Problem book for differential equations?? Are there?

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Is there a problem book which gathers the most relevant exercises in differential equations (historical problems, eventually providing counter-examples for some theorems and properties if some conditions are neglected)? I'm interested in both ODE and PDE.



Thanks a lot!







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    You can see Biler and Nadzieja Problems and Examples in Differential Equations.
    – user539887
    Jul 25 at 10:14














up vote
4
down vote

favorite
4












Is there a problem book which gathers the most relevant exercises in differential equations (historical problems, eventually providing counter-examples for some theorems and properties if some conditions are neglected)? I'm interested in both ODE and PDE.



Thanks a lot!







share|cite|improve this question

















  • 1




    You can see Biler and Nadzieja Problems and Examples in Differential Equations.
    – user539887
    Jul 25 at 10:14












up vote
4
down vote

favorite
4









up vote
4
down vote

favorite
4






4





Is there a problem book which gathers the most relevant exercises in differential equations (historical problems, eventually providing counter-examples for some theorems and properties if some conditions are neglected)? I'm interested in both ODE and PDE.



Thanks a lot!







share|cite|improve this question













Is there a problem book which gathers the most relevant exercises in differential equations (historical problems, eventually providing counter-examples for some theorems and properties if some conditions are neglected)? I'm interested in both ODE and PDE.



Thanks a lot!









share|cite|improve this question












share|cite|improve this question




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edited Jul 25 at 9:04









Rodrigo de Azevedo

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asked Jul 25 at 8:57









Bogdan

62749




62749







  • 1




    You can see Biler and Nadzieja Problems and Examples in Differential Equations.
    – user539887
    Jul 25 at 10:14












  • 1




    You can see Biler and Nadzieja Problems and Examples in Differential Equations.
    – user539887
    Jul 25 at 10:14







1




1




You can see Biler and Nadzieja Problems and Examples in Differential Equations.
– user539887
Jul 25 at 10:14




You can see Biler and Nadzieja Problems and Examples in Differential Equations.
– user539887
Jul 25 at 10:14










1 Answer
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I recently visited Springer press and found this title Principles of Partial Differential Equations. It belongs to a series called Problem Books in Mathematics. https://www.amazon.com/Principles-Partial-Differential-Equations-Mathematics/dp/1441910956



According to the the publisher:




This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The theoretical part is rigorous and with important details presented with care. Hints are provided to help the reader restore the arguments to their full rigor. Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.







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    up vote
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    I recently visited Springer press and found this title Principles of Partial Differential Equations. It belongs to a series called Problem Books in Mathematics. https://www.amazon.com/Principles-Partial-Differential-Equations-Mathematics/dp/1441910956



    According to the the publisher:




    This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The theoretical part is rigorous and with important details presented with care. Hints are provided to help the reader restore the arguments to their full rigor. Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.







    share|cite|improve this answer



























      up vote
      2
      down vote













      I recently visited Springer press and found this title Principles of Partial Differential Equations. It belongs to a series called Problem Books in Mathematics. https://www.amazon.com/Principles-Partial-Differential-Equations-Mathematics/dp/1441910956



      According to the the publisher:




      This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The theoretical part is rigorous and with important details presented with care. Hints are provided to help the reader restore the arguments to their full rigor. Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.







      share|cite|improve this answer

























        up vote
        2
        down vote










        up vote
        2
        down vote









        I recently visited Springer press and found this title Principles of Partial Differential Equations. It belongs to a series called Problem Books in Mathematics. https://www.amazon.com/Principles-Partial-Differential-Equations-Mathematics/dp/1441910956



        According to the the publisher:




        This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The theoretical part is rigorous and with important details presented with care. Hints are provided to help the reader restore the arguments to their full rigor. Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.







        share|cite|improve this answer















        I recently visited Springer press and found this title Principles of Partial Differential Equations. It belongs to a series called Problem Books in Mathematics. https://www.amazon.com/Principles-Partial-Differential-Equations-Mathematics/dp/1441910956



        According to the the publisher:




        This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The theoretical part is rigorous and with important details presented with care. Hints are provided to help the reader restore the arguments to their full rigor. Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.








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        edited Jul 25 at 9:20


























        answered Jul 25 at 9:13









        Le Anh Dung

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