The Annotated Alice: The Definitive Edition introduction and notes by Martin Gardner.
Published by Allen Lane, The Penguin Press 2000. Hardback with dust-jacket.
The original book was first published in 1960. It has been reprinted several times and translated into Italian, Japanese, Portuguese, Russian, Spanish and Hebrew.
Reviews:
‘A landmark, bringing together a lifetime’s work on Lewis Carroll by writer and mathematician Martin Gardner. He dazzles on Carroll’s puzzles and games of logic and entertains on everything from Alice’s influence on the Beat poet Jack Kerouac to how mercury in hat linings turned hatters mad…it is unsurpassed’ – Jackie Wullschlager, Financial Times
‘The indispensable guide to a classic of English literature…no one who has ever wondered about the meaning of ‘Jabberwocky’ should fail to include on their Christmas list’ – Robert McCrum, Observer
ISBN: 0713994177
I have this older version as well: it was Dad’s.
Alice in the Internet 
Loved this book, but it just fell apart in the end. Shame Folio doesn’t have an edition of it!