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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.
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.
A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.
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.
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
The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect 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. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of form...
Anyone who watched part three in the Star Wars movie trilogy, Return of the Jedi, saw Matt Roloff. His handicap helped land him a part as one of the diminutive, furry Ewoks. In Matt's biography Against Tall Odds, readers view a world of fast-walking giants, where common obstacles for most are mountains for little people, and stares from strangers are the norm. Through perseverance and faith, Matt shows that success comes not by trying to be what you're not, but by being what God has made you.
Nothing is as it seems in Tall Oaks, a small California town where everyone knows each other and violent crime is unheard of. The community's idyllic façade is shattered when a kidnapper in a clown costume snatches three-year-old Harry Monroe from his own home. Despite sensational media coverage and dogged police investigations, the abduction remains a mystery. Three months later, Harry is still missing and most people have moved on, except for Jessica, Harry's distraught mother, and Jim, the local sheriff. Anyone in Tall Oaks could be a suspect: Jerry, the loner with a secret that only his mother knows; Jared, the roving lothario; teenage Manny, an aspiring gangster; and even Jessica's Aunt Henrietta and Uncle Roger, who are clearly hiding something. Chris Whitaker’s debut novel, with its striking blend of tragedy and offbeat humor, was awarded the U.K. Crime Writers' Association New Blood Dagger Award. The Guardian praised this beguiling novel as "a pleasingly unusual mixture of a psychological thriller and screwball comedy," noting that "the combination of verve, humor, and pathos make it well worth a read."