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The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates...

Collection of exercises of mathematics for high school students, high schools, science high school or university students. The topics covered are, in general: trigonometry, limits, derivatives, integrals, sequences....

This invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations. It is self-contained and unified in presentation, and provides readers...

This pioneering study/textbook in a crucial area of pure and applied mathematics features worked examples instead of the formulation of general theorems. Extensive coverage of saddle-point method, iteration,...

A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis...

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...

*Wave or weak turbulence* is a branch of science concerned with the evolution of random wave fields of all kinds and on all scales, from waves in galaxies to capillary waves on water surface, from waves in nonlinear...

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...

During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential...

This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes...

Volume 1: Deterministic Modeling, Methods and Analysis

For more than half a century, stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the...

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...

This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems...

**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...