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From Discourse to Logic: Introduction to Model-theoretic Semantics of Natural Language, Formal Logic and ...
H. Kamp, U. Reyle

Springer, 1993

Necessary reading: Still the best intro to DRT
Although written a while back, this is still necessary reading for those interested in computational linguistics, because it is still the best introduction, discussion, and reference for an important semantic theory: Discourse Representation Theory (DRT). Unlike the ...
  
  











  



  
Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis (Econometric Society Monographs)
Alvin E. Roth, Marilda A. Oliveira Sotomayor

Cambridge University Press, 1992

practical and clear and covers material you don't see very o
This book is totally dedicated to matching theory. The book in itself is rather general, it doesn't focus on any particular application, and discusses matching as a general abstract theory. Therefore the book can be used by both micro- and macro people equally. It ...
  
  











  



  
The Bayesian Choice: From Decision-Theoretic Foundations to Computational Implementation (Springer Texts in ...
Christian P. Robert

Springer Verlag, New York, 2007

second edition of excellent treatise on Bayesian methods
Robert is the author or co-author of a number of excellently written statistical texts from a Bayesian viewpoint. This text is no exception. It was quite popular in its first edition in 1994 (a translation and correction of an earlier text in French). The rapid ...
  
  











  



  
Model Selection and Multi-Model Inference: A Practical Information-Theoretic Approach

Springer, 1998

authoritative and thorough treatment
Burnham and Anderson have put together a scholarly account of the developments in model selection techniques from the information theoretic viewpoint. This is an important practical subject. As computer algorithms become more and more available for fitting models and ...
  
  











  



  
Modelling, Analysis and Optimization of Biosystems
Werner Krabs, Stefan W. Pickl

Springer, 2007

Mathematical models in biology and medicine cannot be based on natural laws as it is the case with physics and chemistry. This is due to the fact that biological and medical processes are concerned with living organisms. Mathematical models, however, can be used as a language by which certain aspects of biological or medical processes can be ...
  
  











  



  
Cryptanalysis of Number Theoretic Ciphers (Computational Mathematics)
Jr., Samuel S. Wagstaff

Chapman & Hall/CRC, 2002

Assistant Researcher
An excellent book. I am a beginning cryptographer with some statistics, discrete math, user level crypto and programming under my belt - crossing over from another field. This book is an excellent read with proper amounts of examples and theorems. It is easy to ...
  
  











  



  
Measure, Integral and Probability
Marek Capinski, Peter E. Kopp

Springer, 2007

Very good introduction to measure theory
Very good intro for first encounters with measure theory. Throughout the application in probability theory is emphasized. The necessity of each concept introduced is motivated with clear examples. Interesting problem sets are provided after each section; their ...
  
  











  



  
A Game-Theoretic Perspective on Coalition Formation (The Lipsey Lectures)
Debraj Ray

Oxford University Press, USA, 2008

The formation of coalitions to achieve both collaborative and competitive goals is a phenomenon we see all around us. The list is long and varied: production cartels, political lobbies, customs unions, environmental coalitions, and ethnic alliances are just a few everyday instances. Drawing upon and extending his inaugural Lipsey Lectures at the ...
  
  











  



  
Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations
Yoav Shoham, Kevin Leyton-Brown

Cambridge University Press, 2008

This exciting and pioneering new overview of multiagent systems, which are online systems composed of multiple interacting intelligent agents, i.e., online trading, offers a newly seen computer science perspective on multiagent systems, while integrating ideas from operations research, game theory, economics, logic, and even philosophy and ...
  
  











  



  
A User's Guide to Measure Theoretic Probability (Cambridge Series in Statistical and Probabilistic ...
David Pollard

Cambridge University Press, 2001

Excellent and idiosyncratic
There is no shortage of graduate-level probability textbooks. The classics (Ash, Billingsley, Breiman) have been partly replaced by (among others) Dudley, Shiryaev, and Durrett (the de facto gold standard). You can now Pollard's book to the list. It is written in a ...
  
  











  



  
Game Theoretic Analysis of Voting in Committees
Bezalel Peleg

Cambridge University Press, 2008

This book is a theoretical and completely rigorous analysis of voting in committees that provides mathematical proof of the existence of democratic voting systems, which are immune to the manipulation of preferences of coalitions of voters. The author begins by determining the power distribution among voters that is induced by a voting rule, ...
  
  











  



  
Bounded Incremental Computation (Lecture Notes in Computer Science)
G. Ramalingam

Springer, 1996

Incremental computation concerns the re-computation of output after a change in the input, whereas algorithms and programs usually derive their output directly from their input. This book investigates the concept of incremental computation and dynamic algorithms in general and provides a variety of new results, especially for computational ...
  
  











  



  
Homotopy Theoretic Methods in Group Cohomology (Advanced Courses in Mathematics - CRM Barcelona)
William G. Dwyer, Hans-Werner Henn

Birkhäuser Basel, 2002

This book looks at group cohomology with tools that come from homotopy theory. These tools give both decomposition theorems (which rely on homotopy colimits to obtain a description of the cohomology of a group in terms of the cohomology of suitable subgroups) and global structure theorems (which exploit the action of the ring of topological ...
  
  











  



  
Standard Monomial Theory: Invariant Theoretic Approach (Encyclopaedia of Mathematical Sciences)
Venkatramani Lakshmibai, Komaranapuram N. Raghavan

Springer, 2008

Schubert varieties lie at the cross roads of algebraic geometry, combinatorics, commutative algebra, and representation theory. They are an important class of subvarieties of flag varieties, interesting in their own right, and providing an inductive tool for studying flag varieties. The literature on them is vast, for they are ...
  
  











  



  
Ramification Theoretic Methods in Algebraic Geometry (AM-43) (Annals of Mathematics Studies)
Shreeram Shankar Abhyankar

Princeton University Press, 1959
  
  











  



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