TY - BOOK ID - 80875750 TI - Multidimensional real analysis. AU - Duistermaat, J. J. AU - Kolk, Johan A. C. AU - Braam Houckgeest, J. P. van PY - 2004 SN - 0511195583 9780511195587 0511194234 9780511194238 1107141923 1280477520 9786610477524 0511194927 0511193491 0511314000 0511616716 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Mathematical analysis KW - Functions of real variables KW - Real variables KW - Functions of complex variables KW - 517.1 Mathematical analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:80875750 AB - Part one of the authors' comprehensive and innovative work on multidimensional real analysis. This book is based on extensive teaching experience at Utrecht University and gives a thorough account of differential analysis in multidimensional Euclidean space. It is an ideal preparation for students who wish to go on to more advanced study. The notation is carefully organized and all proofs are clean, complete and rigorous. The authors have taken care to pay proper attention to all aspects of the theory. In many respects this book presents an original treatment of the subject and it contains many results and exercises that cannot be found elsewhere. The numerous exercises illustrate a variety of applications in mathematics and physics. This combined with the exhaustive and transparent treatment of subject matter make the book ideal as either the text for a course, a source of problems for a seminar or for self study. ER -