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Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
Bemærk: Kan ikke leveres før jul.
From his return to Cambridge in 1929 to his death in 1951, Wittgenstein influenced philosophy almost exclusively through teaching and discussion. These lecture notes indicate what he considered to be salient features of his thinking in this period of his life.
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The theory set out in this volume is the result of the meeting and common development of two currents of mathematical research: descriptive set theory and recursion... Læs mere
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This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.
Bemærk: Kan ikke leveres før jul.
An integrated approach to the theory of nonnegative matrices, emphasising connections with game theory, optimisation, mathematical programming, mathematical economics and statistics. The minimal prerequisites make this accessible to new graduate students.
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In this volume the authors bring together several directions of work in model theory between the late 1950s and early 1980s. It contains expository papers by pre-eminent researchers on advanced topics in model theory. Many chapters can be read independently.
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This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist,... Læs mere
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In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. Numerous... Læs mere
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This is a collection of thirty-five articles on covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries,... Læs mere
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This concise introduction takes the reader from standard notions to more advanced topics. It introduces the classic results, as well as more recent developments in this vibrant... Læs mere
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The Banach–Tarski Paradox is the most surprising result in mathematics. This new edition of a classic book offers a comprehensive, accessible presentation, with many related... Læs mere
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Assuming little mathematical background, this short introduction to category theory is ideal for beginning graduate students or advanced undergraduates learning category theory for... Læs mere