An Introduction to Partial Differential Equations 1st Edition by Yehuda Pinchover (PDF)

Description

A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green’s functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students whilst extended solution sets are available to lecturers from solutions@cambridge.org.

User’s Reviews

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

⭐I used this text as a supplement for a first year graduate course in Partial Differential Equations (required text was

⭐). This text is definitely aimed towards those interested in applications of PDEs rather than the pure math. It was much clearer on the general steps to solve a problem rather than proof based. While I do have an undergraduate degree in Mathematics, I am a geophysics graduate student, so I really appreciated that.

⭐A high quality textbook in PDE with engineering examples.

⭐this book assumes quite a bit of background knowledge and isn’t very helpful. there are some decent exercises, but overall I always dreaded opening this book.

⭐Everything is Ok!

⭐*** This review is for the formatting of the ebook, not for the content of the book itself ***DO NOT BUY THE EBOOK VERSION OF THIS BOOKThe Kindle ebook version of this book that I just purchased is complete garbage. Speaking as somebody who has better than 20/20 vision, the equations (the most important parts, obviously) are displayed so small that the only way to read them is to make the font size so large that only two or three words will fit on a line. I tried on both my ipad and laptop apps, and the issue is the same on both. This makes the book almost entirely useless.I am severely disappointed in the quality control leading to this version’s availability. Did anybody even look at this before publishing it and selling it for $50? A momentary glance would have made this glaring problem unignorably obvious. Thanks to the publishers and/or Amazon for wasting my time. Hopefully I can at least get a refund.

⭐Let’s be clear – the seller was great. The book itself was misery.

⭐This book will give physicists and engineers a working knowledge of partial differential equations, which permeate their fields but whose underlying mathematics too many students just still ignore. That text is written very fluently and theorems and proofs appear only when the concepts and methods at stakes have been carefully presented through many examples. I generally prefer the top-to-bottom approach but it appeared that the one used in this book works quite well if you want to become more familiar with PDEs but don’t necessarily want to be an expert on this field.

⭐We used this book for a PDE class and I really didn’t enjoy it. I hated the organization of the material and just wasn’t too fond of how the author presented the material. I found it confusing and difficult as well.

⭐introductionThe paper on which its printed is of good quality and is well bound. This book explores introductory P.D.E in a brilliantly organised and progressive manner. Its target audience is undergraduate second year engineering, sciences and first year plus mathematical students.How its organisedThese equations are mainly first and second orders P. D. E. The topics include usage of the classic three linear Physics P.D.E, generalisations of solutions using separation – of variables, generalisation applying superposition methods by application of infinite series of generalised Fourier – based eigenfunction and values. Its explained in a manner that a lot of the really deep revealing information is left for another time.The classes and type of P.D.E. explored in this book are hyperbolic e.g. wave equation ), parabolic e.g. the heat equation and elliptic e.g. the Laplace forms of P.D.E. If your not clear how, its related to the value of Lambda in a routine testing equation. A great feature is these qualities are explored from changing angles and give a lot of understanding as you progress through. Later on, a major portion of the book is dealt by applying ‘Greens Theorem’. and touching on using cylindrical and spherical techniques.features I likedAn inspiring method is an explanation of the undersea cable equation by William Thompson in 1850. This is an challenging exploration of the usefulness of such skills using P.D.E. Another would be a study of the Seebeck effect, using these features. The way it holds – your – hand showing how each basic class operate is really clearly done and its fantastic. If you have felt bemused by other students applying these weird and unseen methodology and this is a revelation for you! There are also answers in the back of the book to some of the questions.SummaryThis book is well explained. Each of the two authors allow a persistent student to gain in both their skills & in confidence. Over the several weeks I have read this book – in my opinion – this is both money and time well spent.P.S (In direct comparison with the book , ‘Partial Differential Equations of Scientists and Engineers’ (Dover) i have read, then the book ‘An Introduction to Partial Differential Equations’ has a stricter mathematical level to its explanations.

⭐It was the main reference of a PDE course I took at IITB. Pinchover is a big shot in the area of PDEs. The book is well written, to the point, and explains things very nicely. The treatment is classical mostly, with a hint of modern tools based on functional analysis. There’s plenty of nice exercises to try out, and the solutions are available on the author’s webpage.

⭐Good book

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