An Introduction to Partial Differential Equations / by Daniel J. Arrigo.

Format:

Book

Author/Creator:

Arrigo, Daniel J., Author.

Series:

Synthesis Lectures on Mathematics & Statistics, 1938-1751

Language:

English

Subjects (All):

Mathematics.

Statistics.

Engineering mathematics.

Engineering Mathematics.

Local Subjects:

Mathematics.

Statistics.

Engineering Mathematics.

Physical Description:

1 online resource (XI, 155 p.)

Edition:

1st ed. 2018.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2018.

Summary:

This book is an introduction to methods for solving partial differential equations (PDEs). After the introduction of the main four PDEs that could be considered the cornerstone of Applied Mathematics, the reader is introduced to a variety of PDEs that come from a variety of fields in the Natural Sciences and Engineering and is a springboard into this wonderful subject. The chapters include the following topics: First-order PDEs, Second-order PDEs, Fourier Series, Separation of Variables, and the Fourier Transform.The reader is guided through these chapters where techniques for solving first- and second-order PDEs are introduced. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for any introductory course in PDEs typically found in both science and engineering programs and has been used at the University of Central Arkansas for over ten years.

Contents:

Preface

Acknowledgments

Introduction

First-Order PDEs

Second-Order Linear PDEs

Fourier Series

Separation of Variables

Fourier Transform

Solutions

Author's Biography .

ISBN:

9783031024139

3031024133