000 01979nam a2200229Ia 4500
003 OSt
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008 220923b |||||||| |||| 00| 0 eng d
037 _cTextual
040 _aRTL
_cRTL
_beng
041 _2eng
_aeng
084 _aB13 K6/SC
_qRTL
100 _aLedermann, Walter
_9291210
245 0 _aMultiple integrals
260 _aLondon
_bRoutledge & Kegan Paul
_c1966
300 _avi, 106 p.
_ccm.
_bIncludes index and appendix
490 _aLibrary of mathematics
520 _aSpringer Science & Business Media, 6 Dec 2012 - Social Science - 107 pages The aim of this book is to give an elementary treatment of multiple integrals. The notions of integrals extended over a curve, a plane region, a surface and a solid are introduced in tum, and methods for evaluating these integrals are presented in detail. Especial reference is made to the results required in Physics and other mathematical sciences, in which multiple integrals are an indispensable tool. A full theoretical discussion of this topic would involve deep problems of analysis and topology, which are outside the scope of this volume, and concessions had to be made in respect of completeness without, it is hoped, impairing precision and a reasonable standard of rigour. As in the author's Integral Calculus (in this series), the main existence theorems are first explained informally and then stated exactly, but not proved. Topological difficulties are circumvented by imposing some what stringent, though no unrealistic, restrictions on the regions of integration. Numerous examples are worked out in the text, and each chapter is followed by a set of exercises. My thanks are due to my colleague Dr. S. Swierczkowski, who read the manuscript and made valuable suggestions. w. LEDERMANN The University of Sussex, Brighton.
650 _aMathematics- Multiple Integrals
_9813477
942 _hB13 K6/SC
_cREF
_2CC
_n0
999 _c581612
_d581612