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Book Title
Introductory Analysis : An Inquiry Approach
ISBN
9780815371441

Informazioni su questo prodotto

Product Identifiers

Publisher
CRC Press LLC
ISBN-10
0815371446
ISBN-13
9780815371441
eBay Product ID (ePID)
19038557404

Product Key Features

Number of Pages
238 Pages
Publication Name
Introductory Analysis : an Inquiry Approach
Language
English
Subject
General, Applied, Arithmetic
Publication Year
2020
Type
Textbook
Author
Kendall C. Richards, John D. Ross
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
0.8 in
Item Weight
22 Oz
Item Length
9.4 in
Item Width
6.3 in

Additional Product Features

Intended Audience
College Audience
LCCN
2019-051900
Reviews
"Analysis has the potential to be one of the most enjoyable and challenging courses in the undergraduate curriculum. Taught poorly, it can devastate a student. Taught well, it can launch a student into a life-long love of theoretical mathematics. Introductory Analysis: An Inquiry Approach makes the latter both possible and probable. The authors strike the delicate balance between breadth and depth. They cover sufficiently many topics to satisfy any instructor, while delivering the material in such a way as to be amenable to an active- or inquiry-based learning pedagogy. The book could serve as either one or two semesters of undergraduate analysis and would be equally appropriate at either regional or research institutions. I commend the authors on this rich delivery and look forward to experimenting with the material myself." --W. Ted Mahavier, Professor of Mathematics at Lamar University and Managing Editor for The Journal of Inquiry-Based Learning in Mathematics
Illustrated
Yes
Table Of Content
Prerequisites Chapter P1: Exploring Mathematical Statements Chapter P2: Proving Mathematical Statements Chapter P3: Preliminary Content Main Content Chapter 1: Properties of R Chapter 2: Accumulation Points and Closed Sets Chapter 3: Open Sets and Open Covers Chapter 4: Sequences and Convergence Chapter 5: Subsequences and Cauchy Sequences Chapter 6: Functions, Limits, and Continuity Chapter 7: Connected Sets and the Intermediate Value Theorem Chapter 8: Compact Sets Chapter 9: Uniform Continuity Chapter 10: Introduction to the Derivative Chapter 11: The Extreme and Mean Value Theorems Chapter 12: The Definite Integral: Part I Chapter 13: The Definite Integral: Part II Chapter 14: The Fundamental Theorem(s) of Calculus Chapter 15: Series Extended Explorations Chapter E1: Function Approximation Chapter E2: Power Series Chapter E3: Sequences and Series of Functions Chapter E4: Metric Spaces Chapter E5: Iterated Functions and Fixed Point Theorems
Synopsis
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
LC Classification Number
QA300.R66 2020

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