[ { "id": "https://authors.library.caltech.edu/records/mhd23-e0z22", "eprint_id": 43489, "eprint_status": "archive", "datestamp": "2023-08-19 02:18:05", "lastmod": "2023-10-25 23:35:27", "type": "book", "metadata_visibility": "show", "creators": { "items": [ { "id": "Bateman-H", "name": { "family": "Bateman", "given": "Harry" } } ] }, "title": "Tables of Integral Transforms", "ispublished": "unpub", "full_text_status": "public", "note": "Based, in part, on notes left by Harry Bateman Late Professor of Mathematics, Theoretical Physics, and Aeronautics at the California Institute of Technology and compiled by the Staff of the Bateman Manuscript Project.\n\nPrepared at the California Institute of Technology under Contract No. N6onr-244 Task Order XIV with the Office of Naval Research. \n\nProject Designation Number: NR 043-045.\n\nThis work is dedicated to the memory of HARRY BATEMAN\nas a tribute to the imagination which\nled him to undertake a project of this\nmagnitude, and the scholarly dedication\nwhich inspired him to carry it so far\ntoward completion.\n\nIt is a pleasant duty to express the thanks of the California Institute\nof Technology to the family of the late Professor Bateman for the gift\nof his notes and library, and to the Office of Naval Research for the\ngenerous support they have given to this work, and for the understanding\nthey have constantly shown for the difficulties encountered. The Institute\nalso wishes to record its appreciation and thanks to the late Professor\nA.D. Michal for his preliminary survey of Bateman's notes; to the University of Edinburgh for granting leave of absence to the undersigned;\nto the Rockefeller Foundation for making a grant towards traveling\nexpenses; and to the McGraw-Hill Company for technical advice and\npublication.\nThe Editor wishes to acknowledge his indebtedness to practically\nall the published integral tables which have been consulted in the course\nof the work on the present tables; and he wishes to express his thanks\nto his colleagues, especially the Research Assistants who played such\nan important part in the compilation.\nCorrections of errors, additions, and suggestion for improvement will\nbe gratefully received by the Editor.\n\n
Published - Volume_1.pdf
Published - Volume_2.pdf
", "abstract": "A considerable proportion of the tremendous amount of material collected by the late Professor Harry Bateman concerns definite integrals. The organization and presentation of this material is a very difficult task to which Bateman devoted considerable attention. It is fairly clear that the arrangement used in shorter tables of integrals is not very suitable for a collection about three times the size of Bierens de Haan, and the circumstance that a considerable proportion of these integrals involves higher transcendental functions with their manifold and not always highly standardized notations, does not make this task easier. Eventually, Bateman decided to break up his integral tables into several more or less self-contained parts, classifying integrals according to their fields of application. A collection of integrals occurring in the theory of axially symmetric potentials was prepared, and other similar collections were to follow. Clearly such a plan involves a generous amount of duplication if the resulting tables are to be self-contained, but it also has great advantages from the user's point of view.", "date": "1954", "date_type": "published", "publisher": "McGraw-Hill Book Company", "place_of_pub": "New York", "id_number": "CaltechAUTHORS:20140123-101456353", "isbn": "9780070195493", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20140123-101456353", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Office of Naval Research", "grant_number": "N6onr-244 Task Order XIV" } ] }, "contributors": { "items": [ { "id": "Magnus-W", "name": { "family": "Magnus", "given": "W." } }, { "id": "Oberhettinger-F", "name": { "family": "Oberhettinger", "given": "F." } }, { "id": "Tricomi-F-G", "name": { "family": "Tricomi", "given": "F. G." } }, { "id": "Bertin-D", "name": { "family": "Bertin", "given": "David" } }, { "id": "Fulks-W-B", "name": { "family": "Fulks", "given": "W. B." } }, { "id": "Harvey-A-R", "name": { "family": "Harvey", "given": "A. R." } }, { "id": "Thomsen-D-L-Jr", "name": { "family": "Thomsen", "given": "D. L., Jr" } }, { "id": "Weber-M-A", "name": { "family": "Weber", "given": "Maria A." } }, { "id": "Whitney-E-L", "name": { "family": "Whitney", "given": "E. L." } }, { "id": "Erd\u00e9lyi-Arthur", "name": { "family": "Erd\u00e9lyi", "given": "A." } } ] }, "corp_creators": { "items": [ "Bateman Manuscript Project" ] }, "primary_object": { "basename": "Volume_1.pdf", "url": "https://authors.library.caltech.edu/records/mhd23-e0z22/files/Volume_1.pdf" }, "related_objects": [ { "basename": "Volume_2.pdf", "url": "https://authors.library.caltech.edu/records/mhd23-e0z22/files/Volume_2.pdf" } ], "resource_type": "book", "pub_year": "1954", "author_list": "Bateman, Harry" }, { "id": "https://authors.library.caltech.edu/records/cnd32-h9x80", "eprint_id": 43491, "eprint_status": "archive", "datestamp": "2023-08-19 02:07:25", "lastmod": "2023-10-25 23:35:35", "type": "book", "metadata_visibility": "show", "creators": { "items": [ { "id": "Bateman-H", "name": { "family": "Bateman", "given": "Harry" } } ] }, "title": "Higher Transcendental Functions [Volumes I-III]", "ispublished": "unpub", "full_text_status": "public", "note": "Based, in part, on notes left by Harry Bateman Late Professor of Mathematics, Theoretical Physics, and Aeronautics at the California Institute of Technology and compiled by the Staff of the Bateman Manuscript Project. \n\nPrepared at the California Institute of Technology under Contract No. N6onr-244 Task Order XIV with the Office of Naval Research. \n\nProject Designation Number: NR 043-045. \n\nThis work is dedicated to the memory of HARRY BATEMAN as a tribute to the imagination which led him to undertake a project of this magnitude, and the scholarly dedication which inspired him to carry it so far toward completion. \n\nThe California Institute of Technology wishes to express its thanks both to the family of the late Professor Bateman for the gift of his notes and of his library, and to the Office of Naval Research and especially to Dr. Mina Rees, the Director of its Mathematical Sciences Division, for the generous support they have given to this work and for the understanding they have constantly shown for the difficulties encountered. \n\nThe Institute also wishes to record its appreciation and thanks to the following persons and organizations: to Professor Michal for his preliminary survey of Bateman's notes; to the University of Edinburgh for granting leave of absence to Dr. Erd\u00e9lyi; to the Rockefeller Foundation for defraying travelling expenses for Dr. and Mrs. Erd\u00e9lyi on their visit in 1947-48; to the University of Turin for granting leave of absence to Professor Tricomi; to Professors T. M. Apostol of the California Institute, R. C. Archibald of Brown University, E. D. Rainville of the University of Michigan, Mr. S. O. Rice of the Bell Telephone Laboratories, and Professor C. A. Truesdell of Indiana University for information or consultations in connection with the work; and to the McGraw-Hill Company for technical advice and publication. Last but not least, acknowledgments should be expressed to Dr. Erd\u00e9lyi and the staff of the Bateman Manuscript Project for the faithful and highly competent performance of a difficult task.\n\nPublished - Volume_1.pdf
Published - Volume_2.pdf
Published - Volume_3.pdf
Erratum - Errata-volume2.pdf
Erratum - Errata.pdf
", "abstract": "The work of which this book is the first volume might be described as an up-to-date version of Part II. The Transcendental Functions of Whittaker and Watson's celebrated \"Modern Analysis\". Bateman (who was a pupil of E. T. Whittaker) planned his \"Guide to the Functions\" on a gigantic scale. In addition to a detailed account of the properties of the most important functions, the work was to include the historic origin and definition of, the basic formulas relating to, and a bibliography for all special functions ever invented or investigated. These functions were to be catalogued and classified under twelve different\nheadings according to their definition by power series, generating functions, infinite products, repeated differentiations, indefinite integrals, definite integrals, differential equations, difference equations, functional\nequations, trigonometric series, series of orthogonal functions, or integral equations. Tables of definite integrals representing each function and numerical tables of a few new functions were to form part of the \"Guide\". An extensive table of definite integrals and a Guide to numerical tables of special functions were planned as companion works.", "date": "1953", "date_type": "published", "publisher": "McGraw-Hill Book Company", "id_number": "CaltechAUTHORS:20140123-104529738", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20140123-104529738", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Office of Naval Research (ONR)", "grant_number": "N6onr-244, Task Order XIV" } ] }, "contributors": { "items": [ { "id": "Magnus-Wilhelm", "name": { "family": "Magnus", "given": "Wilhelm" } }, { "id": "Oberhettinger-Fritz", "name": { "family": "Oberhettinger", "given": "Fritz" } }, { "id": "Tricomi-Francesco-G", "name": { "family": "Tricomi", "given": "Francesco G." } }, { "id": "Bertin-David", "name": { "family": "Bertin", "given": "David" } }, { "id": "Fulks-W-B", "name": { "family": "Fulks", "given": "W. B." } }, { "id": "Harvey-A-R", "name": { "family": "Harvey", "given": "A. R." } }, { "id": "Thomsen-D-L-Jr", "name": { "family": "Thomsen", "given": "D. L., Jr." } }, { "id": "Weber-Maria-A", "name": { "family": "Weber", "given": "Maria A." } }, { "id": "Whitney-E-L", "name": { "family": "Whitney", "given": "E. L." } }, { "id": "Erd\u00e9lyi-Arthur", "name": { "family": "Erd\u00e9lyi", "given": "Arthur" } } ] }, "corp_creators": { "items": [ "Bateman Manuscript Project" ] }, "primary_object": { "basename": "Errata-volume2.pdf", "url": "https://authors.library.caltech.edu/records/cnd32-h9x80/files/Errata-volume2.pdf" }, "related_objects": [ { "basename": "Errata.pdf", "url": "https://authors.library.caltech.edu/records/cnd32-h9x80/files/Errata.pdf" }, { "basename": "Volume_1.pdf", "url": "https://authors.library.caltech.edu/records/cnd32-h9x80/files/Volume_1.pdf" }, { "basename": "Volume_2.pdf", "url": "https://authors.library.caltech.edu/records/cnd32-h9x80/files/Volume_2.pdf" }, { "basename": "Volume_3.pdf", "url": "https://authors.library.caltech.edu/records/cnd32-h9x80/files/Volume_3.pdf" } ], "resource_type": "book", "pub_year": "1953", "author_list": "Bateman, Harry" } ]