Advanced book on Mathematics Olympiad

792 Index of Notation 〈−→v,−→w〉 inner (dot) product of vectors−→v and−→w −→v ·−→w dot product of vectors−→v and−→w −→v ×−→w cros ...

Index of Notation 793 On then×nzero matrix In then×nidentity matrix detA determinant of the matrixA trA trace of the matrixA A−^ ...

794 Index of Notation sign(σ ) signature of the permutationσ div −→ F divergence of the vector field −→ F curl −→ F curl of the ...

Index AM–GM,seearithmetic mean–geometric mean inequality argument by contradiction, 1 arithmetic mean–geometric mean inequality, ...

796 Index eigenvalue, 79 eigenvector, 79 ellipse, 212 ellipsoid, 219 Euclid’s algorithm, 271 Euclid’s theorem, 1, 254 Euler’s fo ...

Index 797 commutator, 84 rank, 77 transpose conjugate, 71 mean value theorem, 139 Minkowski’s inequality, 157 mod,seemodulo modu ...

798 Index basis, 77 Viète’s relations, 48 Wallis formula, 153 Weierstrass’ criterion,seeWeierstrass’ theorem Weierstrass’ theore ...