WorldCat Identities

Tall, David Orme

Overview
Works: 69 works in 289 publications in 3 languages and 4,902 library holdings
Genres: Fiction  Juvenile works  Children's audiobooks  History  Motion picture music  Musical settings  Songs  Action and adventure fiction  Art music  Arrangements (Music) 
Roles: Author, Editor, Arranger, Other
Publication Timeline
.
Most widely held works by David Orme Tall
The foundations of mathematics by Ian Stewart( Book )

42 editions published between 1977 and 2017 in English and Polish and held by 896 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 first-year 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 epsilon--delta 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 )

31 editions published between 1979 and 2000 in English and held by 735 WorldCat member libraries worldwide

Complex analysis : the hitchhiker's guide to the plane by Ian Stewart( Book )

30 editions published between 1983 and 2004 in English and Spanish and held by 579 WorldCat member libraries worldwide

This is a very successful textbook for undergraduate students of pure mathematics. Students often find the subject of complex analysis very difficult. Here the authors, who are experienced and well-known expositors, avoid many of such difficulties by using two principles: (1) generalising concepts familiar from real analysis; (2) adopting an approach which exhibits and makes use of the rich geometrical structure of the subject. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation
Algebraic number theory and Fermat's last theorem by Ian Stewart( Book )

22 editions published between 2001 and 2016 in English and held by 423 WorldCat member libraries worldwide

One of the latest mathematical discoveries was the proof, by Andrew Wiles, of Fermat's last theorum, a 300-year 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 )

25 editions published between 1991 and 2005 in English and Undetermined and held by 391 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 )

12 editions published in 2013 in English and held by 357 WorldCat member libraries worldwide

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level. Traces mathematical development from child to adult ; Encourages a common framework useful for researchers across different fields ; Looks at teaching, curriculum, and cognitive development in elementary school through postgraduate research.--Publisher website
Functions of a complex variable by David Orme Tall( Book )

13 editions published between 1970 and 1990 in English and held by 213 WorldCat member libraries worldwide

Walt Disney's The jungle book by Rudyard Kipling( Recording )

3 editions published in 1996 in Undetermined and English and held by 101 WorldCat member libraries worldwide

Presents the adventures of Mowgli, a boy reared by a pack of wolves, and the wild animals of the jungle
Percy Grainger : a catalogue of the music by David Orme Tall( Book )

2 editions published in 1982 in English and held by 63 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 49 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 32 WorldCat member libraries worldwide

Functions of a complex variable by David Orme Tall( Book )

5 editions published in 1970 in English and held by 23 WorldCat member libraries worldwide

Proceedings of the third International Conference for the Psychology of Mathematics Education, Warwick University 9-14 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

Country gardens : for SATB choir a capella by Percy Grainger( )

7 editions published between 1988 and 1989 in 3 languages and held by 14 WorldCat member libraries worldwide

Functions of a complex variable by David Orme Tall( Book )

3 editions published in 1970 in English and held by 11 WorldCat member libraries worldwide

Supergraph : the powerful graph-drawing package by David Orme Tall( Book )

2 editions published in 1985 in English and held by 9 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 9 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

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

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

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.50 (from 0.27 for Walt Disne ... to 0.87 for Graphic ca ...)

The foundations of mathematics
Alternative Names
David Orme Tall

David Tall British Mathematical educator

Tall, D. O.

Tall, D. O. 1941-

Tall, D. O. (David Orme)

Tall, David

Tall, David 1941-

Tall, David O. 1941-

Tall, David Orme.

Tall, David Orme 1941-

デイヴィッド・トール

Languages
English (219)

Spanish (2)

Polish (1)

Covers
Complex analysis : the hitchhiker's guide to the planeAlgebraic number theory and Fermat's last theoremAdvanced mathematical thinkingIntelligence, learning and understanding in mathematics : a tribute to Richard Skemp