2014 Reprint of 1961 version. complete facsimile of the unique version. no longer reproduced with Optical popularity software program. The booklet is dedicated to at least one of the main fascinating branches of quantity idea, the answer of equations in integers. the answer in integers of algebraic equations in additional than one unknown with indispensable coefficients is a such a lot tough challenge within the thought of numbers. The theoretical significance of equations with critical coefficients is sort of nice as they're heavily attached with many difficulties of quantity idea. in addition, those equations are often encountered in physics and they also are very important in perform. the weather of the speculation of equations with quintessential coefficients as provided during this booklet are compatible for broadening the mathematical outlook of high-school scholars and scholars of pedagogical institutes. a number of the major ends up in the speculation of the answer of equations in integers were given and proofs of the theorems concerned are provided after they are sufficiently easy.

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