Introductory Analysis: An Inquiry Approach
暫譯: 入門分析：探究方法
Ross, John D., Richards, Kendall C.
- 出版商: CRC
- 出版日期: 2021-09-30
- 售價: $2,420
- 貴賓價: 9.5 折 $2,299
- 語言: 英文
- 頁數: 252
- 裝訂: Quality Paper - also called trade paper
- ISBN: 103217501X
- ISBN-13: 9781032175010
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相關主題
商品描述
Introductory Analysis: An Inquiry Approach aims to provide a self-contained, inquiry-oriented approach to undergraduate-level real analysis.
The presentation of the material in the book is intended to be inquiry-oriented' in that as each major topic is discussed, details of the proofs are left to the student in a way that encourages an active approach to learning. The book is self-contained in two major ways: it includes scaffolding (i.e., brief guiding prompts marked as Key Steps in the Proof) for many of the theorems. Second, it includes preliminary material that introduces students to the fundamental framework of logical reasoning and proof-writing techniques. Students will be able to use the guiding prompts (and refer to the preliminary work) to develop their proof-writing skills.
Features
- Structured in such a way that approximately one week of class can be devoted to each chapter
- Suitable as a primary text for undergraduates, or as a supplementary text for some postgraduate courses
- Strikes a unique balance between enquiry-based learning and more traditional approaches to teaching
商品描述(中文翻譯)
《入門分析：探究方法》旨在提供一種自成體系、以探究為導向的本科級實數分析學習方式。
本書的內容呈現旨在以「探究為導向」的方式進行，當每個主要主題被討論時，證明的細節留給學生，鼓勵他們採取主動的學習方式。本書在兩個主要方面是自成體系的：首先，它為許多定理提供了支架（即，標記為「證明中的關鍵步驟」的簡要指導提示）。其次，它包含了介紹學生基本邏輯推理框架和證明寫作技巧的初步材料。學生將能夠利用這些指導提示（並參考初步工作）來發展他們的證明寫作技能。
特色
- 結構設計使每章大約可以分配一週的課程時間
- 適合作為本科生的主要教材，或作為某些研究生課程的補充教材
- 在以探究為基礎的學習與更傳統的教學方法之間取得獨特的平衡
作者簡介
John Ross is an Assistant Professor of Mathematics at Southwestern University. He earned his Ph.D. and M.A. in Mathematics from Johns Hopkins University, and his B.A. in Mathematics from St. Mary's College of Maryland. His research is in geometric analysis, answering questions about manifolds that arise under curvature flows. He enjoys overseeing undergraduate research, teaching in an inquiry-based format, biking to work, and hiking in Central Texas.
Kendall Richards is a Professor of Mathematics at Southwestern University. He earned his B.S. and M.A. in Mathematics from Eastern New Mexico University and his Ph.D. in Mathematics from Texas Tech University. He is inspired by working with students and the process of learning. His research pursuits have included questions involving special functions, inequalities, and complex analysis. He also enjoys long walks and a strong cup of coffee.
作者簡介(中文翻譯)
約翰·羅斯（John Ross）是西南大學（Southwestern University）數學系的助理教授。他在約翰霍普金斯大學（Johns Hopkins University）獲得數學博士（Ph.D.）和碩士（M.A.）學位，並在馬里蘭州聖瑪麗學院（St. Mary's College of Maryland）獲得數學學士（B.A.）學位。他的研究專注於幾何分析，解答與曲率流相關的流形問題。他喜歡指導本科生研究，以探究為基礎的方式教學，騎自行車上班，以及在德克薩斯州中部健行。
肯達爾·理查茲（Kendall Richards）是西南大學的數學教授。他在東新墨西哥大學（Eastern New Mexico University）獲得數學學士（B.S.）和碩士（M.A.）學位，並在德克薩斯科技大學（Texas Tech University）獲得數學博士（Ph.D.）學位。他受到與學生合作和學習過程的啟發。他的研究興趣包括特殊函數、不等式和複分析等問題。他也喜歡長時間散步和喝一杯濃咖啡。
