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Zusatztext Review from previous edition There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book. Informationen zum Autor Ian Stewart is Emeritus Professor of Mathematics at the University of Warwick. He remains an active research mathematician and is a Fellow of the Royal Society. Famed for his popular science writing and broadcasting, for which he is the recipient of numerous awards, his bestselling books include: Does God Play Dice?, Nature's Numbers, and Professor Stewart's Cabinet of Mathematical Curiosities. He also co-authored The Science of Discworld series with Terry Pratchett and Jack CohenDavid Tall is Emeritus Professor of Mathematical Thinking at the University of Warwick. Internationally known for his contributions to mathematics education, his most recent book is How Humans Learn to Think Mathematically (2013). Klappentext The transition from school 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. This book bridges the divide. Zusammenfassung The transition from school 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. This book bridges the divide. Inhaltsverzeichnis I: The Intuitive Background 1: Mathematical Thinking 2: Number Systems II: The Beginnings of Formalisation 3: Sets 4: Relations 5: Functions III: The Development of Axiomatic Systems 8: Natural Numbers and Proof by Induction 9: Real Numbers 10: Real Numbers as a Complete Ordered Field 11: Complex Numbers and Beyond IV: Using Axiomatic Systems 12: Axiomatic Structures and Structure Theorems 13: Permutations and Groups 14: Infinite Cardinal Numbers 15: Infinitesimals V: Strengthening the Foundations 16: Axioms for Set Theory ...
