- From Here to Infinity (book)
Infobox Book |

name = From Here to Infinity

image_caption =

author =Ian Stewart

country =

language = English

genre =Popular science

publisher = Oxford Paperbacks

release_date =1996

media_type =

pages = 310

isbn = 0-19-283202-6**"From Here to Infinity: A Guide to Today's Mathematics**", a 1996 book by mathematician and science popularizer Ian Stewart, is a guide to modernmathematics for the general reader. It aims to answer questions such as "What is mathematics ?", "What is it for ?" and "What are mathematicians doing nowadays". AuthorSimon Singh describes it as "An interesting and accessible account of current mathematical topics". [*[*] The first edition, written in 1987, was published under the title "The Problems of Mathematics".*http://www.simonsingh.net/Mathematics_Books.html My Favourite Mathematics Books*] , Simon Singh**ummary**After an introductory chapter "The Nature of Mathematics", Stewart devotes each of the folllowing 18 chapters to an exposition of a particular problem that has given rise to new mathematics or an area of research in modern mathematics.

*Chapter 2 - "The Price of Primality" -

primality test s andinteger factorisation

*Chapter 3 - "Marginal Interest" -Fermat's last theorem

*Chapter 4 - "Parallel Thinking" -non-Euclidean geometry

*Chapter 5 - "The Miraculous Jar" -Cantor's theorem andcardinal number s

*Chapter 6 - "Ghosts of Departed Quantities" -calculus andnon-standard analysis

*Chapter 7 - "The Duellist and the Monster" - theclassification of finite simple groups

*Chapter 8 - "The Purple Wallflower" - thefour colour theorem

*Chapter 9 - "Much Ado About Knotting" -topology and thePoincaré conjecture

*Chapter 10 - "More Ado About Knotting" -knot polynomial s

*Chapter 11 - "Squarerooting the Unsquarerootable" -complex number s and theRiemann hypothesis

*Chapter 12 - "Squaring the Unsquarable" - theBanach-Tarski paradox

*Chapter 13 - "Strumper Fortune" -probability andrandom walks

*Chapter 14 - "The Mathematics of Nature" - thestability of the Solar System

*Chapter 15 - "The Patterns of Chaos" -chaos theory andstrange attractor s

*Chapter 16 - "The Two-and-a-halfth Dimension" -fractal s

*Chapter 17 - "Dixit Algorizmi" -algorithm s andNP-complete problems

*Chapter 18 - "The Limits of Computability" -Turing machine s andcomputable number s

*Chapter 19 - "The Ultimate in Technology Transfer" -experimental mathematics and the relationship between mathematics and science**References**

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