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 Approximation  


  
Numerical Solution of Stochastic Differential Equations (Stochastic Modelling and Applied Probability)
Peter E. Kloeden, Eckhard Platen

Springer, 2000

Excellent
This book is one of the finest written on the subject and is suitable for readers in a wide variety of fields, including mathematical finance, random dynamical systems, constructive quantum field theory, and mathematical biology. It is certainly well-suited for ...
  
  











  



  
Calculus II For Dummies (For Dummies (Math & Science))
Mark Zegarelli

For Dummies, 2008

Calculus I for Dummies > Calculus II for Dummies.
Most of this book (pg 1 - 283 out of 368pgs including index) is covered in the first "Calculus for Dummies" book. In some topics, this book (Calculus II for Dummies) uses the same exact problems that were used in "Calculus for Dummies" Personally i liked the way Mark ...
  
  











  



  
Introduction To Engineering Design and Problem Solving
Arvid Eide, Roland Jenison, ...

McGraw-Hill Science/Engineering/Math, 2001

Solid Foundation for Engineers and Designers
I actually ended up reading this book after getting my master's degree in aerospace engineering, and even after a few years of work in industry. This was because my first crack at doing real aircraft structural design work put me completely in over my head, and this ...
  
  











  



  
The NURBS Book (Monographs in Visual Communication)
Les A. Piegl, Wayne Tiller

Springer, 1996

An Essential Foundation
I own many books on the subject of NURBS. I always come back to this one while programming NURBS and reading research papers. It provides a fantastic foundation. It is an older book, so don't expect recent research to be included. For those that also want to know how ...
  
  











  



  
Electronic Structure Calculations for Solids and Molecules: Theory and Computational Methods
Jorge Kohanoff

Cambridge University Press, 2006

Electronic structure problems are studied in condensed matter physics and theoretical chemistry to provide important insights into the properties of matter. This graduate textbook describes the main theoretical approaches and computational techniques, from the simplest approximations to the most sophisticated methods. It starts with a detailed ...
  
  











  



  
Schaum's Outline of Numerical Analysis
Francis Scheid

McGraw-Hill, 1989

A book with an audience
With no previous background in numerical analysis, I bought this book on the recommendation of my boss who loved the first edition. I had also ordered a whole lot of other books (many from Dover editions). It turns out this is the one I love to pick up from time to ...
  
  











  



  
Re-Engineering Philosophy for Limited Beings: Piecewise Approximations to Reality
William C. Wimsatt

Harvard University Press, 2007

Analytic philosophers once pantomimed physics: they tried to understand the world by breaking it down into the smallest possible bits. Thinkers from the Darwinian sciences now pose alternatives to this simplistic reductionism. In this intellectual tour--essays spanning thirty years--William Wimsatt argues that scientists seek to atomize ...
  
  











  



  
Approximation Algorithms
Vijay V. Vazirani

Springer, 2004

Very nice introduction
This is a quite nice book by an author who is well-known in the field. The book is not thematic, instead it presents certain problems in each chapter along with the main approximation algorithms and correctness proofs. Yet, each new concept is well introduced with the ...
  
  











  



  
Schaum's Outline of Partial Differential Equations (Schaum's)
Paul DuChateau, D. W. Zachmann

McGraw-Hill, 1986

Partial Differential Equations review
I have found it helpful and inciteful with the more difficult differential equations that can be attempted.
  
  











  



  
A Practical Guide to Splines
Carl De Boor

Springer, 2001

de Boor's "A Practical Guide to Splines"
This is absolutely the most excellent book on the subject ever written. It is rigorous, accessible to those who are not professional mathematicians, and full of examples. Using de Boor's public domain software is a cinch, but you need to read the book to fully ...
  
  











  



  
General Relativity: With Applications to Astrophysics (Theoretical and Mathematical Physics)
Norbert Straumann

Springer, 2004

A Masterpiece
For the graduate student of physics or mathematics who has the requisite background in modern differential geometry, Straumann's text presents the most mathematically honest and thorough introduction to general relativity currently available in book form. This book ...
  
  











  



  
An Introduction to the Approximation of Functions (Dover Phoenix Editions)
Theodore J. Rivlin

Dover Publications, 2003

Not a good FIRST book on approximation theory
This is a good introduction to approximation theory, but not a good first book on approximation theory. The standard topics are covered: uniform approximation, least squares approximation, polynomial and spline interpolation, and approximation and interpolation by ...
  
  











  



  
Introduction to Stochastic Search and Optimization
James C. Spall

Wiley-Interscience, 2003

Recommended to scholars and graduate students
Introduction to Stochastic Search and Optimization provides comprehensive, current information on methods for real-world problem solving, including stochastic gradient and non-gradient techniques, as well as relatively recent innovations such as simulated annealing, ...
  
  











  



  
Incompressible Flow
Ronald L. Panton

Wiley, 2005

one of my favourite fluid mechanics book
This book is an excellent text book on an advanced topic. But it does have some issues like any text book I saw. 1) quite a lot of editting errors; 2) Lack of detailed examples; 3) Some derivations are not complete; 4) Index notation not explained very well. ...
  
  











  



  
Approximation Theorems of Mathematical Statistics
Robert J. Serfling

Wiley-Interscience, 2001

Great Reference
As a graduate student in statistics, I have had plenty of opportunities to browse through the pages of this book in search of that theorem, technique, or tool that would be applicable to my own work. In many occasions I was succesful in such search. This title ...
  
  











  



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