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Introduction to Mathematical Proofs : Textbooks in Mathematics - Charles E. Roberts Jr.

Introduction to Mathematical Proofs

By: Charles E. Roberts Jr.

eText | 17 December 2014 | Edition Number 2

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Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs. This book is designed to prepare students for higher mathematics by focusing on the development of theorems and proofs. Beginning with logic, the text discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory.

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Non-FictionMathematicsMathematical FoundationSet TheoryCalculus & Mathematical AnalysisFunctional Analysis & TransformsDiscrete MathematicsMathematical Logic

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Published: 14th October 2024

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