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Invitation to Partial Differential Equations
 
Mikhail Shubin :  Northeastern University, Boston, MA
Edited by: Maxim Braverman :  Northeastern University, Boston, MA
Robert McOwen :  Northeastern University, Boston, MA
Peter Topalov :  Northeastern University, Boston, MA
Invitation to Partial Differential Equations
Softcover ISBN:  978-1-4704-6496-7
Product Code:  GSM/205.S
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
eBook ISBN:  978-1-4704-5697-9
EPUB ISBN:  978-1-4704-6932-0
Product Code:  GSM/205.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
Softcover ISBN:  978-1-4704-6496-7
eBook: ISBN:  978-1-4704-5697-9
Product Code:  GSM/205.S.B
List Price: $178.00 $133.50
MAA Member Price: $160.20 $120.15
AMS Member Price: $142.40 $106.80
Please Note: Purchasing the eBook version includes access to both a PDF and EPUB version
Add to cart
Invitation to Partial Differential Equations
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Invitation to Partial Differential Equations
Mikhail Shubin :  Northeastern University, Boston, MA
Edited by: Maxim Braverman :  Northeastern University, Boston, MA
Robert McOwen :  Northeastern University, Boston, MA
Peter Topalov :  Northeastern University, Boston, MA
Softcover ISBN:  978-1-4704-6496-7
Product Code:  GSM/205.S
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
eBook ISBN:  978-1-4704-5697-9
EPUB ISBN:  978-1-4704-6932-0
Product Code:  GSM/205.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
Softcover ISBN:  978-1-4704-6496-7
eBook ISBN:  978-1-4704-5697-9
Product Code:  GSM/205.S.B
List Price: $178.00 $133.50
MAA Member Price: $160.20 $120.15
AMS Member Price: $142.40 $106.80
Please Note: Purchasing the eBook version includes access to both a PDF and EPUB version
Add to cart
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 205; 2020; 319 pp
    MSC: Primary 35

    This book is based on notes from a beginning graduate course on partial differential equations. Prerequisites for using the book are a solid undergraduate course in real analysis. There are more than 100 exercises in the book. Some of them are just exercises, whereas others, even though they do require new ideas to solve them, provide additional important information about the subject.
    Readership

    Graduate students interested in partial differential equations.
  • Table of Contents
     
     
    • Chapters
    • Linear differential operators
    • One-dimensional wave equation
    • The Sturm-Liouville problem
    • Distributions
    • Convolution and Fourier transform
    • Harmonic functions
    • The heat equation
    • Sobolev spaces. A generalized solution of Dirichlet’s problem
    • The eigenvalues and eigenfunctions of the Laplace operator
    • The wave equation
    • Properties of the potentials and their computation
    • Wave fronts and short-wave asymptotics for hyperbolic equations
    • Answers and hints. Solutions
  • Additional Material
     
     
  • Reviews
     
     

    • It is a great pleasure to see this book—written by a great master of the subject—finally in print. This treatment of a core part of mathematics and its applications offers the student both a solid foundation in basic calculations techniques in the subject, as well as a basic introduction to the more general machinery, e.g., distributions, Sobolev spaces, etc., which are such a key part of any modern treatment. As such this book is ideal for more advanced undergraduates as well as mathematically inclined students from engineering or the natural sciences. Shubin has a lovely intuitive writing style which provides a gentle introduction to this beautiful subject. Many good exercises (and solutions) are provided!
      Rafe Mazzeo, Stanford University

    • This text provides an excellent semester's introduction to classical and modern topics in linear PDE, suitable for students with a background in advanced calculus and Lebesgue integration. The author intersperses treatments of the Laplace, heat, and wave equations with developments of various functional analytic tools, particularly distribution theory and spectral theory, introducing key concepts while deftly avoiding heavy technicalities.
      Michael Taylor, University of North Carolina, Chapel Hill
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Graduate Studies in Mathematics
Volume: 205; 2020; 319 pp
MSC: Primary 35

This book is based on notes from a beginning graduate course on partial differential equations. Prerequisites for using the book are a solid undergraduate course in real analysis. There are more than 100 exercises in the book. Some of them are just exercises, whereas others, even though they do require new ideas to solve them, provide additional important information about the subject.
Readership

Graduate students interested in partial differential equations.
  • Chapters
  • Linear differential operators
  • One-dimensional wave equation
  • The Sturm-Liouville problem
  • Distributions
  • Convolution and Fourier transform
  • Harmonic functions
  • The heat equation
  • Sobolev spaces. A generalized solution of Dirichlet’s problem
  • The eigenvalues and eigenfunctions of the Laplace operator
  • The wave equation
  • Properties of the potentials and their computation
  • Wave fronts and short-wave asymptotics for hyperbolic equations
  • Answers and hints. Solutions

  • It is a great pleasure to see this book—written by a great master of the subject—finally in print. This treatment of a core part of mathematics and its applications offers the student both a solid foundation in basic calculations techniques in the subject, as well as a basic introduction to the more general machinery, e.g., distributions, Sobolev spaces, etc., which are such a key part of any modern treatment. As such this book is ideal for more advanced undergraduates as well as mathematically inclined students from engineering or the natural sciences. Shubin has a lovely intuitive writing style which provides a gentle introduction to this beautiful subject. Many good exercises (and solutions) are provided!
    Rafe Mazzeo, Stanford University

  • This text provides an excellent semester's introduction to classical and modern topics in linear PDE, suitable for students with a background in advanced calculus and Lebesgue integration. The author intersperses treatments of the Laplace, heat, and wave equations with developments of various functional analytic tools, particularly distribution theory and spectral theory, introducing key concepts while deftly avoiding heavy technicalities.
    Michael Taylor, University of North Carolina, Chapel Hill
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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