Adhan is the call to prayer that is recited from mosques before each of the five daily prayers. It informs Muslims about the beginning of prayer time and calls them to pray together in congregation. If someone wants to pray alone at home or elsewhere, it's not obligatory to recite adhan before prayer, but it is recommended.
The Adhan consists of the following words:
اَللهُ أَكْبَرُ اَللهُ أَكْبَرُ اَللهُ أَكْبَرُ اَللهُ أَكْبَرُ
ALLAHU AKBAR, ALLAHU AKBAR, ALLAHU AKBAR, ALLAHU AKBAR
Allah is the Greatest, Allah is the Greatest, Allah is the Greatest, Allah is the Greatest
أَشْهَدُ أَنْ لاَ إِلَهَ إِلاَّ اللهُ أَشْهَدُ أَنْ لاَ إِلَهَ إِلاَّ اللهُ
ASH-HADU AN LA ILAHA ILLALLAH, ASH-HADU AN LA ILAHA ILLALLAH
I bear witness that there is no god but Allah, I bear witness that there is no god but Allah
أَشْهَدُ أَنَّ مُحَمَّدًا رَسُولُ اللهِ أَشْهَدُ أَنَّ مُحَمَّدًا رَسُولُ اللهِ
ASH-HADU ANNA MUHAMMADAN RASULULLAH, ASH-HADU ANNA MUHAMMADAN RASULULLAH
I bear witness that Muhammad is the Messenger of Allah, I bear witness that Muhammad is the Messenger of Allah
حَيَّ عَلَى الصَّلاَةِ حَيَّ عَلَى الصَّلاَةِ
HAYYA 'ALAS-SALAH, HAYYA 'ALAS-SALAH
Come to prayer, Come to prayer
حَيَّ عَلَى الْفَلاَحِ حَيَّ عَلَى الْفَلاَحِ
HAYYA 'ALAL-FALAH, HAYYA 'ALAL-FALAH
Come to success, Come to success
اَللهُ أَكْبَرُ اَللهُ أَكْبَرُ
ALLAHU AKBAR, ALLAHU AKBAR
Allah is the Greatest, Allah is the Greatest
There is no god but Allah
In the Fajr adhan, after the words 'Hayya 'alal-falah', these words are added:
اَلصَّلاَةُ خَيْرٌ مِنَ النَّوْمِ اَلصَّلاَةُ خَيْرٌ مِنَ النَّوْمِ
AS-SALATU KHAYRUN MINAN-NAWM, AS-SALATU KHAYRUN MINAN-NAWM
Prayer is better than sleep, Prayer is better than sleep
Iqamah is the second call that is recited immediately before beginning the obligatory prayer. The text is the same as in adhan, except there is an addition after 'Hayya alal-falah' which states:
قَدْ قَامَتِ الصَّلاَةُ قَدْ قَامَتِ الصَّلاَةُ
QAD QAMATIS-SALAH, QAD QAMATIS-SALAH
Prayer has begun, Prayer has begun
It is Sunnah (recommended) for the one who hears the adhan to repeat the words after the muezzin, except when the muezzin says 'Hayya alas-salah' and 'Hayya alal-falah', then one responds with:
لاَ حَوْلَ وَلاَ قُوَّةَ إِلاَّ بِاللهِ
LA HAWLA WA LA QUWWATA ILLA BILLAH
There is no power nor might except with Allah
Note: Women are not obligated to recite either adhan or iqamah, whether praying alone or in a group, but when they hear the adhan, they may repeat its words.
After the adhan, it is recommended to recite this supplication:
اللَّهُمَّ رَبَّ هَذِهِ الدَّعْوَةِ التَّامَّةِ وَالصَّلاَةِ الْقَائِمَةِ آتِ مُحَمَّدًا الْوَسِيلَةَ وَالْفَضِيلَةَ وَابْعَثْهُ مَقَامًا مَحْمُودًا الَّذِي وَعَدْتَهُ
ALLAHUMMA RABBA HADHIHID-DA'WATIT-TAMMAH, WAS-SALATIL-QA'IMAH, ATI MUHAMMAADANIL-WASILATA WAL-FADILAH, WAB'ATHHU MAQAMAM-MAHMUDAN-ALLADHI WA'ADTAH
O Allah, Lord of this perfect call and the prayer to be offered, grant Muhammad the station of Al-Wasilah and honor, and raise him to the praiseworthy position that You have promised him