Vaši najdraži udžbenici

[Lovre]

Pošto ja provodim puno vremena tražeći udžbenike koje mi pašu, volio bih čuti neke vaše favorite, a evo mojih, po granama matematike:

Temelji matematike (mat. logika, teorija skupova)
Smullyan, Fitting: Set Theory and the Continuum Problem
Herbert Enderton: A Mathematical Introduction to Logic

Algebra
Dummit, Foote: Abstract Algebra
Paolo Aluffi: Algebra: Chapter 0
Shafarevich: Basic notions of algebra
Falko Lorenz: Algebra: Fields and Galois theory

Teorija brojeva
Dudley: Elementary number theory
Paul Pollack: Not Always Buried Deep
Rosen, Ireland: A Classical Introduction to Modern Number Theory

Toplogija
Glen Bredon: Topology and Geometry

Analiza
Bruckner, Thomson: Real Analysis
Spivak: Calculus
Schechter: Handbook of Analysis and Its Foundations
{nekoliko ruskih pisaca}: Selected Problems in Real Analysis

[Melkor]

Matematička logika

• Ebbinghaus, Flum, Thomas: Mathematical Logic
  
• Boolos, Jeffrey, Burgess: Computability and Logic
  
• Blackburn, de Rijke, Venema: Modal Logic
  

Computer science

• Sipser: Introduction to the Theory of Computation
  
• Graham, Knuth, Patashnik: Concrete Mathematics: A Foundation for Computer Science
  

Algebra

• Hungerford: Algebra
  

Analiza i srodna područja

• Henle, Kleinberg: Infinitesimal Calculus
  
• Tao: An Introduction to Measure Theory
  
• Tao: An Epsilon of Room
  

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I don't know half of you half as well as I should like; and I like less than half of you half as well as you deserve.