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This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis....

*I used to think math was no fun*

*'Cause I couldn't see how it was done*

*Now Euler's my hero*

*For I now see why zero*

*Equals e ^{[pi] i}+1*

--Paul Nahin, electrical engineer

In the mid-eighteenth century, Swiss-born mathematician...

**Introduces both the fundamentals of time dependent differential equations and their numerical solutions**

*Introduction to Numerical Methods for Time Dependent Differential Equations *delves into the underlying mathematical...

Tough Test Questions? Missed Lectures? Not Enough Time?

**Fortunately, there's Schaum's. This all-in-one-package includes more than 400 fully solved problems, examples, and practice exercises to sharpen your problem-solving...**

Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl...

This volume is a collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance. The articles represent new directions and...

This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative...

**Praise for the First Edition**

". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises."—*Zentralblatt MATH*

". . . carefully...

**Master discrete mathematics with Schaum's--the high-performance solved-problem guide.**

It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams!

Students love Schaum's...

Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential...

This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newton's, as well as numerous variations on them invented in the last few decades. Perhaps more importantly...

Nonlinearity & Functional Analysis

The main goal of this Handbook is

to survey measure theory with its many different branches and its

relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim...

The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved.

A general methodology for solving functional equations...

Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established,...

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical...

**Sobolev Spaces** presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied...

The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications....

In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems...