Algebra & Geometry: An Introduction to University Mathematics

Algebra & Geometry: An Introduction to University Mathematics, Second Edition, is a textbook that bridges the gap between high school and undergraduate mathematics courses on algebra and geometry. It presents important ideas and their historical origins, incorporates a hands-on approach to proofs, and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms, and includes updated chapters, an all-new chapter on the construction of the real numbers, and fifteen short essays for undergraduate readers.

\n Format: Paperback / softback
\n Length: 402 pages
\n Publication date: 23 June 2021
\n Publisher: Taylor & Francis Ltd
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Algebra & Geometry: An Introduction to University Mathematics, Second Edition serves as a crucial bridge between high school and undergraduate mathematics courses, delving into the realms of algebra and geometry. Authored by an experienced educator, the book aims to unveil the profound essence of mathematics, surpassing its mere application of methods. Through an engaging narrative, the author elucidates essential ideas and their historical roots, fostering a deeper understanding of the subject. By incorporating a hands-on approach to proofs, the text seamlessly connects algebra and geometry to diverse real-world applications.

The text primarily concentrates on linear equations, polynomial equations, and quadratic forms, laying the foundational groundwork for subsequent chapters. The initial chapters delve into foundational concepts, emphasizing the significance of proofs and exploring the properties commonly encountered in algebraic studies. The subsequent chapters constitute the mathematical core of the book, presenting comprehensive explanations of the solutions to various types of algebraic equations, elucidating the nature of these solutions, and exploring the intricate interplay between geometry and algebra.

In this second edition, the text has undergone significant enhancements. Numerous updated chapters have been incorporated, ensuring that readers are equipped with the most recent developments in the field. Additionally, an entirely new chapter has been added, dedicated to discussing the construction of the real numbers through approximations by rational numbers. Furthermore, the book includes fifteen concise yet informative essays, accessible to undergraduate readers yet designed to pique the interest of those seeking further advanced developments of the material. The references have been expanded to provide comprehensive support for readers' exploration.

To further enhance the learning experience, chapter exercises with solutions are available online at www.routledge.com/9780367563035. This resource enables students to practice and reinforce their understanding of the concepts presented in the book, facilitating a comprehensive and effective study of algebra and geometry.

In summary, Algebra & Geometry: An Introduction to University Mathematics, Second Edition is an indispensable resource for students embarking on their mathematical journey. By presenting important ideas and their historical roots, integrating a hands-on approach to proofs, and connecting algebra and geometry to diverse applications, the book equips students with the tools they need to excel in their studies. With its updated content, expanded references, and online resources, this edition ensures that readers are well-prepared to tackle the challenges of university-level mathematics.

\n Weight: 812g\n
Dimension: 155 x 233 x 26 (mm)\n
ISBN-13: 9780367563035\n
Edition number: 2 New edition\n