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Springer Undergraduate Mathematics Series

Advisory Board
M.A.J. Chaplain University of Dundee K. Erdmann Oxford University A.MacIntyre Queen Mary, University of London L.C.G. Rogers University of Cambridge E. Süli Oxford University J.F. Toland University of Bath

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Bryan P. Rynne and Martin A. Youngson

Linear Functional Analysis
Second Edition

Bryan P. Rynne, BSc, PhD Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK

Martin A. Youngson, BSc, PhD Department of Mathematics and the Maxwell Institute forMathematical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK

Cover illustration elements reproduced by kind permission of: Aptech Systems, Inc., Publishers of the GAUSS Mathematical and Statistical System, 23804 S.E. Kent-Kangley Road, Maple Valley, WA 98038, USA. Tel: (206) 432 - 7855 Fax (206) 432 - 7832 email: info@aptech.com URL: www.aptech.com. American Statistical Association: Chance Vol8 No 1, 1995 article by KS and KW Heiner ‘Tree Rings of the Northern Shawangunks’ page 32 fig 2. Springer-Verlag: Mathematica in Education and Research Vol 4 Issue 3 1995 article by Roman E Maeder, Beatrice Amrhein and Oliver Gloor ‘Illustrated Mathematics: Visualization of Mathematical Objects’ page 9 fig 11, originally published as a CD ROM ‘Illustrated Mathematics’ by TELOS: ISBN 0-387-14222-3,German edition by Birkhauser: ISBN 3-7643-5100-4. Mathematica in Education and Research Vol 4 Issue 3 1995 article by Richard J Gaylord and Kazume Nishidate ‘Traffic Engineering with Cellular Automata’ page 35 fig 2. Mathematica in Education and Research Vol 5 Issue 2 1996 article by Michael Trott ‘The Implicitization of a Trefoil Knot’ page 14. Mathematica in Education and Research Vol 5 Issue...