Introduction to Linear Algebra with Applications (IE-Paperback)
Jim DeFranza , Daniel Gagliardi
- 出版商: McGraw-Hill Education
- 出版日期: 2008-10-30
- 定價: $940
- 售價: 9.8 折 $921
- 語言: 英文
- 頁數: 488
- 裝訂: Paperback
- ISBN: 007127054X
- ISBN-13: 9780071270540
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相關分類:
線性代數 Linear-algebra
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商品描述
"Linear Algebra with Applications" is an introductory text targeted to second or advanced first year undergraduates in engineering or mathematics. The organization of this text is motivated by the authors' experience which tells them what essential concepts should be mastered by students in a one semester undergraduate Linear Algebra course. The authors' main objectives are to fully develop each topic before moving on and to connect topics naturally. The authors take great care to meet both these objectives, because this organization will allow instructors teaching from this text to stay on task so that each topic can be covered with the depth required before progressing to the next logical one. As a result the reader is prepared for each new unit and there is no need to repeat a concept in a subsequent chapter when it is utilized. This text is geared towards an introductory linear algebra course taken by first or second year undergraduate students. However, it offers the opportunity to introduce the importance of abstraction, not only in mathematics, but in many other areas where Linear Algebra is used. The textbook's approach is to take advantage of this opportunity by presenting abstract vector spaces as early as possible. Throughout the text, the authors are mindful of the difficulties that students at this level have with abstraction and introduce new concepts first through examples which gently illustrate the idea. To motivate the definition of an abstract vector space, and the subtle concept of linear independence, the authors use addition and scalar multiplication of vectors in Euclidean Space. The authors have strived to create a balance between computation, problem solving, and abstraction. This approach equips students with the necessary skills and problem solving strategies in an abstract setting that allows for a greater understanding and appreciation for the numerous applications of the subject.
商品描述(中文翻譯)
「應用線性代數」是一本針對工程或數學二年級或高年級本科生的入門教材。本書的組織方式是根據作者的經驗,他們知道學生在一個學期的本科線性代數課程中應該掌握哪些基本概念。作者的主要目標是在進行下一個主題之前充分發展每個主題,並自然地將各個主題聯繫起來。作者非常注意達到這兩個目標,因為這種組織方式可以讓使用本書教學的教師保持專注,以便在進入下一個邏輯主題之前,能夠深入探討每個主題所需的深度。因此,讀者對每個新單元都有所準備,並且在後續章節中不需要重複介紹已使用的概念。本書適用於本科一、二年級學生修讀的線性代數入門課程。然而,它也提供了介紹抽象概念的機會,不僅僅是在數學中,還包括許多其他應用線性代數的領域。本書的方法是盡早利用這個機會,將抽象向量空間作為主題呈現。在整本書中,作者考慮到這個層次的學生對抽象概念的困難,並通過例子來輕鬆地解釋新概念。為了解釋抽象向量空間的定義和線性獨立的微妙概念,作者使用了歐幾里得空間中的向量加法和純量乘法。作者努力在計算、問題解決和抽象之間取得平衡。這種方法使學生在抽象環境中獲得必要的技能和問題解決策略,從而更好地理解和欣賞該學科的眾多應用。