[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-441512-105":59,"doc-detail-441512-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","mathematics-magazine-vol30-no3-jan-feb-1957","MATHEMATICS MAGAZ'INE - Vol.30 - No.3 - Jan.-Feb. 1957","","This issue presents scholarly mathematics content and editorial information for MATHEMATICS MAGAZ'INE, including publication details, subscription and correspondence addresses, and departmental materials. The contents list major articles such as “Mathematic and Reality” in classic and modern perspectives, topics on intrinsic derivatives of generalized order, pseudo-multiplicative functions, and educational challenges, alongside mathematical notes covering dimensional analysis, homogeneous functions, geometry in N-dimensional Euclidean space, and classical derivations.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":15,"@type":76,"position":81},"https://docshare.wps.com/document/literature/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/mathematics-magazine-vol30-no3-jan-feb-1957/441512/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/mathematics-magazine-vol30-no3-jan-feb-1957/441512.png","ImageObject",300,407,{"name":92,"@type":93},"Well Done","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What volume and issue information does this magazine cover?","Question",{"text":112,"@type":113},"It is MATHEMATICS MAGAZ'INE, Vol.30, No.3, dated Jan.-Feb. 1957.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What sections are listed in the table of contents?",{"text":117,"@type":113},"The contents include main research articles, miscellaneous notes, problems and questions, and a section for “Our Contributors.”",{"name":119,"@type":110,"acceptedAnswer":120},"Where does the magazine instruct readers to send editorial and business correspondence?",{"text":121,"@type":113},"Editorial correspondence is addressed to the managing editor, and subscriptions and business correspondence should be sent to Inez James at 14068 Van Nuys Blvd., Pacoima, California.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},441512,1791309564,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":14,"category_name":15,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},5909892210082,"https://ap-avatar.wpscdn.com/avatar/56001069da27c9f41e8?x-image-process=image/resize,m_fixed,w_180,h_180&k=1789614185077863061","Vol.30,No.3,Jan.-Feb.1957  \nmdgazin  \nMATHEMATICS MAGAZ'INE  \nFo rmerly National Mathematics Maga zine,founded by S T.Sanders  \nEDI TORI AL STAFF  \nW.E.ByrneC.K.RobbinsHomer W.CraigNilos SakellariouRene Maurice FrechetJoseph SeidlinR.F.HortonC.N.Shuster  \nD.H.HyersC.D.SmithGlenn JamesMarion F.Stark  \nN.E.NorlundV.Thebault  \nA.W.Riches onC.W.Trigg  \nGlenn James,Man aging Editor,14068 Van Nuys Blvd.,Pacoima,Calif.  \nAddress editorial correspondence to Glenn James,special papersto the editors of the departments for which they are incended,andgeneral papers to a member of the executive committee.  \nwith 1”.margins.We prefer that,in technical papers,the usual in-troduction be preceded by a Foreword which states in simple termswhat the paper is about.  \nThe Mathematics Magazine is published at Pacoima,California by theman aging editor,bi-mon thly except July-August.Ordinary subscriptionsare  yr。53.00;2 yrs.$5.75;3 yrs.58.50;4 yrs.s11.00;5 yrsS13.00.Sponsoring Bubacriptions are $10.00;single copies 65d.Re-Prints,bound 1d perpage plus 104 each,provided your order isplaced before your article goes to press。  \nSubscriptions and other business corre spondence should be sent toInez James,14068 Van Nuys Blvd.,Pacoima,California。  \nEntered as second-clas s matter March 23,1948 at the Post OfficePacoima,California,under act of Congress of March 8,1876.  \nSPON SORING SUBSCRI BERS  \nHubert A.ArnoldJ.Gin sbergEar1 D.Rainville  \nE.F.BeckenbachMerton T.GoodrichJohn Teckzeh  \nH.W.BeckerReino W.HakalaFrancis ReganClifford BellM.B.HestenesCh arles K.RobbinsRaymond F.BellRobert B.Herrera1..B.Ro binsonFrank BoehmDonald H.HyersS.T.San ders  \nH.V.CraigGlenn Jame sC.N.Shuster  \nMATHEMATICS MAGAZINE  \nVOL.30,No.3,Jan.· Feb. 1957  \nCONTENTS  \nPage  \nMathematic and Reality(A classic view)  \nOliver E.Glenn ……………………………………………………………  \n……………………………117  \nMathematics and Reality(A modern vieu)  \nHm h M11  \nnugh Mler…………………………………………………………………………………………………………………127  \nOn The Intrinsic Derivative of Generalized Order  \nHiroyoshi Sasayama ……………………………………………………………135  \nPseudo-Multiplicative Functions  \nRichard R. Goldberg……………………………………………………  \n………………………………145  \nThe Computer's Challenge to Education  \nClarence B. Hilberry ………………………………………………………………………………………………149  \nMiscell aneous Notes, edited by  \nCharles K. Robbins  \nDimen sional Analysis and Homogeneous Functions  \nAlbert Wilansky………………………………………………………………………154  \nVolume and Surface of a Sphere in an N-Dimensional  \nEuclidean Space  \nHenry Zat zkis ………………  \n………………………………155  \n····  \nA Direct Derivation of the Equation of the  \nDirector Circle of an Ellipse  \nA.K.Rajagopal……………………………………………………………………………158  \nA Generalization of Wilson's Theorem  \nFred G. Elston ………………………………………  \n………………………………………………159  \nProblems and Questions, edited by  \nRobert E.Horton...·. …………………………………………………163  \nOur Contributors……………………  \n………………………………(over)  \n# OUR CONTRIBUTORS\n\nOliver E.Glenn was born in Swit zerland County,Indiana(nearVevay)in 1878.His college education was at the University of Indiana(B.A.'02,M.A.''03),and he was appointed Harrison Fellow forgraduate study at the University of Pennsylvania(Ph.D.'05).He taughtwith pro fessorial rating from 1905 to about 1929,and since has beenan independent scientist and Writer.His record is listed in Burke'sLanded Gentry(London)for 1939.Among his favorite subjects of re-search and publication are invariant theory and its applications toorbit theory;al so the theory of the halo phenomenon,and of Saturn'srings.  \nRichard R.Goldberg ieceived his formal education at North-western University(B.S.’51)and at Harvard University(M.A.’52;PH.D.'56),where he wrote his doctoral dissertation on integraltransforms.For the past year and a half he has been working as amathematician in the Atomic Power Division of the WestinghouseElectric Corporation.  \nFriedrich G.Elston was born in Berlin,Germany in 1895,where hegraduated from the humanist Mommsen Gymnasium.He studied at theUniversities of Freiburg,Berlin,and Breslau(Dr.J","cbCaiv6yzwzXi9AF","https://ap.wps.com/l/cbCaiv6yzwzXi9AF","pdf",2875484,64,"English","# Contents\n## Mathematic and Reality (A classic view)\n## Mathematics and Reality (A modern vieu)\n## On The Intrinsic Derivative of Generalized Order\n## Pseudo-Multiplicative Functions\n## The Computer's Challenge to Education\n## Miscellaneous Notes (edited by Charles K. Robbins)\n## Dimensional Analysis and Homogeneous Functions\n## Volume and Surface of a Sphere in an N-Dimensional Euclidean Space\n## A Direct Derivation of the Equation of the Director Circle of an Ellipse\n## A Generalization of Wilson's Theorem\n## Problems and Questions (edited by Robert E. Horton)\n## Our Contributors","[{\"question\":\"What volume and issue information does this magazine cover?\",\"answer\":\"It is MATHEMATICS MAGAZ'INE, Vol.30, No.3, dated Jan.-Feb. 1957.\"},{\"question\":\"What sections are listed in the table of contents?\",\"answer\":\"The contents include main research articles, miscellaneous notes, problems and questions, and a section for “Our Contributors.”\"},{\"question\":\"Where does the magazine instruct readers to send editorial and business correspondence?\",\"answer\":\"Editorial correspondence is addressed to the managing editor, and subscriptions and business correspondence should be sent to Inez James at 14068 Van Nuys Blvd., Pacoima, California.\"}]","MATHEMATICS MAGAZ'INE - Vol.30 - No.3 - Jan.-Feb. 1957 | PDF",1790696358,99]