TEXT:

E.W. Cheney, H. Koch, "Methods of Applied Mathematics",
     Course Notes

SOME ADDITIONAL REFERENCES:

J.-P. Aubin, "Applied Functional Analysis", J. Wiley (1979), QA320.A913

A. Avez, "Introduction to Functional Analysis, Banach Spaces,
     and Differential Calculus", J. Wiley (1986), QA304.A8413

S.K. Berberian, "Introduction to Hilbert Space" Chelsea (1976), QA322.4.B47

L. Collatz, "Functional Analysis and Numerical Mathematics",
     Academic Press (1966), QA297.C58

L. Debnath, P. Mikusinski, "Introduction to Hilbert Spaces with Applications",
     Academic Press (1990), QA322.4.D43

A. Friedman, "Foundations of Modern Analysis", Dover (1982)

D.H. Griffel, "Applied Functional Analysis", 
     Halsted Press, J. Wiley (1985), QA320.G684

P. Halmos, "Introduction to Hilbert Space ...", Chelsea (1957), QA691.H34

L.V. Kantorovich, G.P. Akilov, "Functional Analysis in Normed Spaces",
     Pergamon Press (1964), QA320.K283

T.W. Koerner, "Fourier Analysis", Cambridge University Press (1989), QA93.K65

A.N. Kolmogorov and S.V. Fomin, "Introductory Real Analysis",
     Dover (1975), QA331.K73213

E. Kreysig, "Introductory Functional Analysis with Applications", Wiley (1978)

R. Larsen, "Functional Analysis", Marcel Dekker (1973), QA320.L33

E.H. Lieb, M. Loss, "Analysis", Amer. Math. Soc. (1997), QA300.L54

J.D. Logan, "Applied Mathematics: A Contemporary Approach",
     Wiley (1987), QA 37.2.L64

R.E. Moore, "Computational Functional Analysis", Halsted (1985), QA320.M67

J.T. Oden, L.F. Demkowicz, "Applied Functional Analysis",
    CRC Press (1996), QA320.O29

R.B. Rall, "Computational Solution of Nonlinear Operator Equations",
     J. Wiley (1969), QA218.R34

R.B. Rall (ed), "Nonlinear Functional Analysis and Applications",
     Academic Press (1971), QA3.U45 v.26

M. Reed, B. Simon, "Functional Analysis", Academic Press (1980), QC20.R37

H.L. Royden, "Real Analysis", Macmillan (1964), QA331.5.R6

W. Rudin, "Real and Complex Analysis", McGraw-Hill (1987), QA300.R82

W. Rudin, "Functional Analysis", McGraw-Hill (1973), QA320.R83

R.E. Showalter, "Hilbert Space Methods for Partial Differential Equations",
     Pitman (1977), QA374.S5692

E.M. Stein, G. Weiss, "Introduction to Fourier Analysis on Euclidean Spaces",
     Princeton University Press (1971), QA403.S79

N.Ya. Vilenkin, "Functional Analysis", Wolters-Noordhoff (1972), QA320.K7313

V.S. Vladimirow (ed), "A Collection of Problems on the Equations
     of Mathematical Physics", Mir Publishers Moscow (1982),
     Springer (1986), QC20.5.C6413

N. Young, "An Introduction to Hilbert Space", Oxford University Press (1988)

E. Zeidler, "Nonlinear Functional Analysis and its Applications",
     Springer (1985), QA321.5.Z4513