All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson 75]. In "part I'' we find the foundational material, the basic definitions and theorems. In "part II" we find the examples and applications. Slowly we begin to understand why we read part I. Historically this is an anachronism. Pedagogically it is a disaster. Part II in fact predates part I, so clearly it can be taught first. Why should the student have to wade through hundreds of pages before finding out what the subject is good for? In teaching complex analysis this way, we risk more than just boredom. Beginning with a series of unmotivated definitions gives a misleading impression of complex analy sis in particular and of mathematics in general. The classical theory of analytic functions did not arise from the idle speculation of bored mathematicians on the possible conse quences of an arbitrary set of definitions; it was the natural, even inevitable, consequence of the practical need to answer questions about specific examples. In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric functions as examples, students inevitably begin to believe that the purpose of complex analysis is to produce more such theorems. We require introductory com plex analysis courses of our undergraduates and graduates because it is useful both within mathematics and beyond."

The Natal Carbineers participated in the invasion of Zululand in January 1879, and on 22 January, 23 members of the Regiment perished in the famous battle of Isandlwana. The unit was subsequently relegated to garrison duties at Landman's Drift on the Mzinyathi, or Buffalo River.In September 1899, the Natal Carbineers was mobilized for active service in the British campaign to subdue the Boer republics of the Transvaal and Orange Free State. Ladysmith, KwaZulu-Natal: From 2 November 1899 until 28 February 1900 the bulk of the Natal Carbineers was besieged in Ladysmith, and played a prominent part in that famous siege. The most prominent military action was the attack by Colonial Forces on the Boer artillery emplacement at Gun Hill on the night of 7-8 December 1899. The Regiment lost heavily from the diseases that ravaged the garrison. A solitary squadron of the Natal Carbineers, the Estcourt-Weenen Squadron, avoided the siege of Ladysmith, and instead participated in the relief operations of Sir Redvers Buller. This squadron's most notable military action of this period was the disastrous battle of Colenso on 15 December 1899, when four men were killed. These were the most serious losses for any one action during the Anglo-Boer War.The Natal Carbineers saw extensive service in the Natal (or Bambatha) Uprising of 1906. From February to July 1906 the Regiment participated in the numerous sweeps and drives through the mountainous terrain of Zululand, as the Natal Colonial forces sought to trap and destroy the elusive 'rebel' warriors. The Carbineers were present at the decisive battle at Mhome Gorge on 10 June, where the back of the uprising was broken.