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Kevin P. Knudson
Algebraic Topology

De Gruyter Textbook

This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singu…

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Murdoch J. Gabbay
Semitopology. Decentralised Collaborative Action via Topology, Algebra, and Logic

We develop semitopologies, a new topological structure which gives a mathematical foundation to heterogeneous, decentralised, permissionless, computing systems. Semitopologies help to model consensus prob…

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Ibrahim Assem, Flávio U Coelho
An Introduction to Module Theory

This textbook is a modern and accessible account of module theory and is intended for a graduate course on the topic. Written by two specialists, it is addressed to graduate students in algebra, or to stu…

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Anahita Eslami Rad
Symplectic and Contact Geometry

This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other topics such as Lie theory and classical mechanics. Organ…

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Leonid Kurdachenko, Igor Subbotin, Oleksandr Pypka
General Theory of Leibniz Algebras

This book discusses many interesting results have been obtained in Leibniz algebras over the past two decades. The authors not only summarize recent results and methods successfully used in Leibniz algebr…

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Jürgen Jost, Parvaneh Joharinad
Mathematical Principles of Topological and Geometric Data Analysis

This book explores and demonstrates how geometric tools can be used in data analysis. Beginning with a systematic exposition of the mathematical prerequisites, covering topics ranging from category theory…

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Anna Tutubalina, Evgeny Smirnov
Symmetric Functions: A Beginner's Course

This book is devoted to combinatorial aspects of the theory of symmetric functions. This rich, interesting and highly nontrivial part of algebraic combinatorics has numerous applications to algebraic geom…

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Misha Verbitsky, Liviu Ornea
Principles of Locally Conformally Kähler Geometry

Progress in Mathematics -Band 354

This monograph introduces readers to locally conformally Kähler (LCK) geometry and provides an extensive overview of the most current results. A rapidly developing area in complex geometry dealing with no…

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Aurora Clark
The Shape of Data in Chemistry

An Advanced Textbook Introducing Graph Theory and Topological Data Analysis for Chemists Chemistry is at a tipping point where the integration with applied mathematics is dramatically expanding research p…

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Markus Szymik, Gerd Laures
A Basic Course in Topology

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and…

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