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| 001 | xb23988514 | ||
| 006 | m d | ||
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| 008 | 160211t20162016enk s 000 0 eng d | ||
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_a9781783741441 _q(pdf) |
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| 020 |
_a9781783741458 _q(epub) |
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| 020 |
_a9781783741465 _q(mobi) |
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| 020 | _z9781783741427 (pbk.) | ||
| 022 | _a2397-1134 (Online) | ||
| 022 | _z2397-1126 (Print) | ||
| 035 | _a(OCoLC)993551796 | ||
| 040 |
_aStSaUL _beng _erda |
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| 100 | 1 |
_aSiklos, S. T. C., _eauthor. |
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| 245 | 1 | 0 |
_aAdvanced problems in mathematics _h[electronic resource] : _bpreparing for university / _cStephen Siklos. |
| 264 | 1 | _bOpen Book Publishers, | |
| 300 | _a1 online resource (186 pages) | ||
| 490 | 1 |
_aOBP series in mathematics _x2387-1134 ; _vvol. 1 |
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| 500 | _a"Please note that in this book the mathematical formulas are encoded in MathML. While reading the HTML version, you can right-click on any of the formulas to display the underlying code."--Publisher's website. | ||
| 500 | _aAvailable through Open Book Publishers. | ||
| 505 | 0 | _aAbout this book -- STEP -- Worked Problems ; Worked problem 1 ; Worked problem 2 ; Problems -- 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 of 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 P73 Collecting voles P74 Breaking a stick P75 Random quadratics -- Syllabus | |
| 506 | _aOpen access resource providing free access. | ||
| 520 | _a"This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics. 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."--Publisher's website. | ||
| 538 | _aMode of access: World Wide Web. | ||
| 540 | _aThis work is licensed under a Creative Commons Attribution 4.0 International license (CC BY 4.0). For more detailed information consult the publisher's website. | ||
| 650 | 0 |
_aCalculus _vProblems, exercises, etc. |
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| 650 | 0 |
_aGeometry _vProblems, exercises, etc. |
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| 650 | 0 |
_aMathematics _vProblems, exercises, etc. |
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| 650 | 0 |
_aMathematics _xStudy and teaching (Higher) |
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| 650 | 0 |
_aProbabilities _xProblems, exercises, etc. |
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| 710 | 2 |
_aOpen Book Publishers, _epublisher. |
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| 830 | 0 |
_aOBP series in mathematics ; _vv. 1. _x2387-1134 |
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| 856 | 4 | 0 |
_uhttp://doi.org/10.11647/OBP.0075 _zConnect to e-book |
| 856 | 4 | 2 |
_uhttp://www.openbookpublishers.com/shopimages/products/cover/342 _zConnect to cover image |
| 999 |
_c29063 _d29063 |
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