User:Kompik/bibliography

The purpose of this subpage is to have at hand various books for citation. If you find here any mistakes or something missing (ISBN etc.) feel free to correct it. --Kompik 09:49, 12 February 2007 (UTC)

In some cases, I have used Google books, but I do have most of the books listed here. In case you do not have some book listed here and you need something from it, feel free to contact me (by email or on my talk page). --Kompik (talk) 08:12, 28 May 2008 (UTC)

Other sources

• Some pages from Category:Series of mathematics books like Graduate Texts in Mathematics and Undergraduate Texts in Mathematics can be useful.
• Category:Mathematics source templates

Other users

• User:Paul_August/Bibliography has a quite extensive bibliography containing mostly mathematical books.
• User:Mgkrupa/Bibliography

Examples from Template:cite book

• Mumford, David (1999). The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and Their Jacobians (2nd ed.). Springer-Verlag. doi:10.1007/b62130. ISBN 354063293X.

Books

Category theory

• Adámek, Jiří; Herrlich, Horst; Strecker, George E. (1990). Abstract and Concrete Categories (PDF). New York: John Wiley & Sons.{{cite book}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)

• Herrlich, Horst (1968). Topologische Reflexionen und Coreflexionen. Lecture Notes in Math. 78. Berlin: Springer.

Discrete mathematics

• Grimaldi, Ralph P. (2004). Discrete and combinatorial mathematics. Boston: Addison-Wesley. ISBN 0-201-72634-3.

• Johnson, D. L. (2001). Elements of logic via numbers and sets. Springer Undergraduate Mathematics Series. Berlin: Springer-Verlag. ISBN 3-540-76123-3.

Functional analysis

Templates: {{Aliprantis Border Infinite Dimensional Analysis A Hitchhiker's Guide Third Edition}}, {{{Rudin Walter Functional Analysis|edition=2}}

• Graduate Texts in Mathematics: Pedersen

• Aliprantis, Charalambos D.; Border, Kim C. (2006). Infinite dimensional analysis: A hitchhiker's guide (Third ed.). Berlin: Springer. pp. xxii+703 pp. MR 2378491. ISBN 978-3-540-32696-0, ISBN 3-540-32696-0.

• Carothers, N. L. (2005). A Short Course on Banach Space Theory. London Mathematical Society Student Texts. Vol. 64. Cambridge: Cambridge University Press. ISBN 978-0-521-60372-0.

• Conway, John B. (1994). A Course in Functional Analysis. Graduate Texts in Mathematics. Vol. 96. New York: Springer. ISBN 0-387-97245-5.

• Megginson, Robert E. (1998). An Introduction to Banach Space Theory. Graduate Texts in Mathematics. Vol. 193. New York: Springer. ISBN 0-387-98431-3.

• Schechter, Eric (1997). Handbook of Analysis and its Foundations. San Diego: Academic Press. ISBN 0126227608.

Functional equations

• Kuczma, Marek (2009). An introduction to the theory of functional equations and inequalities. Cauchy's euqation and Jensen's inequality. Basel: Birkhäuser. ISBN 9783764387495.

• Kuczma, Marek (1968). Functional equations in a single variable. Warszawa: PWN.

• Kuczma, Marek; Choczewski, Bogdan; Ger, Roman (1990). Iterative functional equations. Cambridge: Cambridge University Press. ISBN 0521355613.

General topology

Templates: {{Dixmier General Topology}}, {{Kelley General Topology}}, {{Willard General Topology}}

• Arhangel'skii, Alexander; Tkachenko, Mikhail (2008). Topological Groups and Related Structures. World Scientific. ISBN 978-90-78677-06-2. MR 2433295.

• Bourbaki, Nicolas (1966). Elements of Mathematics: General Topology. Adison-Wesley.

• Engelking, Ryszard (1977). General Topology. PWN, Warsaw.

• Engelking, Ryszard (1989). General Topology. Sigma Series in Pure Mathematics, Vol. 6. Heldermann Verlag, Berlin. ISBN 3885380064.

• Engelking, Ryszard (1968). Outline of General Topology. translated from Polish. North-Holland, Amsterdam.

• Engelking, Ryszard (1978). Dimension Theory. North-Holland, Amsterdam.

• Gähler, Werner (1977). Grundstrukturen der Analysis I. Akademie-Verlag, Berlin.

• Juhász, István (1979). Cardinal functions in topology. Math. Centre Tracts, Amsterdam. ISBN 978-90-6196-062-1.

• Juhász, István (1980). Cardinal functions in topology - ten years later. Math. Centre Tracts, Amsterdam. ISBN 90-6196-196-3.

• Kelley, John L. (1991). General Topology. Springer. ISBN 3540901256.

• Runde, Volker (2005). A Taste of Topology. Springer. ISBN 978-0387-25790-7.

• Willard, Stephen (2004). General Topology. Dover Publications. ISBN 0486434796. or using template: Willard, Stephen (2004) [1970]. General Topology. Mineola, N.Y.: Dover Publications. ISBN 978-0-486-43479-7. OCLC 115240.

Linear algebra

• Roman, Steven (2008). Advanced Linear Algebra. Graduate Texts in Mathematics. Vol. 135 (3rd ed.). Springer Science+Business Media, LLC. ISBN 978-0-387-72828-5.

Number theory

Templates: {{Hardy and Wright}}

• Andreescu, Titu; Andrica, Dorin; Cucurezeanu, Ion (2010). An Introduction to Diophantine Equations. A Problem-Based Approach. New York: Springer. ISBN 0817645489.

• H. H. Ostmann (1956). Additive Zahlentheorie I (in German). Berlin-Göttingen-Heidelberg: Springer-Verlag.

• Steuding, Jörn. "Probabilistic number theory" (PDF). Retrieved 2005-10-06., Wayback Machine

• G. Tenenbaum (1995). Introduction to analytic and probabilistic number theory. Cambridge: Cambridge Univ. Press.

Representation theory

Templates: {{Fulton-Harris}}

Semigroups

• Clifford, Alfred Hoblitzelle; Preston, Gordon Bamford (1972). The Algebraic Theory of Semigroups. Russian translation. Moskva: Mir.

• Clifford, Alfred Hoblitzelle; Preston, Gordon Bamford (1961). The Algebraic Theory of Semigroups. Vol I. Mathematical Surveys, No. 7. Providence, R.I.: American Mathematical Society. ISBN 978-0-8218-0272-4. MR 0132791.

• Grillet, Pierre A. (2001). Commutative Semigroups. Dordrecht: Springer Science+Business Media. ISBN 978-0-7923-7067-3. Zbl 1040.20048.

• Nagy, Attila (2001). Special Classes of Semigroups. Dordrecht: Kluwer Academic Publishers. ISBN 0792368908.

Set Theory

• Balcar, Bohuslav; Štěpánek, Petr (2000). Teorie množin (in Czech) (2 ed.). Praha: Academia. ISBN 802000470X.

• Fremlin, David H. (1984). Consequences of Martin's axiom. Cambridge tracts in mathematics, no. 84. Cambridge: Cambridge University Press. ISBN 0521250919.

• Halbeisen, Lorenz J. (2012). Combinatorial Set Theory: With a Gentle Introduction to Forcing. Springer Monographs in Mathematics. London: Springer-Verlag. doi:10.1007/978-1-4471-2173-2. ISBN 978-1-4471-2172-5.

• Herrlich, Horst (2006). Axiom of Choice. Springer Lecture Notes in Math. 1876. Berlin: Springer-Verlag. doi:10.1007/11601562. ISBN 9783540342687.

• Hrbacek, Karel; Jech, Thomas (1999). Introduction to Set Theory (3 ed.). Marcel Dekker. ISBN 0824779150.

• Jech, Thomas (2003). Set Theory. Springer Monographs in Mathematics (Third Millennium ed.). Berlin, New York: Springer-Verlag. ISBN 978-3-540-44085-7. Zbl 1007.03002.

• Holz, Michael; Steffens, Karsten; Weitz, Edmund (1999). Introduction to Cardinal Arithmetic. Birkhäuser. ISBN 3764361247.

• Kechris, Alexander S. (1995). Classical Descriptive Set Theory. Graduate Texts in Mathematics 156. Springer. ISBN 0-387-94374-9 ISBN 3-540-94374-9.

Summability Theory

• Boos, Johann (2000). Classical and modern methods in summability. New York: Oxford University Press. ISBN 019850165X.

Various

• Arveson, William (1981). An Invitation to C*-Algebras (Graduate Texts in Mathematics 39 ed.). New York: Springer-Verlag. ISBN 0-387-90176-0.

• Bajnok, Béla (1981). An Invitation to Abstract Mathematics (Undergraduate Texts in Mathematics ed.). New York: Springer. ISBN 978-1-4614-6636-9.

• Andrzej Granas and James Dugundji (2003). Fixed Point Theory. New York: Springer-Verlag. ISBN 0-387-00173-5.

• Knopp, Konrad (1922). Theorie und Anwendung der unendlichen Reihen. Berlin: Verlag von Julius Springer.

• Kolibiar, Milan; Legéň, Anton; Šalát, Tibor; Znám, Štefan (1992). Algebra a príbuzné disciplíny (in Slovak). Bratislava: Alfa. ISBN 80-05-00721-3.

• Rajwade, A. R. (1993). Squares. Cambridge University Press. ISBN 0521426685.

• Šalát, Tibor (1974). Nekonečné rady (in Slovak). Praha: Academia.

• Tignol, Jean-Pierre (2001). Galois' Theory of Algebraic Equations. Singapore: World Scientific. ISBN 981-02-4541-6.

print.google

• T. Forster: Logic, Induction and Sets

• Thomas Forster (July 21, 2003). Logic, Induction and Sets, 58. Google Print. ISBN 0521533619 (accessed September 8, 2005). Also available in print from Cambridge University Press.

Papers

• Arhangel'skiĭ, A. V.; Franklin, S. P. (1968). "Ordinal invariants for topological spaces". Michigan Math. J. 15 (3): 313–320. doi:10.1307/mmj/1029000034.

• Anne C. Davis (1955). "A characterization of complete lattices". Pacific J. Math. 5: 311–319.

• B. Knaster (1928). "Un theorème sur les fonctions d'ensembles". Ann. Soc. Polon. Math. 6: 133–134.

• Peter Komjath (1997). "Review: Tomek Bartoszynski, Haim Judah, Set Theory. On the Structure of the Real Line". J. Symbolic Logic. 62 (2): 321–323. JSTOR 2275745.

• H. Elton Lacey (1973). "The Hamel Dimension of any Infinite Dimensional Separable Banach Space is c". Amer. Math. Monthly. 80 (3): 298. doi:10.1080/00029890.1973.11993276. JSTOR 2318458.

• Michael C. McCord (1966). "Singular homology groups and homotopy groups of finite topological spaces". Duke Mathematical Journal. 33: 465–474. doi:10.1215/S0012-7094-66-03352-7.

• Tibor Šalát (1980). "On statistically convergent sequences of real numbers". Mathematica Slovaca. 30 (2): 139–150.

• Alfred Tarski (1955). "A lattice-theoretical fixpoint theorem and its applications". Pacific Journal of Mathematics. 5:2: 285–309.

• van Mill, Jan (1984), "An introduction to $\beta \omega$", in Kunen, Kenneth; Vaughan, Jerry E. (eds.), Handbook of Set-Theoretic Topology, North-Holland, pp. 503–560, ISBN 0444865802

External links

• J. B. Nation Notes on lattice theory. Retrieved September 8, 2005.

Other

• Keffe, Simon P. (2003). The Cambridge Companion to Mozart. Cambridge University Press. ISBN 0521001927.