Visit our Christmas Gift Finder
Number Theory III: Diophantine Geometry - Encyclopaedia of Mathematical Sciences 60 (Hardback)
  • Number Theory III: Diophantine Geometry - Encyclopaedia of Mathematical Sciences 60 (Hardback)
zoom

Number Theory III: Diophantine Geometry - Encyclopaedia of Mathematical Sciences 60 (Hardback)

(author,editor)
£119.99
Hardback 296 Pages / Published: 27/06/1991
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the volume. By definition, diophantine problems concern the solutions of equations in integers, or rational numbers, or various generalizations, such as finitely generated rings over Z or finitely generated fields over Q. The word Geometry is tacked on to suggest geometric methods. This means that the present volume is not elementary. For a survey of some basic problems with a much more elementary approach, see [La 9Oc]. The field of diophantine geometry is now moving quite rapidly. Out- standing conjectures ranging from decades back are being proved. I have tried to give the book some sort of coherence and permanence by em- phasizing structural conjectures as much as results, so that one has a clear picture of the field. On the whole, I omit proofs, according to the boundary conditions of the encyclopedia. On some occasions I do give some ideas for the proofs when these are especially important. In any case, a lengthy bibliography refers to papers and books where proofs may be found. I have also followed Shafarevich's suggestion to give examples, and I have especially chosen these examples which show how some classical problems do or do not get solved by contemporary in- sights. Fermat's last theorem occupies an intermediate position. Al- though it is not proved, it is not an isolated problem any more.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540530046
Number of pages: 296
Weight: 1370 g
Dimensions: 235 x 155 x 19 mm
Edition: 1991 ed.

You may also be interested in...

A Mathematical Tapestry
Added to basket
Proofs from THE BOOK
Added to basket
Single Digits
Added to basket
£21.00
Hardback
Introduction to Complex Analysis
Added to basket
Fermat's Last Theorem
Added to basket
A Comprehensive Course in Number Theory
Added to basket
The Irrationals
Added to basket
£14.99
Paperback
The Lattice Boltzmann Equation
Added to basket
The Theory of Algebraic Numbers
Added to basket
Love and Math
Added to basket
£18.99
Hardback
Elementary Number Theory
Added to basket
As Easy As Pi
Added to basket
£6.99
Paperback
The Man of Numbers
Added to basket
£18.99
Hardback
The Man of Numbers
Added to basket
£12.99
Paperback

Reviews

Please sign in to write a review

Your review has been submitted successfully.