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How Humans Learn to Think Mathematically
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.
The Tall Buildings Reference Book
As the ever-changing skylines of cities all over the world show, tall buildings are an increasingly important solution to accommodating growth more sustainably in today’s urban areas. Whether it is residential, a workplace or mixed use, the tower is both a statement of intent and the defining image for the new global city. The Tall Buildings Reference Book addresses all the issues of building tall, from the procurement stage through the design and construction process to new technologies and the building’s contribution to the urban habitat. A case study section highlights the latest, the most innovative, the greenest and the most inspirational tall buildings being constructed today. A team of over fifty experts in all aspects of building tall have contributed to the making of the Tall Buildings Reference Book, creating an unparalleled source of information and inspiration for architects, engineers and developers.
Advanced Mathematical Thinking
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. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.
Algebraic Number Theory and Fermat's Last Theorem
First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it
Complex Analysis
A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.
Exploiting Mental Imagery with Computers in Mathematics Education
The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.
Nonstandard Analysis
Currently, nonstandard analysis is barely considered in university teaching. The author argues that nonstandard analysis is valuable not only for teaching, but also for understanding standard analysis and mathematics itself. An axiomatic approach wich pays attention to different language levels (for example, in the distinction between sums of ones and the natural numbers of the theory) leads naturally to a nonstandard theory. For motivation historical ideas of Leibniz can be taken up. The book contains an elaborated concept that follows this approach and is suitable, for example, as a basis for a lecture-supplementary course. The monograph part presents all major approaches to nonstandard an...
This Sweet Sickness
BY THE BESTSELLING AUTHOR OF THE TALENTED MR RIPLEY, CAROL AND STRANGERS ON A TRAIN 'The No.1 Greatest Crime Writer' THE TIMES ' I love Highsmith so much . . . What a revelation her writing is' GILLIAN FLYNN 'Highsmith was every bit as deviant and quirky as her mischievous heroes' J. G. BALLARD, DAILY TELEGRAPH David Kelsey has an invincible conviction that life is going to work out just as he has planned it - if he can just fix 'the situation'. His one true love, the brilliant, beautiful Annabelle, has married another man. But that doesn't mean they can't still be friends. And even though she is pregnant with her husband Gerald's baby, that surely doesn't mean she won't one day get back together with David. She still loves him, of that he is certain. David is sure she'll take him back, and, under an alias, is setting up a wonderful home for the two of them in a town close by. And everything is just about going to plan until things take a murderous turn, leaving David a desperate man on the run.
