Computational Homological Algebra
Springer
ISBN 978-3-032-08633-4
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Bibliografische Daten
Fachbuch
Buch. Hardcover
2025
56 s/w-Abbildungen.
Umfang: xx, 476 S.
Format (B x L): 15,5 x 23,5 cm
Verlag: Springer
ISBN: 978-3-032-08633-4
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Mathematical Engineering
Produktbeschreibung
The broad success of linear algebra in applications is due to the dimension theorem and the algorithms that exploit it, like Gaussian elimination and QR factorizations.
Homological algebra is the study of what happens when linear maps are chained together, one after the next.
Unlike linear algebra, homological algebra is little known outside of mathematics, but is poised to become useful in engineering and data science.
The material covered in this book can be used for a one semester elementary course in computational homological algebra, but could also comfortably occupy a two-semester sequence.
This book is written for mid-division undergraduate students who have a solid background in linear algebra, but no background in abstract algebra, topology, or category theory.
Instead readers build insight by computation.
By working the examples and exercises, the requisite background material is covered as needed, and the powerful tools of homological algebra are unlocked.
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