Real Analysis: With Proof Strategies

Real analysis is considered one of the most difficult courses for mathematics majors, mainly due to the need to comprehend new abstract concepts and apply rigorous proof techniques. Real Analysis: With Proof Strategies aims to bridge the gap between a student's preparation and the skills required for success in the course by presenting fundamental theorems and demonstrating how to compose and produce proofs.

Format: Hardback
Length: 269 pages
Publication date: 14 December 2020
Publisher: Taylor & Francis Ltd

Real analysis is often considered one of the most challenging courses for mathematics majors, primarily due to the introduction of new abstract concepts and the requirement to approach them with a heightened level of rigor and proof. This perception arises from the need for students to grasp these concepts and apply them in a rigorous manner, which may be unfamiliar to them.

One of the primary challenges for instructors teaching real analysis is to bridge the gap between a student's preparation and the mathematical skills necessary for success in the course. This requires a thoughtful approach that ensures students are equipped with the necessary tools and techniques to tackle the complex problems encountered in real analysis.

Real Analysis: With Proof Strategies aims to address this bridging-the-gap problem. The book not only presents the fundamental theorems of real analysis but also guides the reader through the process of composing and producing proofs for these theorems. The detailed explanations, rigorous approach, and proof strategies offered in this textbook will be valuable to readers of all levels, including junior and senior undergraduates majoring in mathematics.

One of the key features of Real Analysis: With Proof Strategies is its explicit focus on teaching the reader how to construct and prove the basic theorems in real analysis. The book provides step-by-step instructions and examples that help students understand the logical reasoning and mathematical techniques involved in proving these theorems. This approach not only enhances the student's understanding of the subject but also develops their analytical and problem-solving skills.

The textbook is designed to be suitable for junior or senior undergraduates majoring in mathematics. It assumes a basic understanding of calculus and linear algebra, and builds upon these foundations to introduce the advanced concepts and theories of real analysis. The text is well-organized, with clear headings, subheadings, and illustrations that aid in comprehension.

In conclusion, Real Analysis: With Proof Strategies is a valuable resource for students seeking to excel in real analysis. The book's explicit focus on proof construction and production, combined with its rigorous and comprehensive approach, provides students with the tools and techniques necessary to tackle the challenges of this complex subject. Whether you are a novice or an experienced mathematician, this textbook will undoubtedly enhance your understanding and appreciation of real analysis.

Weight: 704g
Dimension: 184 x 261 x 23 (mm)
ISBN-13: 9780367549657