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In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including...

The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such...

This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed...

This book mainly deals with the Bochner–Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner–Riesz...

**A solutions manual to accompany An Introduction to Numerical Methods and Analysis, Second Edition**

*An Introduction to Numerical Methods and Analysis, Second Edition* reflects the latest trends in the field, includes...

A unique approach to analysis that lets you apply mathematics across a range of subjects

This innovative text sets forth a thoroughly rigorous modern account of the theoretical underpinnings of calculus: continuity,...

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...

This “Textbook of Mathematics 1 solved exercises" wants to be a collection of solved math exercises suitable for students of high schools, high schools, science high school or even college students. The topics...

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...

Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques...

**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...

This classic text is one of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. Includes 190 problems, approximately half with answers. 1893...

More than 1,200 common series appear here. Collected, summed, and grouped for easy reference, they constitute an immensely useful handbook for mathematicians, physicists, computer technicians, engineers, and...

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 text surveys practical elements of real function theory, general topology, and functional analysis. Discusses the maximality principle, the notion of convergence, the Lebesgue-Stieltjes integral, function...