I was thirty-three years of age when I bought this excellent little library. I could hardly believe that I possessed such a treasure when I looked back on the day that I first saw the mysterious word "Algebra," and the long course of years in which I had persevered almost without hope. It taught me never to despair. I had now the means, and pursued my studies with increased assiduity; concealment was no longer possible, nor was it attempted. I was considered eccentric and foolish, and my conduct was highly disapproved of by many, especially by some members of my own family, as will be seen hereafter. They expected me to entertain and keep a gay house for them, and in that they were disappointed. As I was quite independent, I did not care for their criticism. A great part of the day I was occupied with my children; in the evening I worked, played piquet with my father, or played on the piano, sometimes with violin accompaniment. * * * * * This was the most brilliant period of the _Edinburgh Review_; it was planned and conducted with consummate talent by a small society of men of the most liberal principles. Their powerful articles gave a severe and lasting blow to the oppressive and illiberal spirit which had hitherto prevailed. I became acquainted with some of these illustrious men, and with many of their immediate successors. I then met Henry Brougham, who had so remarkable an influence on my future life. His sister had been my early companion, and while visiting her I saw her mother--a fine, intelligent old lady, a niece of Robertson the historian. I had seen the Rev. Sydney Smith, that celebrated wit and able contributor to the _Review_, at Burntisland, where he and his wife came for sea-bathing. Long afterwards we lived on the most friendly terms till their deaths. Of that older group no one was more celebrated than Professor Playfair. He knew that I was reading the "Mecanique Celeste," and asked me how I got on? I told him that I was stopped short by a difficulty now and then, but I persevered till I got over it. He said, "You would do better to read on for a few pages and return to it again, it will then no longer seem so difficult." I invariably followed his advice and with much success. Professor Playfair was a man of the most varied accomplishments and of the highest scientific distinction. He was an elderly man when I first became acquainted with him, by no means good-looking, but with a benevolent expression, somewhat concealed by the large spectacles he always wore. His manner was gravely cheerful; he was perfectly amiable, and was both respected and loved, but he could be a severe though just critic. He liked female society, and, philosopher as he was, marked attention from the sex obviously flattered him.