Table Of Content

Complete Pure Mathematics for Cambridge International AS & A Level Second Edition Oxford excellence for Cambridge AS & A Level ORD yw ‘aypiee \ sucerep | \ PROGRESS / We ensure every Cambridge learner can... Aspire We ete every etree reget re een) cotiuenrietaranriecegent dremee eaves ners, subject expercs and exarniers Succeed We br:ng our esteemed academic staneards to your classroom and pack our resources with effective exar: preparation You cen trus ‘Oxford resources te sccurc the Lest results, Progress We embed eri:cal :hir-cng ski..s into our ouraging students to think indeperdently from an esrly age and building foumdlations for fanare success Find out more www.oxfordsecondary.com/cambridge OXFORD Complete Pure Mathematics for Cambridge International AS & A Level Second Edition Oxford excellence for Cambridge AS & A Level OXFORD retake fone semicon oor aos Contents Algebra 1G Suehngtiner pagieottetann ast Un Fhe rennin hewn 15 Telntorticuem Logarithms and exponential functions 2 These etn 25 Ginggrtimateratescqetbestinarnen 33 Trigonometry 40 3 Double ae 3s ‘Mains n reat: Preaeting Waal behaviour 72 Differentiation es 2 Dirsuriningrisnew's aprthactineioe Integration 9 ata fs te Sa magna os eputonohdaiar ean eer 99 5.1 tling agg gone ene 102 ‘Numerical solution of equations “7 Wathetn reales Nature of mathematics 34 Further algebra 336 shan aie nt ports ince va Hiab apie tearm 4 ° shee ase ge 2 Bel npc se pul ae Further integration 1 Inogton ing pt ictine 25 toons HL 23 taggaton sgt Vectors 4.4 The eto se Differentiat equations Complex numbers 1 Taig emp 1:3 Stinger cope bas 1 Repesnsnpompls vanes pete Maths neater Electing, magnetic dap nos complex mathemati takes te sipler 354 Introduction About this book FFs bls hes heen write to cia the Cambridge AS & A level International ‘Mathematics (9709) course ands ful aligned ‘the eplaus, Ube fests chapters ote booke cover maetilapplrable to aoth Pure 2 cad Pico, an the fral ve chapters coue= Sure 3 sslarial only sn adition tothe min curvicam conten, you vl ind Malcesine pipes Tranny in Wiscouse re ln the rea vod, 2 Chopler ope ers, which online cess lop i te Canricge 9709 sll woe Did ysurhin? oven (as anon alo), inde sve ite de-tesba scope othe 9 ahs, ‘Shen ic he vig nates mz “ ‘vice on calculator ‘neoughoul the Book, you will emcounle= worked exieslesand akesl o“ngereus exersites Une examples show you he importact echoinyes teed Ince pes ans. The persines an erly grades slaty fom susie lve and going upto exam sands allowing you senty of opnortu=ses to practise yourshils,“egether, (ae exzmpces an’ exurieee ‘ulmi hs ing reabwoekd conlex, with 9 xuly inleraalonal ec. A testat ofa ehaptes, on wil ee Fs ‘dest ses thabare crated in the ple. Thaseubjectives are dr rn the Cand Sand level splebus, Fach chaotehegir's vsith a Rafe yo star seston and finishas wich s.Sueumary exercise and Chapter sonmnary, ensuring tht you “ly uzderstun each topic. Fach chapser covtalns key mathematica’ terms ‘improve unde-stand ng highlighted in colour, "sth fll dacitlovs provided in txe G oszary of sermvs athe end af the 3005 he emswors given athe back of the ou ane concise, Joweves, when answering exameste qucslioes you shoe“ shew as many steps sp you: workieg possible Ml ename ‘avcelions 8 wel. as evans pagers 2, 2h ‘and 58, have boom rit. by the ath. About the authors rian Westerm 106 aver il years “experience in teching methematice tap to A Teva and bap ad in so highly experianced exannine Fhe cg sna Headsescher 12 large numberof mathematics texthooks. tls and Far Je allem, ad a Aosta school. Prin nas tritan and consulted an a James Nicholson s an experiescod teacher af ma heemties at ssconary level having ash Jor 2 your al Llaraow Scwol aed spe 13 yess 35 ead of Mathematics in lerge Relic: grammar school. Hei =36:thor several 4 Tevel text, a-daditar ofthe Cancie Oxford Pictionary a Mather ates. He has als contributes toa aurrber of other sets af n experi fctad asa coneulnt Fer LK governman agen exon accreditation of nes fieainns, riculur= end asessrrent mate“ als, esamiver ans as Tecan Timsky has hoon 9 machetes tsecher for over 36 years, as wall {5 Heed of Mathematics in Wetord, Herts and isalsoan exper erced =ratmine Jean has autharad ad consaed on wamcrous mathematics Anote fram the authors “Tr his un $i nlp sens pp othe Phe Poo Pe us of He Canrie Foret sal AS ul Teed emi pan, hough 1 maya be usin providing supers mats fr chor as nul Level conse, she Bek conic Rage number of many of which are exunsiyi sgustons, Treen te fe a owns oe ni expences tach imatheatis urd Parther muta & Level ar may paras well eave rm mn enor io ‘Student book & Cambridge matching ar ‘Student Book: Complete Pure Mathematics 2&3 for Cambridge Intemational AS & A Level Syllabus: Cambridge International AS & A Level Mathematics: Pure Mathematics 2 & 3 (9709) PURE MATHEMATI Student Book Syllabus cvorow Unit P2: Pure Mathematics 2 (Paper 2) ‘emg o Peseta an carats rayne camara ero 4. Algebra ueatrs lh show aye 2 Bek eb ow aad eealsnoa inet. i sort dogs nexus 4. whew oe eames | Fags2 17 fai ae vn aed : becrsnars Perera reve, 2a. to nd beers esieasieemil | Fagus 1 2. Logarithmic and exponential functions * unlestrd te waibra Ueto eget sd ples, 276 ose he asf ages 2-39 ees ote ane x ielg te ins is andinaicsin ie Pe urcommapeoorin ines use ecard oe oar oes wr nen doer ee UNIVERSITY © mating ts {sicceen ) \ukoenss 3._ Trigonometry “insite he arene ha enter, eaeaeant and areger sine ans targent ane se pecpertes aro gprs of seg atony magne {ee goon nna isa frchesnctin and at wen ees hin i aro of coh salon, se alan ey ora bs poo a2 ing ian pers 58 neworane, | osgn aE ugoeements nc vecepansins Tort, oot # 8 are Lm & relegate ss 2, 08 24 alan 24 4._ Differentiation use teoetaiie ows 208 O38 a eGR AE co oS, cme | Page cea ilerwos aw samples 4+ tna ane usa atatacrueki nt etinaton uhh Rectncalrateereatycr moichy. | HesRSEA aD 5._Integration ud be cee moron fine it We cele Ow tage ate 6 Sapa ne ina +8, cost + Chal oc foe = 6 Pomiadypef Ue aera mat rar by eobe i “ors {+ use raovemerkal wales py waco wu ‘aps 16 syioe ouncione eu 38 co + we Iotaceduy ne weuiras ve wine's dete next cage 6 6._Numerical solution of equations “beats somioe wate oer tan enon, by “eere co greares| rsomatens reir | VaQa 1/16 serch glrasinenrge ‘+ uriootad ds ides oad vee Porcini, ssewusrceetsorraxivalzrember | Page wei owayes toa root ar eet + unieotad "cy 2 er sirpisiteais virus oer 3, =F aa Page 199 760 brseqave” org eva ene use g senior, eraniisater sts3e of 5% faaraparsy ao eden eral. oeeeroe dee o cu Ieonksiyool Be cens.cn br osimowates 2. sded. ler dease e.s crv ton iy a too ee ‘Student book & Cambridge matching ar Unit P3: Pure Mathematics (Paper 3) “ewan a Pr cnn crund 21 ape an cana aon oa weege manzvarna q.esione ie afeynsra|ctcegise rat ceed” SoH Us ce ane wal de jen nes be ou er hoor 9. else Pos 17 + wey chou toe ard hor Frage Polos aq.a.craer audalo urea exede + ecu onacpeprine cna pare tee ¢ eee) lorie ot raloed, bs. aarti te ewan ee 2._Lagarithmie and exponential functions on nests oe wtoeouena ere aes 10 + iow ogesthrasta save agatora the ka #*—b,anc sm 1 use cgarchrs 9 easter a ges atcrshipf nse fs, ard ene deen age 19-29 uate Pane 18 30