['< sod >\'\'\'mathematics\'\'\'( from [ [ ancient greek | greek ] ] μαθημα\'\' mathema\'\', “ knowledge, study, learning ” ) is the study of topics such as [ [ quantity ] ] ( [ [ number ] ] s ), < ref name = " oed " > { { cite web | url = http : / / oed. com / view / entry / 114974 | title = mathematics,\'\' n.\'\' | publisher = oxford university press | work = oxford english dictionary | year = 2012 | accessdate = june 16, 2012 | quote = the science of space, number, quantity, and arrangement, whose methods involve logical reasoning and usually the use of symbolic notation, and which includes geometry, arithmetic, algebra, and analysis. } } < / ref > [ [ mathematical structure | structure ] ], < ref name = " kneebone " > { { cite book | title = mathematical logic and the foundations of mathematics : an introductory survey | publisher = dover | author = kneebone, g. t. | year = 1963 | pages = [ https : / / books. google. com / books? id = tcxxf4vbxccc & pg = pa4 4 ] | isbn = 0 - 486 - 41712 - 3 | quote = mathematics & nbsp ;... is simply the study of abstract structures, or formal patterns of connectedness. } } < / ref > [ [ space ] ], < ref name = oed / > and [ [ calculus | change ] ]. < ref name = " latorre " > { { cite book | title = calculus concepts : an informal approach to the mathematics of change | publisher = cengage learning | first1 = donald r. | last1 = latorre | first2 = john w. | last2 = kenelly | first3 = sherry s. | last3 = biggers | first4 = laurel r. | last4 = carpenter | first5 = iris b. | last5 = reed | first6 = cynthia r. | last6 = harris | year = 2011 | page = [ https : / / books. php google. com / books? id = 1ebu2tij4qsc & pg = pa2 2 ] | isbn = 1 - 4390 - 4957 - 2 | quote = calculus is the study of change — how things change, and how quickly they change. } } < / ref > < ref name = " ramana " > { { cite book | title = applied mathematics | publisher = tata mcgraw – hill education | author = ramana | year = 2007 | page = [ https : / / books. google. com / books? id = xcrc6bekhiic & pg = sa2 – pa10 2. 10 ] | isbn = 0 - 07 - 066753 - 5 | quote = the mathematical study of change, motion, growth or decay is calculus. } } < / ref > < ref name = " ziegler " > { { cite book | title = an invitation to mathematics : from competitions to research | publisher = springer | author = ziegler, gunter m. | authorlink = gunter m. ziegler | year = 2011 | pages = [ https : / / books. google. com / books? id = 9tatftevevyc & pg = pr7 7 ] | isbn = 3 - 642 - 19532 - 6 | chapter = what is mathematics? } } < / ref > there is a range of views among mathematicians and philosophers as to the exact scope and [ [ definition of mathematics ] ]. < ref name = mura / > < ref name = runge / > <! - - < < < please do not change the opening sentence without discussion ; much time and discussion have been invested in its current form. - - > < eod > < sod >\'\'\'mathematics\'\'\'( from [ [ ancient greek | greek ] ] μαθημα\'\' mathema\'\', “ knowledge, study, learning ” ) is the study of topics such as [ [ quantity ] ] ( [ [ number ] ] s ), < ref name = " oed " > { { cite web | url = http : / / oed. com / view / entry / 114974 | title = mathematics,\'\' n.\'\' | publisher = oxford university press | work = oxford english dictionary | year = 2012 | accessdate = june 16, 2012 | quote = the science of space, number, quantity, and arrangement, whose methods involve logical reasoning and usually the use of symbolic notation, and which includes geometry, arithmetic, algebra, and analysis. } } < / ref > [ [ mathematical structure | structure ] ], < ref name = " kneebone " > { { cite book | title = mathematical logic and the foundations of mathematics : an introductory survey | publisher = dover | author = kneebone, g. t. | year = 1963 | pages = [ https : / / books. google. com / books? id = tcxxf4vbxccc & pg = pa4 4 ] | isbn = 0 - 486 - 41712 - 3 | quote = mathematics & nbsp ;... is simply the study of abstract structures, or formal patterns of connectedness. } } < / ref > [ [ space ] ], < ref name = oed / > and [ [ calculus | change ] ]. < ref name = " latorre " > { { cite book | title = calculus concepts : an informal approach to the mathematics of change | publisher = cengage learning | first1 = donald r. | last1 = latorre | first2 = john w. | last2 = kenelly | first3 = sherry s. | last3 = biggers | first4 = laurel r. | last4 = carpenter | first5 = iris b. | last5 = reed | first6 = cynthia r. | last6 = harris | year = 2011 | page = [ https : / / books. google. com / books? id = 1ebu2tij4qsc & pg = pa2 2 ] | isbn = 1 - 4390 - 4957 - 2 | quote = calculus is the study of change — how things change, and how quickly they change. } } < / ref > < ref name = " ramana " > { { cite book | title = applied mathematics | publisher = tata mcgraw – hill education | author = ramana | year = 2007 | page = [ https : / / books. google. com / books? id = xcrc6bekhiic & pg = sa2 – pa10 2. 10 ] | isbn = 0 - 07 - 066753 - 5 | quote = the mathematical study of change, motion, growth or decay is calculus. } } < / ref > < ref name = " ziegler " > { { cite book | title = an invitation to mathematics : from competitions to research | publisher = springer | author = ziegler, gunter m. | authorlink = gunter m. ziegler | year = 2011 | pages = [ https : / / books. google. com / books? id = 9tatftevevyc & pg = pr7 7 ] | isbn = 3 - 642 - 19532 - 6 | chapter = what is mathematics? } } < / ref > there is a range of views among mathematicians and philosophers as to the exact scope and [ [ definitions of mathematics | definition of mathematics ] ]. < ref name = mura / > < ref name = runge / > <! - - < < < please do not change the opening sentence without discussion ; much time and discussion have been invested in its current form. - - > < eod >']