of analysis in the 19th century |
| title_sort | the real and the complex a history of analysis in the 19th century |
| topic | Mathematics Functions of complex variables Functions of real variables History Functions of a Complex Variable Real Functions History of Mathematical Sciences Geschichte Mathematik |
| topic_facet | Mathematics Functions of complex variables Functions of real variables History Functions of a Complex Variable Real Functions History of Mathematical Sciences Geschichte Mathematik |
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