He entered Magdalene College, Cambridge as a sizar and became Senior wrangler in 1757.
Dia di Magdalene College, Cambridge sebagai sizar dan menjadi Senior wrangler pada 1757.
He was elected a Fellow of Magdalene and in 1760 Lucasian Professor of Mathematics, holding the chair until his death.
Dia terpilih sebagai Anggota Magdalena dan pada tahun 1760 Profesor Matematika Lucasian, memegang kursi sampai kematiannya.
He made the assertion known as Waring's problem without proof in his writings Meditationes Algebraicae.
Dia membuat pernyataan yang dikenal sebagai Masalah Waring tanpa bukti dalam tulisannya Meditationes Algebraicae .
Waring was elected a Fellow of the Royal Society in 1763 and awarded the Copley Medal in 1784.
Waring terpilih sebagai Fellow of the Royal Society pada tahun 1763 dan dianugerahi Copley Medal pada tahun 1784.
Waring wrote a number of papers in the Philosophical Transactions of the Royal Society, dealing with the resolution of algebraic equations, number theory, series, approximation of roots, interpolation, the geometry of conic sections, and dynamics.
Waring menulis sejumlah makalah Philosophical Transactions of the Royal Society , berurusan dengan resolusi persamaan aljabar, teori bilangan, deret, pendekatan akar, interpolasi, geometri bagian kerucut, dan dinamika.
The Meditationes Algebraicae (1770), where many of the results published in Miscellanea Analytica were reworked and expanded, was described by Joseph-Louis Lagrange as 'a work full of excellent researches'.
The Meditationes Algebraicae (1770), di mana banyak dari hasil yang diterbitkan di Miscellanea Analytica dikerjakan ulang dan diperluas, dijelaskan oleh Joseph-Louis Lagrange sebagai 'sebuah karya yang penuh dengan penelitian yang baik'.
In this work Waring published many theorems concerning the solution of algebraic equations which attracted the attention of continental mathematicians, but his best results are in number theory.
Dalam karya ini Waring menerbitkan banyak teorema tentang solusi persamaan aljabar yang menarik perhatian matematikawan kontinental, hasil penelitian terbaiknya yaitu teori bilangan.
He also advanced the hypothesis that every positive integer is either a biquadrate (fourth power) or the sum of not more than nineteen biquadrates.
Dia juga mengajukan hipotesis bahwa setiap bilangan bulat positif adalah biquadrate (pangkat empat) atau jumlah tidak lebih dari sembilan belas biquadrates.
These hypotheses form what is known as Waring's problem.
Hipotesis ini membentuk apa yang dikenal sebagai Masalah Waring.
He also published a theorem, due to his friend John Wilson, concerning prime numbers; it was later proven rigorously by Lagrange.
Dia juga menerbitkan sebuah teorema, karena temannya John Wilson, tentang bilangan prima; hal itu kemudian dibuktikan secara ketat oleh Lagrange.
He devoted himself to the classification of higher plane curves, improving results obtained by Isaac Newton, James Stirling, Leonhard Euler, and Gabriel Cramer.
Dia mengabdikan dirinya pada klasifikasi kurva bidang yang lebih tinggi, meningkatkan hasil yang diperoleh Isaac Newton, James Stirling, Leonhard Euler, dan Gabriel Cramer.
In 1794 he published a few copies of a philosophical work entitled An Essay on the Principles of Human Knowledge, which were circulated among his friends.
Pada 1794 ia menerbitkan beberapa salinan dari sebuah karya filosofis berjudul An Essay on the Principles of Human Knowledge , yang diedarkan di antara teman-temannya.
During his last years he sank into a deep religious melancholy, and a violent cold caused his death, in Plealey, on 15 August 1798.
Selama bertahun-tahun terakhirnya dalam kesedihan religius yang dalam, dan hawa dingin yang hebat menyebabkan kematiannya, di Plealey, pada tanggal 15 Agustus 1798.
He was buried in the churchyard at Fitz, Shropshire.
Dia dimakamkan di halaman gereja di Fitz, Shropshire.