Pyrex® is a trademarked brand name of glass stovetop and baking ware.
The disadvantage of glass cookware is that it does not conduct heat as well as metal does. The advantages of it are that it looks more "sanitary", is more resistant to caustic chemicals, and that you can see through it to see what's happening inside. For this reason, it's used a lot in cooking demonstrations and on cooking shows, so that the viewers can see what's happening inside the cooking or baking vessels.
The Pyrex company also make saucepans, but they can be quite heavy for picking up with one hand when they are full. Amber coloured saucepans were popular for a while in the 1960s and 1970s.
At one point, even irons for ironing clothes were made out of Pyrex. The glass is now also being used for "adult toys."
The generic term for Pyrex glass has been borosilicate glass, though this is no longer universally true. Borosilicate glass has "boron" in it instead of soda.
The Pyrex brand in Europe is now owned by a company called Arc International. Arc International still uses borosilicate glass in making its Pyrex.
In North America, the Pyrex brand is now owned by World Kitchen International since 1998, and made in Charleroi, Pennsylvania. World Kitchen makes all its Pyrex with tempered "lime glass" instead of borosilicate glass. Consumer reports starting to amass are suggesting that contemporary Pyrex may be less durable and less heat-resistant than the "old stuff", but World Kitchen disputes this.  World Kitchen continues to make glassware for laboratories with borosilicate glass.
Do not use Pyrex labelled "Bakeware" on the stove top, in a toaster oven, or with the broiler on.
Otto Schott (1851 - 1935) is generally credited, however, with the invention of borosilicate glass, however. His father was a glassmaker in Witten, Westphalia, Germany. Otto studied science in university and wrote a thesis on glass. In 1884, Otto joined Carl Zeiss and Ernst Abbe in founding the "Schott & Associates Glass Technology Laboratory", which has evolved today into the world-wide Schott company. Sometime between 1887 and 1893, modern refined borosilicate glass emerged from Schott's research, and his company introduced it commercially in the summer of 1893. The focus at first was on optical products. (Zeiss had specialized in products such as microscopes.) 
The Schott company used, and still uses, the brand name of Duran® for its borosilicate glass.
The Corning company of Corning, New York, began working with borosilicate glass in the late 1800s as well.
Normal glass is "soda lime silica" glass, made from sand, soda, and limestone, with a "thermal expansion coefficient" of 90~100 x 10-7/ C. Borosilicate's "thermal expansion coefficient" is 32~35 x 10-7/C, only about 1/3 of that of regular glass, which is what makes it stronger. It is also about 15% lighter than glass, and has a small amount of aluminium in it to keep it clear.
But, because borosilicate glass has a higher heat resistance than regular glass, the old glass blowing torches wouldn't work on it. They weren't hot enough. New torches had to be designed.
Corning first sold the glass as "Nonex" glass for railway signals and lanterns. Previously, external glass lanterns on trains were cracking because they had a hot flame inside, heating up the glass, which then shattered when moistened with rain or snow. Sales of the new glass lanterns were so good that they put themselves out of business in that market -- the glass lasted and so didn't need replacing. Corning had to find another market for the glass.
In 1911, they began work on adjusting the formula for the glass so that it could be used for kitchenware. By 1915, they had products and an advertising campaign ready. They also prepared to market it as clear heat-resistant glassware in laboratories for lab use as beakers, flasks, measuring jugs, tubes, etc.
In 1915, Pyrex enlisted Sarah Tyson Rorer to promote the product to homemakers.
Pyrex lab and industrial sales did great, while home sales were just okay. The marketing campaign to home-makers positioned Pyrex as efficient and clean, but Art Deco was coming in, and people wanted style. The marketing people did more field work, and found out that for home-makers, the price was too high, and the wares not stylish enough. It also wasn't flame resistant at this point, just heat resistant. This problem, they passed back to the engineers. They reformulated the glass once more, so that it could be used over open flame and on electric elements, and so that it would be more suitable to high volume automated production lines, which would help them reduce the cost as requested.
The kitchenware Pyrex was relaunched around 1924. By the late 1930s, sales started to climb. And during this time, the price dropped. The price of a Pyrex pie plate went from $1.00 in 1920 to 25 cents in 1938.
In 1936, Pyrex introduced Flameware. It was called Flameware to indicate that it could stand up to being used on top of the stove, over flame. For about 10 years, the glass had a bluish tint to it caused by alumino-sulfate added to the glass formula. The lids, though, were always clear. The formula was changed after the Second World War so that all the glass in the product was clear.  Flameware was discontinued in 1979.
Pyrex in the UK was first made by the Wear Flint Glass Works. The Wear Flint company had been started in 1858 by a Mr Angus and a Mr Greener. They ran into financial problems and in 1885, the firm was assumed by a Mr J.A. Jobling of Newcastle, who had been one of their suppliers. When Corning went to England to shop around British Empire rights for Pyrex, none of the big glass making companies was interested. Working down the list, Corning approached the Wear Flint Glass Works, who bought the rights.
Pyrex was a success in Britain. By 1949, the plant had to expand from 1/2 an acre to 6 acres to keep up with the demand. In 1952, the company introduced coloured Pyrex in the UK.
Some of the research over the years for Pyrex was done at the Geophysical Laboratory of the Carnegie Institution, Washington, DC.
 "To use this item on a smooth top stove, simply turn down the heat setting as the glass will actually magnify the heat that is applied on it. Use this item at medium high and lower settings instead of at high heat." -- Correspondence from "Melissa", World Kitchen Customer Care Centre to Carolyn Mason. 22 October 2009.
 Steiner, J. Otto Schott and the invention of borosilicate glass. Glastechnische Berichte. 1993, vol. 66, no6-7, pp. 165-173.
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