This book introduces students to the art and craft of writing
proofs, beginning with the basics of writing proofs and logic, and
continuing on with more in-depth issues and examples of creating
proofs in different parts of mathematics, as well as introducing
proofs-of-correctness for algorithms. The creation of proofs is
covered for theorems in both discrete and continuous mathematics,
and in difficulty ranging from elementary to beginning graduate
level.Just beyond the standard introductory courses on calculus,
theorems and proofs become central to mathematics. Students often
find this emphasis difficult and new. This book is a guide to
understanding and creating proofs. It explains the standard "moves"
in mathematical proofs: direct computation, expanding definitions,
proof by contradiction, proof by induction, as well as choosing
notation and strategies.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
|
Country of origin: |
Singapore |
Release date: |
July 2015 |
First published: |
2015 |
Authors: |
David Stewart
• Suely Oliveira
|
Dimensions: |
231 x 171 x 13mm (L x W x T) |
Format: |
Paperback
|
Pages: |
176 |
ISBN-13: |
978-981-4641-30-2 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
981-4641-30-8 |
Barcode: |
9789814641302 |
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