Elementary Differential Equations and Boundary Value Problems
- Downloads：8813
- Type：Epub+TxT+PDF+Mobi
- Create Date：2021-11-09 07:52:34
- Update Date：2025-09-07
- Status：finish
- Author：William E. Boyce
- ISBN：1119382874
- Environment：PC/Android/iPhone/iPad/Kindle
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Reviews
Adrian Vramulet
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Story could have been more interesting。 I felt the need for a more general treatment。 Otherwise good collection of exercises。
Shruthika
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ngl i did not read this book。 take this review as your sign to be better than me
Mubarak Alsaeedi
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I studied the first six chapters in the Math-240 course at Kuwait University。 Also， I used it as a reference for math-340 which was about the theory of ordinary differential equations。
Caiter Peterson
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Mostly understandable decent math textbook。 Not too confusing。 Could use more foundational review and more examples if complex problems。
William Schram
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tElementary Differential Equations and Boundary Value Problems delivers what it promises; a set of elementary differential equations and the techniques used to solve them。 This book is replete with examples and has numerous problems to solve along with the book。 Each chapter has an introduction to the problems at hand， an explanation of techniques used to solve the problems， the problems themselves， and references for further reading。 Along the way， we are treated to little tidbits of trivia loc tElementary Differential Equations and Boundary Value Problems delivers what it promises; a set of elementary differential equations and the techniques used to solve them。 This book is replete with examples and has numerous problems to solve along with the book。 Each chapter has an introduction to the problems at hand， an explanation of techniques used to solve the problems， the problems themselves， and references for further reading。 Along the way， we are treated to little tidbits of trivia located in the footnotes。 Most of the trivia is about famous mathematicians of the past and their contributions to the realm of mathematics or physics。 This book expects a grounding in elementary calculus， but it still goes back and covers some of the topics that you should be familiar with。 Since this edition of the book was printed in 1977， it doesn’t have that many pictures and very little color。 Personally， I like it like this， since a lot of the images and graphs can get distracting。 Since the book was originally printed in 1965 it might have some old terminology， but given the context I understood what was meant。tThe book is divided into eleven main chapters， which are further subdivided into sections。 These chapters are as follows; Chapter 1 is merely an overview and introduction。 It talks about what differential equations are， and the history that they have。Chapter 2 is called First Order Differential Equations。 Not much to say about this one。 It starts with Linear Equations and goes on to Homogeneous Equations。Chapter 3 is called Second Order Linear Equations。Chapter 4 is called Series Solutions Of Second Order Linear Equations。Chapter 5 follows Higher Order Linear Equations。Chapter 6 discusses the Laplace Transform。Chapter 7 discusses Systems of First Order Linear Equations。Chapter 8 discusses Numerical Methods。 This chapter probably needs an explanation。 It starts with the Euler or Tangent Line Method， goes on to the error involved in it and improves on it。 The following sections cover the Runge-Kutta Method and some other methods。Chapter 9 is Nonlinear Differential Equations and Stability。Chapter 10 is Partial Differential Equations and Fourier Series。Chapter 11 is Boundary Value Theorems and Sturm-Liouville Theory。 Since this is a textbook， it contains a suggested syllabus for a classroom setting， assuming that you have a single semester of three hour classes。tAll in all， this was a good book。 It was written in such a way that it explained the terminology and didn’t go too far over my head。 The main problem I have with advanced mathematics is that I only got up to Calculus II， and I don’t think I did too well in that case anyway。 Being an autodidact is hard sometimes。 Nonetheless， the book was quite good and written in a manner that I enjoyed。 。。。more
Douglas Mendes
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Learned the topic reading this book by myself， not attending classes。
Gabriel Mintzer
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Differential Equations was certainly one of my favorite courses， and this textbook is one reason why I enjoyed the course so much。 The textbook makes all of its concepts clear with illustrative examples， and the material that it covers， though advanced， is absolutely fascinating。 Additionally， some of the exercises connect to historical math problems and models; I still recall an exercise walking the reader through a procedure for solving the brachistochrone problem。 I would recommend this book Differential Equations was certainly one of my favorite courses， and this textbook is one reason why I enjoyed the course so much。 The textbook makes all of its concepts clear with illustrative examples， and the material that it covers， though advanced， is absolutely fascinating。 Additionally， some of the exercises connect to historical math problems and models; I still recall an exercise walking the reader through a procedure for solving the brachistochrone problem。 I would recommend this book to anyone who is taking Differential Equations or wants to self-study the material。 。。。more
Zohre
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Last semester， i didn't attend my Differential Equations classes， and just by self-studying this book， i picked it up completely， and i got a full mark！So i really appreciate this book :） Last semester， i didn't attend my Differential Equations classes， and just by self-studying this book， i picked it up completely， and i got a full mark！So i really appreciate this book :） 。。。more
Erik
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I've been using this for a general review of Diff Eq。 It is a little dense for a first read （I recommend first mastering all of the rote methods with one of the demystified books or schaum's outlines） but has great problems and nice no frills attack on Matrix methods and PDE at the end。 I've been using this for a general review of Diff Eq。 It is a little dense for a first read （I recommend first mastering all of the rote methods with one of the demystified books or schaum's outlines） but has great problems and nice no frills attack on Matrix methods and PDE at the end。 。。。more
April
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I had a shaky foundation in calculus， particularly infinite series， heading into my differential equations class。 It didn't particularly matter with this book。 The book reviews a few of the more challenging concepts from calculus when needed and is gentle when explaining new material。 Generally speaking， if you can differentiate and integrate and quickly google whatever gaps in knowledge you might have， this is a great book。 I can honestly say I've never had a clearer math text。 It occasionally I had a shaky foundation in calculus， particularly infinite series， heading into my differential equations class。 It didn't particularly matter with this book。 The book reviews a few of the more challenging concepts from calculus when needed and is gentle when explaining new material。 Generally speaking， if you can differentiate and integrate and quickly google whatever gaps in knowledge you might have， this is a great book。 I can honestly say I've never had a clearer math text。 It occasionally borders on being too thorough by being weirdly repetitive， but this is confusing only until you catch up to the style of the book。 I've never had a problem with the examples worked; unlike other math texts， this book uses multiple examples applicable to a variety of situations and with varying difficulty， meaning less of a gap between the difficulty of the examples and the difficulty of the exercise problems。 Some chapters are a little less clear and easy to follow than others， thanks to a strict adherence to formality in the derivations。 Most of the chapters that I used were fantastic， but as I didn't use the entire book， I can't make any guarantees for all of the topics it covers。 The book doesn't take you through derivations that would be too difficult or lengthy for the scope of the book and is clear about why it skips a derivation when it has to， which is much appreciated for saving time and stress。The grades I made in my differential equations class had a lot of room for improvement， but just taking notes on the text of each chapter gave me roughly a 50% understanding of the material as applied to any problem， which is pretty stellar; once I started running through the exercise problems， I had few difficulties in the class。It's probably a little weird to say， but I actively enjoyed using this textbook。 I had some math anxiety from previous calculus classes that used Stewart's piece of toilet paper for a textbook but I had no issues learning from this book。 It's definitely staying on my shelf。 （Also， the 9th edition is available online for free in pdf form if you just google for it！） 。。。more
Ryan
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Great Intro。 Doesnt get into PDE's， but has a couple good real physics sections。 Great Intro。 Doesnt get into PDE's， but has a couple good real physics sections。 。。。more
Pr0x1mo
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Yes， i actually read this from front cover to appendix。
Steve Stuart
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I'm sure there have been many changes since this （third） edition of Boyce & Diprima， but the basics of "diffy cue" haven't changed in the 30+ years since it was published。 This was a perfectly functional textbook for my introduction to the field。 Actually， very little of what I know about differential equations comes directly from this book -- most of it came from the repetition and more relevant applications in later and more applied courses。 But this book provides the ticket into those other s I'm sure there have been many changes since this （third） edition of Boyce & Diprima， but the basics of "diffy cue" haven't changed in the 30+ years since it was published。 This was a perfectly functional textbook for my introduction to the field。 Actually， very little of what I know about differential equations comes directly from this book -- most of it came from the repetition and more relevant applications in later and more applied courses。 But this book provides the ticket into those other studies: the terminology， fundamentals， and comfort with the techniques needed to ignore differential equations as a topic， and use them as a tool。 。。。more
Roro
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thank you
Dan
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If you never made it past Calculus III， and wondered what glories lie ahead， this is your book。。。。I won't give it a 'Rating' （at least one I'll admit to）: I'm enough of a dork already by posting a DiffEq textbook， then if i gave it 3。5 stars and declared that it was amongst my Top 10 favorite textbooks， somewhere between 'Rock Slope Stability and Analysis' and 'Principles of Mine Ventilation'。。。well。。。that would just push it over the top If you never made it past Calculus III， and wondered what glories lie ahead， this is your book。。。。I won't give it a 'Rating' （at least one I'll admit to）: I'm enough of a dork already by posting a DiffEq textbook， then if i gave it 3。5 stars and declared that it was amongst my Top 10 favorite textbooks， somewhere between 'Rock Slope Stability and Analysis' and 'Principles of Mine Ventilation'。。。well。。。that would just push it over the top 。。。more
Tiffany
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differential equations 。。。 not the most fun math i've taken， but the book does an okay job of explaining the concepts。 differential equations 。。。 not the most fun math i've taken， but the book does an okay job of explaining the concepts。 。。。more
AJ
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