UNDERGRADUATE ANALYSIS

Book Details

• Publisher: Oxford University Press

• Author: Aisling McCluskey

• Language: English

• Edition: Illustrated Edition

• ISBN: 9780198817574

• Pages: 400

• Cover: Paperback

About The Book

Analysis serves as the foundation of calculus, and much like calculus, it underpins virtually all mathematical sciences. A deep understanding of analysis and its techniques is thus essential for a wide range of disciplines within mathematics and even beyond its traditional boundaries. This book is designed to develop such an understanding in undergraduate students pursuing mathematics or mathematically related programs.

Recognizing the diverse motivations, backgrounds, and time constraints of contemporary students, this text carefully blends the elements of a workbook, a formal teaching guide, and an informal, intuitive tutorial. The author, Aisling McCluskey, provides ample time and space to help students build confidence with fundamental concepts. The book emphasizes "learning by doing," offering a comprehensive set of examples and exercises. Some exercises are worked out in full detail, some come with sketch solutions and hints, while others are left open for students to explore and solve independently.

While the book upholds the importance of secure logical argument, it also encourages informal, heuristic explorations, allowing students to approach problems in a less rigid way. The author creates an apprenticeship-like atmosphere where readers can feel as though they are looking over the shoulder of an experienced practitioner, gaining insights into problem-solving techniques. This approachable style makes it an invaluable resource for students looking to grasp the critical concepts of mathematical analysis.