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A Student's Guide to Laplace Transforms
The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied mathematics, within a wide variety of important applications in mechanics, electronics, thermodynamics and more. However, students often struggle with the rationale behind these transforms, and the physical meaning of the transform results. Using the same approach that has proven highly popular in his other Student's Guides, Professor Fleisch addresses the topics that his students have found most troublesome; providing a detailed and accessible description of Laplace transforms and how they relate to Fourier and Z-transforms. Written in plain language and including numerous, fully worked examples. The book is accompanied by a website containing a rich set of freely available supporting materials, including interactive solutions for every problem in the text, and a series of podcasts in which the author explains the important concepts, equations, and graphs of every section of the book.
- GenresMathematicsNonfiction
220 pages, Paperback
Published April 21, 2022
3 people are currently reading
40 people want to read
About the author
Daniel Fleisch
8 books43 followersProf. Dan Fleisch short biography
Dan Fleisch is a Professor in the Department of Physics
at Wittenberg University, where he specializes in
electromagnetics and space physics. He is the author of
the internationally best-selling book A Student’s Guide to
Maxwell’s Equations, published by Cambridge
University Press in January 2008 and already in its 12th printing. This book has been
translated into Japanese, Korean, and Chinese. Dr. Fleisch is also the author of A
Student’s Guide to Vectors and Tensors, published by Cambridge Press in 2011, and A
Student’s Guide to the Mathematics of Astronomy, to be published in September of 2013.
He is currently under contract with Cambridge Press for A Student’s Guide to Waves,
which will be published in 2014. Fleisch is also the co-author with the late Prof. John
Kraus of The Ohio State University of the McGraw-Hill textbook Electromagnetics with
Applications.
Prof. Fleisch has published technical articles in the IEEE Transactions, The Journal of
Atmospheric and Terrestrial Physics, and Microwave Journal, and has presented more
than a dozen professional papers on topics related to high-speed microwave
instrumentation and radar cross-section measurement. He has been a regular contributor
of science commentary to PBS station WYSO of Yellow Springs, and in 2006 he
appeared in the documentary "The Dayton Codebreakers" shown on Public
Television. In 2009 he was the first U.S. citizen to receive an Arthur Award from Stuart
McLean of the Canadian Broadcasting Corporation.
Prof. Fleisch was named Outstanding Faculty Member at the Wittenberg Greek
scholarship awards in 2000, and in 2002 he won the Omicron Delta Kappa award for
Excellence in Teaching. In 2003 and 2005 he was recognized for Faculty Excellence and
Innovation by the Southwestern Ohio Council for Higher Education (SOCHE), and in
2004 he received Wittenberg’s Distinguished Teaching Award, the university’s highest
faculty award.
In November of 2010 Prof. Fleisch was named the Ohio Professor of the Year by the
Carnegie Foundation and the Council for the Advancement and Support of Education.
In August of 2013 Prof. Fleisch was named one of the Top 25 Science, Technology,
Engineering, and Mathematics (STEM) Professors in Ohio.
Fleisch received his B.S. in Physics from Georgetown University in 1974 and his M.S.
and Ph.D. in Space Physics and Astronomy from Rice University in 1976 and 1980,
respectively.
Dan Fleisch is a Professor in the Department of Physics
at Wittenberg University, where he specializes in
electromagnetics and space physics. He is the author of
the internationally best-selling book A Student’s Guide to
Maxwell’s Equations, published by Cambridge
University Press in January 2008 and already in its 12th printing. This book has been
translated into Japanese, Korean, and Chinese. Dr. Fleisch is also the author of A
Student’s Guide to Vectors and Tensors, published by Cambridge Press in 2011, and A
Student’s Guide to the Mathematics of Astronomy, to be published in September of 2013.
He is currently under contract with Cambridge Press for A Student’s Guide to Waves,
which will be published in 2014. Fleisch is also the co-author with the late Prof. John
Kraus of The Ohio State University of the McGraw-Hill textbook Electromagnetics with
Applications.
Prof. Fleisch has published technical articles in the IEEE Transactions, The Journal of
Atmospheric and Terrestrial Physics, and Microwave Journal, and has presented more
than a dozen professional papers on topics related to high-speed microwave
instrumentation and radar cross-section measurement. He has been a regular contributor
of science commentary to PBS station WYSO of Yellow Springs, and in 2006 he
appeared in the documentary "The Dayton Codebreakers" shown on Public
Television. In 2009 he was the first U.S. citizen to receive an Arthur Award from Stuart
McLean of the Canadian Broadcasting Corporation.
Prof. Fleisch was named Outstanding Faculty Member at the Wittenberg Greek
scholarship awards in 2000, and in 2002 he won the Omicron Delta Kappa award for
Excellence in Teaching. In 2003 and 2005 he was recognized for Faculty Excellence and
Innovation by the Southwestern Ohio Council for Higher Education (SOCHE), and in
2004 he received Wittenberg’s Distinguished Teaching Award, the university’s highest
faculty award.
In November of 2010 Prof. Fleisch was named the Ohio Professor of the Year by the
Carnegie Foundation and the Council for the Advancement and Support of Education.
In August of 2013 Prof. Fleisch was named one of the Top 25 Science, Technology,
Engineering, and Mathematics (STEM) Professors in Ohio.
Fleisch received his B.S. in Physics from Georgetown University in 1974 and his M.S.
and Ph.D. in Space Physics and Astronomy from Rice University in 1976 and 1980,
respectively.
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Displaying 1 - 3 of 3 reviews
January 14, 2024
What is a Laplace Transform? I went to school for Electrical Engineering, but I dropped out before I could get to the higher mathematics required. You may know about the Fourier Transform for signal processing. The Laplace Transform is a generalized case of the Fourier Transform. The way I think about it is the Pythagorean Theorem. It only works on right-angled triangles, but there is a general solution if you know trigonometry.
Author Daniel Fleisch wrote the book to foster an understanding of how the Laplace Transform works. It involves Differential Equations.
I enjoyed the book, but it was incomprehensible due to my skill in mathematics. Thanks for reading my review, and see you next time.
Author Daniel Fleisch wrote the book to foster an understanding of how the Laplace Transform works. It involves Differential Equations.
I enjoyed the book, but it was incomprehensible due to my skill in mathematics. Thanks for reading my review, and see you next time.
January 11, 2024
Very good!
December 5, 2024
Not bad. But I honestly prefer Chapter 7 of the book "Differential Equations with Boundary-Value Problems" by Dennis Zill and Warren Wright (8th ed.).
Displaying 1 - 3 of 3 reviews