Liu Elements Of Discrete Mathematics Pdf Upd
This is where Liu shines. He covers Cartesian products, equivalence relations (reflexive, symmetric, transitive), partial orders, and Hasse diagrams. Functions are treated as special relations, covering injection, surjection, and bijection.
If the search for "liu elements of discrete mathematics pdf upd" fails, consider these free or updated resources: liu elements of discrete mathematics pdf upd
| Resource | Format | Last Updated | Best For | | :--- | :--- | :--- | :--- | | Discrete Math Notes (MIT OCW) | Web/PDF | 2023 | Video lectures + problem sets | | Mathematics for Computer Science (Lehman, Leighton, Meyer) | Free PDF | 2018 | Same rigor as Liu, more modern examples | | Book of Proof (Hammack) | Free PDF | 2022 | Focus on proofs; complements Liu well | | Rosen’s Discrete Math (7th Ed) | Paid/eBook | 2012 | More problems, but verbose | This is where Liu shines
| Source | Format | Cost | Notes | |--------|--------|------|-------| | McGraw-Hill (direct) | Print only | ~$80-150 | Out of print, but check used. | | Amazon / AbeBooks | Print used | $20-50 | Search ISBN 978-0070381335 | | Internet Archive (archive.org) | Borrowable scan | Free (with account) | Often the 1st ed, but search carefully. | | Your university library | Print or scan | Free | Best bet for legal access. | | Springer / Pearson | No | – | They don’t carry this title. | ISBN (2nd Ed): 978-0070381335
⚠️ Warning: Many “free PDF” sites claiming a 2023 or 2024 “updated” version are fake or malware. Don’t download random PDFs from unknown sites.