More Pages: Boundary Page 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28


written by math professors for math professors
Good intro book to accompany a course
Elementary Diffential Equations by Boyce and DiPrimaa strong background in higher mathematics. The work provides
a step-by-step analysis of the classic problem areas i.e.
initial value problems, solution boundaries, homogeneous and
non-homogeneous solutions, the exponential form, higher order
differential equations, variation of parameters, LaPlace
transformation and other more exotic applications too numerous
to list here. For non-math majors, the book may become difficult
to follow. Therefore; it may help to consult with the Schaum's
Outline in order to supplement this text. Boyce and DiPrima
is more than enough to get you through the Fundamentals of
Engineering Examination. Differential Equations is a subject
which requires students to take copious notes. It pays to
struggle through the homeworks and to plan daily study sessions
of 15 minutes to 1 hour depending upon where you are in the
course. It is well worth the effort to master this course
because the applications to engineering are numerous and profound. Mastery of this subject will provide you with a
life-long skill.


Incomprehensible
Intellectual Playgrounds
Excellently written and arguedHaving said that, I find the book well-written, referenced, and closely argued. The author is up-front and explicitly lays out the three main theses she wishes to convey in the Introduction.
These theses, very briefly, are:
1) Empirical success of physics theories argues for their truth but not necessarily their universality.
2) Laws, where they do apply, hold only ceteris paribus.
3) Our most wide-ranging scientific knowledge is the knowledge of the nature of things, not our knowledge of laws. The former being far more generative.
Continuing from her previous book, "How the Laws of Physics Lie", the author argues that the 'laws' comprising science are not pieces of a grand unitary hierarchical schema of laws (towards the completion of which science is usually presumed to be headed), but rather that the relationship between laws is tenuous at best (hence, "Dappled" in the title). That the laws of nature are true ceteris paribus, and that their validity relies on "successful repeated operations of a nomological machine" (p. 50). A nomological machine being the selected components, capacities and situations that will repeatedly display the same behavior (the behavior that the resultant laws encode - typically with an implicit universal quantifier in front of them).
This is not anti-science or anti-realism or social constructivism. It is, however, explicitly anti-scientific-fundamentalism. The laws of science are not absolute and final, and an ideological belief in that absolutist view is misplaced. Science is a more complicated act than that and it is possible that "reality may well be just a patchwork of laws" (p. 34)


Boundaries are divisiveMy wife and I had just finished reading "Love is a Decision," by Gary Smalley, when we decided to try this title that had been recommended on "Focus on the Family." We got the workbook and made a sincere attempt to read and discuss each chapter.
The more we tried to get into the book, the more uptight I got, until I coudn't stand it any more and got rid of it.
Some of the principles in this book are bound to be helpful, and I have no argument there, except that they kept calling them "rules" or "laws" or some such thing. Once something is called a "law" and you have trouble "obeying" it, it's easy to get down on oneself.
The other problem I had with the book, is that I felt like it was written by a committee. There were many times when the examples and illustrations made me go, "What?" They just didn't seem to fit with the point the authors were trying to make.
If you're looking for something more positive to nurture your marriage along, I'd recommend books by Smalley over this. I'd rather work on being friends with my wife than setting up boundaries.
The next book we're going to read is "The Seven Principles for Making Marriage Work," by John M. Gottman. It's been highly recommended by someone we respect a great deal.
Excellent book for all married people

Reprint of 1913 edition with "wrong names"-- save your money
great

the boundaries of bad writing and bad thinking
Philosophy in Postmodernity

Identifying with Boundaries II

Smoothed out!

Professors: Beware!
I thought that the book was lovely
Very Good BookThe book is excellent. The explanations are clear. The example problems are not just "plug and play." The problems at the end of each section are not bad. I learned about oscillations and mechanical vibrations in physics and then learned about them from this book (3.4/3.6)...the difference was amazing. Their derivations made sense, and the characteristic polynomial technique they use is 1000 times simpler than the trial solution method that many introductory physics books on mechanics use.
The book's only weak point is the discussion of stability and the phase plan in 6.1. They develop it through a bunch of examples instead of talking about the general theory behind it. But this is a minor problem.


Not a Good Book for Learning Applied Math
Useful for Learning Methods of Solution
A job well done...

Warning! This book is not suitable for children or teens!
Boring
Beginning a dialogue