Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

MathSciNet review: 4119620

Full text of review: PDF This review is available free of charge.

Book Information:

Authors: Paul Zimmermann, Alexandre Casamayou, Nathann Cohen, Guillaume Connan, Thierry Dumont, Laurent Fousse, François Maltey, Matthias Meulien, Marc Mezzarobba, Clément Pernet, Nicolas M. Thiéry, Erik Bray, John Cremona, Marcelo Forets, Alexandru Ghitza and Hugh Thomas

Title: Computational Mathematics with SageMath

Additional book information: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, Pennsylvania, 2018, xiv+464 pp., ISBN 978-1-611975-45-1, US$69.00

*CoCoA: A system for doing Computations in Commutative Algebra*, available at http://cocoa.dima.unige.it

*Bertini: Software for Numerical Algebraic Geometry*, available at bertini.nd.edu with permanent doi: dx.doi.org/10.7274/R0H41PB5.

*Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture*, J. Lond. Math. Soc. (2)

**78**(2008), no. 1, 85–106. MR

**2427053**, DOI 10.1112/jlms/jdn013

*The Magma algebra system. I. The user language*, J. Symbolic Comput.

**24**(1997), no. 3-4, 235–265. Computational algebra and number theory (London, 1993). MR

**1484478**, DOI 10.1006/jsco.1996.0125

*A computer algebra system for polynomial computations*, 2019, available at http://www.singular.uni-kl.de.

*Betti numbers of graded modules and cohomology of vector bundles*, J. Amer. Math. Soc.

**22**(2009), no. 3, 859–888. MR

**2505303**, DOI 10.1090/S0894-0347-08-00620-6

*GAP—Groups, Algorithms, and Programming, Version 4.10.2*; 2019, available at https://www.gap-system.org.

*A*, Second, extended edition, Springer, Berlin, 2008. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann; With 1 CD-ROM (Windows, Macintosh and UNIX). MR

**Singular**introduction to commutative algebra**2363237**

*Macaulay2, a software system for research in algebraic geometry*, available at http://www.math.uiuc.edu/Macaulay2/.

*Ueber die Theorie der algebraischen Formen*, Math. Ann.

**36**(1890), no. 4, 473–534 (German). MR

**1510634**, DOI 10.1007/BF01208503

*SageMath Mathematics Software*, The SageMath Development Team, 2019, available at https://www.sagemath.org.

Review Information:

Reviewer: John B. Little

Affiliation: Department of Mathematics and Computer Science College of the Holy Cross

Email: jlittle@holycross.edu

Journal: Bull. Amer. Math. Soc.

**57**(2020), 515-521

DOI: https://doi.org/10.1090/bull/1690

Published electronically: January 24, 2020

Review copyright: © Copyright 2020 American Mathematical Society