A concise history of analytical accounting

examining the use of mathematical notions in our discipline

Autores/as

  • Richard Mattessich

DOI:

https://doi.org/10.26784/issn.1886-1881.v2i2.230

Palabras clave:

Historia de la contabilidad analítica, uso de nociones matemática, álgebra matricia, information perspectiva, teoría matemática de la agencia

Resumen

Este trabajo ofrece una sucinta revisión de los métodos de matemática analítica empleados en teneduría de libros y contabilidad durante los últimos cinco milenios. Sin embargo, el énfasis se centra en la segunda mitad del siglo XX, en el cual el uso de ideas matemáticas, de conceptos formales y de técnicas es cuando verdaderamente floreció. Aparte de un uso creciente del interés compuesto y de los cálculos del valor actual, las últimas se refinaron grandemente con la introducción de variables probabilísticas, de modelos estocásticos, de errores en términos estadísticos (como se encuentran, por ejemplo, en la versión ampliada y perfeccionada de la clean surplus theory). Pero este período (de los últimos 50 años más o menos) comenzó propiamente con modelos contables deterministas (que han probado su valor práctico últimamente en el desarrollo de hojas de cálculo electrónicas y sistemas presupuestarios). Hubo asimismo mucha experimentación con álgebra lineal y no lineal (incluyendo el álgebra matricial) y otras técnicas de investigación operativa, así como en métodos de muestreo estadístico contable que han probado su utilidad particularmente en la auditoría. Con todo, el logro intelectual culminante fue el lento pero impactante desarrollo de las posibilidades de información (information perspective) ofrecidas por la contabilidad (incluyendo información económica, la perfeccionada versión de la clean surplus theory y la teoría matemática de la agencia. Estos esfuerzos han sido resumidos recientemente en la obra en dos volúmenes de Christensen y Feltham (2003, 2005).

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Alchian, A. A. and H. Demsetz (1972): "Production, information costs, and economic organization", American Economic Review, December, 777-795.

Albach, Horst (1965): "Grundgedanken einer synthetischen Bilanztheorie" (Basic thoughts to a synthetic balance sheet theory), Zeitschrift für Betriebswirtschaft, 35, 21-31.

Alexander, Sydney S. (1948): "Income measurement in a dynamic economy", Contribution of the Study Group on Business Income, AICPA (reprinted in Five Monographs on Business Income , New Yo rk, NY: Study Group on Business Income, American Institute of Accountants, 1950 and in a modified version in W. T. Baxter and S. Davidson, eds., Studies in Accounting Theory, London, 1962, 126-217).

Antoni, Tito (1996): "Leonardo de Pisa" (Leonardo Pisano) (Fibonacci 11??-12??), in M. Chatfield and R. Vangermeersch, eds., The history of accounting-An international encyclopedia, New York, NY: Garland Publishing, Inc., 377-379.

Archer, Simon (1993): "On the methodology of constructing a conceptual framework for financial accounting", in Michael J. Mumford and Kenneth V. Peasnell, eds., Philosophical Perspectives on Accounting --Essays in Honour of Edward Stamp , London, UK: Routledge, 1993, 62-122 (see also Accounting, Business and Financial History 2, September 1992 and March 1993, 199-228 and, 81-108 respectively).

Arkin, Herbert (1984): Handbook of sampling for auditing and accounting, New York, NY: McGraw-Hill.

Aukrust, Odd (1955): Nationalregnskap-Teoretske Prinsipper (National income accounting-Theoretical principles). Oslo: Statistik Centralburå.

Ávila, H.E., G. Bravo and E.R. Scarano (1988): An axiomatic foundation of accounting, Working Paper, Buenos Aires: Institute of Accounting Research, University of Buenos Aires.

Baiman, Stanley (1975): "The evaluation and choice of internal information systems within a multiperson world", Journal of Accounting Research, 13, Spring, 1-15.

https://doi.org/10.2307/2490646

Baiman, Stanley (1984): "Agency research in managerial accounting: A survey", in R. Mattessich, ed., Modern Accounting Research: History, Survey, and Guide, Vancouver, BC: Canadian Certified General Accountants' Research Foundation, 251-294 (Originally published in the Journal of Accounting Literature, 1, Spring 1982, 154-213).

Baiman, Stanley (1991): ·Agency research in managerial accounting: A second look", in R. Mattessich, ed., Accounting research in the 1980s and its future relevance (and its French translation--see Preface), Canadian Certified General Accountants' Research Foundation, 221-256 (originally published in Accounting, Organizations and Society, 15, 1990, 341-371).

https://doi.org/10.1016/0361-3682(90)90023-N

Balzer, Wolfgang and Richard Mattessich (1991): "An axiomatic basis of accounting: A structuralist approach", Theory and Decision, 30, 213-243. (Japanese translation by Y. Koguchi), Keizaigaku Ronsan, 35, May 1994, 209-232). https://doi.org/10.1007/BF00132445

Balzer, Wolfgang and Richard Mattessich (2000): "Formalizing the basis of accounting", in W. Balzer, J. D. Sneed, and C. U. Moulines, eds., Structuralist Knowledge Representation-Paradigmatic Examples, Amsterdam: Rodopi, Atlanta GA (Vol. 75 of the Poznan Studies in the Philosophy of the Sciences and Humanities), 99-126.

https://doi.org/10.1163/9789004457805

Bernard, Victor (1996): "The Feltham-Ohlson framework: Implications for empiricists", Contemporary Accounting Research, 11, Spring, 733-147. https://doi.org/10.1111/j.1911-3846.1995.tb00463.x

Blackwell, D. (1951): "Comparison of experiments", Proceedings of the Second Berkeley symposium on Mathematical Statistics and Probability, Berkeley, CA: University of California Press, 93-102.

Blackwell, D. (1953): "Equivalent comparison of experiments", Annals of Mathematical Statistics, 24, 267-272.

https://doi.org/10.1214/aoms/1177729032

Brief, Richard B., ed. (see also under Preinreich) (1996): A Landmark in Accounting Theory: The work of Gabriel A. D. Preinreich, New York, NY: Garland Publishing, Inc.

Brief, Richard B. and Joel Owen (1973), "Present value models and the multi-asset problem", The Accounting Review, 48, October 1973, 690-695.

Brief, Richard B. and Kenneth V. Peasnell, eds. (1996): Clean surplus, a link between accounting and finance, New York, NY: Garland Publishing, Inc.

Brown, Carol E. and Anthony K. Wensley (1995): Expert systems in accounting, auditing, and finance: Special Issue, New York, NY: Pergamon.

Buenos Campos, E. (1974): Los sistemas de información en la empresa (Information systems of the firm), Madrid: Confederación Española de Cajas de Ahorro.

Butterworth, John E. (1967): Accounting systems and management decision: An analysis of the role of information in the managerial decision process, Berkeley, CA: Doctoral dissertation, University of California.

Canning, John B. (1929): Economics of Accountancy, a Critical Analysis of Accounting Theory, New York, NY: Ronald Press.

Carlson, Marvin L. and James W. Lamb (1981): "Constructing a theory of accounting--An axiomatic approach", The Accounting Review, 56, July, 554-573.

Cayley, Arthur (1989-1897): The collected mathematical papers of Arthur Cayley, Cambridge, UK: The University Press.

Chambers, Raymond J. (1955): "Blueprint for a theory of accounting", Accounting Research, 6, January, 17-25.

Chambers, Raymond J. (1957): " Detail for a blueprint", The Accounting Review, 32, April, 206-215.

Chambers, Raymond J. (1966): Accounting, evaluation and economic behaviour, Englewood Cliffs, NJ: Prentice- Hall, Inc. (reprinted in Accounting Classics Series, Houston, TX: Scholars Books Co., 1975).

Charnes, Abraham and William W. Cooper (1957): "Management models and industrial applications of linear programming", Management Science , 4, October, 38-91.

https://doi.org/10.1287/mnsc.4.1.38

Charnes, A. and W. W. Cooper (1961): Management models and industrial applications of linear programming, 2 vols., New York, NY: John Wiley & Sons, Inc.

Charnes, Abraham, William W. Cooper and Yuji Ijiri (1963): "Breakeven budgeting and programming to goals", Journal of Accounting Research, 1, 1, Spring, 16-41.

https://doi.org/10.2307/2489841

Chatfield, Michael (1996a): "Compound interest", in M. Chatfield and R. Vangermeersch, eds., The history of accounting: An international encyclopedia, New York, NY: Garland Publisjing, Inc.: 145.

Chatfield, Michael (1996b): "Discounted cash flow", in M. Chatfield and R. Vangermeersch, eds., The history of accounting: An international encyclopedia, New York, NY: Garland Publisjing, Inc., 208.

Chatfield, Michael and Richard Vangermeersch, eds. (1996); The history of accounting: An international encyclopedia, New York, NY: Garland Publishing, Inc.

Christensen, John A. and Joel Demski (2003): Accounting Theory--An Information Content Perspective, New York, NY: McGraw-Hill.

Christensen, Peter O., and Feltham, G. A. (2003): Economics of Accounting; Volume I: Informa tion in Markets. Boston, MA: Kluwer Academic Publishers. https://doi.org/10.1007/978-1-4615-1133-5

Christensen, Peter O., and Feltham, G. A. (2005): Economics of Accounting; Volume II: Performance Evaluation (forthcoming), Boston, MA: Kluwer Academic Publishers.

Cilloni, Andrea (2004): Economia dell' informazione e sistemi contabili aziendali (Information economics and business accounting systems), Milan: Dott. A. Giuffrè Editore.

Ciompa, Pawel (1910): Grundrisse einer Ökonometrie und die auf der Nationalökonomie aufgebaute natürliche Theorie der Buchhaltung (Outlines of an 'econometrics' and a natural theory of bookkeeping based on macro-economics), Lemberg: Poeschel Verlag.

Colebrooke, Henry T. (1817/1973). Algebra with arithmetic and mensuration from Sanskrit of Brahmegupta and Bháscara , London: John Murray (reprinted in Wies baden: Martin Sändig, 1973).

Corcoran, A. Wayne (1968): Mathematical applications in accounting, New York, NY: Harcourt, Brace and World, Inc.

Corbin, Donald A. (1962): "The revolution in accounting", The Accounting Review, 37, October, 626-635.

Cyert, Richard M. and Robert M. Trueblood (1957): Sampling techniques in accounting, New York, NY: Prentice-Hall, Inc.

Dean, Joel (1948): "Cost structures of enterprises and break-even charts", American Economic Review, March, 153- 164.

Dean, Joel (1951): Managerial economics, New York, NY: Prentice-Hall, Inc.

Dean, Joel (1954): "Measurement of real economic earnings of a machinery manufacturer", The Accounting Review, 29, April, 255-266.

Deguchi, H. and B. Nakano (1986): "Axiomatic foundations of vector accounting", Systems Research, 3, 1, 31-39.

https://doi.org/10.1002/sres.3850030105

De Morgan, August (1846): Elements of arithmetic, 5th ed., London, U.K.: Taylor and Walton, 1846 (translation into Japanese and Chinese, Ekawa-Matchi: Shizukoa Shugakujo, 1872).

Demski, Joel S. and Gerald A. Feltham (1972): "Forecast evaluation", The Accounting Review , 47, July, 533-548.

Demski, Joel S. and Gerald A. Feltham (1976): Cost determination--A conceptual approach, Ames, IO: Iowa State University Press.

Demski, Joel S. and Gerald A. Feltham (1978): "Economic incentives in budgetary control systems", The Accounting Review , 53, April, 336-359. De Pisa, Leonardo (1202): Liber abaci, Pisa.

Edwards, Edgar O. and Philip W. Bell (1961): The Theory and Measurement of Business Income, Berkeley, CA: University of California Press. https://doi.org/10.1525/9780520340626

Ewert, Ralph. and Alfred Wagenhofer, A. (1993/2003): Interne Unternehmensrechnung (Managerial accounting), Berlin: Springer Verlag (5th edition: 2003).

Feltham, Gerald A. (1967): A theoretical framework for evaluating changes in accounting information for managerial decisions (doctoral dissertation), Berkeley, CA: University of California.

Feltham, Gerald A. (1968): "The value of information", The Accounting Review, 43, October, 684-696.

Feltham, Gerald A. (1972): Information evaluation, Sarasota, FA: American Accounting Association.

Feltham, Gerald A. (1984): "Financial accounting research: Contributions of information economics and agency theory", in R. Mattessich, ed., Modern Accounting Research: History, Survey and Guide, Vancouver, BC: Canadian Certified General Accountants Research Foundation.

Feltham, Gerald A. and Joel S. Demski (1970): "The use of models in information evaluation", The Accounting Review, 45, October, 623-640.

Feltham, Gerald A. and Jim Ohlson (1995): "Valuation and clean surplus accounting for operating and financial activities", Contemporary Accounting Research, 12, Spring, 689-731.

https://doi.org/10.1111/j.1911-3846.1995.tb00462.x

Feltham, Gerald A. and Jim Ohlson (1996): "Uncertainty resolution and the theory of depreciation measurement",

https://doi.org/10.2307/2491500

Journal of Accounting Research, 34, 2, 209-234.

Financial Accounting Standards Board (1978): Objectives of financial reporting by business enterprises (Report of the Study Group on Objectives: Statement of Financial Accounting Concepts No. 1), Stamford, CT: FASB.

Fisher, Irving (1906): The nature of capital and income , London: MacMillan & Co., Ltd.

https://doi.org/10.1515/9783112351369

Florentino, Américo M. (1965): Fundamentos matemáticos da contabilidade e suas aplicações na didática, programação e análise contábil (Mathematical foundations of accounting and its educational application to programming and bookkeeping analysis), Rio de Janeiro.

Fuerst, E. (1955): "The matrix as a tool in macro-accounting", Review of Economics and Statistics 37, February.

https://doi.org/10.2307/1925395

Galassi, Giuseppe (1978): Sistemi contabili assiomatici e sistemi teorici deduttivi (Axiomatic accounting systems and theoretical deductive systems), Bologna: Patron Editore.

García García, M. (1972): "Modernas tendencias metodológicas en contabilidad" (Modern methodological accounting trends), Revista Española de Financiación y Contabilidad, I, 1, 23-44.

Gerhard, C. I., ed. (1962): G. W. Leibniz, Mathematische Schriften, Vol. VII: Meditatio juridico-mathematica de interusurio simplice, Hildesheim (reprinted from the Halle edition of 1863), 125-132.

Givens, Horace G. (1966): "Basic accounting postulates", The Accounting Review, 41, July, 458-463.

Gjesdal, F. (1981): "Accounting for stewardship", Journal of Accounting Research, Spring, 208-231.

https://doi.org/10.2307/2490970

Goetz, Billy E. (1967): "Debit, credit and input-output tables", The Accounting Review, 35, 3, July, 589-591 (in Japanese in S. Koshimura, ed. translations of contributions by several authors from North America, Daisan Shuppan, Ltd., 1969, 185-207).

Gordon, Myron J. (1960): "Scope and method of theory and research in the measurement of income and wealth", The Accounting Review, 35, October, 603-618.

Gutiérrez, J. M. (1990): "An axiomatic approach to inflation accounting", IMA Journal of Mathematics Applied in Business and Industry, 2, 197-207. https://doi.org/10.1093/imaman/2.3.197

Gutiérrez, J. M. ( 1992): "On the gearing adjustment, an axiomatic approach", Theory and Decision, 33, 207-221.

https://doi.org/10.1007/BF00133641

Gutiérrez, J. M. and G. Whittington (1997): "Some formal properties of capital maintenance and revaluation systems in financial accounting", The European Accounting Review, 6, 439-464.

https://doi.org/10.1080/713764734

Hansen, Palle (1962): The accounting concept of profit --An analysis and evaluation in the light of the economic theory of income and capital, Amsterdam: North Holland Publishing.

Harada, Fujio (1978): Joho Kakei Ron (Accounting in a New Informational Society), Tokyo: Dobunkan, Ltd.

Heina, Fritz (1925): "Die Bewertung der Anlagen in Bergbaubilanzen einschließlich der steuerlichen Behandlung der Substanzverringerung" (Evaluation of fixed capital in the mining industry including the taxation of insufficient capital maintenance), Zeitschrift für handelswissenschaftliche Forschung , 97-138.

Herde, Georg (1992): Präzisierung dreier axiomatischer Theorien des Rechnungswesens in einer formalen Typentheorie (Making three axiomatic theories more précis), doctoral dissertation (published in bookform), Bamberg, Otto-Friedrich-Universität.

Hess, Henry (1903): "Manufacturing: Capital, costs, profits, and dividends", Engineering Magazine, 26, 367-379.

Hess, Henry (1910): "Manufacturing profits and losses", Engineering Magazine, 39, 892-898.

Honko, Jaakko (1959): Yrityksen vuositulos (The annual income of an enterprise and its determination--A study from the standpoint of accounting and economics), Helsinki: Oy Weilin & Göös Ab.

Ijiri, Yuji (1965a): Goal Oriented Models for Accounting and Control, Amsterdam: North-Holland Publishing Co. (originally doctoral dissertation, Carnegie Mellon University).

Ijiri, Yuji (1965b): "Axioms and structures of conventional accounting measurement", The Accounting Review. 40, January, 36-53.

Ijiri, Yuji (1967): The Foundations of Accounting Measures, Englewood Cliffs, NJ: Prentice-Hall, Inc.

Ijiri, Yuji (1971): "Axioms for historical cost valuation: A reply", Journal of Accounting Research, 9, 1, 181-187.

https://doi.org/10.2307/2490213

Ijiri, Yuji (1975): Theory of accounting measurement, Sarasota, FA: American Accounting Association.

Ijiri, Yuji and Robert S. Kaplan (1971): "A model for integrating sampling objectives in auditing", Journal of Accounting Research, 9, 1, 73-87. https://doi.org/10.2307/2490203

Jaedicke, Robert K. (1961): "Improving break-even analysis by linear programing", N.A.A. Bulletin, Sect. 1, March.

Jensen, Michael C. and William M. Meckling (1976):" Theory of the firm: Managerial behavior, agency cost, and ownership structure", Journal of Financial Economics , 3, October, 305-360.

https://doi.org/10.1016/0304-405X(76)90026-X

Johnston, J. (1960): Statistical cost analysis, New York, NY: McGraw-Hill, Inc.

Käfer, K. (1962): Die Bilanz als Zukunftsrechnung-Eine Vorlesung über den Inhalt der Unternehmungsbilanz (The future aspect of accounting--A lecture on the content of the entrepreneurial balance sheet), Zürich: Universität Zürich.

Kempin, Walther (1910): Entwicklung der Bilanzlehre und der Abschlußtechnik (Development of accounting and the closing technique), Cologne.

Knoeppel, C. E. (1920): Graphic production control , New York: Engineering Magazine Co.

Knoeppel, C. E. (1933): Profit engineering, New York: McGraw-Hill, Inc.

Koguchi, Yoshiaki (1990): "Towards a regional water management accounting system", The Annual of the Economic Research Institute of Chuo University , 21, Tokyo, 121-150.

Koshimura, Shinzaburo, ed. (1969): Contributions to matrix accounting (Japanese translation of three papers by Mattessich [17-151], and one paper by each of the following authors: Allen B, Richards [153-173], Billy E. Goetz [175-183], A. Wayne Corcoran [185-207]), Tokyo: Daisan Shuppan, Ltd.

Kosiol, Erich (1970): "Zur Axiomatik der Theorie der Pagatorischen Erfolgsrechnung" (On the axiomatization of the theory of cash flow earnings statement), Zeitschrift für Betriebswirtschaft, 40, 135-162.

Kosiol, Erich (1978): Pagatoric theory of financial income determination, Urbana-Champaign, IL: University of Illinois, Center for Education and Research in Accounting.

Lee, C. M. C. (1999): "Accounting-based valuation: impact on business practices and research", Accounting Horizons, 13, 4, 413-425.

https://doi.org/10.2308/acch.1999.13.4.413

Leibniz, Gottfried W. (see Gerhard, C. I., ed., 1962).

Leonardo de Pisa (see De Pisa, Leonardo).

Leontief, Wassily W. (1951): The Structure of the American Economy 1919-1939 , 2nd edition, New York, NY: Oxford University Press (first edition, 1941).

Lev, Baruch (1969): Accounting and information theory, Evanston, IL: American Accounting Association.

Li, David H. (1968): Accounting, computers, management information systems, New York, NY: McGraw-Hill.

Lópes de Sá, Antonio (see Sá, Antonio, Lópes de).

Mann, John (Sir) (1903-07): "On cost or expenses", in Encyclopedia of accounting, 8 vols., G. Lisle, ed., Edinburgh: William Green & Sons, Vol. 5, 199-225.

Marschak, Jacob (1974): Economic information, decision, and prediction-Selected essays, 3 volumes. D. Reidel Publishing Company.

https://doi.org/10.1007/978-94-010-9276-0_1

Marschak, Jacob, and K. Miyasawa (1968): "Economic comparability of information systems", International Economic Review, 9, 137-174.

https://doi.org/10.2307/2525472

Marschak, Jacob and Roy Radner (1972): Economic theory of teams, New Haven, CT: Yale University Press.

Mattessich, Richard (1957): "Towards a general and axiomatic foundation of accountancy--With an introduction to the matrix formulation of accounting systems", Accounting Research 8, London, October, 328-355 (reprinted in Stephen A. Zeff, ed., The Accounting Postulates and Principles Controversy of the 1960s, New York, NY: Garland Publishing, Inc., 1982 Spanish translation in Técnica Economica, April 1958, 106-127Japanese translation in S. Koshimura, 1969, 17-79). https://doi.org/10.5926/jjep1953.17.2_79

Mattessich, Richard (1961): "Budgeting models and system simulation", The Accounting Review, 36, July, 384-397 (reprinted in T. H. Williams and C. H. Griffin, eds., Management information--A quantitative accent , Homewood, IL: Richard D. Irwin, Inc., 636-654.

Mattessich, Richard (1964a): Accounting and analytical methods--measurement and projection of income and wealth in the micro- and macro-economy , Homewood, IL: R. D. Irwin, Inc. (reprinted in the "Accounting Classics Series", Houston, Texas: Scholars Book Co., 1977; also in the "Series of Financial Classics" of Reprints on Demand, Ann Arbor: Microfilms International, 1979, still available; German version under the title: Die Wissenschaftlichen Grundlagen des Rechnungswesens, Düsseldorf: Bertelsmann Universitätsverlag, 1970; Japanese translation under the direction of Shinzaburo Koshimura, Kaikei to Bunsekiteki-Hoho Jokan , 2 vols., Tokyo: Dobunkan, Ltd., Vol. 1: 1972, Vol. 2: 1975; Spanish translation, by Carlos Luis García Casella and Maria del Carmen Ramírez de Rodríguez, Buenos Aires: La Ley, 2002).

Mattessich, Richard (1964b): Simulation of the firm through a budget computer program (in collaboration with Paul A. Zitlau and Thomas C. Schneider), Homewood, Illinois: R.D. Irwin, Inc. (reprinted in the Reprints on Demand Series, still available on special order, Ann Arbor: Microfilms International, 1979).

Mattessich, Richard (1970): Die Wissenschaftlichen Grundlagen des Rechnungswesens (Abbreviated and revised German version of Accounting and analytical methods), Düsseldorf: Bertelsmann Universitätsverlag.

Mattessich, Richard (1973): "On the axiomatic formulation of accounting: Comment on Professor S. Saito's considerations", Sangyo Keiri, 33, March, in Japanese, 70-77 and April, 71-75. (English translation in The Musashi University Journal, 21, 1/2, 1973, 77-94).

Mattessich, Richard (1995): Critique of accounting--Examination of the foundations and normative structure of accounting, Westport, CT: Quorum Books, Greenwood Publishing Group, Inc.

Mattessich, Richard (1998): "From accounting to negative numbers: A signal contribution of Medieval India to mathematics", Accounting Historians Journal, 25, 2, 129-145.

https://doi.org/10.2308/0148-4184.25.2.129

Mattessich, Richard (2000): The beginnings of accounting and accounting thought --Accounting practice in the Middle East (8000 B.C. to 2000 B.C.) and accounting thought in India (300 B.C. and the Middle Ages) , New York, NY: Garland Publishing, Inc.

Mattessich, Richard (2003): "Accounting research and researchers of the nineteenth century and the beginning of the twentieth century: an international survey of authors, ideas and publications", Accounting, Business and Financial History, 13 , 2, July, 171-205.

https://doi.org/10.1080/0958520032000084978

Mattessich, Richard (2005): "The information economic perspective of accounting-its coming of age", Vancouver, BC: Accounting Working Paper, Sauder School of Business, University of British Columbia.

Mattessich, Richard and Giuseppe Galassi (2000): "History of the spreadsheet: from matrix accounting to budget simulation and computerization", in AECA ed., Accounting and History-Selected Papers from the 8th Congress of Accounting Historians. Madrid: Asociación Española de Contabilidad y Administración: 203- 232 (Spanish translation as: Historia de la hoja de cálculo, in Revista Internacional Legis de Contabilidad & Auditoria, 18, April-July, 2004: 41-86).

McGuire, C. B. (1972): "Comparison of information structures", in C. B. McGuire R. Radner, eds., Decision and organization, Amsterdam: North-Holland: 101-130.

McHaney, R. (2000): "Spreadsheets", in R. Rojas, editor in chief, Encyclopedia of computers and computer history, vol. II, M-Z, Chicago: Fitzroy Dearborn Publishers, 728-729.

McRae, T. W. (1964): The impact of computers on accounting, New York, NY: Wiley & Sons.

Miller, M. H. and F. Modigliani (1961): "Dividend policy, growth and the caluation of shares", Journal of Business, 34, 411-433.

https://doi.org/10.1086/294442

Minor, Arthur J. (1933): "Mathematics behind the profit graph", in Profit engineering, New York: McGraw-Hill, Inc., Chpt. 15.

Mock, Theodore J. (1969): "Comparative values of information structures", Journal of Accounting Research, 7, Supplement, 124-159.

https://doi.org/10.2307/2489896

Mock, Theodore J. (1971): "Concepts of information value and accounting", The Accounting Review, 46, October, 765-778.

Mock, Theodore J. (1976): Measurement and accounting information, Sarasota, FA: American Accounting Association.

Modigliani, F. and M. H. Miller (1958): "The cost of capital, corporation finance and the theory of investment", American Economic Review, 48, 655-659.

Moonitz, Maurice (1961): The Basic Postulates of Accounting, New York, NY: American Institute of CPAs.

Moonitz, Maurice and Louis H. Jordan (1963): Accounting-An analysis of its problems, 2 vols., revised edition, New York, NY: Holt, Rinehart and Winston, Inc. (previous editions by M. Moonitz and C. C. Staehling under the same title, 1950 and 1952).

Murphy, G. J. (1996): "Mattessich, Richard V. (1922- )", in M. Chatfield and R. Vangermeersch, eds., A History of Accounting---An International Encyclopedia, New York, NY: Garland Publishing Co. Inc., 404-406.

Noreen, Eric (1988): "The economics of ethics: A new perspective on agency theory", Accounting, Organizations and Society, 13, 4, 359-370. https://doi.org/10.1016/0361-3682(88)90010-4

Ohlson, James A. (1987a): The theory of financial markets and information , New York, NY: North-Holland.

Ohlson, James A. (1987b): "On the nature of income measurement: The basic results", Contemporary Accounting Research, Fall, 1-15.

https://doi.org/10.1111/j.1911-3846.1987.tb00652.x

Ohlson, James A. (1990): "A synthesis of security valuation theory and the role of dividends, cash flows, and earnings", Contemporary Accounting Research (Spring): 648-676 (reprinted in R. Mattessich, ed., Accounting Research in the 1980s and its Future Relevance , Vancouver, BC: The Canadian General Accountants Research Foundation, 1991, 157-181.

https://doi.org/10.1111/j.1911-3846.1990.tb00780.x

Ohlson, James A. (1995): "Earnings, book values, and dividends in equity valuation", Contemporary Accounting Research, 11, Spring, 661-687. https://doi.org/10.1111/j.1911-3846.1995.tb00461.x

O'Leary, Daniel E. (1992): Expert systems in finance, Amsterdam: North-Holland.

Onida, Pietro (1970): I moderni sviluppi della dottrina contabile nord americana e gli studi di economia aziendale, Milano: Giuffrè (English version: "Modern developments of the North American accounting doctrine and the studies of business economics", in Accademia Nazionale di Ragioneria--Papers on Business Administration, Vol. I, Milano: Giuffré, 1974, 149-222).

Orbach, Kenneth N. (1978): Accounting as a mathematical measurement theoretic Discipline, College Station, TX: Texas A & E University, published, Ann Arbor, MI: University Microfilms.

Pacioli, Luca (1494): Summa di arithmetica, geometria, proportioni et proportionalita, Venice.

https://doi.org/10.5479/sil.440357.39088007406663

Parker, R. H. (1969): Management accounting: An historical perspective, London: MacMillan.

Paton, William A. (1922): Accounting theory--With special reference to the corporate enterprise, New York, NY: Ronald Press (reprinted in the Accounting Classics Series, Lawrence, KA: Scholars Book Co.).

Peasnell, Kenneth V. (1982): "Formal connections between economic values and yields and accounting numbers", Journal of Business Finance and Accounting, 9, August, 361-381.

https://doi.org/10.1111/j.1468-5957.1982.tb01001.x

Pichler, O. (1953): "Anwendung der Matrizenrechnung auf betriebswirtschaftliche Aufgaben", Ingenieur Archiv, 21, 3, 119-140.

https://doi.org/10.1007/BF00538875

Prakash, P. and Alfred Rappaport (1977): "Information inductance and its significance for accounting", Accounting, Organizations and Society, 2, 1, 28-38. https://doi.org/10.1016/0361-3682(77)90005-8

Preinreich, Gabriel A. D. (1932): "Stock yields, stock dividends and inflation", The Accounting Review, 7, December, 273-289.

Preinreich, G. A. D. (1933): "Taxation and the natural business year", The Accounting Review, 8, December, 317- 322.

Preinreich, Gabriel A. D. (1936a): "The fair value and yield of common stock", The Accounting Review, 11, March, 130-140.

Preinreich, Gabriel A. D. (1936b): "The law of goodwill", The Accounting Review, 11, December, 317-329. Preinreich, Gabriel A. D. (1937a): "Goodwill in accountancy", Journal of Accountancy, January, 28-50. Preinreich, Gabriel A. D. (1937b): "Valuation and amortization", The Accounting Review , 12, June, 209-235.

Preinreich, Gabriel A. D. (1938): "Annual survey of economic theory: The theory of depreciation", Econometrica, 6, January, 219-241.

https://doi.org/10.2307/1907053

Preinreich, Gabriel A. D. (1939): "Economic theories of goodwill", Journal of Accountancy, July, 169-180.

Preinreich, Gabriel A. D. (1941): "Note on the theory of depreciation", Econometrica, January, 80-88. https://doi.org/10.2307/1907176

Preinreich, Gabriel A. D. (edited by Richard B. Brief) (1996): A landmark in accounting theory: The work of Gabriel A. D. Preinreich, New York, NY: Garland Publishing, Inc., 1996.

Rautenstrauch, Walter (1922): "The budget as a means of industrial control", Chemical and Metallurgical Engineering, 27, 415-416.

Rautenstrauch, Walter (1930): The successful control of profits, New York, NY: B.C. Forbes.

Requena Rodríguez, J. M. (1972): "Teoría de la contabilidad: Análisis dimensional" (Accounting theory: Multi- dimensional analysis), Revista Española de Financiación y Contabilidad, I, 1, 45-53.

Requena Rodríguez, J. M. (1977): La homogeneización de magnitudes en la ciencia de la contabilidad (Homogenization of valuation in accounting theory), Madrid: Ediciones ICE.

Richards, Allen B. (1960): "Input-Output Accounting for Business", The Accounting Review, 35, 3, July, 429-36 (reprinted in Thomas H. Griffin and Charles H. Griffin, 1967, 626-635 translated in S. Koshimura, 1969, 153-173).

Rieger, Wilhelm (1928): Einführung in die Privatwirtschaftslehre (Introduction to business economics), Nürnberg.

Rosenblatt, David (1957): "On linear models and the graphs of Minkowski-Leontief matrices", Econometrica, 25, 325-328.

https://doi.org/10.2307/1910258

Rosenblatt, David (1960): "Aggregation in matrix models of resource flows II, Bolzano relation matrix methods", The American Statistician, 21, June, 32-37.

Rossi, Giovanni (1889): Lo scacchiere anglo-normanno e la scrittura in partita doppia a forma di scacchiera (The Anglo-Norman exchequer and the double-entry chessboard), Roma: Botta.

Rossi, Giovanni (1901): Teòrica matemàtica della scrittura doppia (Mathematical theory of double -entry bookkeeping), Genova.

Sá, Antonio, Lópes de (1995): "Axiomas em contabilidade científica" (Axioms in academic accounting). Informativo Cientifico Cultural 1 (Setembro--Orgâo do Centro de Estudos Superiores de Contabilidade, Belo Horizonte, Minas Gerais, Brazil), 1-5.

Saito, Shizuki (1972): "Considerations on the axiomatic formulation of accounting", (originally in Japanese) in

Kaikei , 101, 1972, 45-65; English translation in The Mushashi University Journal, 20, 81-99).

Saito, Shizuki (1973): "Further considerations on the axiomatic formulation of accounting: A reply to Prof. R. Mattessich", The Mushashi University Journal, 21, 95-107.

Savage, L. J. (1954): The foundations of statistics, New York, NY: Wiley & Sons.

Schneider, Dieter (1973): "Renaissance der Bilanztheorie?" (Renaissance of accounting theory?), Zeitschrift für betriebswirtschaftliche Forschung 25 (1): 29-58.

Schneider, Dieter (1981): Geschichte betriebswirtschaftlicher Theorie (History of the theory of business economics), München: Oldenbourg Verlag, 1981, 3rd. ed. 1987. This book has now been completely revised and is being published in four volumes under the title Betriebswirtschaftslehre, Vol. 1: Grundlagen, 1993; Vol. 2: Rechnungswesen, 1994; Vol. 3: Theorie der Unternehmung, and Vol. 4: Geschichte und Methoden-for the latter see separate entry).

Schweitzer, Marcel (1970): "Axiomatik des Rechnungswesens" (Axiomatic of accounting), in Erich Kosiol, ed., Handwörterbuch des Rechnungswesens, Stuttgart: Poeschel Verlag, 83-90.

Schweitzer, Marcel (1972): Struktur und Funktion der Bilanz (Sructure and function of the balance sheet), Berlin: Duncker & Humblot.

https://doi.org/10.3790/978-3-428-42704-8

Seicht, Gerhard (1970): Die kapitaltheoretische Bilanz und die Entwicklung der Bilanztheorie (The capital-theoretic balance sheet and the development of accounting theory), Berlin: Duncker & Humblot.

Shank, John K. (1972): Matrix methods in accounting, Reading, MA: Addison-Wesley.

Slaymaker, Adrianne E. (1996): "Conceptual framework", in Michael Chatfield and Richard Vangermeersch, eds., The History of Accounting: An International Encyclopedia,. New York, NY: Garland Publishing, Inc.: 150- 154.

Smith, Eugen, C. (1974): Application of the techniques of matrix algebra to determine consolidated net income in complex affiliations (doctoral dissertation-no further data available).

Sprouse, Robert T. and Maurice Moonitz (1962): A tentative set of broad accounting principles for business enterprises, New York, NY: American Institute of Certified Public Accountants.

Stevin, Simon (1582): Tafeln van interest (Interest tables), Antwerp.

Stigler, J.G. (1961): "The economics of information", Journal of Political Economy , 69, 213-25.

https://doi.org/10.1086/258464

Stigler, J.G. (1962): "Information in the labor market", Journal of Political Economy , 70, 5, Part 2, Supplement, 94-105.

https://doi.org/10.1086/258727

Stringer, K. W. (1961): "Some basic concepts of statistical sampling in auditing", Journal of Accountancy, November, 63-69.

Study Group of the University of Illinois (1964): A statement of basic accounting postulates and principles,

Urbana, IL: Center for International Education and Research in Accounting.

Sweeney, Henry W. (1937): "Accounting postulates: An analysis of the tentative statement of Accounting principles: Comments", The Accounting Review, 12, October, 404-406.

Thierauf, Robert J. (1990): Expert systems in finance and accounting, New York, NY: Quorum Books.

Trenchant (Jan) Jean (1558): L'Arithémique departie en troys livres, Lyons.

Trueblood, Robert M. and R. M. Cyert (1954): "Statistical sampling applied to aging of accounts receivable", Journal of Accountancy , 97, March, 293-298.

Trueblood, Robert M. and William W. Cooper (1955): "Research and Practice in Statistical Applications to Accounting, Auditing, and Management Control", The Accounting Review, 30, 221-229.

Tucker, James J. (1996): "Statistical sampling", in M. Chatfield and R. Vangermeersch, eds., The history of accounting: An international encyclopedia, New York, NY: Garland Publishing, Inc., 557-561.

Vance, Lawrence L. (1950): Scientific methods for auditing, Berkeley, CA: University of California Press.

https://doi.org/10.1525/9780520348028

Vance, Lawrence L. and John Neter (1956): Statistical sampling for auditors and accountants, New York, NY: John Wiley and Sons, Inc.

Volmer, Frans (1996): "Stevin, Simon (1548-1620)", in M. Chatfield and R. Vangermeersch, eds., The history of accounting: An international encyclopedia, New York, NY: Garland Publishing, Inc., 565-566.

Wagenhofer, Alfred (2004): "Accounting and economics: What we learn from analytical models in financial accounting and reporting", in C. Leutz, D. Pfaff, and A, Hopwood, eds., The economics and politics of accounting. Oxford: Oxford University Press, 5-31.

https://doi.org/10.1093/0199260621.003.0001

Wagenhofer, A. and R. Ewert (2003): Externe Unternehmensrechnung (Financial accounting), Berlin: Springer Verlag.

https://doi.org/10.1007/978-3-662-07161-8

Wells, Murray C. (1971): "Axioms for historical cost valuation", Journal of Accounting Research, 9, 171-180. Wells, Murray C. (1976): "A Revolution in accounting thought", The Accounting Review, 51, July, 471-482. Wenke, Klaus (1956): "Kostenanalyse mit Matrizen", Zeitschrift für Betriebswirtschaft, 26, October, 558-576.

Wenke, Klaus (1959): "On the analysis of structural properties of large scale micro-economic input output models", Reprints of the International Meeting of the Institute of Management Sciences , London: Pergamon Press.

Willett, Roger J. (1985): Accounting measurement theory, Weatherby, WY: Ph.D.-Dissertation, University of Aberdeen--British Library Documentation Supply Centre.

Willett, Roger J. (1987): "An axiomatic theory of accounting measurement" (Part I), Accounting and Business Research, 17, Spring, 155-172. https://doi.org/10.1080/00014788.1987.9729794

Willett, Roger J. (1988): "An axiomatic theory of accountin g measurement" (Part II), Accounting and Business Research, 19, Winter, 79-91. https://doi.org/10.1080/00014788.1988.9728838

Williams, John H. (1922): "A technique for chief executives", Bulletin of the Taylor Society, 51.

Williams, Thomas H. and Charles H. Griffin, eds. (1964): The Mathematical Dimension of Accounting, Cincinnati, OH: South-Western.

Williams, Thomas H. and Charles H. Griffin, eds. (1967): Management information--A quantitative accent , Homewood, IL: Richard D. Irwin.

Williamson, D. E., M. L. Wachter, and J. E. Harris (1975): "Understanding the employment relation: The analysis of idiosyncratic exchange", The Bell Journal of Economics, Spring, 119-132. https://doi.org/10.2307/3003224

Winborne, Marilynn G. (1962): Application of sets and symbolic logic to selected accounting principles and Practices, Austin, TX: Ann Arbor, MI: Doctoral dissertation, University of Michigan.

Zappa, Gino (1920-29): La determinazione del reddito nelle imprese commerciali--I valori di conto in relazione alla formazione dei bilanci (Profit Determination of Business Enterprises--Bewertung in Financial Statements), Rome: Anonima Editoriale Italiana.

Zappa, Gino (1937): Il reddito di impresa --Scritture doppie, conti e bilanci di aziende commerciali, 2nd edition (The enterprise income-double entry, accounts and balance sheets of commercial firms), Milan: A. Giuffrè (3rd printing of 2nd edition 1950).

Zeff, Stephen A., ed. (1982): The accounting postulates and principles controversy of the 1960s, New York, NY: Garland Publishing, Inc.

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2023-02-09

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Mattessich, R. (2023) «A concise history of analytical accounting: examining the use of mathematical notions in our discipline», De Computis, Revista Española de Historia de la Contabilidad, 2(2), pp. 123–153. doi: 10.26784/issn.1886-1881.v2i2.230.

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Artículos Doctrinales / Doctrinal Articles