Mathematical Analysis category: 956 books
KP Solitons and the Grassmannians
Combinatorics and Geometry of Two-Dimensional Wave Patterns
Language: English
Release Date: March 24, 2017
This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics of finite-dimensional Grassmannians,...
How Nature Works
the science of self-organized criticality
Language: English
Release Date: November 11, 2013
Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches...
A Brief History of Infinity
The Quest to Think the Unthinkable
Language: English
Release Date: February 7, 2013
'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy
We human beings have trouble with infinity...
Handbook of Functional Equations
Functional Inequalities
Language: English
Release Date: November 18, 2014
As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is...
Fractional and Multivariable Calculus
Model Building and Optimization Problems
Language: English
Release Date: July 25, 2017
This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and...
by Gianfranco Cariolaro
Language: English
Release Date: April 23, 2011
Language: English
Release Date: April 23, 2011
Unified Signal Theory is an indispensible textbook dealing with the theory of deterministic signals; a topic of fundamental interest to graduates and senior undergraduates in the areas of information engineering (telecommunications, control, systems theory and electronics), astronomy, oceanography,...
by
Language: English
Release Date: June 5, 2014
Language: English
Release Date: June 5, 2014
Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion...
Nonlinear Mode Decomposition
Theory and Applications
Language: English
Release Date: June 19, 2015
This work introduces a new method for analysing measured signals: nonlinear mode decomposition, or NMD. It justifies NMD mathematically, demonstrates it in several applications and explains in detail how to use it in practice. Scientists often need to be able to analyse time series data that include...
Advanced Numerical Methods with Matlab 1
Function Approximation and System Resolution
Language: English
Release Date: March 15, 2018
Most physical problems can be written in the form of mathematical equations (differential, integral, etc.). Mathematicians have always sought to find analytical solutions to the equations encountered in the different sciences of the engineer (mechanics, physics, biology, etc.). These equations are...
Inside Interesting Integrals
A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Nearly 200 Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus 60
Language: English
Release Date: August 27, 2014
What’s the point of calculating definite integrals since you can’t possibly do them all?.What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating...
by Jozsef Beck
Language: English
Release Date: July 7, 2017
Language: English
Release Date: July 7, 2017
It is the first book about a new aspect of Uniform distribution, called Strong Uniformity. Besides developing the theory of Strong Uniformity, the book also includes novel applications in the underdeveloped field of Large Dynamical Systems.
Contents:
From Uniform Distribution to the...
by Phil Dyke
Language: English
Release Date: March 24, 2014
Language: English
Release Date: March 24, 2014
In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets.
Only knowledge of elementary...
Boundary Integral Equation Methods and Numerical Solutions
Thin Plates on an Elastic Foundation
Language: English
Release Date: March 16, 2016
This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically—by means of...
by Jay S. Treiman
Language: English
Release Date: October 30, 2014
Language: English
Release Date: October 30, 2014
Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text...