Andrew J. Blumberg and Raul Rabadan

Topological Data Analysis for Genomics and Evolution

Web site of the book at Cambridge University Press

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Frontmatter

Dedication

Contents

List of Contributors

Preface

Introduction

Part I - Topological Data Analysis

1 - Basic Notions of Algebraic Topology

2 - Topological Data Analysis

3 - Statistics and Topological Inference

4 - Dimensionality Reduction, Manifold Learning, and Metric Geometry

Part II - Biological Applications

5 - Evolution, Trees, and Beyond

6 - Cancer Genomics

7 - Single Cell Expression Data

8 - Three-Dimensional Structure of DNA

9 - Topological Data Analysis beyond Genomics

10 - Conclusions

Appendix A - Algorithms in Topological Data Analysis

Appendix B - Introduction to Population Genetics

Appendix C - Molecular Phylogenetics

References

Index