Review of A.R. Vashishta-Algebra (Group Theory)

The present paper provides an extensive scholarly review of the textbook Algebra (Group Theory) authored by A.R. Vashishta (2022). Adopting aresearch paper format, the study evaluates the book’s content coverage,pedagogical approach, exercise design, and cultural relevance within thecontext of undergraduate mathematics curricula in India and comparableinternational programs. Drawing on a mixed-methods analysis that combinestextual scrutiny, comparative benchmarking against established texts (Dummit& Foote, 2004; Fraleigh, 2014), and a survey of 112 university students, thereview identifies notable strengths such as clarity of exposition and affordability,while also highlighting limitations in depth of advanced topics and occasionaltypographical inaccuracies. The paper concludes with recommendations forfuture editions and suggestions for instructors who wish to adopt the book as aprimary or supplementary resource.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-30
DOI
https://doi.org/10.5281/zenodo.18548434
Primary Topic
Mathematics Education and Teaching Techniques
Type
article
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Review of A.R. Vashishta-Algebra (Group Theory)

Amrendra Sharma
Zenodo (CERN European Organization for Nuclear Research)
Mathematics Education and Teaching Techniques
article

Review of A.R. Vashishta-Algebra (Group Theory)

Amrendra Sharma
article en

Abstract

The present paper provides an extensive scholarly review of the textbook Algebra (Group Theory) authored by A.R. Vashishta (2022). Adopting aresearch paper format, the study evaluates the book’s content coverage,pedagogical approach, exercise design, and cultural relevance within thecontext of undergraduate mathematics curricula in India and comparableinternational programs. Drawing on a mixed-methods analysis that combinestextual scrutiny, comparative benchmarking against established texts (Dummit& Foote, 2004; Fraleigh, 2014), and a survey of 112 university students, thereview identifies notable strengths such as clarity of exposition and affordability,while also highlighting limitations in depth of advanced topics and occasionaltypographical inaccuracies. The paper concludes with recommendations forfuture editions and suggestions for instructors who wish to adopt the book as aprimary or supplementary resource.

Zenodo (CERN European Organization for Nuclear Research)
National Institute of Pharmaceutical Education and Research (IN)
Quality Education
Openalex Percentile: Top 19%
Mathematics Education and Teaching Techniques
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