M. Adams/V. Guillemin: Measure theory and probability. Birkha''user 1996, 210p. 0-81763884-9. DM 50. "A neatly written standard undergraduate textbook on measure and integration with some excursions made to the mathematics of probability theory." (EMS Newsletter) Stefan Banach: Sur le probleme de la mesure. Fund. Math. 4 (1923), 7-33. Stefan Banach/A. Tarski: Sur la decomposition des ensembles de points en parties respectivement congruents. Fund. Math. 6 (1924), 244-277. Robert Bartle: A modern theory of integration. AMS 2001, 460p. $60. A good introduction to the Kurzweil-Henstock R* integral. "Dieser Integralbegriff, den man durch eine geringfügige Veränderung der Definition des klassischen Riemann-Integrals erhält, ist äquivalent zu den Integralen von Perron und Denjoy und somit allgemeiner als das Lebesgue-Integral. Im Vergleich zu den Integralen von Perron und Denjoy benötigt das R*-Integral kaum Vorwissen und ist wegen seiner geometrischen Definition auch sehr anschaulich. Das Buch nutzt diese Vorteile des R*-Integrals sehr gut ... Das umfassende und schöne Werk ist sowohl als hervorragende Grundlage für Vorlesungen über moderne Integrationstheorie als auch zum Selbststudium dieses eleganten Teils der Mathematik geeignet." (E. Teufl) 605 Heinz Bauer: Wahrscheinlichkeitstheorie und Grundzuege der Masstheorie. De Gruyter 1978. 12995 Heinz Bauer: Maß- und Integrationstheorie. De Gruyter 1992. E. Behrends: Maß- und Integrationstheorie. Springer 1987. 17924 Horst Belkner/Siegfried Brehmer: Lebesguesche Integrale. Dt. Vlg. Wiss. 1984, 150p. S. Berberian: Fundamentals of real analysis. Springer 1999, 480p. DM 99. Klaus Bichteler: Integration - a functional approach. Birkha''user 1998, 190p. SFR 68. Patrick Billingsley: Probability and measure. Wiley 1995, 610p. $107. V. Bogachev: Measure theory. 2 volumes. Springer 2007, Tog. 1110p. Tog. Eur 120. Richard Bradley: An elementary treatment of the Radon-Nikodym derivate. Am. Math. Monthly 96/5 (1989), 437-440. 17759 James Briggs/Thomas Schaffter: Measure and cardinality. Am. Math. Monthly 86 (1979), 852-855. 19109 H. Brunk: Conditional expectation given a sigma-lattice and applications. Ann. Math. Stat. 36 (1965), 1339-1350. 19108 H. Brunk/S. Johansen: A generalized Radon-Nikodym theorem. Pacific J. Math. 34/3 (1970), 585-617. Constantin Caratheodory: Measure and integral. Chelsea. 7142 Gustave Choquet: Lectures on analysis. 3 volumes. Benjamin 1969. 5142 Krysztof Ciesielski: How good is Lebesgue measure? Math. Intell. 11/2 (1989), 54-58. 17764 Krzysztof Ciesielski: Isometrically invariant extensions of Lebesgue measure. Proc. AMS 110/3 (1990), 799-801. A very short proof of the Cieselski-Pelc theorem published in Fund. Math. 125 (1985). Krysztof Ciesielski/Andrzej Pelc: Extensions of invariant measures on Euclidean spaces. Fund. Math. 125 (1985), 1-10. The authors show that there are no maximal elements among the extensions of the Lebesgue measure which are invariant with respect to movements. Donald Cohn: Measure theory. Springer 2013, 460p. Eur 52. John B. Conway: A course in abstract analysis. AMS 2012, 370p. "This is an unusual and excellent textbook. It offers a unified account on measure theory and functional analysis ... it is a pure pleasure to read this book." (G. Pilz) Joe Diestel/Angela Spalsbury: The joys of Haar measure. AMS 2014, 340p. Eur 75. Joseph Doob: Measure theory. Springer 1993, 240p. $52. 17773 Raouf Doss: The Hahn decomposition theorem. Proc. AMS 80/2 (1980), 377. 17660 Jürgen Elstrodt: Maß- und Integrationstheorie. Springer 2005, 430p. Eur 30. "Dieses ansprechende und ausführliche Lehrbuch ..." (R. Bürger) Lawrence Evans/Ronald Gariepy: Measure theory and fine properties of functions. CRC 1992, 290p. $116. Should be a very good text on Hausdorff dimension. Wolfgang Filter/K. Weber: Integration theory. Chapman & Hall 1997, 290p. 0-412-57680-5. Pds. 35. Daniell integration. "The book is well written and ... can be used as a textbook for a university course in integration ... recommended ..." (EMS Newsletter) K. Floret: Maß- und Integrationstheorie. Teubner 1981. 17842 B. Fort: A specialization of Zorn's lemma. Duke Math. J. 15 (1948), 763-765. David Fremlin: Measure theory. 5 volumes. In preparation, 4 volumes already completed in 2005? Titles of the volumes: I: The irreducible minimum; II: Further topics in the general theory; III: Measure algebras; IV: Topological measure spaces; V: Set-theoretic measure theory. Books are available from the author. 3182 Robert French: The Banach-Tarski theorem. Math. Intell. 10/4 (1988), 21-28. C. Goffman/G. Pedrick: A proof of the homeomorphism of Lebesgue-Stieltjes measure with Lebesgue measure. Proc. AMS 52 (1975), 196-198. 16761 I. Gradshteyn/I. Ryzhik: Table of integrals, series, and products. Academic Press 2000, 1140p. $89. 28701 Karl Grill: Maß- und Wahrscheinlichkeitstheorie. Vorl. TU Wien 2018, 160p. W. Hackenbroch: Integrationstheorie. Teubner 1987, 144p. DM 23. 1220 Paul Halmos: Measure theory. Springer 1974. F. Hausdorff: Grundzu''ge der Mengenlehre. Chelsea 1949. Ralph Henstock: The general theory of integration. Oxford UP 1991, 260p. 0-19-853566-x. Pds. 40. A very general integral is presented. Not easy to read. "Die wissenschaftliche Leistung, die in diesem Werk steckt, ist eindrucksvoll und verdient groesste Hochachtung." (F. Schnitzer) 835 Ernst Henze: Einfuehrung in die Masstheorie. Bibl. Inst. 1971. E. Hewitt/K. Ross: Abstract harmonic analysis I. Springer 1965. 797 Edwin Hewitt/Karl Stromberg: Real and abstract analysis. Springer 1965. Alfred Horn/Alfred Tarski: Measures in boolean algebras. Trans. AMS 64 (1948), 467-497. Konrad Jacobs: Measure and integral. Academic Press 1978. A. Janssen/P. van der Steen: Integration theory. SLN Math. 1078 (1984). 19110 S. Johansen: The descriptive approach to the derivative of a set function with respect to a sigma-lattice. Pacific J. Math. 21/1 (1967), 49-58. Frank Jones: Lebesgue integrations on Euclidean spaces. Jones and Bartlett 1993, 590p. 0-86720-203-3. $47. "... ery comprehensive and thoroughly prepared ..." (W. Wilczynski) 17805 John Kelley/T. Srinivasan: Premeasures on lattices of sets. Math. Ann. 190 (1971), 233-241. 17804 John Kelley/T. Srinivasan: Measure and integral - a new gambit. In Kölzow/Maharam 1984, 120-126. 17886 John Kelley/T. Srinivasan: Measure and integral I. Springer 1988, 150p. Alexander Kharazishvili: Nonmeasurable sets and functions. Elsevier 2004, 350p. $136. J. Kisynski: On the generation of tight measures. Studia Math. 30 (1968), 141-151. 23854 Andreas Knauf: Maßtheorie. Vorl. Univ. Erlangen 2012, 65p. 17834 Dietrich Kölzow: Differentiation von Maßen. Springer LN Math. 65 (1968), 100p. Dietrich Kölzow/Dorothy Maharam (ed.): Measure theory Oberwolfach 1983. Springer LN Math. 1089 (1984). 17763 Heinz König: On the basic extension theorem in measure theory. Math. Zeitschr. 190 (1985), 83-94. 4990 Heinz König: Besprechung des Buches "Mass- und Integrationstheorie" von Heinz Bauer. Jber. DMV 95 (1993), B 52-57. Eine ausfuehrliche und kritische Besprechung des bekannten Lehrbuchs. Der Rezensent wuenscht sich mehr Allgemeinheit, moechte aber die aeusseren Masse opfern. 17885 Heinz König: Measure and integration. Springer 1997, 260p. Original and highly technical. 17760 Heinz König: Measura and integration - comparison of old and new procedures. Arch. Math. 72 (1999), 192-205. 17757 Heinz König: Measure and integration - an attempt at unifying systematization. Rend. Ist. Mat. Univ. Trieste 34 (2002), 155-214. 4038 Andrei Kolmogorov/Sergei Fomin: Elementi di teoria delle funzioni e di analisi funzionale. Mir 1980. 20421 George Koumoullis: On the Radon-Nikodym theorem. Am. Math. Monthly June 2008, 556-558. J. Kurzweil: Integration between the Lebesgue integral and the Henstock-Kurzweil integral - its relation to locally convex vector spaces. World Scientific 2002, 140p. Pds. 19. Robert Lang: A note on the measurability of convex sets. Arch. Math. 47 (1986), 90-92. 16665 Carl Lee: The Banach-Tarski paradox - how to disassemble a ball the size of a pea and reassemble it into a ball the size of the Sun. Internet 1992, 6p. C. Leinenkugel: A Daniell-Stone approach to the general Denjoy integral. Proc. AMS 114 (1992), 39-52. Modern integration theory. 17743 Dorothy Maharam: On homogeneous measure algebras. Proc. Nat. Ac. Sci. 28/3 (1942), 108-111. 17746 Dorothy Maharam: From finite to countable additivity. Port. Math. 44/3 (1987), 265-282. 480 Alessandra Marzola: Un approccio intrinseco alla probabilita'. Tesi, Ferrara 1987. 1061 Karl Mayrhofer: Inhalt und Mass. Springer 1952. P. Muldowney: The infinite-dimensional Henstock integral and problems of Black-Scholes expectation. J. Appl. Analysis 8/1 (2002), 1-21. M. Munroe: Introduction to measure and integration. Addison-Wesley 1953. Paul Nahin: Inside interesting integrals. Springer 2014, 440p. Eur 38. John von Neumann: Invariant measures. AMS 1999, 130p. $41. J. Oxtoby: Measure and category. Springer 1980. J. Oxtoby/S. Ulam: Measure preserving homeomorphisms and metrical transitivity. Ann. Math. 42 (1941), 874-920. E. Pap (ed.): Handbook of measure theory. 2 volumes. North-Holland 2002, 1640p. $310. "Das aus zwei schön ausgestatteten Bänden bestehende Werk ist eine bemerkenswerte Publikation ... Nachschlagewerk mit hohem Standard, das jedem mit Maßtheorie Befaßten bestens empfohlen werden kann." (R. Viertl) 17523 K. Parthasarathy: Introduction to probability and measure. Hindustan Book 2005, 340p. Eur 24. G. Pederson: Analysis now. Springer 1988, 280p. DM 98. Seems to be an extremely interesting book, in a steep run through real analysis and functional analysis. 17823 B. Pettis: On the extension of measures. Ann. Math. 54 (1951), 186-197. Washek Pfeffer: The Riemann approach to integration. Cambridge UP 1993, 290p. 0-521-44035-1. Pds. 30. The MacShane integral for Lebesgue integration. David Pollard/F. Topsoe: A unified approach to Riesz type representation theorems. Studia Math. 54 (1975), 173-190. H. Priestley: Introduction to integration. Oxford UP 1997, 310p. 0-19-850123-4. Pds. 40. M. Rao: Measure theory and integration. Dekker 2004, 760p. $185. " ... can be warmly recommended to a broad spectrum of readers ... " (EMS Newsletter), but reviewer probably did not look at the price which would suggest rather a narrow spectrum of buyers. 26166 Joseph Rosenblatt: Review of the book "The joys of Haar measure" by J. Diestel/A. Spalsbury. Bull. AMS ... (2015), 6p. Dietmar Salamon: Measure and integration. EMS 2016, 360p. Eur 48. 19020 Anton Schep: And still one more proof of the Radon-Nikodym theorem. Am. Math. Monthly 110 (2003), 536-538. 19019 Anton Schep: Addendum to "And still one more proof of the Radon-Nikodym theorem". Internet 2006, 2p. 17774 Klaus Schmidt: On a result of Cobzsas on the Hahn decomposition. Arch. Math. 39 (1982), 564-567. Understanding the Radon-Nikodym theorem. 17790 Irving Segal/Ray Kunze: Integrals and operators. Springer 1978, 370p. 19021 Thomas Sellke: Yet another proof of the Radon-Nikodym theorem. Am. Math. Monthly 109 (2002), 74-76. M. Simonnet: Measures and probabilities. Springer 1996, 510p. DM 68. K. Stromberg: The Banach-Tarski paradox. Am. Math. Monthly 86 (1979), 151-161. 16664 Francis Edward Su: The Banach-Tarski paradox. Internet 1990, 30p. 23548 Terence Tao: An introduction to measure theory. Internet 2012, 265p. Flemming Topsoe: Compactness in spaces of measures. Studia Math. 36 (1970), 195-212. Flemming Topsoe: Topology and measure. Springer LN Math. 133 (1970). Flemming Topsoe: Further results on integral representations. Studia Math. 55 (1976), 239-245. 17822 Flemming Topsoe: Supplement on construction of measures. Internet ca. 2004, 19p. Stanislaw Ulam: Zur Masstheorie in der allgemeinen Mengenlehre. Fund. Math. 16 (1930), 140-150. G. Vitali: Sul problema delle misure dei gruppi di punti di una retta. Bologna 1905. A. Van Daele: The Lebesgue integral without measure theory. Am. Math. Monthly 97 (1990), 912-915. 1060 D. Vladimirov: Boolesche Algebren. Berlin 1978. 16697 Stan Wagon: The Banach-Tarski paradox. Cambridge UP 1994, 250p. $13. Hans Weber: Fortsetzung von Maßen mit Werten in uniformen Halbgruppen. Arch. Math. 27 (1976), 412-423. 17844 Hans Weber: Two extension theorems. Modular functions on complemented lattices. Czech. Math. J. 52/127 (2002), 55-74. 19017 Wolfgang Wefelmeyer/Martin Elsner: Wahrscheinlichkeitstheorie. Vorlesung (Wefelmeyer) Univ. Siegen 1998, 43p. Knappe, aber sehr brauchbare Darstellung. Enthält Forts kurzen Beweis des Satzes von Radon-Nikodym mit Hilfe des Zornschen Lemmas. 6233 A. Zaanen: Continuity, integration and Fourier theory. Springer 1989, 250p. 3-540-50017-0. DM 48. "Dieses schoene und ueberaus nuetzliche Lehrbuch ist eine Einfuehrung in die Integrationstheorie, in die Theorie der Fourier-Reihen und in die harmonische Analyse. [...] Das Werk wirkt wie aus einem Guss, es ist bestens lesbar und erfuellt in jeder Hinsicht seine Aufgabe. Es kann vorbehaltslos empfohlen werden." (F. Schnitzer)