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All book companies promote their books as the best. The country you are in has their preferred English, be it British or American. Your school may even have their own preference which is not the country's basic English. And even your student would argue with you which one should be used in class. So which one?
Depends on which English you are studying. Are you on ESP? ESL? EFL? Do you need one for the adult advance learners? or highschool kids? Do you need jargons? General English vocabs? Do you need a Brit dictionary? An American? Which English is used in your school?
Oxford has, Cambridge has, Webster even has one, plus a few others which are not so popular. Try these three, check there first few pages with the table of content. See what they offer, their especialty, whom they cater to, if they are academic, they are bilingual if needed, and if they suit perfectly to your immediate need. Like Oxford, this is academic and is designed especially for EFL. So if you are looking for one you can use in a non English speaking country and Oxford is available there, take one. Still read on the others first before making a decision which one to buy. You wouldn't want to end up insulting the guy who wrote this advice, uh huh?
English advanced learner's dictionaries share some features, and differ in the way they explore words and show them.
I think that if you want to make use of dictionaries, you should not resort to one dictionary only. Rather you should make use of all the dictionaries available.However, if you are in a situation where you can't access more than one dictionary, then, in my opinion, you should use Longman (LDOCE). I find it more explanatory and suitable for fast-paced work than the others I know.
Regarding the computer versions of dictionaries, if you have access to the internet, I think you can make use of their websites, such as: oxforddictionaries.com. If you do not, then you can use their applications. Either way, you can make great use of their word origins, examples, pronunciation, thesaurus, synonyms, collocations, grammar points, etc. They can enrich you with great information.
So, I think the computer versions of the dictionaries are the best.
I hope my answer will be useful for you as the dictionary you will choose. :)
Oxford and Merriam Webster
In my opinion, the best English advanced learner’s dictionary is Oxford Advanced Learner’s Dictionary
It contains;
a. Oxford iSpeaker
The iSpeaker helps you to develop your pronunciation and speaking skills.
b. Oxford IWriter
The iWriter shows you how to plan, write and review your written work.
c. My Wordlists
With My Wordlists you can create your own wordlists and test yourself on them.
I think Oxford dictionary is the best. ......
This video sums things up pretty nicely:https://www.youtube.com/watch?v=8es0YOlDzLY
Oxford Learner's Dictionary
Marirem Webster English Dictionary
For me Oxford is the easiest one.