Proofs and ideas: a prelude to advanced mathematics
"Proofs and Ideas serves as a gentle introduction to advanced mathematics for students who previously have not had extensive exposure to proofs. It is intended to ease the student's transition from algorithmic mathematics to the world of mathematics that is built around proofs and concepts.The spirit of the book is that the basic tools of abstract mathematics are best developed in context and that creativity and imagination are at the core of mathematics. So, while the book has chapters on stat…
Read More ↓Title Statements
- Full title :Proofs and ideas : a prelude to advanced mathematics / B. Sethuraman.
Summary
"Proofs and Ideas serves as a gentle introduction to advanced mathematics for students who previously have not had extensive exposure to proofs. It is intended to ease the student's transition from algorithmic mathematics to the world of mathematics that is built around proofs and concepts.The spirit of the book is that the basic tools of abstract mathematics are best developed in context and that creativity and imagination are at the core of mathematics. So, while the book has chapters on statements and sets and functions and induction, the bulk of the book focuses on core mathematical ideas and on developing intuition. Along with chapters on elementary combinatorics and beginning number theory, this book contains introductory chapters on real analysis, group theory, and graph theory that serve as gentle first exposures to their respective areas. The book contains hundreds of exercises, both routine and non-routine.This book has been used for a transition to advanced mathematics courses at California State University, Northridge, as well as for a general education course on mathematical reasoning at Krea University, India." -- Page 4 de la couverture.
Read More ↓Edition Statements
- Publication Date:2022
Publication Statements
- Publisher(s):MAA Press, an imprint of the American Mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:2022
Notes
Comprend un index.
The Physical Object
- Description:xiii, 334 pages : : illustrations, graphiques ; : 26 cm
Edition Identifiers
- ISBN:9781470465148, 1470465140
- oclc:on1351088756
- LC Classification:QA37.3
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Mathematik
Learning mathematics and Logo
History in mathematics education: the ICMI study
Files & Downloads
-
Proofs and Ideas: A Prelude to Advanced Mathemati…
PDF · 21.2 MB · updated -
Notices of the American Mathematical Society -- (…
PDF · 111.8 MB · updated
Rate & Review