1080:(1916-01-01). "(1) A Course of Pure Mathematics. By G. H. Hardy. Cambridge University Press, 1908. Pp. xvi, 428. Cloth, 12s. net. (2) A Course of Pure Mathematics. By G. H. Hardy. Second edition. Cambridge University Press, 1914. Pp. xii, 443. Cloth, 12s. net. (3) A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions. By E. T. Whittaker. Cambridge University Press, 1902. Pp. xvi, 378. Cloth, 12s. 6d. net. (4) A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions. Second edition, completely revised. By E. T. Whittaker and G. N. Watson. Cambridge University Press, 1915. Pp. viii, 560. Cloth, 18s. net". VI. Critical Notices.
40:
104:
1414:
Schubert, A. (1963). "E. T. Whittaker and G. N. Watson, A Course of Modern
Analysis. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions. Fourth Edition. 608 S. Cambridge 1962. Cambridge University Press.
439:
notes that while the book falls short of the "rigor" of French, German, and
Italian writers, it is a "gratifying sign of progress to find in an English book such an attempt at rigorous treatment as is here made". He notes that important parts of the book were otherwise non-existent in the English
426:, and others in their respective studies of "practice problems". He goes on to say it "is a useful book for those who wish to make use of the most advanced developments of mathematical analysis in theoretical investigations of physical and chemical questions."
39:
1300:Φ (1916). "Review of A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions. Second edition, completely revised".
1453:
148:
Its first, second, third, and the fourth edition were published in 1902, 1915, 1920, and 1927, respectively. Since then, it has continuously been reprinted and is still in print today. A revised, expanded and
333:
opens by saying the book is "sure of a favorable reception" because of its "attractive account of some of the most valuable and interesting results of recent analysis". He notes that Part I deals mainly with
1332:"Review of A Course of Modern Analysis. An Introduction to the General Theory of Infinite Processes and of Analytical Functions, with an Account of the Principal Transcendental Functions. Second Edition".
188:
noted that
Delsarte always had a copy on his desk. In 1941, the book was included among a "selected list" of mathematical analysis books for use in universities in an article for that purpose published by
1366:"Review of A Course of Modern Analysis: An introduction to the General Theory of Infinite Processes and of Analytical Functions; With an Account of the Principal Transcendental Functions".
1249:"Review of A Course of Modern Analysis. An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions"
1598:"A Course of Modern Analysis: an Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions"
1536:"A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions"
1809:
1801:
1793:
778:
629:
A Course Of Modern
Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions
592:
A Course Of Modern
Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions
557:
A Course Of Modern
Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions
521:
A Course Of Modern
Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions
1837:
1947:
1785:
485:
435:
1644:"Table errata: A course of modern analysis [fourth edition, Cambridge Univ. Press, Cambridge, 1927; Jbuch 53, 180] by E. T. Whittaker and G. N. Watson"
1842:
1974:
1713:
1728:
1038:
386:
856:
813:
695:
650:
944:
822:
764:
865:
1847:
843:
800:
1994:
1893:
1253:
888:
713:
640:
742:
774:
1969:
1768:
398:
are "considered in all their phases" along with "all those important series and functions" developed by mathematicians such as
1984:
1979:
209:
1706:
1657:
202:
190:
150:
115:: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal
103:
160:
The book is notable for being the standard reference and textbook for a generation of
Cambridge mathematicians including
1941:
1725:
1722:
1794:
A History of the
Theories of Aether and Electricity, from the age of Descartes to the Close of the Nineteenth Century
1648:
847:
804:
748:
679:
449:
351:
137:
85:
1989:
1914:
1699:
1458:
1368:
1202:
1125:
1029:
974:
381:
329:
1341:
1175:
730:
665:
632:
620:
595:
583:
560:
548:
525:
515:
161:
116:
1454:"Modern Analysis. By E. T. Whittaker and G. N. Watson Pp. 608. 27s. 6d. 1962. (Cambridge University Press)"
965:
861:
818:
324:
177:
1417:
ZAMM - Journal of
Applied Mathematics and Mechanics / Zeitschrift fĂĽr Angewandte Mathematik und Mechanik
734:
669:
624:
587:
552:
411:
407:
363:
125:
719:
1888:
1753:
1611:
1549:
1498:
1424:
419:
415:
375:
1163:
1120:
347:
173:
140:
in 1902. The first edition was Whittaker's alone, but later editions were co-authored with Watson.
129:
53:
1643:
808:
1898:
1878:
1827:
1758:
1679:
1583:
1522:
1401:
1393:
1353:
1319:
1288:
1235:
1227:
1187:
1150:
1107:
1007:
999:
913:
359:
169:
1570:
1275:
851:
1691:
936:
246:
The fundamental properties of Analytic Functions; Taylor's, Laurent's, and Liouville's Theorems
1883:
1868:
1671:
1629:
1575:
1514:
1475:
1440:
1385:
1345:
1311:
1280:
1219:
1179:
1142:
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1055:
991:
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529:
423:
371:
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367:
165:
133:
57:
932:
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1077:
395:
335:
1615:
1553:
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1428:
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399:
355:
213:
154:
1666:
17:
1963:
1922:
1535:
1248:
1011:
185:
181:
1810:
A History of the Theories of Aether and Electricity, the Modern Theories (1900-1926)
1587:
1405:
499:
476:
1526:
1239:
901:
339:
673:
519:
1743:
655:(vi+608 pages) (reprinted: 1935, 1940, 1946, 1950, 1952, 1958, 1962, 1963, 1992)
172:
studied it as preparation for her final honours on the advice of fellow student
75:
1471:
1302:
603:
533:
1675:
1633:
1579:
1518:
1479:
1444:
1436:
1389:
1349:
1315:
1284:
1223:
1183:
1146:
1103:
1095:
1059:
995:
909:
705:
687:
568:
1748:
249:
The Theory of Residues; application to the evaluation of Definite Integrals
756:
1863:
1802:
A History of the Theories of Aether and Electricity, the Classic Theories
678:. Cambridge Mathematical Library (4th reissued ed.). Cambridge, UK:
1357:
1323:
1191:
1051:
1683:
1397:
1292:
1231:
1154:
1111:
1003:
917:
1624:
1597:
1561:
1510:
300:
Elliptic Functions. General theorems and the Weierstrassian Functions
201:
Some idiosyncratic but interesting problems from an older era of the
1381:
1266:
1215:
1138:
1033:
987:
969:
102:
180:. But its reach was much further than just the Cambridge school;
1166:(1921). "Review of A Course of Modern Analysis. Third Edition".
1695:
44:
Cover of a 1996 reissue of the fourth edition of the book.
615:
613:
1838:
Whittaker–Nyquist–Kotelnikov–Shannon sampling theorem
1168:
Science Progress in the Twentieth Century (1919-1933)
886:"A Selected List of Mathematics Books for Colleges".
941:
E. Kowalski's blog - Comments on mathematics, mostly
1934:
1907:
1856:
1820:
1767:
1736:
91:
81:
71:
63:
49:
1786:Analytical Dynamics of Particles and Rigid Bodies
1123:(1921). "Review of A Course of Modern Analysis".
1024:
1022:
224:Below are the contents of the fourth edition:
1707:
486:Bulletin of the American Mathematical Society
467:
465:
436:Bulletin of the American Mathematical Society
252:The expansion of functions in Infinite Series
107:Title page for the third edition of the book.
8:
354:. Part II, in contrast, has chapters on the
240:Continuous Functions and Uniform Convergence
184:in his obituary of the French mathematician
32:
1714:
1700:
1692:
384:, in another 1903 review published in the
38:
31:
1665:
1623:
1569:
1274:
1200:"Review of A Course of Modern Analysis".
498:
309:Ellipsoidal Harmonics and Lamé's Equation
258:Fourier Series and Trigonometrical Series
255:Asymptotic Expansions and Summable Series
212:, an innovation the authors attribute to
1039:Journal of the American Chemical Society
429:In a third review of the first edition,
387:Journal of the American Chemical Society
327:, in a 1903 review article published in
208:The book was one of the earliest to use
1843:Whittaker–Shannon interpolation formula
970:"Review of A Course of Modern Analysis"
747:(5th revised ed.). Cambridge, UK:
461:
390:, notes that the book centers around
1942:Lorentz-Poincaré-Einstein controversy
294:The Equations of Mathematical Physics
288:The Confluent Hypergeometric Function
270:Part II. The Transcendental Functions
7:
718:(reprinted: 1999, 2000, 2002, 2010)
433:, in a 1904 review published in the
176:, later Professor of Mathematics at
1848:Sir Edmund Whittaker Memorial Prize
1948:Fictitious Problems in Mathematics
1894:Confluent hypergeometric functions
346:while including the "elements of"
210:decimal numbering for its sections
25:
1667:10.1090/S0025-5718-1981-0595076-1
1254:The American Mathematical Monthly
889:The American Mathematical Monthly
243:The Theory of Riemann Integration
27:Textbook in mathematical analysis
1975:Cambridge University Press books
852:"Jean Frédéric Auguste Delsarte"
1487:"A Course of Modern Analysis".
947:from the original on 2021-02-25
868:from the original on 2021-03-21
825:from the original on 2021-03-21
781:from the original on 2021-08-10
631:(4th ed.). Cambridge, UK:
594:(3rd ed.). Cambridge, UK:
559:(2nd ed.). Cambridge, UK:
524:(1st ed.). Cambridge, UK:
500:10.1090/s0002-9904-1904-01123-4
306:The Jacobian Elliptic Functions
228:Part I. The Process of Analysis
1571:2027/coo1.ark:/13960/t17m0tq6p
1276:2027/coo1.ark:/13960/t17m0tq6p
902:10.1080/00029890.1941.11991146
1:
1658:American Mathematical Society
1497:(2432): 298–299. 1916-06-08.
1034:"A Course in Modern Analysis"
261:Linear Differential Equations
203:Cambridge Mathematical Tripos
191:American Mathematical Monthly
1334:Science Progress (1916–1919)
320:Reviews of the first edition
279:The Zeta Function of Riemann
124:) is a landmark textbook on
33:A Course of Modern Analysis
1778:A Course of Modern Analysis
1723:Sir Edmund Taylor Whittaker
1596:M.-T., L. M. (1928-03-17).
848:Robertson, Edmund Frederick
809:"Dame Mary Lucy Cartwright"
805:Robertson, Edmund Frederick
744:A Course of Modern Analysis
675:A Course of Modern Analysis
479:A Course of Modern Analysis
282:The Hypergeometric Function
113:A Course of Modern Analysis
2011:
1649:Mathematics of Computation
1466:(359): 88. February 1963.
749:Cambridge University Press
680:Cambridge University Press
450:Bateman Manuscript Project
394:, but that topics such as
138:Cambridge University Press
86:Cambridge University Press
1915:John Macnaghten Whittaker
1548:(2669): 531. 1920-12-23.
1472:10.1017/S0025557200049032
1415:Preis brosch. 27/6 net".
1030:Hathaway, Arthur Stafford
237:The Theory of Convergence
157:, was published in 2021.
153:fifth edition, edited by
37:
1995:Books by E. T. Whittaker
1459:The Mathematical Gazette
1437:10.1002/zamm.19630430916
1369:The Mathematical Gazette
1203:The Mathematical Gazette
1126:The Mathematical Gazette
975:The Mathematical Gazette
731:Whittaker, Edmund Taylor
688:10.1017/cbo9780511608759
666:Whittaker, Edmund Taylor
621:Whittaker, Edmund Taylor
584:Whittaker, Edmund Taylor
549:Whittaker, Edmund Taylor
516:Whittaker, Edmund Taylor
330:The Mathematical Gazette
274:
117:transcendental functions
1342:Sage Publications, Inc.
1176:Sage Publications, Inc.
966:Mathews, George Ballard
633:at the University Press
596:at the University Press
561:at the University Press
526:at the University Press
120:(colloquially known as
1970:1902 non-fiction books
1908:Notable family members
1642:Stuart, S. N. (1981).
1376:(124): 306–307. 1916.
1096:10.1093/mind/XXV.4.525
1078:Jourdain, Philip E. B.
862:St. Andrews University
819:St. Andrews University
735:Watson, George Neville
670:Watson, George Neville
625:Watson, George Neville
588:Watson, George Neville
553:Watson, George Neville
205:are in the exercises.
178:Aberystwyth University
108:
18:Whittaker & Watson
1985:Mathematical analysis
1980:Mathematics textbooks
1889:Automorphic functions
757:10.1017/9781009004091
481:, by E. T. Whittaker"
412:Adrien-Marie Legendre
408:Joseph-Louis Lagrange
364:hypergeometric series
136:, first published by
126:mathematical analysis
106:
1754:Mathematical physics
1164:Wrinch, Dorothy Maud
1121:Neville, Eric Harold
937:"Peano paragraphing"
896:(9): 600–609. 1941.
420:Carl Friedrich Gauss
416:Pierre-Simon Laplace
376:mathematical physics
122:Whittaker and Watson
1616:1928Natur.121..417M
1554:1920Natur.106R.531.
1503:1916Natur..97..298.
1429:1963ZaMM...43R.435S
1052:10.1021/ja02004a022
860:. St. Andrews, UK:
817:. St. Andrews, UK:
348:complex integration
303:The Theta Functions
130:Edmund T. Whittaker
54:Edmund T. Whittaker
34:
1899:Numerical analysis
1884:Harmonic functions
1879:General relativity
1828:Whittaker function
1759:History of science
1210:(196): 245. 1928.
933:Kowalski, Emmanuel
382:Arthur S. Hathaway
372:elliptic functions
360:Legendre functions
352:theory of residues
344:Fourier expansions
285:Legendre Functions
276:The Gamma Function
264:Integral Equations
170:Mary L. Cartwright
109:
1957:
1956:
1927:
1919:
1869:Special functions
1344:: 160–161. 1916.
1032:(February 1903).
850:(December 2005).
844:O'Connor, John J.
801:O'Connor, John J.
739:Moll, Victor Hugo
697:978-0-521-58807-2
651:978-0-521-06794-2
424:Niels Henrik Abel
325:George B. Mathews
297:Mathieu Functions
101:
100:
16:(Redirected from
2002:
1990:Complex analysis
1935:Notable disputes
1925:
1917:
1874:Electromagnetism
1857:Notable research
1716:
1709:
1702:
1693:
1687:
1669:
1637:
1627:
1625:10.1038/121417a0
1591:
1573:
1562:10.1038/106531c0
1530:
1511:10.1038/097298a0
1483:
1448:
1409:
1361:
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1278:
1261:(4): 176. 1921.
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840:
834:
833:
831:
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807:(October 2003).
797:
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789:
787:
786:
766:978-1-31651893-9
727:
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662:
656:
654:
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573:(viii+560 pages)
572:
545:
539:
537:
512:
506:
504:
502:
469:
404:Friedrich Bessel
392:complex analysis
368:Bessel functions
291:Bessel Functions
197:Notable features
174:Vernon C. Morton
166:Godfrey H. Hardy
134:George N. Watson
93:Publication date
58:George N. Watson
42:
35:
21:
2010:
2009:
2005:
2004:
2003:
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1960:
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1930:
1903:
1852:
1833:Whittaker model
1816:
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1732:
1720:
1641:
1595:
1534:
1486:
1452:
1413:
1382:10.2307/3604810
1365:
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1299:
1267:10.2307/2972291
1247:
1216:10.2307/3606904
1199:
1162:
1139:10.2307/3604927
1119:
1076:
1073:
1071:Further reading
1068:
1067:
1028:
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1020:
988:10.2307/3603560
982:(39): 290–292.
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737:(2021-08-26) .
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538:(xvi+378 pages)
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396:infinite series
336:infinite series
322:
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234:Complex Numbers
222:
199:
151:digitally reset
146:
94:
45:
28:
23:
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1688:(1 of 6 pages)
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1310:(4): 639–640.
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1090:(4): 525–533.
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935:(2008-06-03).
924:
878:
835:
792:
765:
722:
696:
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641:
627:(1927-01-02).
609:
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507:
493:(7): 351–354.
473:BĂ´cher, Maxime
460:
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400:Joseph Fourier
356:gamma function
338:, focusing on
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214:Giuseppe Peano
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155:Victor H. Moll
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1769:Notable works
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1744:Mathematics
790:(700 pages)
128:written by
76:Mathematics
1964:Categories
1652:(errata).
1606:(review).
1544:(review).
1493:(review).
1462:(review).
1423:(9): 435.
1419:(review).
1372:(review).
1336:(review).
1306:(review).
1303:The Monist
1257:(review).
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1129:(review).
1086:(review).
1046:(2): 220.
1042:(review).
978:(review).
951:2021-03-21
922:(10 pages)
872:2021-03-21
829:2021-03-21
785:2021-12-26
604:1170617940
534:1072208628
489:(review).
456:References
440:language.
182:André Weil
162:Littlewood
1821:Eponym of
1749:Astronomy
1676:0025-5718
1634:1476-4687
1580:1476-4687
1519:1476-4687
1480:0025-5572
1445:1521-4001
1410:(2 pages)
1390:0025-5572
1362:(2 pages)
1350:2059-495X
1328:(2 pages)
1316:0026-9662
1285:0002-9890
1224:0025-5572
1184:2059-4941
1147:0025-5572
1116:(9 pages)
1104:0026-4423
1060:0002-7863
1016:(3 pages)
1012:221486387
996:0025-5572
910:0002-9890
706:802476524
672:(1996) .
569:474155529
505:(4 pages)
477:"Review:
315:Reception
82:Publisher
1864:Rapidity
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1592:(1 page)
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1358:43426733
1324:27900617
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1159:(1 page)
968:(1903).
945:Archived
866:Archived
857:MacTutor
823:Archived
814:MacTutor
779:Archived
590:(1920).
555:(1915).
518:(1902).
475:(1904).
444:See also
350:and the
220:Contents
64:Language
1731:LLD ScD
1684:2007758
1656:(153).
1612:Bibcode
1550:Bibcode
1527:3980161
1499:Bibcode
1425:Bibcode
1398:3604810
1293:2972291
1240:3980161
1232:3606904
1178:: 658.
1155:3604927
1112:2248860
1004:3603560
918:2303868
741:(ed.).
144:History
72:Subject
67:English
1813:(1953)
1805:(1951)
1797:(1910)
1789:(1904)
1781:(1902)
1737:Fields
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1603:Nature
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1541:Nature
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362:, the
50:Author
1918:(son)
1680:JSTOR
1584:S2CID
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1236:S2CID
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1108:JSTOR
1008:S2CID
1000:JSTOR
914:JSTOR
1729:FRSE
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1083:Mind
1056:ISSN
992:ISSN
906:ISSN
771:ISBN
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710:ISBN
702:OCLC
692:ISBN
647:ISBN
637:ISBN
600:OCLC
565:OCLC
530:OCLC
342:and
164:and
132:and
97:1902
56:and
1726:FRS
1662:doi
1620:doi
1608:121
1566:hdl
1558:doi
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1468:doi
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1378:doi
1271:hdl
1263:doi
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1135:doi
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