13 - Some Diophantine Equations

Table of contents

• 13.1 Fermat’s Last Theorem
• 13.2 The Equation x^2 + y^2 = z^2
• 13.3 The Equation x^4 + y^4 = z^4
• 13.4 The Equation x^3 + y^3 = z^3
• 13.5 The Equation x^3 + y^3 = 3z^3
• 13.6 The Expression of a Rational as a Sum of Rational Cubes
• 13.7 The Equation x^3 + y^3 + z^3 = t^3

13.1 Fermat’s Last Theorem

13.2 The Equation $x^2+y^2=z^2$

13.3 The Equation $x^4+y^4=z^4$

13.4 The Equation $x^3+y^3=z^3$

13.5 The Equation $x^3+y^3=3z^3$

13.6 The Expression of a Rational as a Sum of Rational Cubes

13.7 The Equation $x^3+y^3+z^3=t^3$