Foundations of the theory of probability

CHELSEA BOOKSON STATISTICS

THE CALCULUS OFFINITE DIFFERENCES ByCharles

Jordan

1947,Secondedition,xxi+ 652 pages,

5V&

x814.

$5.50

".

..destinedtoremaintheclassictreatmentofthesubject...formanyyearsto

come.

"Inaword,ProfessorJordan'sworkisamostreadableanddetailedrecord

oflecturesonthe

CalculusofFiniteDifferenceswhichwillcertainlyappealtremendously

tothestatisticianand

whichcouldhavebeenwrittenonlybyonepossessingadeep

appreciationofmathematical

statistics."

—

HarryC.Carver,Founderandformerly

EditoroitheANNALSOFMATHEMATICAL

Statistics.

AHISTORYOFTHEMATHEMATICALTHEORY

OFPROBABILITY

By I.Todhunter

640

pages, 514 inches

by 8 inches,previouslypublishedat$8.00. $4.95

Hundredsofproblemsinvestigatedbythefoundersanddevelopersof

mathematicalprob-

abilityandthemethodstheyusedareexplainedand

comparedinTodhunter'scelebratedtreatise.

Manyproblemsinprobability

andstatisticsthatarethoughttobenewwereactuallysolvedby

theseoriginalthinkers,andthesolutions—inconsiderabledetail—aretobefoundinTodhunter's

book.

"It[is]acomprehensivetreatiseontheTheoryofProbability,foritintroduces[thereader]

toalmosteveryprocessandeveryspeciesofproblemwhichtheliterature

ofthesubjectcan

furnish."(Preface.)

ASYMPTOTISCHEGESETZE DERWAHRSCHEINLICHKEITSRECHNUNG

ByA.Khintchine

1933,

82 pages, 5

l

/ 2

x

8y

2

inches,paper,originallypublished

at$3.85. $2.00

".

..Khintchinechooseswithcare,fromamongmanyresults,onlythosewhichbytheir

contentandmethodoftreatmentcontributemosttotheuniformityofthe...theory.Of

the

otherfinepointsoftheexpositionafew..•.arehisdiligenceinpointingoutinterrelationships

...

hisgivingshortsketchesofproofsbeforehand...andmakingsimplificationsinsuchawaythat

theideaoftheproofcomesoutasclearlyaspossible.Themonographis,forthesereasons,

unusuallyattractiveandinspiring."

—

ActaSzeged.

THETHEORYOFMATRICES By C.C.MacDuffee

Secondedition. 116 pages6x9inches,publishedoriginallyat$5.20. $2.75

Thisimportantworkpresentsaclearandcomprehensivepictureofpresentdaymatrix

theory.Theauthorcoverstheentirefieldofmatrixtheory,correlatingandintegratingthe

enormousmassofresultsthathavebeenobtainedinthesubject.Awealthofnewmaterialis

incorporatedinthetextandtherelationshipofthevarioustopicstothefieldasawholeis

carefullydelineated.

"Nomathematicallibrarycanaffordtobewithoutthisbook."

—

BulletinoftheAmericanMathematicalSociety.

ERGODENTHEORIE ByE.

Hopf

1937,

89

pages, 5

l

/ 2

x8*4inches. $2.75

"Measure-theoreticviewpointsarepreferredovertopologicalonesthroughoutbecause,as

theauthorsays,ergodictheoryisstatisticsandstatisticsismeasuretheory.

"...chapteronstatisticsofmappingsandfluxes...interestingexamplesworkedout...

'individual'ergodictheory,thebasisofwhichisBirkhoff'stheorem...applicationstotheLaw

ofLargeNumbers,Wiener'stheoremonthe

spectrum

of

'randomfunctions'...investigationsof

theauthorongeodeticflow..

."

—

Belav.Sz.Nagy,ActaSzeged.

VORLESUNGENt)BERREELLE

FUNKTIONEN ByC.Caratheodory

2nd.,latestcomplete,edn., 728
pp.,

5%x

8V2,

originallypublishedat$11.60.$6.95

DETERMINANTENTHEORIE

EINSCHLIESSLICHDERFREDHOLMSCHENDETERMINANTEN

ByG. Kowaletvski

Thirdedition,
1942,

328 pages, 5

l

/ 2

x

8,

originallypublishedat$6.00. $4.25

Fromthereviewsofearliereditions:

"aclassicinitsfield...excellenttreatise...remarkablyelegantandlucid....Thechoice

ofsubjects...hasbeenguidedbyatruesenseofvalues,notbyamereloveofformaldevelop-

ments...expository

powers

...of

thefirstorder."

—

Bulletinofthe

AmericanMathematicalSociety.

GRUNDLAGEN

DERANALYSIS By E.Landau

1930, 159 pages,5%x8,originallypublishedat$4.00.

$2.75

"Certainlynoclearertreatmentofthefoundationsofthenumbersystemcanbeoffered....

Neverbeforehasthissubjectbeentreatedwithsuchexplicitness.Onecanonlybethankfultothe

authorforthisfundamental

piece

of

expositionwhichisalivewithhisvitalityandgenius."

—

J.

F.

Ritt,AmericanMathematicalMonthly.

ThestudentwhowishestolearnmathematicalGerman

will

find

thisbookideallysuitedto

hisneeds.LessthanfiftyGermanwordswillenablehimtoreadthe

entire

book

withonlyan

occasionalglanceatthevocabulary!*

*

AcompleteGerman-Englishvocabularyhasbeenadded.