Ads related to cambridge studies in advanced mathematic from categories to homotopy theory book 188 hardcover
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Cambridge Studies in Advanced ...Category theory provides structure for the mathematical world and is seen ever... Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book the author bridges the gap between pure category theory and its numerous applications in homotopy theory providing the... more
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Cambridge Studies in Advanced ...This up-to-date introduction to type theory and homotopy type theory will be e... This up-to-date introduction to type theory and homotopy type theory will be essential reading for advanced undergraduate and graduate students interested in the foundations and formalization of mathematics. The book begins with a thorough and... more
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Cambridge Studies in Advanced ...The beginning graduate student in homotopy theory is confronted with a vast li... The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books articles and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable... more
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Cambridge Studies in Advanced ...The language of ∞-categories provides an insightful new way of expressing ma... The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an ∞-category is requires various technical models... more
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Cambridge Studies in Advanced ...This book develops aspects of category theory fundamental to the study of alge... This book develops aspects of category theory fundamental to the study of algebraic K-theory. Starting with categories in general the text then examines categories of K-theory and moves on to tensor products and the Morita theory. The categorical... more
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Cambridge Studies in Advanced ...At the heart of this short introduction to category theory is the idea of a un... At the heart of this short introduction to category theory is the idea of a universal property important throughout mathematics. After an introductory chapter giving the basic definitions separate chapters explain three ways of expressing universal... more
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Cambridge Studies in Advanced ...Offering a unique resource for advanced graduate students and researchers this... Offering a unique resource for advanced graduate students and researchers this book treats the fundamentals of Quillen model structures on abelian and exact categories. Building the subject from the ground up using cotorsion pairs it develops the... more
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Cambridge Studies in Advanced ...This book gives a general outlook on homotopy theory; fundamental concepts suc... This book gives a general outlook on homotopy theory; fundamental concepts such as homotopy groups and spectral sequences are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in... more
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Cambridge Studies in Advanced ...This book provides an introduction to modern homotopy theory through the lens ... This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first... more
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Pre-Owned Cambridge Studies in...This book provides an introduction to modern homotopy theory through the lens ... This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first... more
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Cambridge Studies in Advanced ...There have been remarkably few systematic expositions of the theory of derived... There have been remarkably few systematic expositions of the theory of derived categories since its inception in the work of Grothendieck and Verdier in the 1960s. This book is the first in-depth treatment of this important component of homological... more
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Pre-Owned Cambridge Studies in...There have been remarkably few systematic expositions of the theory of derived... There have been remarkably few systematic expositions of the theory of derived categories since its inception in the work of Grothendieck and Verdier in the 1960s. This book is the first in-depth treatment of this important component of homological... more
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Cambridge Studies in Advanced ...Prime numbers are the multiplicative building blocks of natural numbers. Under... Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is... more
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Cambridge Studies in Advanced ...Volume II on formal (ZFC) set theory incorporates a self-contained chapter 0 o... Volume II on formal (ZFC) set theory incorporates a self-contained chapter 0 on proof techniques so that it is based on formal logic in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough... more
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Cambridge Studies in Advanced ...This book gives a general outlook on homotopy theory; fundamental concepts suc... This book gives a general outlook on homotopy theory; fundamental concepts such as homotopy groups and spectral sequences are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in... more
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Ads related to cambridge studies in advanced mathematic from categories to homotopy theory book 188 hardcover