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Actions	Notations of the Analytical Engine Remove from selection Add to selection TitleNotations of the Analytical Engine ReferenceBAB/F CreatorBabbage, Charles (1792-1871), mathematician Charles Babbage was born in 1791 in London. He began to show his talent for mathematics and invention from an early age. Following a private education, Babbage went to study at Cambridge in 1810. However, he disagreed with the theories of mathematics taught there and set about supplementing his lectures with European theories of mathematics instead. Babbage established the Analytical Society with a group of fellow mathematics undergraduates. They wrote and published a history of calculus and a translation of Sylvestre Francois Lacroix's book on differential and integral calculus. Whilst still at Cambridge, Babbage speculated about producing a machine to calculate logarithm tables for astronomy and navigation. He graduated in mathematics from Cambridge in 1814 and was made a fellow of the Royal Society in 1816. In 1819 Babbage began to design and construct a reliable mechanical calculator capable of producing and printing accurate tables. By 1822 he had built a small calculating machine, or 'Difference Engine', able to work out complicated equations. With the backing of the Royal Society, Babbage secured an initial government grant of £1,500 to build a larger machine. Work on the Difference Engine began in 1823, but was slower and more expensive than Babbage anticipated. Babbage's progress was further interrupted by personal tragedy when his wife and two of his children died in 1827. By 1834, the government had contributed £17,000 to build the machine. However, Babbage's disagreements with both his engineer, Joseph Clement, and the government meant work on the Difference Engine ceased altogether. In 1842 the government took the final decision to abandon the Difference Engine. By this time, Babbage was working on a more sophisticated engine, the 'Analytical Engine', which could perform multiple calculations, store numbers and be programmed using punched cards. Babbage's detailed drawings reveal the engine to be in many ways analogous to modern computers. He applied what he had learnt to design the 'Difference Engine No. 2', an improved version of his original engine. Babbage continued to work on the design of the Analytical Engine for the rest of his life, creating several different versions of the machine. He was convinced of its usefulness but lacked the funding to build it. The machine was never completed. Although Babbage is best known for his calculating engines, he was a lifelong inventor with a passion for improvement. His designs included an ophthalmoscope, an automaton for playing noughts and crosses, a ‘black box’ recorder for monitoring railway tracks and ‘speaking-tubes’ linking London and Liverpool amongst many other ideas. Babbage was also enthusiastic about promoting the usefulness of science in society. He helped set up the Astronomical Society (1820), the British Association for the Advancement of Science (1831) and the Statistical Society of London (1834). Between 1827 and 1835 he held the Lucasian Chair of Mathematics at Cambridge. He died in London in 1871, still working on the Analytical Engine. In 1991 the Science Museum constructed the Difference Engine No. 2 to commemorate the 200th anniversary of Babbage’s birth. The machine was based on Babbage’s original plans and demonstrated for the first time the viability of his designs. Date 1835 March 16 - 1846 October 3 Scope and ContentThese 388 notations describe how the Analytical Engine functions. They are meant to accompany the mechanical details of the engine given in the Series A drawings. Most of the notations, except in the earliest part of the series, are 'walk throughs' or 'traces' of micro-programs for the different versions of the Analytical Engine. They explain the complex algorithms that Babbage planned to use to perform the various arithmetic functions of addition, subtraction, multiplication, division, extraction of square root and sub-tabulation. The notations allow us to infer much of the functional arrangement and most of the sequence control of the various plans of the Analytical Engine. There are many variations of the Analytical Engine's algorithms. The basic techniques evolved rapidly throughout the first phase of Babbage's work on the engine. Many of the plans represent evolving ideas for the arithmetic algorithms and their control mechanisms that are reflected in the logical structure of the machine, rather than major mechanical innovations. However, algorithmic and mechanical innovations did proceed in parallel with, and interact with, one another. The notations are created and arranged in sets, consisting of large sheets of paper, or multiple sheets glued together, folded to a convenient size. Extent388 sets of notations LanguageEnglish Levelseries Repository nameScience Museum, London Conditions governing accessOpen Access Conditions governing ReproductionCopies may be supplied in accordance with current copyright legislation and Science Museum Group terms and conditions Related object A complete notation of trains for the printing part of the Analytical Engine System of arrangementThe series is arranged numerically in date order. As the sections are not always uniform, it is convenient to be able to refer to parts of these large notations. Thus each area between the folds is called a page and these are numbered from the cover as "page 1" then numbered consecutively to the right, turning over the sheet until reaching the edge. Hierarchy browser BAB The Babbage Papers 1821-1905 fonds contains 26 parts BAB/F Notations of the Analytical Engine 1835 March 16 - 1846 October 3 series contains 396 parts

TitleNotations of the Analytical Engine

ReferenceBAB/F

(1792-1871), mathematician

Charles Babbage was born in 1791 in London. He began to show his talent for mathematics and invention from an early age. Following a private education, Babbage went to study at Cambridge in 1810. However, he disagreed with the theories of mathematics taught there and set about supplementing his lectures with European theories of mathematics instead. Babbage established the Analytical Society with a group of fellow mathematics undergraduates. They wrote and published a history of calculus and a translation of Sylvestre Francois Lacroix's book on differential and integral calculus.

Whilst still at Cambridge, Babbage speculated about producing a machine to calculate logarithm tables for astronomy and navigation. He graduated in mathematics from Cambridge in 1814 and was made a fellow of the Royal Society in 1816. In 1819 Babbage began to design and construct a reliable mechanical calculator capable of producing and printing accurate tables. By 1822 he had built a small calculating machine, or 'Difference Engine', able to work out complicated equations. With the backing of the Royal Society, Babbage secured an initial government grant of £1,500 to build a larger machine.

Work on the Difference Engine began in 1823, but was slower and more expensive than Babbage anticipated. Babbage's progress was further interrupted by personal tragedy when his wife and two of his children died in 1827. By 1834, the government had contributed £17,000 to build the machine. However, Babbage's disagreements with both his engineer, Joseph Clement, and the government meant work on the Difference Engine ceased altogether. In 1842 the government took the final decision to abandon the Difference Engine.

By this time, Babbage was working on a more sophisticated engine, the 'Analytical Engine', which could perform multiple calculations, store numbers and be programmed using punched cards. Babbage's detailed drawings reveal the engine to be in many ways analogous to modern computers. He applied what he had learnt to design the 'Difference Engine No. 2', an improved version of his original engine.

Babbage continued to work on the design of the Analytical Engine for the rest of his life, creating several different versions of the machine. He was convinced of its usefulness but lacked the funding to build it. The machine was never completed.

Although Babbage is best known for his calculating engines, he was a lifelong inventor with a passion for improvement. His designs included an ophthalmoscope, an automaton for playing noughts and crosses, a ‘black box’ recorder for monitoring railway tracks and ‘speaking-tubes’ linking London and Liverpool amongst many other ideas.

Babbage was also enthusiastic about promoting the usefulness of science in society. He helped set up the Astronomical Society (1820), the British Association for the Advancement of Science (1831) and the Statistical Society of London (1834). Between 1827 and 1835 he held the Lucasian Chair of Mathematics at Cambridge. He died in London in 1871, still working on the Analytical Engine.

In 1991 the Science Museum constructed the Difference Engine No. 2 to commemorate the 200th anniversary of Babbage’s birth. The machine was based on Babbage’s original plans and demonstrated for the first time the viability of his designs.

Date

1835 March 16 - 1846 October 3

Scope and ContentThese 388 notations describe how the Analytical Engine functions. They are meant to accompany the mechanical details of the engine given in the Series A drawings.

Most of the notations, except in the earliest part of the series, are 'walk throughs' or 'traces' of micro-programs for the different versions of the Analytical Engine. They explain the complex algorithms that Babbage planned to use to perform the various arithmetic functions of addition, subtraction, multiplication, division, extraction of square root and sub-tabulation. The notations allow us to infer much of the functional arrangement and most of the sequence control of the various plans of the Analytical Engine.

There are many variations of the Analytical Engine's algorithms. The basic techniques evolved rapidly throughout the first phase of Babbage's work on the engine. Many of the plans represent evolving ideas for the arithmetic algorithms and their control mechanisms that are reflected in the logical structure of the machine, rather than major mechanical innovations. However, algorithmic and mechanical innovations did proceed in parallel with, and interact with, one another.

The notations are created and arranged in sets, consisting of large sheets of paper, or multiple sheets glued together, folded to a convenient size.

Extent388 sets of notations

LanguageEnglish

Levelseries

Repository nameScience Museum, London

Conditions governing accessOpen Access

Conditions governing ReproductionCopies may be supplied in accordance with current copyright legislation and Science Museum Group terms and conditions

Related object

A complete notation of trains for the printing part of the Analytical Engine

System of arrangementThe series is arranged numerically in date order. As the sections are not always uniform, it is convenient to be able to refer to parts of these large notations. Thus each area between the folds is called a page and these are numbered from the cover as "page 1" then numbered consecutively to the right, turning over the sheet until reaching the edge.