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Advanced Engineering Mathematics

  • Merle C. Potter
  • Jack L. Lessing
  • Edward F. Aboufadel
Textbook

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 1-84
  3. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 85-146
  4. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 147-199
  5. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 200-270
  6. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 271-352
  7. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 353-412
  8. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 413-452
  9. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 453-526
  10. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 527-596
  11. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 597-669
  12. Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
    Pages 670-698
  13. Back Matter
    Pages 699-739

About this book

Introduction

This book is designed to serve as a core text for courses in advanced engineering mathematics required by many engineering departments. The style of presentation is such that the student, with a minimum of assistance, can follow the step-by-step derivations. Liberal use of examples and homework prob­lems aid the student in the study of the topics presented.
 
Ordinary differential equations, including a number of physical applica­tions, are reviewed in Chapter One. The use of series methods are presented in Chapter Two, Subsequent chapters present Laplace transforms, matrix theory and applications, vector analysis, Fourier series and transforms, partial differential equations, numerical methods using finite differences, complex vari­ables, and wavelets. The material is presented so that four or five subjects can be covered in a single course, depending on the topics chosen and the completeness of coverage.

Incorporated in this textbook is the use of certain computer software packages. Short tutorials on Maple, demonstrating how problems in engineering mathematics can be solved with a computer algebra system, are included in most sections of the text. Problems have been identified at the end of sections to be solved specifically with Maple, and there are computer laboratory activities, which are more difficult problems designed for Maple. In addition, MATLAB and Excel have been included in the solution of problems in several of the chapters.

There is a solutions manual available for those who select the text for their course. This text can be used in two semesters of engineering mathematics. The many helpful features make the text relatively easy to use in the classroom.

 

Keywords

Partial Differential Equations Complex Variables Laplace Transforms Engineering Mathematics Applied Mathematics Engineering Analysis Engineering mathematics textbook

Authors and affiliations

  • Merle C. Potter
    • 1
  • Jack L. Lessing
    • 2
  • Edward F. Aboufadel
    • 3
  1. 1.Mechanical EngineeringMichigan State UniversityAnn ArborUSA
  2. 2.University of MichiganFt. LauderdaleUSA
  3. 3.Grand Valley State UniversityAdaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-17068-4
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-030-17067-7
  • Online ISBN 978-3-030-17068-4
  • Buy this book on publisher's site
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