Applied Mathematics 4th Edition by J. David Logan (PDF)

Description

Praise for the Third Edition “Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference.” —MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and natural sciences.The Fourth Edition covers both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green’s functions and integral equations; nonlinear wave propagation; and stability and bifurcation. The book provides extended coverage of mathematical biology, including biochemical kinetics, epidemiology, viral dynamics, and parasitic disease. In addition, the new edition features:Expanded coverage on orthogonality, boundary value problems, and distributions, all of which are motivated by solvability and eigenvalue problems in elementary linear algebraAdditional MATLAB® applications for computer algebra system calculationsOver 300 exercises and 100 illustrations that demonstrate important conceptsNew examples of dimensional analysis and scaling along with new tables of dimensions and units for easy referenceReview material, theory, and examples of ordinary differential equationsNew material on applications to quantum mechanics, chemical kinetics, and modeling diseases and virusesWritten at an accessible level for readers in a wide range of scientific fields, Applied Mathematics, Fourth Edition is an ideal text for introducing modern and advanced techniques of applied mathematics to upper-undergraduate and graduate-level students in mathematics, science, and engineering. The book is also a valuable reference for engineers and scientists in government and industry.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Let’s be honest, I didn’t get this book for my weekend leisure reading. It’s a textbook like any other, though it definitely has more readability than most I’ve had. As some kind of metric for its goodness, I felt like I was reading a book, as opposed to bashing my face against a concrete wall. It shows details for examples (despite their complexity), and that is a trait that, sadly, a lot of textbooks abandon as the math becomes more nebulous. I’m very pleased with the book, and for those buying it for an upcoming course, I wouldn’t worry about this aspect of the class.

⭐This book is just bad. There are numerous typos that just shouldn’t exist in a 4th edition, many of which affect the actual mathematics in the examples/problems so you’re never sure whether the author is actually referencing a new variable “A” or if he means the existing “a.” Worse than that though is how the book is written. The book is super thick, but none of the instruction/explanation seems to actually be fully fleshed out. It seems almost too generous to call what this book does “instructing”, because the methodology is to demonstrate a procedure by a very specific example and then tell the reader “that’s how it’s done and it’s called the method of blah blah”, rather than actually outlining the procedure itself and why it works. This leaves you digging through the example to determine what is actually part of the procedure and what was just specific to that particular problem. Also, the examples are repetitive and much simpler than what’s in the problem section, so you’re left guessing how to adapt the given method to the new scenarios. Bottomline, there’s no solid explanation of the methods or why they work. Boooo.

⭐This book is really bad (read to bottom for recommendation of a much better book).The exposition is okay at best, but Logan struggles to really get the points across well. He is either too concerned with details and misses the forest for the trees, or he is so focused on the big picture that the reader is left with no idea how to do any practical computation.The fourth edition has a typo every other page or so. I’m not sure how four editions of this book managed to get published without a copy editor, but here we are. The typos are often unsettling, and take a while to figure out what Logan actually meant. There are some tame ones, like grammatically incorrect sentences, and some less tame ones, like incorrect equations.Finally, the book is very poorly bound, it fell apart within about an hour of opening it. Any of the Springer and AMS books make this binding look like it was done by a child.Since I don’t want to leave people without alternatives, I recommend Holmes ‘An Introduction to the Foundations of Applied Mathematics’, which is a much better book on every level (and published by Springer, so it won’t fall apart).

⭐There were too many mistakes and not enough explanations. If you already knew the subject it may be a fun review but a poor text book for starters.

⭐It is an amazing book for grad students. It does not leave any idea unclear. The examples are very helpful for conceptualizing the main topics. The exercises cover many different situations to make sure you grasped the concept.I recommend it for all applied science students.

⭐This is a good text to learn how to use Applied Mathematics (esp. with an instructor).

⭐Good text book, easy to read. Definitely designed for upper level courses. That is all I have to say now.

⭐Great book

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