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Introduction to Proofs in Mathematics by James Franklin, Albert Daoud
Introduction to Proofs in Mathematics by James Franklin, Albert Daoud
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Many students find the transition to university-level mathematics challenging, particularly when faced with the requirement to construct rigorous proofs. This essential guide bridges that gap by providing a structured, accessible approach to understanding and writing mathematical arguments. Rather than relying on abstract symbolic logic, the authors focus on the practical application of reasoning, using familiar arithmetic and standard first-year topics like calculus and linear algebra to demonstrate key concepts.
The text emphasises strategy and tactics, equipping readers with the skills needed to build convincing proofs from the ground up. By focusing on the logic behind "all" and "some" statements, and covering techniques such as mathematical induction and contradiction, the book ensures that readers develop a solid foundation for more advanced study. Whether you are a student of mathematics or computing, this volume serves as a clear, encouraging companion that demystifies the art of theorem proving. With numerous worked examples and practical exercises, it is an indispensable resource for anyone looking to master the logical structures that form the core of modern mathematics.
Used (good, see images, some yellowing and minor cover wear)
Softcover
ISBN 0724810099
Many students find the transition to university-level mathematics challenging, particularly when faced with the requirement to construct rigorous proofs. This essential guide bridges that gap by providing a structured, accessible approach to understanding and writing mathematical arguments. Rather than relying on abstract symbolic logic, the authors focus on the practical application of reasoning, using familiar arithmetic and standard first-year topics like calculus and linear algebra to demonstrate key concepts.
The text emphasises strategy and tactics, equipping readers with the skills needed to build convincing proofs from the ground up. By focusing on the logic behind "all" and "some" statements, and covering techniques such as mathematical induction and contradiction, the book ensures that readers develop a solid foundation for more advanced study. Whether you are a student of mathematics or computing, this volume serves as a clear, encouraging companion that demystifies the art of theorem proving. With numerous worked examples and practical exercises, it is an indispensable resource for anyone looking to master the logical structures that form the core of modern mathematics.
Used (good, see images, some yellowing and minor cover wear)
Softcover
ISBN 0724810099
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