How May One Start?
Some students and coleagues are always asking about the place to start studying some topic! On the page bellow, I provide the best references I know for this purpose!
Before that, see my Amazon lists:
http://www.amazon.com/gp/richpub/listmania/byauthor/ATE8DGIDC642W/ref=cm_lm_pthnk_athr?ie=UTF8&lm_bb=
Mathematics
Real Analysis
Análise Real 1 and 2 by Ellon Lages Lima
Analysis in Euclidean Space by Kenneth Hoffman
Principles of Mathematical Analysis by Walter Rudin
Functional Analysis
Introductory Functional Analysis with Applications by Erwin Kreyszig (see my opinion about this book in Amazon)
Applied Functional Analysis by D.H. Griffel
Introductory Real Analysis by A. N. Kolmogorov and S. V. Fomin
Você também pode achar respostas legais para essa pergunta aqui
Measury theory
The Elements of Integration by Robert G. Bartle
Você também pode achar respostas legais para essa pergunta aqui
Optimization
Optimization by Vector Space Methods by David G. Luenberger
Convex Optimization by Stephen Boyd and Lieven Vandenberghe (this book is free-downloadable at the author's home-page)
Dynamic Programming and Reinforcement Learning
Dynamic Programming and Optimal Control by Dimitri P. Bertsekas
Markov Decision Processes: Discrete Stochastic Dynamic Programming by Martin L. Puterman
Reinforcement Learning: An Introduction by Richard S. Sutton and Andrew G. Barto
Você também pode achar respostas legais para essa pergunta aqui
Calculus of Variations
Introduction to the Calculus of Variations by Hans Sagan
Numerical methods
Analysis of numerical methods by E. Isaacson. and H. B. Keller
Numerical methods in economics by K. L. Judd (This is a good guide for finding applications of numerical methods in Economics, but it is not a good place to start. It is just here because its popularity and the fact that everybody asks about this book)
Você também pode achar respostas legais para essa pergunta aqui
Economics
Microeconomics
Microeconomic Theory by Andreu Mas-Colell, Michael D. Whinston, and Jerry R. Green
Livros de teoria dos jogos: Veja aqui
Livros de Teoria da Decisão: Veja aqui
Econometrics
Introduction to the Mathematical and Statistical Foundations of Econometrics by Herman J. Bierens
Time series
Time Series Analysis by James Douglas Hamilton
Applied Econometric Times Series by Walter Enders
Panel data
Analysis of Panel Data by Cheng Hsiao
Finance
Principles of Financial Economics by Stephen F. LeRoy, Jan Werner, and Stephen A. Ross (This book is an amazing introduction to Financial Economics and Asset Pricing). See my review about this book in Amazon)
Quantitative Financial Economics: Stocks, Bonds and Foreign Exchange by Keith Cuthbertson and Dirk Nitzsche (This is for Financial Econometrics)
The Econometrics of Financial Markets by John Y. Campbell, Andrew W. Lo, A. Craig MacKinlay, and Andrew Y. Lo (This is also for Financial Econometrics.)
Theoretical Foundations of Corporate Finance. by Joao Amaro de Matos (This is clearly for corporate finance)
The Theory of Corporate Finance by Jean Tirole (This is also for corporate finance)
Como começar em finanças?: Veja aqui
Complex systems
Self-Organized Criticality
Self-Organized Criticality: Emergent Complex Behavior in Physical and Biological Systems by Professor Henrik Jeldtoft Jensen
Complexity And Criticality by Kim Christensen and Nicholas R. Moloney
Chaos
An Introduction to Chaotic Dynamical Systems by Robert Devaney and Robert L. Devaney (The mathematics of chaotic systems!)
Thermodynamics of Chaotic Systems: An Introduction by Christian Beck and Friedrich Schögl (Characterizing chaos!)
Caos - Uma Introduçao Nelson Fiedler-Ferrara and Carmen P. Cintra (A very nice Brazilian book dealing with both with mathematics and characterization of complex systems!)
Fractals
Fractals by Jens Feder
Fractal Geometry: Mathematical Foundations and Applications by Kenneth Falconer
Última atualização (Dom, 29 de Novembro de 2009 21:17)