LEADER 00907nam0-22003131i-450- 001 990004795750403321 005 20150203143820.0 035 $a000479575 035 $aFED01000479575 035 $a(Aleph)000479575FED01 035 $a000479575 100 $a19990604d1943----km-y0itay50------ba 101 0 $aita 105 $ay-------001yy 200 1 $aChristianisme et dèmocratie$fpar Jacques Maritain 210 $aNew York$cEditions de la Maison française$dc1943 215 $a108 p.$d20 cm 225 1 $aCivilisation 610 0 $aDemocrazia$aConcezione cristiana 610 0 $aCristianesimo$aPolitica 676 $a194 700 1$aMaritain,$bJacques$f<1882 ?1973> 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990004795750403321 952 $aP.1 9F MARIT 6$bR.Bibl. 18.286$fFLFBC 959 $aFLFBC 996 $aChristianisme et démocratie$929739 997 $aUNINA LEADER 05593 am 22007333u 450 001 9910136292503321 005 20230621141339.0 010 $a1-78374-145-7 010 $a1-78374-144-9 035 $a(CKB)3710000000588019 035 $a(EBL)4391547 035 $a(SSID)ssj0001689523 035 $a(PQKBManifestationID)16532328 035 $a(PQKBTitleCode)TC0001689523 035 $a(PQKBWorkID)15058793 035 $a(PQKB)10762456 035 $a(MiAaPQ)EBC4391547 035 $a(MnU)OTLid0000476 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/32648 035 $a(PPN)270288279 035 $a(EXLCZ)993710000000588019 100 $a20160811h20162016 uy 0 101 0 $aeng 135 $aurmn#---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced problems in mathematics $epreparing for university /$fStephen Siklos 210 $cOpen Book Publishers$d2016 210 1$aCambridge, England :$cOpen Book Publishers,$d2016. 210 4$d©2016 215 $a1 online resource (174 pages) : illustrations ; digital, PDF file(s) 225 0 $aOBP Series in Mathematics 300 $aDescription based upon print version of record. 311 08$aPrint version: 9781783741427 327 $aAbout this book -- STEP -- Worked Problems ; Worked problem 1 ; Worked problem 2 ; Problems-- ?a P1 An integer equation P2 Partitions of 10 and 20 P3 Mathematical deduction P4 Divisibility P5 The modulus function P6 The regular Reuleaux heptagon P7 Chain of equations P8 Trig. equations P9 Integration by substitution P10 True or false P11 Egyptian fractions P12 Maximising with constraints P13 Binomial expansion P14 Sketching subsets of the plane P15 More sketching subsets of the plane P16 Non-linear simultaneous equations P17 Inequalities P18 Inequalities from cubics P19 Logarithms P20 Cosmological models P21 Melting snowballs P22 Gregory's series P23 Intersection of ellipses P24 Sketching x m ( 1 - x ) n P25 Inequalities by area estimates P26 Simultaneous integral equations P27 Relation between coefficients of quartic for real roots P28 Fermat numbers P29 Telescoping series P30 Integer solutions of cubics P31 The harmonic series P32 Integration by substitution P33 More curve sketching P34 Trig sum P35 Roots o ?a f a cubic equation P36 Root counting P37 Irrationality of e P38 Discontinuous integrands P39 A difficult integral P40 Estimating the value of an integral P41 Integrating the modulus function P42 Geometry P43 The t substitution P44 A differential-difference equation P45 Lagrange's identity P46 Bernoulli polynomials P47 Vector geometry P48 Solving a quartic P49 Areas and volumes P50 More curve sketching P51 Spherical loaf P52 Snowploughing P53 Tortoise and hare P54 How did the chicken cross the road? P55 Hank's gold mine P56 A chocolate orange P57 Lorry on bend P58 Fielding P59 Equilibrium of rod of non-uniform density P60 Newton's cradle P61 Kinematics of rotating target P62 Particle on wedge P63 Sphere on step P64 Elastic band on cylinder P65 A knock-out tournament P66 Harry the calculating horse P67 PIN guessing P68 Breaking plates P69 Lottery P70 Bodies in the fridge P71 Choosing keys P72 Commuting by train P ?a 73 Collecting voles P74 Breaking a stick P75 Random quadratics -- Syllabus 330 $aThis book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional offers. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader?s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics. 410 0$aOBP series in mathematics ;$vvolume 1. 606 $aMathematics$xStudy and teaching (Higher) 606 $aCalculus$vProblems, exercises, etc 606 $aGeometry$vProblems, exercises, etc 610 $ageometry 610 $acalculus 610 $aprobability and statistics 610 $aundergraduate mathematics course 610 $astep examinations 610 $aadvanced mathematical problems 610 $aImaginary unit 610 $aStationary point 610 $aTrigonometric functions 615 0$aMathematics$xStudy and teaching (Higher) 615 0$aCalculus 615 0$aGeometry 676 $a510.711 700 $aSiklos$b Stephen$0854865 712 02$aOpen Book Publishers. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 801 2$bUkMaJRU 906 $aBOOK 912 $a9910136292503321 996 $aAdvanced problems in mathematics$91908998 997 $aUNINA