|
Showing 1 - 6 of
6 matches in All Departments
Covers ODEs and PDEs-in One TextbookUntil now, a comprehensive
textbook covering both ordinary differential equations (ODEs) and
partial differential equations (PDEs) didn't exist. Fulfilling this
need, Ordinary and Partial Differential Equations provides a
complete and accessible course on ODEs and PDEs using many examples
and exercises as well as intuitive, easy-to-use software. Teaches
the Key Topics in Differential Equations The text includes all the
topics that form the core of a modern undergraduate or beginning
graduate course in differential equations. It also discusses other
optional but important topics such as integral equations, Fourier
series, and special functions. Numerous carefully chosen examples
offer practical guidance on the concepts and techniques. Guides
Students through the Problem-Solving Process Requiring no user
programming, the accompanying computer software allows students to
fully investigate problems, thus enabling a deeper study into the
role of boundary and initial conditions, the dependence of the
solution on the parameters, the accuracy of the solution, the speed
of a series convergence, and related questions. The ODE module
compares students' analytical solutions to the results of
computations while the PDE module demonstrates the sequence of all
necessary analytical solution steps.
Partial Differential Equations: Analytical Methods and Applications
covers all the basic topics of a Partial Differential Equations
(PDE) course for undergraduate students or a beginners’ course
for graduate students. It provides qualitative physical explanation
of mathematical results while maintaining the expected level of it
rigor. This text introduces and promotes practice of necessary
problem-solving skills. The presentation is concise and friendly to
the reader. The "teaching-by-examples" approach provides numerous
carefully chosen examples that guide step-by-step learning of
concepts and techniques. Fourier series, Sturm-Liouville problem,
Fourier transform, and Laplace transform are included. The book’s
level of presentation and structure is well suited for use in
engineering, physics and applied mathematics courses. Highlights:
Offers a complete first course on PDEs The text’s flexible
structure promotes varied syllabi for courses Written with a
teach-by-example approach which offers numerous examples and
applications Includes additional topics such as the Sturm-Liouville
problem, Fourier and Laplace transforms, and special functions The
text’s graphical material makes excellent use of modern software
packages Features numerous examples and applications which are
suitable for readers studying the subject remotely or independently
This book is a text on partial differential equations (PDEs) of
mathematical physics and boundary value problems, trigonometric
Fourier series, and special functions. This is the core content of
many courses in the fields of engineering, physics, mathematics,
and applied mathematics. The accompanying software provides a
laboratory environment that allows the user to generate and model
different physical situations and learn by experimentation. From
this standpoint, the book along with the software can also be used
as a reference book on PDEs, Fourier series and special functions
for students and professionals alike.
Partial Differential Equations: Analytical Methods and Applications
covers all the basic topics of a Partial Differential Equations
(PDE) course for undergraduate students or a beginners' course for
graduate students. It provides qualitative physical explanation of
mathematical results while maintaining the expected level of it
rigor. This text introduces and promotes practice of necessary
problem-solving skills. The presentation is concise and friendly to
the reader. The "teaching-by-examples" approach provides numerous
carefully chosen examples that guide step-by-step learning of
concepts and techniques. Fourier series, Sturm-Liouville problem,
Fourier transform, and Laplace transform are included. The book's
level of presentation and structure is well suited for use in
engineering, physics and applied mathematics courses. Highlights:
Offers a complete first course on PDEs The text's flexible
structure promotes varied syllabi for courses Written with a
teach-by-example approach which offers numerous examples and
applications Includes additional topics such as the Sturm-Liouville
problem, Fourier and Laplace transforms, and special functions The
text's graphical material makes excellent use of modern software
packages Features numerous examples and applications which are
suitable for readers studying the subject remotely or independently
Covers ODEs and PDEs-in One TextbookUntil now, a comprehensive
textbook covering both ordinary differential equations (ODEs) and
partial differential equations (PDEs) didn't exist. Fulfilling this
need, Ordinary and Partial Differential Equations provides a
complete and accessible course on ODEs and PDEs using many examples
and exercises as well as intuitive, easy-to-use software. Teaches
the Key Topics in Differential Equations The text includes all the
topics that form the core of a modern undergraduate or beginning
graduate course in differential equations. It also discusses other
optional but important topics such as integral equations, Fourier
series, and special functions. Numerous carefully chosen examples
offer practical guidance on the concepts and techniques. Guides
Students through the Problem-Solving Process Requiring no user
programming, the accompanying computer software allows students to
fully investigate problems, thus enabling a deeper study into the
role of boundary and initial conditions, the dependence of the
solution on the parameters, the accuracy of the solution, the speed
of a series convergence, and related questions. The ODE module
compares students' analytical solutions to the results of
computations while the PDE module demonstrates the sequence of all
necessary analytical solution steps.
The textbook presents a rather unique combination of topics in
ODEs, examples and presentation style. The primary intended
audience is undergraduate (2nd, 3rd, or 4th year) students in
engineering and science (physics, biology, economics). The needed
pre-requisite is a mastery of single-variable calculus. A wealth of
included topics allows using the textbook in up to three
sequential, one-semester ODE courses. Presentation emphasizes the
development of practical solution skills by including a very large
number of in-text examples and end-of-section exercises. All
in-text examples, be they of a mathematical nature or a real-world
examples, are fully solved, and the solution logic and flow are
explained. Even advanced topics are presented in the same
undergraduate-friendly style as the rest of the textbook.
Completely optional interactive laboratory-type software is
included with the textbook.
|
|