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 t...

To Cut a Long Story Short (Volume 1)A tangled web of love, betrayal, and beachside adventures.Meet Mr. Mazzuri, a charming ladies' man caught between two flames. One, a past love with a deep connection, the other, a captivating fling with a fiery spirit. As Mr. Mazzuri embarks on a romantic getaway with his new flame, a surprise arrival throws his carefully constructed plans into disarray.Will Mr. Mazzuri choose the familiar...

Advanced Mathematical Thinking has played a central role in the development of human civilization for over two millennia. Yet in all that time the serious study of the nature of advanced mathematical thinking – what it is, how it functions in the minds of expert mathematicians, how it can be encouraged and improved in the developing minds of students – has been limited to the reflections of a few significant individuals scattered throughout the history of mathematics. In the twentieth cent...

Delve into the gripping world of murder mysteries with this collection of thrilling and suspenseful stories. From classic detective novels to modern psychological thrillers, this ebook takes readers on a journey through the fascinating and often dark world of crime-solving.Explore the genre's evolution over time, from the classic stories of Sherlock Holmes and Agatha Christie to the modern works of Gillian Flynn, Dan Brown, and Thomas Harris. Discover the various subgenres within t...

This new edition of a classic textbook develops complex analysis from the established theory of real analysis by emphasising the differences that arise as a result of the richer geometry of the complex plane. Key features of the authors' approach are to use simple topological ideas to translate visual intuition to rigorous proof, and, in this edition, to address the conceptual conflicts between pure and applied approaches head-on. Beyond the material of the clarified and corrected original...

model. They conclude that the models using three fitting parameters provide the best fit over a wide range of suctions. Models for soil-water characteristic curves are only useful if we have experimental data on which to base them. Agus, Leong and Rahardjo (Singapore) present a large number of experimental soil-water characteristic curves determined for two types of residual soil from Sigapore. They present data for eight different sites. This data set allows them to relate the parameters ...

Residual soils are found in many parts of the world. Like other soils, they are used extensively in construction, either to build upon, or as construction material. They are formed when the rate of rock weathering is more rapid than transportation of the weathered particles by e.g., water, gravity and wind, which results in a large share of the soi

Broadway. The Great White Way. In its theatres—one day you’re an understudy, the next a star. Your name in headlines and lights. But Broadway has an underbelly. A troubled side through which to view humanity at its worst: corrupt, dark, venal and violent.For Detective Danny Clover every time he walked that street another case was always just a few footsteps away. He knows everyone along Broadway—from pan handlers to operatic prima donnas—but he’s still sentimental about the street,...

Broadway. The Great White Way. In its theatres—one day you’re an understudy, the next a star. Your name in headlines and lights. But Broadway has an underbelly. A troubled side through which to view humanity at its worst: corrupt, dark, venal and violent.For Detective Danny Clover every time he walked that street another case was always just a few footsteps away. He knows everyone along Broadway—from pan handlers to operatic prima donnas—but he’s still sentimental about the street,...

Broadway. The Great White Way. In its theatres—one day you’re an understudy, the next a star. Your name in headlines and lights. But Broadway has an underbelly. A troubled side through which to view humanity at its worst: corrupt, dark, venal and violent.For Detective Danny Clover every time he walked that street another case was always just a few footsteps away. He knows everyone along Broadway—from pan handlers to operatic prima donnas—but he’s still sentimental about the street,...

Broadway. The Great White Way. In its theatres—one day you’re an understudy, the next a star. Your name in headlines and lights. But Broadway has an underbelly. A troubled side through which to view humanity at its worst: corrupt, dark, venal and violent.For Detective Danny Clover every time he walked that street another case was always just a few footsteps away. He knows everyone along Broadway—from pan handlers to operatic prima donnas—but he’s still sentimental about the street,...

Broadway. The Great White Way. In its theatres—one day you’re an understudy, the next a star. Your name in headlines and lights. But Broadway has an underbelly. A troubled side through which to view humanity at its worst: corrupt, dark, venal and violent.For Detective Danny Clover every time he walked that street another case was always just a few footsteps away. He knows everyone along Broadway—from pan handlers to operatic prima donnas—but he’s still sentimental about the street,...