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.

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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.

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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.
(Patrick W. Thompson in Journal for Research in Mathematics Education)
It promises to be the standard reference work for many years to come, and a source of both information and inspiration ... The book is a most welcome distillation and resource for further development in our collective sense of what constitutes advanced mathematical thinking, and how we can make it accessible to more people.
(John Mason in Zentralblatt für Didaktik der Mathematik)

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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 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.

Amazon Reviews: I think every Mathematician should have this book .. Its my third year Complex analysis textbook ...Its much better than Schaum's Outlines Comlex Variable by Spiegel ..That book is for the student haven't got a brain and want to pass Complex analysis with third class degree...Don't buy that book ..there is much better book waiting for you Ian Stewart Complex Analysis .. We love you and your book.

I have recently completed a third year undergraduate course in complex analysis and I found this book to be helpful to me in explaining the ideas and concepts of analysis in the complex plane. The book is set out in an easy to follow manner with many worked examples and lots of exercises at the end of each chapter to help consolidate the ideas learnt. I found it complemented my class notes with more in-depth explanations. I also found it a good point of reference for exercises set by my tutor.

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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.

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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.
This is a social document including fond memories recalled by boys over the life of the school, telling of the characters of the long-serving masters, the sports, clubs, societies and academic achievement of an institution remembered with great affection.

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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    (co-author, 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    (co-author as part of SMP team) Calculus (School Mathematics Project 16–19), CUP.
 1989c    Real Functions & Graphs: SMP 16-19  (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    (co-author 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 16-19  (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    (co-author as part of SMP team) Mathematical Methods, CUP, 160 pages, ISBN 0 521 40894 6.
 1992d    Mathematical Methods, Unit Guide (co-author as part of SMP team), CUP, 54 pages, ISBN 0 521 40885 7.
 1992e    (co-author as part of SMP team) Calculus Methods, CUP, 124 pages, ISBN 0 521 40892 X. 
 1992f     (co-author 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 0-906588-28-6.
 1992h Graphe (French version of A Graphic Approach to Calculus), Nathan, Paris.
 1997     (co-author 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 1-56881-119-5.
 2002     (co-editor with Michael Thomas). Intelligence, Learning and Understanding – A Tribute to Richard Skemp. Post Pressed, Flaxton, Australia. 294 pp. ISBN 1-876682-32-9 
 2002     (co-editor with Dina Tirosh). Infinity the Never Ending Struggle (Educational Studies vol 48, 3&4). Kluwer: Dordrecht. ISSN 0013-1954.
 2006     (co-author with Graham Tall): Memories of Wellingborough Grammar School, Clock-Tower Publications, Kenilworth ISBN 0-9548689-1-9.
 2010     (co-author with Graham Tall): Fifty Years of Rotary in Kenilworth: 1960-2010, Clock Tower Publications. Kenilworth.
 2012     (co-author with Graham Tall): More Memories of Wellingborough Grammar School: Mr Woolley and the War Years, Clock-Tower Publications, Kenilworth ISBN 978-0-954869-3-2.
 2012     (co-author with Graham Tall & Susan Tall): More Memories of Wellingborough Grammar School: Letters to Mr Woolley in the War Years. Clock-Tower Publications, Kenilworth ISBN 978-0-954869-4-9.
 2013     How Humans Learn to Think Mathematically. New York: Cambridge University Press. (due to be published in November.)

last modified: Friday, February 16, 2007