The Brazilian-born Croatian has, pending the receipt of a work permit, agreed a four-year deal after leaving Dinamo Zagreb.
Details of the transfer fee have not been disclosed but Arsenal are understood to have paid in the region of £7.5million for the 24-year-old.
And although not intended to be an instant replacement for departed captain Thierry Henry, he has shown his ability to score consistently and he is ready for the challenge.
"For any football player, it is an honour to play for Arsenal," said the forward, who has opted to have the name Eduardo on his number nine shirt for the Gunners.
"I was lucky it was me that they chose to sign, so I hope to fulfil their expectations.
"Arsenal play with the ball on the floor, it is all about passing the ball rather than playing long balls forward. That is why I should fit in well."
Eduardo told the club's website: "It [England] is a bit different to Croatia; the stadiums are bigger, there are more people watching - that is the one of the great things.
"I will give my best to adapt to the groups and the stadiums as quickly I can."
The striker added: "The physical side of the league is pretty much the same. It is football after all.
"Technically it is the same too - the only difference is the discipline and the concentration.
"I am fully prepared to face this difficult challenge."
Eduardo - who moved to Europe at the age of 15 and took Croatian nationality in 2002 - brings a proven track record with him to Emirates Stadium.
Coincidentally it was Eduardo who grabbed the first competitive goal at Emirates Stadium when the Gunners beat Dinamo during last season's Champions League third qualifying round in late August.
He has also proven himself no slouch at international level, scoring against England during the Euro 2008 qualifier victory in Zagreb last October.
Just how quickly last season's record top scorer in the Croatian domestic championship can adapt to the rigours of English top-flight football remains to be seen.
However, Eduardo is more than ready to face the challenge - having been given the low-down by his national team boss Slaven Bilic, who had spells at West Ham and Everton.
Eduardo it is now all about what he can achieve with Arsenal, rather than looking to fill the gaping void left by Henry's departure.
"Thierry Henry is one of the best attacking players in the world. He left his mark here, scored many goals and proved himself," reflected the Brazilian-born striker.
"I am arriving now - but when I step on the pitch I want to do the best I can for myself, for Arsenal and also for the fans and try to win as many trophies as possible with the club."
Wenger looks to have again made a shrewd investment, as at 24, the striker's best years are clearly in front of him.
Eduardo will shortly link up with the rest of his new team-mates as pre-season training steps up a gear ahead of the Emirates Cup at the end of the month.
With Robin van Persie back from his broken foot and the return of young Dane Nicolas Bendtner from a loan spell at Birmingham, not to mention Togo striker Emmanuel Adebayor, Wenger will certainly have plenty of attacking options available next season.
The Arsenal manager believes his new signing will slot straight into the squad.
"He has great qualities and will integrate very well into our style of football," said Wenger.
"He is a very good finisher and although he is predominantly a striker, he is a very adaptable player."
The Gunners boss continued: "I have known about him for a while, but his performances against us in last year's Champions League really showed what a dangerous player he is.
"He is a pacy, intelligent player. Also, he is hardworking and has a very good team ethic to his game.
"Eduardo will be a great asset for us and we are all looking forward to him."
Wenger is now expected to focus on bolstering his defensive options, with a £6million deal for Auxerre full-back Bakary Sagna said to be in the pipeline.