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Prepping for Pure Mathematics: A Starter's Guide to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, an
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Prepping for Pure MathematicsPrepping for Pure Mathematics consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. The 8 lessons in this book cover elementary material from each of these 8 topics. This book is for math students that are ready to start learning some more advanced mathematics, but are not quite ready to dive into proofwriting. Prepping for Pure Mathematics is perfect for
Introduction
Lesson 1 - Logic
Lesson 2 - Set Theory
Lesson 3 - Abstract Algebra
Lesson 4 - Number Theory
Lesson 5 - Real Analysis
Lesson 6 - Topology
Lesson 7 - Complex Analysis
Lesson 8 - Linear Algebra
- students wishing to begin learning advanced mathematics, but that are not quite ready to start writing proofs.
- high school teachers that want to expose their students to the ideas of advanced mathematics without getting into mathematical rigor.
- professors that wish to introduce higher mathematics to non-stem majors.
- 8 lessons in 8 subject areas.
- Examples and exercises throughout each lesson.
- A problem set after each lesson arranged by difficulty level.
- A complete solution guide is included as a downloadable PDF file.
Introduction
Lesson 1 - Logic
Lesson 2 - Set Theory
Lesson 3 - Abstract Algebra
Lesson 4 - Number Theory
Lesson 5 - Real Analysis
Lesson 6 - Topology
Lesson 7 - Complex Analysis
Lesson 8 - Linear Algebra