Neil R. Nicholson
A Transition to Proof: An Introduction to Advanced Mathematics
A Transition to Proof: An Introduction to Advanced Mathematics
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- More about A Transition to Proof: An Introduction to Advanced Mathematics
A Transition to Proof: An Introduction to Advanced Mathematics emphasizes the creativity, intuition, and correct mathematical exposition in preparing students for courses beyond the calculus sequence. It includes chapters on cardinality and introductory topology and encourages readers to work to define their mathematical voices.
Format: Paperback / softback
Length: 464 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd
Provides detailed examples and exercises to reinforce learning
A Transition to Proof: An Introduction to Advanced Mathematics delves into the art of writing proofs, encompassing a comprehensive process that goes beyond mere formulaic execution. It explores the intricate thought processes, scratch work, and problem-solving strategies employed in constructing mathematical proofs. By undertaking this journey, readers not only acquire the skills of writing mathematics but also develop a deep understanding of the mathematical concepts themselves. Moreover, they learn to communicate mathematics effectively, enabling them to engage with peers and professionals in the field.
The text emphasizes the importance of creativity, intuition, and precise mathematical exposition as it prepares students for courses beyond the calculus sequence. It encourages readers to cultivate their mathematical voices, fostering a unique style and adherence to rigorous mathematical conventions. Throughout the text, eye-catching text-boxes present style tips and strict mathematical dos and donts, reinforcing learning and enhancing comprehension.
The book is structured to cater to transition courses, guiding students toward the realm of analysis. It begins by establishing the language of proof in the first two chapters, covering logic and set theory. Subsequent chapters delve into cardinality and introductory topology, providing detailed examples and exercises to reinforce learning.
By embracing the creative process and honing their mathematical skills, readers will be well-equipped to tackle advanced mathematical concepts and contribute to the field with confidence and proficiency. A Transition to Proof serves as a valuable resource for students embarking on their mathematical journey, equipping them with the tools they need to excel in their studies and pursue their passions for mathematics.
Weight: 860g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032475721
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