Skip to Main Content
  • Instructor Catalog
  • Instructor Community
  • Student Store
  • USUnited States Store
Instructor Catalog Instructor Catalog
    • I'M AN INSTRUCTOR

    • I'M A STUDENT
  • help
  • search
  • minicart
    0
    • USUnited States Store

Find what you need to succeed.

search icon
  • Our Story

    Our Story

    back
    • Our Mission
    • Our Leadership
    • Learning Science
    • Sustainability
    • Careers
    • Diversity, Equity, and Inclusion
    • Accessibility
  • Discipline

    Discipline

    back
    • Astronomy Biochemistry Biology Chemistry College Success Communication Economics Electrical Engineering English Environmental Science Geography Geology History Mathematics Music & Theater Nutrition and Health Philosophy & Religion Physics Psychology Sociology Statistics Value
  • Digital

    Digital

    back
    • Digital Offerings
    • Achieve
    • LaunchPad
    • E-books
    • iOLab
    • iClicker
    • Inclusive Access
    • Lab Solutions
    • LMS Integration
    • Curriculum Solutions
    • Training and Demos
    • First Day of Class
  • Solutions

    Solutions

    back
    • Administrators
    • Affordable Solutions
    • Badging & Certification
    • iClicker and Your Content
    • Lab Solutions
    • Student Store
    • TradeUp
  • News & Media

    News & Media

    back
    • News & Media
  • Contact Us

    Contact Us

    back
    • Contact Us & FAQs
    • Find Your Rep
    • Training and Demos
    • First Day of Class
    • Booksellers
    • Macmillan International Support
    • International Translation Rights
    • Request Permissions
    • Report Piracy
  1. Home
  2. Introduction to Applied Partial Differential Equations
  • About
  • Preview
  • Digital
  • Contents
  • Authors
  • Resources
Introduction to Applied Partial Differential Equations by John M. Davis - First Edition, 2013 from Macmillan Student Store
Find Your Rep

Introduction to Applied Partial Differential Equations

First Edition| ©2013 John M. Davis

Drawing on his decade of experience teaching the differential equations course, John Davis offers a refreshing and effective new approach to partial differential equations that is equal parts computational proficiency, visualization, and physical interpretation of the problem at hand.

Drawing on his decade of experience teaching the differential equations course, John Davis offers a refreshing and effective new approach to partial differential equations that is equal parts computational proficiency, visualization, and physical interpretation of the problem at hand.

Read more
Students - Buy or Rent

  • Format
E-book from C$68.99

ISBN:9781464119408

Take notes, add highlights, and download our mobile-friendly e-books.

Retail:C$68.99

Subscribe until 07/30/2023

Retail:C$178.99


Hardcover from C$50.99

ISBN:9781429275927

Read and study old-school with our bound texts.

Retail:C$50.99

Rent until 05/04/2023

Retail:C$60.99

Rent until 06/13/2023

Retail:C$72.99

Rent until 08/02/2023

Retail:C$117.99

Rent until 01/29/2024

Retail:C$245.99 Wholesale:C$196.89


Home Features
Introduction to Applied Partial Differential Equations by John M. Davis - First Edition, 2013 from Macmillan Student Store

Drawing on his decade of experience teaching the differential equations course, John Davis offers a refreshing and effective new approach to partial differential equations that is equal parts computational proficiency, visualization, and physical interpretation of the problem at hand.

Features

Focus on Deeper Concepts Not Mundane Computation
The text requires hand calculation selectively, and encourages the use of appropriate computing technology throughoutÑfor example, in computing the integrals arising in Fourier series coefficients or plotting 3D animations of solution surfaces. By utilizing technology appropriately, the focus can be placed on more complex, realistic problems.

Emphasis on Geometric Iinsight and Physical Interpretation
Davis' text gives the computational aspect of the course a vivid context by continually reflecting on what the combination of calculation, visualization, and physical interpretation reveals about a problem. This helps students gain some understanding of the qualitative properties of solutions and what they tell us about the real world physical system.
 
Embraces the Tools and Language of Vector Calculus
The book takes full advantage of the opportunity of using the partial differential equation course to solidify students' understanding of vector calculus. For example, deriving the multidimensional heat and wave equations from a variational viewpoint are occasions to invoke the Divergence Theorem and Stokes' Theorem.
 
Sets the Stage for Future Topics in Analysis
To make sure students are prepared for upper level mathematics courses, the text introduces a number of topics (tackle vector spaces, inner product spaces, eigenvalue problems, orthogonality, various modes of convergence, and basic L2 theory) at an appropriate level.

New to This Edition

Introduction to Applied Partial Differential Equations by John M. Davis - First Edition, 2013 from Macmillan Student Store

Introduction to Applied Partial Differential Equations

First Edition| ©2013

John M. Davis

Digital Options

PDF_EBOOK icon

E-book

Read online (or offline) with all the highlighting and notetaking tools you need to be successful in this course.

Learn About E-book

Introduction to Applied Partial Differential Equations by John M. Davis - First Edition, 2013 from Macmillan Student Store

Introduction to Applied Partial Differential Equations

First Edition| 2013

John M. Davis

Table of Contents

Preface
 
1 Introduction to PDEs
1.1 ODEs vs. PDEs
1.2 How PDEs Are Born: Conservation Laws, Fluids, and Waves
1.3 Boundary Conditions in One Space Dimension
1.4 ODE Solution Methods
 
2 Fourier's Method: Separation of Variables
2.1 Linear Algebra Concepts
2.2 The General Solution via Eigenfunctions
2.3 The Coefficients via Orthogonality
2.4 Consequences of Orthogonality
2.5 Robin Boundary Conditions
2.6 Nonzero Boundary Conditions: Steady-States and Transients*
 
3 Fourier Series Theory
3.1 Fourier Series: Sine, Cosine, and Full
3.2 Fourier Series vs. Taylor Series: Global vs. Local Approximations*
3.3 Error Analysis and Modes of Convergence
3.4 Convergence Theorems
3.5 Basic L2 Theory
3.6 The Gibbs Phenomenon*
 
4 General Orthogonal Series Expansions
4.1 Regular and Periodic Sturm-Liouville Theory
4.2 Singular Sturm-Liouville Theory
4.3 Orthogonal Expansions: Special Functions
4.4 Computing Bessel Functions: The Method of Frobenius
4.5 The Gram-Schmidt Procedure*
 
5 PDEs in Higher Dimensions
5.1 Nuggets from Vector Calculus
5.2 Deriving PDEs in Higher Dimensions
5.3 Boundary Conditions in Higher Dimensions
5.4 Well-Posed Problems: Good Models
5.5 Laplace's Equation in 2D
5.6 The 2D Heat and Wave Equations

6 PDEs in Other Coordinate Systems
6.1 Laplace's Equation in Polar Coordinates
6.2 Poisson's Formula and Its Consequences*
6.3 The Wave Equation and Heat Equation in Polar Coordinates
6.4 Laplace's Equation in Cylindrical Coordinates
6.5 Laplace's Equation in Spherical Coordinates

7 PDEs on Unbounded Domains
7.1 The Infinite String: d'Alembert's Solution
7.2 Characteristic Lines
7.3 The Semi-infinite String: The Method of Reflections
7.4 The Infinite Rod: The Method of Fourier Transforms
 
Appendix
Selected Answers
Credits
Index
Introduction to Applied Partial Differential Equations by John M. Davis - First Edition, 2013 from Macmillan Student Store

Introduction to Applied Partial Differential Equations

First Edition| 2013

John M. Davis

Find Your Rep

Authors

John M. Davis

John Davis received his Ph.D. in Mathematics from Auburn University in 1998 and joined the faculty at Baylor University in 1999.  His interdisciplinary research in ordinary and partial differential equations, hybrid dynamical systems, and applications to control theory and signal processing has been funded by the National Science Foundation, resulting in more than 50 peer reviewed publications. He won the Mathematical Association of America’s Distinguished University Teaching Award in 2009.

Introduction to Applied Partial Differential Equations by John M. Davis - First Edition, 2013 from Macmillan Student Store

Introduction to Applied Partial Differential Equations

First Edition| 2013

John M. Davis

Find Your Rep

Instructor Resources

Need instructor resources for your course?

Unlock Your Resources

Instructor Resources

Download Resources

You need to sign in to unlock your resources.

Instructor's Solution Manual for Partial Differential Equations

John M Davis | First Edition | ©2013 | ISBN:9781464119064
Confirm Request
We're sorry! The server encountered an internal error and cannot complete your request. Please try again later.

You've selected:

Click the E-mail Download Link button and we'll send you an e-mail at with links to download your instructor resources. Please note there may be a delay in delivering your e-mail depending on the size of the files.

Warning! These materials are owned by Macmillan Learning or its licensors and are protected by copyright laws in the United States and other jurisdictions. Such materials may include a digital watermark that is linked to your name and email address in your Macmillan Learning account to identify the source of any materials used in an unauthorised way and prevent online piracy. These materials are being provided solely for instructional use by instructors who have adopted Macmillan Learning’s accompanying textbooks or online products for use by students in their courses. These materials may not be copied, distributed, sold, shared, posted online, or used, in print or electronic format, except in the limited circumstances set forth in the Macmillan Learning Terms of Use and any other reproduction or distribution is illegal. These materials may not be made publicly available under any circumstances. All other rights reserved. For more information about the use of your personal data including for the purposes of anti-piracy enforcement, please refer to Macmillan Learning's.Privacy Notice

Request Status

Thank you!

Your download request has been received and your download link will be sent to .

Please note you could wait up to 30 to 60 minutes to receive your download e-mail depending on the number and size of the files. We appreciate your patience while we process your request.

Check your inbox, trash, and spam folders for an e-mail from InstructorResources@macmillan.com.

If you do not receive your e-mail, please visit macmillanlearning.com/support.

We're sorry! The server encountered an internal error and cannot complete your request. Please try again later.
Introduction to Applied Partial Differential Equations by John M. Davis - First Edition, 2013 from Macmillan Student Store

Introduction to Applied Partial Differential Equations

First Edition| 2013

John M. Davis

Related Titles

Available Demos

Select a demo to view:

Achieve icon Sample Achieve

We are happy to offer free Achieve access in addition to the
physical sample you have selected. Sample this version now as
opposed to waiting for the physical edition.

We are happy to offer free Achieve access in
addition to the physical sample you have
selected. Sample this version now as opposed to
waiting for the physical edition.

Learn more about Achieve
  • Privacy Notice
  • //
  • Ads & Cookies
  • //
  • Terms of Use
  • //
  • Piracy
  • //
  • Accessibility
  • //
  • Code of Conduct
  • //
  • Site Map
  • //
  • Customer Support
  • Macmillan Learning Facebook icon
  • Macmillan Learning Twitter icon
  • Macmillan Learning Youtube icon
  • Macmillan Learning Linkedin icon
  • Macmillan Learning Instagram icon
We are processing your request. Please wait...