Selected Exercises in Algebra: Volume 2

This book provides over 350 Algebra exercises with solutions, covering topics such as group theory, commutative rings, Gaussian integers, field extensions, and Galois theory. It is designed for second-year students in Mathematics and Computer Science and includes a reference section for study and revision.

Format: Paperback / softback
Length: 290 pages
Publication date: 30 November 2022
Publisher: Springer International Publishing AG

This comprehensive two-volume set presents an extensive collection of approximately 350 exercises in Algebra, meticulously designed to serve as valuable resources for both the Algebraic Structure and Algebra I courses taught by the authors at the esteemed University of Pisa. Each exercise is accompanied by one or more carefully crafted solutions, ensuring a consistent and coherent language and notation throughout. What sets this book apart is its unique approach, requiring students to engage in creative thinking to solve each exercise. The diverse range of topics covered in this volume includes group theory and Sylow theorems, commutative rings with a focus on unique factorization, Gaussian integers, field extensions, and Galois theory. Additionally, a comprehensive section serves as a valuable reference for study and revision, summarizing relevant theory that can aid in understanding and consolidating the material. To facilitate the learning process, a list of preliminary exercises introduces the essential techniques and strategies required to tackle the proposed exam questions effectively. This book is specifically tailored for second-year students pursuing Mathematics and Computer Science degrees, offering a comprehensive and challenging curriculum that fosters critical thinking and mathematical proficiency.

Weight: 555g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031126505
Edition number: 1st ed. 2022