Book Description
This revision of the market-leading book maintains its classic strengths: contemporary approach, flexible chapter construction, clear exposition, and outstanding problems. Like its predecessors, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations as they apply to engineering and the sciences. Sound and Accurate Exposition of Theory--special attention is made to methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace development of the discipline and identify outstanding individual contributions.
Customer Reviews:
Differential Equations with BVP.......2007-09-25
Good book, and covers a well range. JustAsk is a feature they have for an extra cost. While I think it is better then the pearson prentice hall books and online content it still skips steps with eigen values and vectors.
obfuscatory.......2007-06-27
The book tries to make things simple and fails miserably. The round-about explainations are confusing. The maladroit, verbose language obfuscates what they are trying to impart. (It's curious that the 5th edition I looked at is often clearer than this 8th edition, and it's shorter too.) What ahould be simple and direct is convolved (no pun intended) into meandering examples unworthy of the name, the point of which often a mystery even to those who are very experienced with ODEs, and obfuscatory verbosity. I'm baffled as to how they book's author (or anyone) thought this might be a useful style. If you are a Professor, then please be nice to the kids and don't use this. If you are a student, I strongly recommend you buy an additional textbook; it would amaze me to see anyone learn ODEs from this; it should be at least possible, albeit difficult, to learn the subject from a textbook alone.
Great text for ODE's class.......2007-06-01
I used this text in my ordinary differential equations class and found it to be very helpfull. This text had good coverage of material for an upper class undergraduate or first year graduate course. Each subject was introduced in a clear manner with a detailed outline of the derivation of the method being used. I had another text while I was taking this course and the authors of that text would give you a theorem and then the method or formula to solve your given problem with no connection between the two. This book was very best in allowing you to gain a deeper understanding of what you were doing. The authors did clearly state the theorems, but did lack in proof in most cases. They did gave an outline to proof most of the time, which was helpful in working my own proof. Overall this text is a good one and I would strongly recommend it.
Dont be fooled........2007-04-17
Those of you that believe those 5 star reviews are true, forget it. After passing a course of differential equations throughout a grueling semester I can certainly attest to the latter.
This book has horrid if not completely non-existent examples and even the solutions manual is nearly worthless. If you've spent more than a semester without calculus you might as well forget trying to use this book in a formal course.
Perhaps if you're a "bright" student you could make use of this book, though still it is absolutely no testament to professional teaching methodology. If you intend to learn the subject for any moderate application, look elsewhere. This book has no practical application examples worth any salt. This book is not for engineers; most certainly it's best application being for theoretical mathematicians.
If your instructor requires this book, and you're an engineer, you'd better start hoping he's a darn good instructor.
this book is a disgrace to mathematics.......2007-03-27
If I didn't have better things to live for, I would dedicate my life to hating this book. It's TERRIBLE! Visual learners shudder and linguists are baffled left and right. The examples don't match up AT ALL with the exercises and the book is not succinct at all, whatsoever. There is no elegance. This book is a disservice to mathematics. PLEASE, if your instructor requires this book, CHANGE INSTRUCTORS.
Book Description
This revision of Boyce & DiPrima's market-leading text maintains its classic strengths: a contemporary approach with flexible chapter construction, clear exposition, and outstanding problems. Like previous editions, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations as they apply to engineering and the sciences.
Student Solutions Manual:
Created as an integral learning aid to Boyce and DiPrima's Elementary Differntial Equations, 8E, this Solutions Manual provides worked out answers to select problems in the text. Using the Solutions Manual as you work your way through the course will ensure that you are doing the work right all along.
Customer Reviews:
A decent book.......2007-02-18
It's a decent book which would be of great help to students.
I have seen the light!.......2006-10-14
Like another reviewer commented, this book is great for self teaching. With this book I am able to preview the chapter before class, understand it, decipher my professor's chicken scratch on the board, and ask intelligent questions about the material. True, it doesn't have the solutions to every single problem, though it does have solutions to every *type* of problem. You work/solve the problem of the same type as the problem with which you are having trouble, and extrapolate that knowledge to the problem you need to work. This book is exactly the kick in the brain I needed to start receiving better grades!
Read Before You Buy.......2006-07-28
I wish someone told me that this manual only had a Sampling of solutions for each section. It did not help me much since it seemed that all the problems my professor assigned were the ones that were not in the manual. The book also has a wierd way of explaining things but I was able to struggle through. If I knew what I know now I would not have bought the book for full price but I would have purchased it used for half the price.
Not the full solutions.......2006-03-23
Solutions are sometimes even more abstruse than the problems and concepts themselves. Someone got lazy writing out these solutions! Plus, more than half the problems are not solved in this book. Not worth $34 in my opinion.
Great for Self-Teaching.......2006-03-02
I only attended three lectures in my elementary differential equations course, but this book allowed me to take away a lot from the class either way. A subsequent course in Linear Analysis panned out the same way. The book is self-contained and well stocked with examples. It forces the reader to develop a command for the material, offering a good array of exercises from easy to difficult. If you like to teach yourself math, or if you simply don't follow lectures very well, this book is great as both a self-teaching tool or as an occasional reference.
Book Description
This revision of Boyce & DiPrima's text maintains its classic strengths: a contemporary approach with flexible chapter construction, clear exposition, and outstanding problems. Like previous editions, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations as they apply to engineering and the sciences.
A perennial best seller designed for engineers and scientists who need to use Elementary Differential Equations in their work and studies.
The CD-ROM includes:
- The award-winning ODE Architect software. The software's 14 modules enable you to build and solve your own ODEs, and to use simulations and multimedia to develop detailed mathematical models and concepts in a truly interactive environment.
- The ODE Architect Companion. The Companion extends the ideas featured in each multimedia module.
The web-based learning tools include:
- Review & Study Guidelines. The Chapter Review Guidelines will help you prepare for quizzes and exams.
- Online Review Quizzes. The quizzes enable you to test your knowledge of key concepts and provide diagnostic feedback that references appropriate sections in the text.
- PowerPoint Slides. You can print these slides out for in-class note taking.
- Getting Started with ODE Architect. This guide will help you get up-and-running with ODE Architect's simulations and multimedia.
Customer Reviews:
Not for the pure Mathematician, thank heavens.........2007-08-23
A great book for the engineering or physics student or professional, as it motivates you by "real" world examples. But if your prof is the super-rigourous-proof type despising applied math, then this book won't help you.
Horrible Book.......2006-11-28
I had used this book for a Introductory Differential Equations class I took my Junior year and because of this book I had the worst time understanding the material in this class. The explanations are convoluted and lengthy, yet somehow manage to skip important steps, leaving it up to the student to have to decipher the logic behind the example problems and core theorems/methods. You know a textbook is bad when understanding the concepts and examples takes just as long as doing the homework. Professors, I beg you not to make your students have to purchase and use this book in your Diff. Eq's classes. I guarantee you'll have a more motivated and successful class if you choose a more interesting, less lifeless book than this.
Popuplar! But is it the best??.......2006-04-22
The famous physicist Richard Feynman once said the most popular textbooks are generally not the best. This one by Boyce and Diprima is a standard in college level DE. I found it a bit dry. If you want one that's more interesting check out Fred Brauer's Elementary Differential Equations: Principles, Problems and Solutions. ASIN: B0006BV1KG It's really good companion to any DE course.
Bad...just bad..........2006-02-20
I have both the text and the solutions manual that accompanies it. The book itself is lousy; the examples skip so many steps they're nearly impossible to follow. The so called solutions manual isn't any better; it only has certain problems worked out, and even those aren't done well. At least the book has one line answers to ALL the problems in the back.
Why This Book?.......2006-02-05
This is the standard text for D.E.'s at Stanford University. Stanford's syllabus and problem sets can be located at this address: http://math.stanford.edu/~vakil/034/index.html
Using this book in my Ordinary D.E. course initially was a problem; the material in the book more often than not favors pretentious symbols to conventional ones, which can get really annoying during exams and especially when trying to learn unfamiliar concepts.
Calculus I, II, and III are immensely useful in this text, as certain steps are omitted for the sake of verbosity that are already used in Calculus.
Regardless of prerequisites and the above trivialities, this book WILL teach you differential equations.
In conclusion, Boyce's text is superlative compared to most others out there (so I've heard), presenting material clearly. Schaum's Outlines for Differential Equations or some other supplementary course would prove invaluable as companions in D.E.'s. Finally, skip the first chapter, since it is repeated in the second and third ones and presents nothing novel.
Book Description
Maintaining a contemporary perspective, this strongly algebraic-oriented text provides a concrete and readable text for the traditional course in elementary differential equations that science, engineering, and mathematics readers take following calculus. Matters of definition, classification, and logical structure deserve (and receive here) careful attention for the first time in the mathematical experience of many of the readers. While it is neither feasible nor desirable to include proofs of the fundamental existence and uniqueness theorems along the way in an elementary course, readers need to see precise and clear-cut statements of these theorems, and understand their role in the subject. Appropriate existence and uniqueness proofs in the Appendix are included, and referred to where appropriate in the main body of the text. Applications are highlighted throughout the text. These include: What explains the commonly observed lag time between indoor and outdoor daily temperature oscillations?; What makes the difference between doomsday and extinction in alligator populations?; How do a unicycle and a two-axle car react differently to road bumps?; Why are flagpoles hollow instead of solid?; Why might an earthquake demolish one building and leave standing the one next door?; How can you predict the time of next perihelion passage of a newly observed comet?; Why and when does non-linearity lead to chaos in biological and mechanical systems?; What explains the difference in the sounds of a guitar, a xylophone, and a drum? Includes almost 300 computer-generated graphics throughout the text. This text, with enough material for 2 terms, provides a concrete and readable text for the traditional course in elementary differential equations that science, engineering, and mathematics readers take following calculus.
Book Description
Maintaining a contemporary perspective, this strongly algebraic-oriented text provides a concrete and readable text for the traditional course in elementary differential equations that science, engineering, and mathematics readers take following calculus. Matters of definition, classification, and logical structure deserve (and receive here) careful attention for the first time in the mathematical experience of many of the readers. While it is neither feasible nor desirable to include proofs of the fundamental existence and uniqueness theorems along the way in an elementary course, readers need to see precise and clear-cut statements of these theorems, and understand their role in the subject. Appropriate existence and uniqueness proofs in the Appendix are included, and referred to where appropriate in the main body of the text. Applications are highlighted throughout the text. These include: What explains the commonly observed lag time between indoor and outdoor daily temperature oscillations?; What makes the difference between doomsday and extinction in alligator populations?; How do a unicycle and a two-axle car react differently to road bumps?; Why are flagpoles hollow instead of solid?; Why might an earthquake demolish one building and leave standing the one next door?; How can you predict the time of next perihelion passage of a newly observed comet?; Why and when does non-linearity lead to chaos in biological and mechanical systems?; What explains the difference in the sounds of a guitar, a xylophone, and a drum? Includes almost 300 computer-generated graphics throughout the text. This text, with enough material for 2 terms, provides a concrete and readable text for the traditional course in elementary differential equations that science, engineering, and mathematics readers take following calculus.
Customer Reviews:
Helpful for math majors only.......2004-12-04
I've used this book during my differential class over the last semester. The problems in the book are carried out well and the back of the book has even and odd answers to help your understanding. For math majors, this book is great because it really wants you to "experience" the world of diff EQ, but for engineers or others taking it as a side class, it doesn't offer good examples for getting the job done. A good instructer can correct this though. As a book, 3 stars.
Very good.......2003-01-23
Fast and its just brand new, he never opened the books
Good book but a strong background on calculus required........2000-09-06
This book will tell you everything you need to learn on differential equations. It covers thoroughly the methods for solving first and second order differential equations. The book also extends into Fourier transforms. I used this book at MIT for the differential equations class and found it very useful. Within its contents, matlab exercises are present and some simple projects which lets the student apply its knowledge. The only problem with the book is that it can be hard to read at certain points. Also the author assumes a strong background in calculus.
Book Description
KEY BENEFIT Emphasizing physical interpretations of mathematical solutions, this book introduces applied mathematics and presents partial differential equations.
KEY TOPICS Leading readers from simple exercises through increasingly powerful mathematical techniques, this book discusses hear flow and vibrating strings and membranes, for a better understand of the relationship between mathematics and physical problems. It also emphasizes problem solving and provides a thorough approach to solutions. The third edition of , Elementary Applied Partial Differential Equations; With Fourier Series and Boundary Value Problems has been revised to include a new chapter covering dispersive waves. It also includes new sections covering fluid flow past a circular cylinder; reflection and refraction of light and sound waves; the finite element method; partial differential equations with spherical geometry; eigenvalue problems with a continuous and discrete spectrum; and first-order nonlinear partial differential equations. An essential reference for any technical or mathematics professional.
Customer Reviews:
Outstandingly clear, although somewhat overly idealized........2006-11-18
This is an amazingly clear book that makes the subject of Partial Differential Equations seem very easy; it does so by exploring idealized problems and their solutions in a context where the student can master the various techniques and methods. The result is that the field of PDE's seems more unified than it does in most presentations. There is rich and clear discussion, and the book thoroughly explores the motivation behind the various techniques. Its only possible flaw is that it doesn't prepare the student for the "real world", although it does provide a quick path towards obtaining the necessary background to read books that engage in more "ugly" mathematics.
This book seems oriented towards an undergraduate course in PDE's and would be excellent in that role. However, I still found it immensely useful in my graduate courses as a reference and as a place to quickly master techniques I had skipped or forgotten. This book is exceptionally well-suited to self-study, with a healthy dose of exercises with answers in the back. An advanced student will find this book very easy to move through, in stark contrast to other PDE texts like the Weinberger. This book is well-complemented by the "Applied Mathematics" book by Logan; where the books overlap, Logan's book provides a more practical and less idealized (although more difficult) approach and is a natural next step after this book. Students moving in a more theoretical direction might look to the book on PDE's by Evans as a logical next step.
ok that it's not rigorous IMO, it's just an intro.......2004-04-12
I don't mind that this book isn't very rigorous; after all it's just an intro. This book may be better for a physics or engineering student for that reason, and the rigour can come later if you're in math. I had this text for an intro PDEs course that had many students from physics or engineering, so I totally believe that this is the right book for them. Maybe if math students want more rigour they could learn the proofs of everything. This book is a pretty good 1-stop text for everything you'd want to do in undergrad PDEs. There are enough examples and problems to make things clear. It's definitely a keeper if you're going to carry on with PDEs.
Comprehensive, detailed, easy to read -- a good PDE text.......2004-02-11
This PDE text by Haberman covers the ideas about separation of variables, Sturm-Liouville problem, finite difference numerical method, Green's function, Fourier transform, Laplace transform, and the method of characteristics. It presents the materials in quite plain, detailed manner. To me, the best part of this book relative to another books is that of Green's function. I've read Arfken, Farlow, and Strauss's texts, but have never got a satisfactory understanding.
The Strauss's one is the worst. To a beginner or non-mathematician, it is impossible to accept that kind of crazy things. The Farlow's one doesn't pay enough effort on this topic. It just goes through in a few pages. The Arfken's one (Mathematical Methods For Physicists) gives a concise presentation in quite physical way, but not for beginner. It is more like a summary.
Haberman introduces Green's function in his book with two chapters and in a quite different manner. He doesn't, like most physicists do, introduce it by Poisson's equation, but by heat equation and Fourier series; the ordinary definition of Green's function with delta function is given later. Though I think this is not a good idea and the presentation is not good, I do agree that it is much easier for beginners to understand. He makes no haste going into the three-dimensional case. Instead, he works on one-dimensional cases, then two and three-dimensional cases systematically. The point is, I think this won't make it too mathematical like the Strauss's one or too physical so that it is too constricted. In addition, he derives Green's functions in deductive way, instead of only taking a look at the physical suggestions. This makes the results convincible and gives readers a more comprehensive understanding.
Perhaps the most annoying thing of this book is that it is too wordy. However, this may be another advantage-the text is hard not to understand!
Someone says that Haberman hardly works on subjects other than heat equations. That kind of comment is misleading. He does work on wave and Laplace's equations. He just use heat equation as a main thread.
If you're learning PDE for physics or engineering or other applications, this book is quite suitable for self-studying. If you only want to study the most basic ideas about PDE, then Farlow's may be a light choice. If you want to study more, you can read Haberman's text.
Feedback from using book in a course.......2003-03-24
This book is below my expectations as a good introductory book. It doesn't have enough examples, and the examples are too straightforward in some cases. Too much attention is sometimes paid to development of the proofs, which can be left out if this book is as the title suggests : "elementary", because it's more useful to show the reader how to solve the problems. In terms of the organisation of the book, it's a bit confusing (this is especially obvious if you compare this book with Farlow). I think an excellent book can be produced if this book is merged with Farlow and with plenty examples thrown in. i'm not sure how this book was selected as a required text for my math course in Boundary Value Problems because i'd hope that there are better books out there in this 21st century.
An Applied Math Text for PDEs.......2002-11-04
Haberman's book clearly explains how to solve various kinds of PDEs and does provide insight into the meaning of the techniques and solutions. It is a good applied math text and those who are looking to use the techniques for other pursuits will find the book useful. It is not a math text, and may lack "rigor" for those who want it.
Average customer rating:
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Elementary Differential Equations with Boundary Value Problems
William Trench
Manufacturer: Brooks Cole
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ASIN: 0534263283 |
Book Description
Written in a clear and accurate language that readers can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages readers. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow reders to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and readers who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.
Book Description
Elementary Differential Equations with Boundary Value Problems integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way. For example, whenever a new type of problem is introduced (such as first-order equations, higher-order equations, systems of differential equations, etc.) the text begins with the basic existence-uniqueness theory. This provides the student the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. The Table of Contents is comprehensive and allows flexibility for instructors.
Customer Reviews:
Suitable for a two-semester course, overkill for a one-semester course.......2006-12-27
As a teacher at a small college, at some point I will be required to teach just about every class in the math and computer science curriculum. Therefore, I examined this book for possible adoption as a text in our differential equations course and found it to be appropriate in many ways.
In my opinion, differential equations is a retro course as far as proofs are concerned Meaning that although it is an upper division math course, proofs are best when they are few and far between. That was the strategy taken in this book. Each section opens with a discussion of the new solution strategy, followed by some examples of how it is applied, additional explanation if warranted and then a set of exercises. Solutions to the odd-numbered exercises are included at the end.
The quality of the explanations is quite good; the student who has done well in their three-semester calculus sequence will have little difficulty understanding it. However, the coverage is significantly beyond what I consider to be the necessary material for an introductory course in differential equations. The chapter titles are:
*) Introduction to differential equations
*) First order differential equations
*) Second and higher order linear differential equations
*) First order linear systems
*) Laplace transforms
*) Nonlinear systems
*) Numerical methods
*) Series solutions of linear differential equations
*) Second order partial differential equations and Fourier series
*) First order partial differential equations and the method of characteristics
*) Linear two-point boundary value problems
The last three chapters are the material that I consider beyond what I would cover in a first course in differential equations. Although I readily concede that this book would be well suited for a two-semester course in differential equations.
I don't know when I will teach differential equations again. When I do, this book will not be on my list of possible textbooks. However, the companion volume without the last three chapters is right now at the top of my list of candidates.
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