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  • 1
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    Advanced Problems in Mathematics : Preparing for University (2016)
    Cambridge, UK : Open Book Publishers
    Details
    Keywords: advanced mathematical problems ; STEP examinations ; undergraduate mathematics course ; calculus ; geometry ; probability and statistics
    Description / Table of Contents: 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. 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.
    Pages: Online-Ressource (X, 174 Seiten)
    ISBN: 9781783741441
    URL: https://doi.org/10.11647/OBP.0075
    Language: English
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  • 2
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    Equivalence of vacuum Yang-Mills gravitation and vacuum Einstein gravitation (1978)
    Springer
    Details
    Publication Date: 1978-10-01
    Print ISSN: 0001-7701
    Electronic ISSN: 1572-9532
    Topics: Physics
    Published by Springer
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    PAPER CURRENT
  • 3
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    The adiabatic invariance of the action variable in classical dynamics (2006)
    Institute of Physics
    Details
    Publication Date: 2006-12-11
    Print ISSN: 0143-0807
    Electronic ISSN: 1361-6404
    Topics: Physics
    Published by Institute of Physics
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  • 4
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    On the asymptotics of a class of two-dimensional Fourier integrals (1999)
    Institute of Physics
    Details
    Publication Date: 1999-01-01
    Print ISSN: 0305-4470
    Electronic ISSN: 1361-6447
    Topics: Mathematics , Physics
    Published by Institute of Physics
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  • 5
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    Local freedom in the gravitational field (1997)
    Institute of Physics
    Details
    Publication Date: 1997-07-01
    Print ISSN: 0264-9381
    Electronic ISSN: 1361-6382
    Topics: Physics
    Published by Institute of Physics
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  • 6
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    Travelling through time (1979)
    Springer Nature
    Details
    Publication Date: 1979-06-01
    Print ISSN: 0028-0836
    Electronic ISSN: 1476-4687
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Published by Springer Nature
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  • 7
    Electronic Resource
    Electronic Resource
    Travelling through time (1979)
    [s.l.] : Nature Publishing Group
    Nature 279 (1979), S. 655-655 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Time Warps, the most recent addition to Dr Gribbin's list of popular science books, is about time and time-travel. It is broad in its scope; it begins with ia discussion of time-telling through the ages, ends with an excursion into Taoist philosophy and the / Ching, and touches on Special ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/279655a0
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  • 8
    Electronic Resource
    Electronic Resource
    Equivalence of vacuum Yang-Mills gravitation and vacuum Einstein gravitation (1978)
    Springer
    General relativity and gravitation 9 (1978), S. 879-887 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In the Yang-Mills formulation of gravitational dynamics based uponSL(2,C) spin transformations acting on Dirac spinors, the vacuum field equations are ζR κα +C κρασ R ρσ = 0 and and $$\triangledown _{\left[ {\kappa ^R \lambda } \right]v} = 0$$ . HereR κα is the Ricci curvature andC μκαν is the Weyl conformal curvature; ξ is a coupling constant. We show the equivalence between solutions of these equations and the vacuum Einstein equationsR κα = 0. The proof uses the Newman-Penrose formalism.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00759647
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  • 9
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    Advanced Problems in Mathematics (2021)
    Open Book Publishers
    Details
    Publication Date: 2024-04-04
    Description: "This new and expanded edition 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 for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and 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 anyone interested in advanced mathematics. "This new and expanded edition 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 for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and 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 anyone interested in advanced mathematics.
    Keywords: Mathematics ; Elementary Problems ; make sense of the world ; mathematics beyond the classroom ; Mental Skills ; Arithmetic ; Word Problems ; Algebra ; Geometry ; Infinity ; thema EDItEUR::P Mathematics and Science::PB Mathematics ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBM Geometry ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics ; thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy ; thema EDItEUR::P Mathematics and Science::PB Mathematics ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBM Geometry ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics ; thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy
    Language: English
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