Introduction to Infinity-Categories by Markus Land
Preface.- Categories, simplicial sets, and in nity-categories.- Joyal's theorem, applications, and Dwyer-Kan localizations.- (Co)Cartesian brations and the construction of functors.- Limits and Colimits.- Adjunctions and adjoint functor theorems.- Exercises.-
The Kurzweil-Henstock Integral for Undergraduates
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Geometric Multiplication of Vectors
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Tessellations with Stars and Rosettes
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Vector Bundles and Connections
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Introduction to Functional Analysis
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An Introduction to the Language of Category Theory
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Projective Geometry
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Probabilistic Methods in Telecommunications
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Mathematical Portfolio Theory and Analysis
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Introduction to Ring and Module Theory
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Elements of General Relativity
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A Course on Topological Vector Spaces
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An Introduction to Catalan Numbers
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Differential Equations: Methods and Applications
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A Compact Capstone Course in Classical Calculus
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Tensors for Scientists
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Linear Algebra
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Turning Points in the History of Mathematics
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Basic Monotonicity Methods with Some Applications
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Introduction to Quasi-Monte Carlo Integration and Applications
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From Groups to Categorial Algebra
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Measure and Integral
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Exploring Classical Greek Construction Problems with Interactive Geometry Software
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Differential Geometry
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A Basic Course in Topology
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Geometry by Its Transformations
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Elementary Numerical Mathematics for Programmers and Engineers
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Introduction to Geometry and Topology
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Introduction to Quantitative Methods for Financial Markets
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Linear Algebra in Data Science
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A Primer on Hilbert Space Operators
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Lebesgue Integral
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Finite Element Approximation of Boundary Value Problems
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A Course in Combinatorics and Graphs
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The Mathematics of Voting and Apportionment
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Mathematical Thinking
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Statistics for Mathematicians
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Basics of Programming and Algorithms, Principles and Applications
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A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations
“This book is a concise and rather comprehensive introduction to the theory of ∞-categories, aimed at a wide audience… The material developed in this book mostly originates from the work of Joyal and Lurie. It is presented here in a fresh, streamlined, and accessible way. The length and style of this book make it ideally suited for a lecture course or seminar on ∞-categories. … Finally, a nice collection of exercises is included as an appendix.” (Gijs Heuts, Mathematical Reviews, July, 2022)
Markus Land is a lecturer at the University of Regensburg and a guest researcher at the University of Copenhagen in the academic year 2019/2020.
| SKU | Unavailable |
| ISBN 13 | 9783030615239 |
| ISBN 10 | 3030615235 |
| Title | Introduction to Infinity-Categories |
| Author | Markus Land |
| Series | Compact Textbooks In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2021-04-22 |
| Number of pages | 296 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |