It has been claimed that Ampère had mastered all known mathematics by the age of twelve years but this seems somewhat of an exaggeration since, by Ampère's own account, he did not start to read elementary mathematics books until he was 13 years old. However Ampère was always one to feel very confident in his own abilities and he certainly began to develop his own mathematical ideas very quickly and he began to write a treatise on conic sections . Ampère had no contacts with anyone with any depth of mathematical knowledge so it is not surprising that he felt that his ideas were original.
Ito ay inaangkin na Ampère had mastered lahat ng mga kilala sa pamamagitan ng matematika ang edad ng labindalawang taon na ito ngunit tila tila ng isang eksaherasyon dahil, sa pamamagitan ng Ampère sariling account, siya ay hindi magsisimula sa elementarya matematika basahin ang mga libro hanggang siya ay 13 years old. Subalit Ampère ay palaging isa sa pakiramdam napaka-tiwala na sa kanyang sariling kakayahan at siya tiyak ay nagsimulang bumuo ng kanyang sariling matematiko ideya mabilis at siya ay nagsimulang magsulat ng isang treatise sa alimusod seksyon. Ampère had walang contact sa sinuman sa anumang lalim ng matematikal na kaalaman upang ito ay kamangha-mangha na hindi niya nadama na ang kanyang mga ideya ay orihinal.