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  • Books  (4)
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  • Algebra
  • Open Book Publishers  (3)
  • New York : Academic Press  (1)
  • English  (4)
  • 2020-2024  (3)
  • 1955-1959  (1)
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  • Books  (4)
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  • English  (4)
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  • 1
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    Unknown
    Open Book Publishers
    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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  • 2
    Publication Date: 2023-12-20
    Description: "It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works."
    Keywords: QA1-939 ; Geometry ; mathematics beyond the classroom ; make sense of the world ; Word Problems ; Algebra ; Infinity ; Mathematics ; Elementary Problems ; Mental Skills ; Arithmetic ; bic Book Industry Communication::P Mathematics & science
    Language: English
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  • 3
    Publication Date: 2024-04-04
    Description: "It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works."
    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
    Language: English
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  • 4
    Unknown
    New York : Academic Press
    Keywords: DDC 512 ; LC QA3 ; Algebra
    Pages: Online-Ressource (241 pages)
    ISBN: 9780121720506
    Language: English
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