Supplementary Reference Material
Our book addresses essential topics at the intermediate level in set theory in Chapter 1, abstract algebra (resp. algebraic structures) in Chapter 2, linear algebra and matrix algebra in Chapters 3 and 4, metric spaces (resp. real analysis and topological structures) in Chapter 5, Banach and Hilbert spaces (resp. functional analysis) in Chapter 6, and linear operators (resp. functional analysis) in Chapter 7. Since each one of these topics constitutes a subject in its own right, references for supplementary reading are provided at the end of each chapter. Some of these were selected because they are classic books on the subject under discussion while others provide an especially good exposition of the material on hand. In the following, in addition to the references cited in our book, we enumerate some additional material which the reader may find useful for further study of the addressed topics.
References for Chapter 1 include -.
References for Chapter 2 include -. For more recent texts on abstract algebra refer, e.g. to -.
References for Chapters 3 and 4 include -. For more recent references on linear algebra and matrix algebra, the reader may wish to consult, e.g. -.
References for Chapter 5 include - and . For more recent references on real analysis (resp. metric spaces) the reader may want to consult, e.g. -.
References for Chapters 6 and 7 include -. For more recent references on functional analysis the reader may want to consult, e.g. -.
 A.M. Gleason, Fundamentals of Abstract Analysis,
 P.R. Halmos, Naïve Set Theory,
 F. Hausdorff, Mengenlehre, New York, Dover Publications, Inc., 1944.
 G. Birkhoff and S.
MacLane, A Survey of Modern Algebra,
 C.B. Hanneken, Introduction to Abstract Algebra,
 N. Jacobsen, Lectures in Abstract Algebra, New York, D. Van Nostrand Co., 1951.
 S.T. Hu, Elements of Modern Algebra, San Francisco, Holden Day, Inc., 1965.
 D.S. Dummit and R.M.
Foote, Abstract Algebra,
 I.N. Herstein, Abstract Algebra, 3rd
 J.B. Fraleigh, A First Course in Abstract Algebra, 6th
 P.R. Halmos, Finite Dimensional Vector Spaces,
 K. Hoffman and R. Kunze,
 S. Lipschutz, Linear Algebra, New York, Mc Graw-Hill Book Co., 1968.
 B. Noble, Applied Linear Algebra,
 R.E. Bellman, Introduction to Matrix Algebra,
 F.R. Gantmacher, Theory of Matrices, vol. 1 and 2,
 W.H. Greub, Linear Algebra, 4th Edition,
 L. Smith, Linear Algebra,
 S. Lang, Linear Algebra, 3rd Edition, Springer-Verlag, 2004.
 R. Steven, Advanced Linear Algebra,
 E.T. Copson, Metric Spaces,
 H.L. Royden, Real Analysis,
 A.E. Taylor, General Theory of Functions and Integration,
 J. Kelly, General Topology, Princeton, N.J., D. Van Nostrand Co., 1955.
 H.L. Royden, Real Analysis, 3rd Edition,
 W. Rudin, Real and Complex Analysis, New York, Mc Graw-Hill Book Co., 1987.
 G.B. Folland, Real Analysis: Modern Techniques and Their
Applications, 2nd Edition,
 A.N. Kolmogorov and S.V.
Fomin, Elements of the Theory of
Functions and Functional Analysis, vol. 1 and 2,
 L.V. Kantorovich and
G.P. Akilov, Functional Analysis in
Normed Linear Spaces,
 P.R. Halmos. Introduction to
 A.E. Taylor, Introduction to Functional Analysis,
 K. Yosida, Functional Analysis,
 N. Dunford and J.
Schwarz, Linear Operators, Parts 1
 E. Hille and R.S.
Phillips, Functional Analysis and
 A.W. Naylor and G.R.
Sell, Linear Operator Theory in
Engineering and Science,
 A.V. Balakrishnan, Applied Functional Analysis,
 R.F. Curtain and A.J.
Pritchard, Functional Analysis in Modern
 L. Collatz, Functional Analysis and Numerical Mathematics,
 E. Kreyszig, Introductory Functional Analysis with
 J.B. Conway, A Course in Functional Analysis, 2nd
 E. Zeidler, Applied Functional Analysis: Main Principles
and Their Applications,