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Differential Equations, by K. A. Stroud, Dexter Booth
Download Ebook Differential Equations, by K. A. Stroud, Dexter Booth
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Using the same innovative and proven approach that made the authors' Engineering Mathematics a worldwide bestseller, this book can be used in the classroom or as an in-depth self-study guide. Its unique programmed approach patiently presents the mathematics in a step-by-step fashion together with a wealth of worked examples and exercises. It also contains Quizzes, Learning Outcomes, and Can You? checklists that guide readers through each topic and reinforce learning and comprehension. Both students and professionals alike will find this book a very effective learning tool and reference.
- Offers many practical do’s and don’ts while covering all the popular Fanuc control systems exclusively.
- Numerous examples and sample programs are used throughout and serve as practical applications of the techniques presented and as the basis of ready-to-run macro programs.
- Sales Rank: #1090210 in Books
- Brand: Brand: Industrial Press, Inc.
- Published on: 2004-01-10
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x .90" w x 7.00" l, 1.66 pounds
- Binding: Paperback
- 416 pages
- Used Book in Good Condition
Review
By far the best book on the subject I have ever seen! An easy-to-use refresher course. --Henry Ryffel, Author Machinery's Handbook
About the Author
K.A. Stroud formerly was a professor in the Department of Mathematics at Lanchester Polytechnic (now Coventry University) in the United Kingdom. He is also the lead author of the very popular Engineering Mathematics and Advanced Engineering Mathematics, which are also available from Industrial Press.
Dexter J. Booth teaches in the United Kingdom at the University of Huddersfield. He is the author of several mathematics books, including with Stroud the latest editions of Engineering Mathematics and Advanced Engineering Mathematics.
Most helpful customer reviews
23 of 23 people found the following review helpful.
limited, but excellent within those limitations. Good for the how, not the why
By Patrick Thompson
Ok, this is not a beginners book. You NEED to know your algebra, trig relations, and calculus very well before you start on this, in particular differentiaion of log, exponential, trigonometric functions, implicit differentiation, integration by parts and substitution. Also good if your up on partial fractions, complex numbers and of course, your algebra. There is not attempt at revision of these ocncepts in the book and no appendices containing it. You'll probably need a table of integrals handy too when you work through it on the questions.
Ok, that aside, the book is purely about solving ODE's. It's contents include
program 1: First order Differential Equations
program 2: Second order differential equations
program 3: series 1
program 4: series 2
program 5: power series solutions of ODEs
program 6: Introdction to laplace trasnforms
program 7: Laplace transforms 2
program 8: laplace transforms 3
program 9: Z transforms
program 10: Matrix Algebra
program 11: Numerical solutions of ODEs
OK, the book has all the answers (not worked) to all of the questions. The questions are plentiful and take the form of review exercises (for each sub program), Test Exercises for each program and Further Exercises for each program. As far as I can tell there are no errors in the answers. I will warn you though: some of the further exercises are difficult! (we talking: multiple change of variable substitutions, partial fractions followed by integration by parts all to solve one ode!).
The teaching of the methods (algorithms if you prefer) is rquite strong with multiple fully worked examples for each concept and then questions for you to answer followed by fully worked solutions for those answers so you can see where you may have gone wrong. However strong this pedagogy is, there is little actual motivation for the work. There is no connection to applying ODE's to the real world. Also, some of the proofs are not what you would could rigorous, which will annoy the math students and please the engineers.
I suggest ODEs by Tennenbaum and Pollard (isbn: 0486649407) if you want motivation and just about every possible application of ODEs to real situations, in addition to this book. Do this book first perhaps to get the methods (algorithms) down and then go to Tennenbaum and Pollard for applying ODEs and filling in the gaps that this book leaves.
For somebody who just needs to know how, this is a good book: if you can't learn it from this book, then you probably aren't gonna get it without some help from a prof/ lecturer. if you want to know why, then it isn't so great (hence the loss ot stars).
So in conclusion, not bad. Does what it seeks to do extremely well, but what it seeks to do is the algorithms for solving ODEs, not applying ODEs and solving actual physical applications. Also, proofs lack some rigor and make a few assumptions.
7 of 7 people found the following review helpful.
Not a bad place to start learning differential equations.
By Leeber Cohen
This textbook is a relatively good place for self learners to begin their study of differential equations. The method used takes you step by step through the many worked out examples. The degree of calculus algebra, trig, and calculus needed is not overwhelming. A one year course in calculus is more than adequate. The book would receive a 5 rating if all the test problems and further problems were fully worked out. It is also lacking in first and second order word problems. The best answer for this is to find a copy of the Schaum's Solved Problems in Differential Equations which is out of print. What a shame. It would be wonderful if Schaum's updated and reprinted it. There is no better way to learn this material than to learn the fundamentals, try solving the problems, and then check against a solved solutions. Stroud's Programs 3-5 on series and Programs 6-8 on LaPlace Transforms are very well done. Program 10 on matrix algebra gives you a brief introduction to Linear Algebra including a brief introduction to eigenvalues and vectors. Program 11 on numerical solutions is dated. You will need to find training materials from Maple, Matlab, and Mathematica or other vendors. The Tennenbaum text mentioned in the other review is an excellent standard textbook available from Dover at a very modest price. For the mathematicians out there the derivations and theorems are more thorough as stated. The material in Stroud's programs 1-2 is much more fully covered by Tennenbaum. The issue with Tennenbaum is there are not enough worked out examples. Answers are given for the numerous problems but not worked out. I have not been able to find them solved on line which would be great for self learners like myself. The Dummies Series workbook on Differential Equations is pretty good although there are a couple of errors in the solutions that need to be fixed and the derivation of the LaPlace transform of the sin(x) could be much more straightforward. If you can afford it you can purchase the textbook which accompanies it. They are not a bad place to start and both together cost less than the Stroud text. The Differential Equations DeMystified text has a lot of interesting material in it. However,it is a difficult read and not a good learning tool. There are several standard textbooks on Differetial Equations. They are expensive books.
10 of 11 people found the following review helpful.
Guys Get This For Self Teaching & Add Tenenbaum Too!
By THE HAPPY READER
This book is for the self taught gentleman. If you prefer to teach yourself, or are just not very good in a classroom setting, you know sitting for long hours and just listening... and for most of us guys does it's not why we picked the sciences. No we'd much rather get into it for ourselves! And this book is pretty darn good for that. Why pretty darn good vs. perfect? Well it doesn't really address the "theory" side of things. It just shows you the techniques themselves. For the theory you're probably better off with Ordinary Differential Equations by Morris Tenenbaum. I don't think Tenenbaum shows the step by step process as well as this book does. There were a couple of spots where I had to stop for a second because the next step wasn't quite so clear, but a few minutes of contemplation cleared things up.
But overall, if you really buckle down with this puppy, and keep doing the exercises on paper (not just in your head) it will teach you the essentials of differential equations. Then if you supplement it with Tenenbaum, well you'll be well versed. Better than one of the paper mill students of the modern University - unless your lucky enough to get an enthusiastic professor who also has talent in conveying his knowledge to you.
Lastly the book could use some more examples, but that would drive up the cost even more. Consider checking out Schaum's Differential Equations from your local library or school's library for more problems though. Quick and easy with the solutions in the back.
Short Summary:
This book succeeds as a self teaching guide to techniques, stops short on theory, and could also use a few more example problems, but does have enough to learn the basic idea for each technique.
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