eBook - PDF

Sets, Groups, and Mappings

Name: Sets, Groups, and Mappings
Author: Andrew D. Hwang

An Introduction to Abstract Mathematics

Andrew D. Hwang,

English
PDF
Available on iOS & Android

eBook - PDF

Sets, Groups, and Mappings

An Introduction to Abstract Mathematics

Andrew D. Hwang,

About this book

This book introduces students to the world of advanced mathematics using algebraic structures as a unifying theme. Having no prerequisites beyond precalculus and an interest in abstract reasoning, the book is suitable for students of math education, computer science or physics who are looking for an easy-going entry into discrete mathematics, induction and recursion, groups and symmetry, and plane geometry. In its presentation, the book takes special care to forge linguistic and conceptual links between formal precision and underlying intuition, tending toward the concrete, but continually aiming to extend students' comfort with abstraction, experimentation, and non-trivial computation.The main part of the book can be used as the basis for a transition-to-proofs course that balances theory with examples, logical care with intuitive plausibility, and has sufficient informality to be accessible to students with disparate backgrounds. For students and instructors who wish to go further, the book also explores the Sylow theorems, classification of finitely-generated Abelian groups, and discrete groups of Euclidean plane transformations.

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Yes, you can access Sets, Groups, and Mappings by Andrew D. Hwang in PDF and/or ePUB format, as well as other popular books in Matemáticas & Álgebra abstracta. We have over one million books available in our catalogue for you to explore.