Shipped from UK, please allow 10 to 21 business days for arrival. Fair, Martin Schechter. xii, 245 p. Good condition previous owners name inside front cover. Dust wrapper has faded spine and a small closed tear at the top front edge

Modern methods in partial differential equations: An introduction

Science & Math

Martin Schechter

Mathematics

McGraw-Hill Inc.,US

Partial Differential Equations (Lectures in Applied Mathematics, Vol. 3)

Fritz John

Lipman Bers

John Wiley&Sons, Inc.

Spectra of Partial Differential Operators (North Holland Series in Applied Mathematics and Mechanics Vol. 14).

North-Holland Publishing Company

<p>Functional analysis plays a crucial role in the applied sciences as well as in mathematics. It is a beautiful subject that can be motivated and studied for its own sake. In keeping with this basic philosophy, the author has made this introductory text accessible to a wide spectrum of students, including beginning-level graduates and advanced undergraduates. The exposition is inviting, following threads of ideas, describing each as fully as possible, before moving on to a new topic. Supporting material is introduced as appropriate, and only to the degree needed. Some topics are treated more than once, according to the different contexts in which they arise. The prerequisites are minimal, requiring little more than advanced calculus and no measure theory. The text focuses on normed vector spaces and their important examples, Banach spaces and Hilbert spaces. The author also includes topics not usually found in texts on the subject. This Second Edition incorporates many new developments while not overshadowing the book's original flavor. Areas in the book that demonstrate its unique character have been strengthened. In particular, new material concerning Fredholm and semi-Fredholm operators is introduced, requiring minimal effort as the necessary machinery was already in place. Several new topics are presented, but relate to only those concepts and methods emanating from other parts of the book. These topics include perturbation classes, measures of noncompactness, strictly singular operators, and operator constants. Overall, the presentation has been refined, clarified, and simplified, and many new problems have been added.</p>

Principles of Functional Analysis (Graduate Studies in Mathematics)

American Mathematical Society

<p>Partial differential equations arise in many branches of science and vary in many ways. No one method can be used to solve all of them, and only a tiny percentage have been solved. In this book, we consider the general linear partial differential equation of arbitrary order m. Even this involves more methods that are known. We ask a simple question: when can an equation be solved and how many solutions does it have? We find that the answer is surprising even for equations with constant coefficients. We begin with these equations, first finding conditions which allow us to solve and obtain a finite number of solutions. We show how to obtain those solutions by analyzing the structure of the equation very carefully. A substantial part of the book is devoted to this. Then we tackle the more difficult problem of considering equations with variable coefficients. A large number of such equations are solved by comparing them to equations with constant coefficients.In numerous applications in the sciences, students and researchers are required to solve such equations in order to get the answers that they need. In many cases, the basic scientific theory requires that the resulting partial differential equation has a solution, and they are required to know how many solutions exist. This book deals with such situations.</p>

SOLVING LINEAR PARTIAL DIFFERENTIAL EQUATIONS: SPECTRA

World Scientific Publishing Company

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Books by Martin Schechter