By Alex Daniel, PA Business Reporter & Lawrence Matheson Mining heavyweight Anglo American has rejected a second, increased takeover bid from industry rival BHP of £34billion. BHP expressed its frustration in a market announcement, stating it was “disappointed” after the South Africa-headquartered Anglo American turned down what would have been the sector’s biggest deal in the sector in a decade. In late April, Anglo American had dismissed a similar proposition that pegged its worth around £31billion, with the firm’s board unanimously deciding it underestimated the company’s true value. The la…