Algebra & Geometry: An Introduction to University Mathematics
暫譯: 代數與幾何：大學數學入門
Lawson, Mark V.
- 出版商: CRC
- 出版日期: 2021-06-23
- 售價: $6,820
- 貴賓價: 9.5 折 $6,479
- 語言: 英文
- 頁數: 402
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0367565080
- ISBN-13: 9780367565084
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商品描述
Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He 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. The first few chapters cover foundational topics, including the importance of proofs and a discussion of the properties commonly encountered when studying algebra. The remaining chapters form the mathematical core of the book. These chapters explain the solution of different kinds of algebraic equations, the nature of the solutions, and the interplay between geometry and algebra.
New to the second edition
- Several updated chapters, plus an all new chapter discussing the construction of the real numbers by means of approximations by rational numbers
- Includes fifteen short 'essays' that are accessible to undergraduate readers, but which direct interested students to more advanced developments of the material
- Expanded references.
商品描述(中文翻譯)
《代數與幾何：大學數學導論》提供了高中與大學代數和幾何課程之間的橋樑。作者向學生展示數學不僅僅是一系列方法，而是通過整本書呈現重要的概念及其歷史起源。他採用實作的方法來進行證明，並將代數和幾何與各種應用相連結。
本書重點在於線性方程、幾次多項式方程和二次型。前幾章涵蓋基礎主題，包括證明的重要性以及在學習代數時常見的性質討論。其餘章節構成了本書的數學核心。這些章節解釋了不同類型代數方程的解法、解的性質，以及幾何與代數之間的相互作用。
第二版的新內容：
- 幾個更新的章節，以及一個全新的章節，討論通過有理數的近似來構造實數。
- 包含十五篇短小的「隨筆」，這些隨筆對大學本科生易於理解，但同時引導有興趣的學生深入更高級的材料發展。
- 擴充的參考文獻。
作者簡介
Mark V. Lawson is a professor in the Department of Mathematics at Heriot-Watt University. Prof. Lawson has published over 70 papers and has given seminars on his research work both at home and abroad. His research interests focus on algebraic semigroup theory and its applications. In 2017, he was awarded the Mahoney-Neumann-Room prize by the Australian Mathematical Society for one of his papers.
作者簡介(中文翻譯)
馬克·V·勞森是赫瑞瓦特大學數學系的教授。勞森教授已發表超過70篇論文，並在國內外舉辦過多場有關其研究工作的研討會。他的研究興趣集中在代數半群理論及其應用上。2017年，他因為其中一篇論文獲得澳大利亞數學學會頒發的馬霍尼-紐曼-魯姆獎。
