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Topology and Data Analysis

by G. Carlsson, Ph.D.

This book provides foundational insights into topological data analysis, crucial for applying topology in real-world data science.

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Elements of Algebraic Topology

by James R. Munkres

A classic text that delves deep into algebraic topology, offering essential theories that underpin modern applications.

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Topology: A Very Short Introduction

by Richard Earl

An accessible overview that introduces key topological concepts, perfect for refreshing your theoretical foundation.

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Data Analysis Using Topological Data Analysis

by H. Edelsbrunner, M. Harer

Explores practical applications of topology in data analysis, making it a vital resource for your research project.

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Network Science

by Albert-LΓ‘szlΓ³ BarabΓ‘si

This book connects topology with network analysis, providing insights into complex networks that can enhance your project.

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Topology and Its Applications

by James R. Munkres

A comprehensive guide that discusses various applications of topology across multiple fields, enriching your understanding.

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Computational Topology: An Introduction

by Herbert Edelsbrunner, John Harer

Focuses on computational methods in topology, essential for integrating theory with practical data science applications.

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Topology from the Differentiable Viewpoint

by John Milnor

A classic text that introduces differential topology, expanding your perspective on topological applications.

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The Shape of Data: A Topological Approach

by D. Zomorodian

Examines how topology can reshape data interpretation, directly relevant to your exploration of data science.

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Applied Topology

by Herbert Edelsbrunner, John Harer

Discusses how topological methods are applied in various domains, providing a practical lens for your research.

Embrace the wisdom of these influential texts to deepen your expertise and transform your research into impactful contributions in technology.