Tall, David Orme
Overview
Works:  57 works in 263 publications in 2 languages and 4,470 library holdings 

Genres:  Biography Bibliography Conference papers and proceedings Anecdotes History Scores and parts Musical settings 
Roles:  Author, Editor, Arranger 
Classifications:  QA247, 512.74 
Publication Timeline
.
Most widely held works about
David Orme Tall
Most widely held works by
David Orme Tall
The foundations of mathematics by
Ian Stewart(
Book
)
36 editions published between 1977 and 2015 in English and held by 818 WorldCat member libraries worldwide
The transition from school to university mathematics is seldom straightforward. Students face a schism between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching firstyear undergraduates and researching the ways in which students and mathematicians think. This book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process, using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilondelta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proofs lead to amazing new ways of defining, proving, visualising, and symbolising mathematics beyond previous expectations.  Back cover
36 editions published between 1977 and 2015 in English and held by 818 WorldCat member libraries worldwide
The transition from school to university mathematics is seldom straightforward. Students face a schism between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching firstyear undergraduates and researching the ways in which students and mathematicians think. This book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process, using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilondelta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proofs lead to amazing new ways of defining, proving, visualising, and symbolising mathematics beyond previous expectations.  Back cover
Algebraic number theory by
Ian Stewart(
Book
)
29 editions published between 1979 and 2000 in English and held by 733 WorldCat member libraries worldwide
29 editions published between 1979 and 2000 in English and held by 733 WorldCat member libraries worldwide
Complex analysis : the hitchhiker's guide to the plane by
Ian Stewart(
Book
)
26 editions published between 1983 and 2004 in 3 languages and held by 578 WorldCat member libraries worldwide
26 editions published between 1983 and 2004 in 3 languages and held by 578 WorldCat member libraries worldwide
Algebraic number theory and Fermat's last theorem by
Ian Stewart(
Book
)
19 editions published between 2001 and 2016 in English and held by 396 WorldCat member libraries worldwide
One of the latest mathematical discoveries was the proof, by Andrew Wiles, of Fermat's last theorum, a 300year old conjecture that had eluded professional mathematicians as well as serious amateurs. This revised edition introduces all elements necessary for understanding Wiles' proof
19 editions published between 2001 and 2016 in English and held by 396 WorldCat member libraries worldwide
One of the latest mathematical discoveries was the proof, by Andrew Wiles, of Fermat's last theorum, a 300year old conjecture that had eluded professional mathematicians as well as serious amateurs. This revised edition introduces all elements necessary for understanding Wiles' proof
Advanced mathematical thinking by
David Orme Tall(
Book
)
24 editions published between 1991 and 2005 in English and Undetermined and held by 384 WorldCat member libraries worldwide
This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Its three main parts focus on the nature of advanced mathematical thinking, the theory of its cognitive development, and reviews of cognitive research. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. The reviews of recent research concentrate on cognitive development and conceptual difficulties with the notions of functions, limits, infinity, analysis, proof, and the use of the computer. They provide a wide overview and an introduction to current thinking which is highly appropriate for the college professor in mathematics or the general mathematics educator
24 editions published between 1991 and 2005 in English and Undetermined and held by 384 WorldCat member libraries worldwide
This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Its three main parts focus on the nature of advanced mathematical thinking, the theory of its cognitive development, and reviews of cognitive research. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. The reviews of recent research concentrate on cognitive development and conceptual difficulties with the notions of functions, limits, infinity, analysis, proof, and the use of the computer. They provide a wide overview and an introduction to current thinking which is highly appropriate for the college professor in mathematics or the general mathematics educator
How humans learn to think mathematically : exploring the three worlds of mathematics by
David Orme Tall(
Book
)
11 editions published in 2013 in English and held by 335 WorldCat member libraries worldwide
11 editions published in 2013 in English and held by 335 WorldCat member libraries worldwide
Functions of a complex variable by
David Orme Tall(
Book
)
13 editions published between 1970 and 1990 in English and held by 214 WorldCat member libraries worldwide
13 editions published between 1970 and 1990 in English and held by 214 WorldCat member libraries worldwide
Percy Grainger by
John Bird(
Book
)
6 editions published in 1982 in English and Undetermined and held by 68 WorldCat member libraries worldwide
6 editions published in 1982 in English and Undetermined and held by 68 WorldCat member libraries worldwide
Intelligence, learning and understanding in mathematics : a tribute to Richard Skemp(
Book
)
4 editions published in 2002 in English and Spanish and held by 50 WorldCat member libraries worldwide
4 editions published in 2002 in English and Spanish and held by 50 WorldCat member libraries worldwide
Computers in the mathematics curriculum : a report of the Mathematical Association(
Book
)
2 editions published in 1992 in English and held by 34 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 34 WorldCat member libraries worldwide
Functions of a complex variable by
David Orme Tall(
Book
)
6 editions published in 1970 in English and held by 24 WorldCat member libraries worldwide
6 editions published in 1970 in English and held by 24 WorldCat member libraries worldwide
Country gardens; piano solo [English Morris dance tune by
Percy Grainger(
)
11 editions published between 1988 and 1993 in 3 languages and held by 22 WorldCat member libraries worldwide
11 editions published between 1988 and 1993 in 3 languages and held by 22 WorldCat member libraries worldwide
Proceedings of the third International Conference for the Psychology of Mathematics Education, Warwick University 914 July
1979 by
International Conference for the Psychology of Mathematics Education(
Book
)
9 editions published between 1979 and 1980 in English and held by 17 WorldCat member libraries worldwide
9 editions published between 1979 and 1980 in English and held by 17 WorldCat member libraries worldwide
Supergraph : the powerful graphdrawing package by
David Orme Tall(
Book
)
2 editions published in 1985 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 1985 in English and held by 10 WorldCat member libraries worldwide
Graphic calculus by
David Orme Tall(
Book
)
4 editions published in 1986 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 1986 in English and held by 8 WorldCat member libraries worldwide
Building and testing a cognitive approach to the calculus using interactive computer graphics by
David Orme Tall(
Book
)
6 editions published in 1986 in English and held by 7 WorldCat member libraries worldwide
6 editions published in 1986 in English and held by 7 WorldCat member libraries worldwide
Understanding the calculus by
David Orme Tall(
Book
)
2 editions published between 1987 and 1992 in English and held by 7 WorldCat member libraries worldwide
2 editions published between 1987 and 1992 in English and held by 7 WorldCat member libraries worldwide
Lord Maxwell's goodnight : for male voice choir a cappella by
Percy Grainger(
)
4 editions published between 1990 and 1993 in English and Undetermined and held by 7 WorldCat member libraries worldwide
4 editions published between 1990 and 1993 in English and Undetermined and held by 7 WorldCat member libraries worldwide
Memories of Wellingborough Grammar School 19301975. by
David Orme Tall(
Book
)
1 edition published in 2006 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 6 WorldCat member libraries worldwide
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Algebraic number theory Band music, ArrangedScores Band musicScores and parts Calculus CalculusComputerassisted instruction CalculusStudy and teaching Choruses, Secular (Mixed voices, 4 parts), Unaccompanied Choruses, Secular (Women's voices, 2 parts), Unaccompanied Cognition Cognition in children Composers Computerassisted instruction Dance music England Fermat's last theorem Folk dance music Folk songs, English Functions of complex variables Grainger, Percy, Great Britain Knowledge, Theory of Logic, Symbolic and mathematical Mathematics MathematicsComputerassisted instruction MathematicsPhilosophy MathematicsPsychological aspects MathematicsStudy and teaching MathematicsStudy and teachingPsychological aspects Morris dances Orchestral music, Arranged Part songs Part songs, English Piano music Piano music, Arranged Piano music (4 hands) Piano music (4 hands), Arranged Piano music (Pianos (2), 8 hands), Arranged Piano music (Pianos (2), 8 hands)Parts Piano music (Pianos (2)) Piano music (Pianos (2)), Arranged Piano music (Pianos (2)), ArrangedScores Piano musicScores Piano musicSimplified editions Popular instrumental music Skemp, Richard R Thought and thinking United States Vocal duets with piano Vocal trios with piano Wellingborough Grammar School