Books on Mathematics and Mathematics Education 

Algebraic Number Theory and Fermat's Last Theorem by Ian Stewart and David Tall. This is the third edition of our Algebraic Number Theory book, now extended with new chapters on recent developments, including an outline of Andrew Wiles’ famous proof. Click here for Amazon.co.uk information. 

Intelligence, Learning and Understanding: A Tribute to Richard Skemp ed. David Tall and Michael Thomas with contributions from Dienes, van Hiele, Fischbein and many other internationally known mathematics educators. For information click here. 

Advanced Mathematical Thinking ed. David Tall
Reviews: This book can help mathematics educators place their research within a broader perspective of the development of mathematical reasoning, and it can help mathematicians see the deep connections between mathematics education research and their own teaching. Click here for Amazon.co.uk information. 

Complex Analysis Ian Stewart and David Tall
Publishers Blurb: 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 wellknown 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. Click here for Amazon.co.uk information. 

The Foundations of Mathematics Ian Stewart and David Tall
Synopsis This is a book for readers in transition from ‘school mathematics’ to the fully fledged type of thinking used by professional mathematicians. Amazon Customer Review 'The Foundations of Mathematics' is essential reading for anyone starting a mathematics degree. Its clear and precise style give an excellent insight into areas discussed in many different areas of mathematics, and so makes good preparatory reading. This book would also be suitable for anyone studying 'A' level maths who needed further inspiration on topics with which they were struggling, or were contemplating studying maths at university. Click here for Amazon.co.uk information. 



Memories of Wellingborough Grammar School by David & Graham Tall with a foreword by Sir David Frost The story of the school we attended as boys in the 1950s, told in its entirety from its opening in 1930 to its amalgamation with the Girls’ High School to form the comprehensive Wrenn School, (named after the Grammar School’s third Headmaster Harold Wrenn) in 1975. Click here for more information. 
Chronological List of Books
1970 Functions of a Complex Variable I, Routledge & Kegan Paul. 1970 Functions of a Complex Variable II, Routledge & Kegan Paul. [1975 From Intuition to Rigour in Real Analysis, Lecture Notes, University of Warwick.] 1977 (with Ian Stewart) The Foundations of Mathematics, Oxford University Press. 1977 Functions of a Complex Variable (2nd edition as a single volume), Routledge & Kegan Paul. 1979 (with Ian Stewart) Algebraic Number Theory, Chapman & Hall. (2nd edition 1986) 1983 (with Ian Stewart) Complex Analysis, Cambridge University Press. 1985a (coauthor, on behalf of the Mathematical Association) 132 Short Programs for the Mathematics Classroom, [book & disc of computer programs] Stanley Thornes. 1985b Supergraph [computer programs & book], Glentop Press, London. 1986a Graphic Calculus I: Differentiation [computer programs & book], Glentop Press, London. 1986b Graphic Calculus II: Integration [computer programs & book], Glentop Press, London. 1986c Graphic Calculus III: Differential Equations [computer programs & book], Glentop Press, London. 1989a Graphic Calculus IV: Numerical Solutions of equations [computer programs and 32 page booklet], Rivendell Software, Warwick, prior to publication by Cambridge University Press. 1989b (coauthor as part of SMP team) Calculus (School Mathematics Project 16–19), CUP. 1989c Real Functions & Graphs: SMP 1619 (computer programs and 70 page booklet), Rivendell Software, prior to publication by Cambridge University Press. 1990a Graphix (German version of A Graphic Approach to the Calculus), CoMet Verlag, Duisburg, W.Germany. 1990b A Graphic Approach to the Calculus (with Piet Blokland and Douwe Kok), 9 computer programs for IBM compatibles and 64 page booklet, Sunburst Inc, USA. 1991a (coauthor as part of SMP team) Introductory Calculus, Cambridge University Press, 1991b (as part of SMP team) Introductory Calculus Unit Guide , Cambridge University Press. 1991c Real Functions & Graphs: SMP 1619 (computer programs and 64 page booklet), Cambridge University Press, ISBN 0 521 42517 4 (BBC version), ISBN 0 521 42516 6 (Compact) ISBN 0 521 42515 8 (Nimbus PC) ISBN 0 521 42514 X (Archimedes). 1991d Numerical Solutions of equations [computer programs and 48 page booklet], Cambridge University Press, ISBN 0 521 42513 1 (BBC version), ISBN 0 521 42512 3 (Compact) ISBN 0 521 42511 5 (Nimbus PC) ISBN 0 521 42510 7 (Archimedes). 1991e Teacher Notes for use with A Graphic Approach to the Calculus, Sunburst Inc, USA, 66 pages. 1991f Advanced Mathematical Thinking (editor), Kluwer: Dordrecht, 289 pages, ISBN 0 7923 1456 5. 1992a (with Paul Roder, Thelma Wilson and John Higgo) Numerical Methods, Cambridge University Press, 104 pages, ISBN 0 521 42648 0. 1992b (with Paul Roder, Thelma Wilson and John Higgo) Numerical Methods, Unit Guide, Cambridge University Press, 45 pages, ISBN 0 521 42659 6. 1992c (coauthor as part of SMP team) Mathematical Methods, CUP, 160 pages, ISBN 0 521 40894 6. 1992d Mathematical Methods, Unit Guide (coauthor as part of SMP team), CUP, 54 pages, ISBN 0 521 40885 7. 1992e (coauthor as part of SMP team) Calculus Methods, CUP, 124 pages, ISBN 0 521 40892 X. 1992f (coauthor as part of SMP team) Calculus Methods Unit Guide, CUP, 46 pages, ISBN 0 521 40884 9. 1992g Computers in the Mathematics Curriculum, A Report of the Mathematical Association (Ed. J F A Mann & D O Tall), Published by the Mathematical Association, Leicester, 173 pages, ISBN 0906588286. 1992h Graphe (French version of A Graphic Approach to Calculus), Nathan, Paris. 1997 (coauthor as part of SMP team), Pure Mathematics, Cambridge University Press, 759 pages, ISBN 0 521 56617 7. 2001 (with Ian Stewart) Algebraic Number Theory and Fermat’s Last Theorem, (3rd Edition) A K Peters, Natick, MA. 313 pp. ISBN 1568811195. 2002 (coeditor with Michael Thomas). Intelligence, Learning and Understanding – A Tribute to Richard Skemp. Post Pressed, Flaxton, Australia. 294 pp. ISBN 1876682329 2002 (coeditor with Dina Tirosh). Infinity the Never Ending Struggle (Educational Studies vol 48, 3&4). Kluwer: Dordrecht. ISSN 00131954. 2006 (coauthor with Graham Tall): Memories of Wellingborough Grammar School, ClockTower Publications, Kenilworth ISBN 0954868919. 2010 (coauthor with Graham Tall): Fifty Years of Rotary in Kenilworth: 19602010, Clock Tower Publications. Kenilworth. 2012 (coauthor with Graham Tall): More Memories of Wellingborough Grammar School: Mr Woolley and the War Years, ClockTower Publications, Kenilworth ISBN 978095486932. 2012 (coauthor with Graham Tall & Susan Tall): More Memories of Wellingborough Grammar School: Letters to Mr Woolley in the War Years. ClockTower Publications, Kenilworth ISBN 978095486949. 2013 How Humans Learn to Think Mathematically. New York: Cambridge University Press. (due to be published in November.)
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