4 comments about Polynomials (Problem Books in Mathematics).

1. I found this book many months back when it was still out of print(terribly hard to find back then, but I got it!). This book is fantastic as an introduction to the deep theory involved with polynomials. Covers things such as generating functions, quadratics, complex numbers, Cardan's method for cubics and Ferrari's and Descartes' method for quartics, elementary symmetric polys. in 2, 3, and 'n' variables, some number theory, Rings, Fields, applications of the calculus, a thorough chapter on factoring and zeros of a function, and much more including exercises and some very nice problems.
   Overall this is an outstanding book(like many of the other books in the Springer-Verlag Problem books series--though a bit pricey). Highly recommended for anyone interested in extending their knowledge beyond what is required in high school or at the university level. Students participating in competitions may also find this quite useful.



2. This book would be helpful for anyone in high school or 4th-year abstract algebra, or anywhere in between! There's hardly any text to read, I would say ~85% of the learning is done by solving the problems. Barbeau guides the reader by giving directions on how to solve them sometimes, so learning from this book is MUCH MORE interactive (I think that's the right word...) than with others where you just read. It covers complex numbers, how to solve quadratics, cubics & quartics by radicals, symmetric functions of the roots, some number theory (like congruences), numerical methods & approximating roots, factors & zeros and symmetric functions of the roots. Another good one (more advanced than this though) is by Theory of Equations by Uspensky, out of print though unfortunately.



3. This book is packed with all kinds of information on polynomials and is a great resource for both instructors and students. I don't think there is any other book that has so much information assembled between two covers - it is a gold mine and a joy to read.



4. Barbeau has really outdone himself.He shows you the ins and outs of polynomials and the real beauty of mathematics in a understandable and easy way!

5 comments about Calculus With Analytic Geometry.

1. It definitly helps one who want to master Calculus or join the Calculus competiton of any kinds.

   It better than "Calculus With Analytic Geometry, Seventh Edition" for it give you some useful appendixs and very simplify than it. It does not includ differential equation for as the author said that it is not useful when there is a full course on differential equation!!!




2. Another MIT student here... unfortunately not all calc. classes at MIT has stopped using this book. As a result the majority of our class is hopelessly lost... and this is at MIT!!!... now that's a testament to how bad the book is... Things aren't explained well, the examples have nothing to do with the actual problems, and without the "space wasting" graphics that so many other books have it's difficult to visualize what Simmons is talking about, and despite popular opinion visualizing what you are doing is very important to calculus. I'm relying on my HS calc book to get me through the course.



3. This book is perfect if you are looking for a book that has a nice balance between theory and application. Theory is presented on an as-needed basis and there is more in the appendix if the reader is so inclined. This was an excellent book for me my freshman year and it has been a good reference for me throughout my math career. It is a nice stepping stone on the way to spivak.



4. I have a big, dirty secret: I needed three tries to get through calculus. Needless to say, I went through (or at least started) three calculus books. The third of these was Simmons' first edition of the current volume. Dr. Simmons takes a historical approach to the material, following discovery after discovery. While today we define the derivative in terms of the limit, this definition (and the delta-epsilon proof machinery beneath the limit concept) came after the geometric notion of the tangent of a curve. I found it enormously helpful to know where I was going before I started. And why not? The great mathematicians that built the rigorous foundations beneath the calculus all knew where they had to end up.
   
   One other topic that Dr. Simmons enjoys is arithmetic series. This topic unfolded like a flower during its presentation. As I moved into computer science, this provided valuable background to some of the iterative methods of calculation I was exposed to.
   
   I might have a different perspective, though; George Simmons was my Calc 2 prof :-)



5. This book virtually made me love mathemathics. It's a book with an unique set of features in it's appendix, and the writing style of the author is almost like you are actually reading a great novel about calculus.

5 comments about Functional Analysis.

1. De los excelentes textos en Análisis Funcional que existen en el mercado, éste es de los mejores. Tiene una excelente presentación de la Teoría de Distribuciones, en los capítulos 6, 7 y 8. La teoría espectral como se trata aca es magnifica. Tambien tiene un desarrollo muy completo sobre espacios vectoriales topológicos. Termina con una reseña bibliográfica muy completa.



2. No other book covers the elements of distributions and the fourier transform quite like Rudin's Functional Analysis. This is a must for every budding PDE-er!



3. "Modern analysis" used to be a popular name for the subject of this lovely book. It is as important as ever, but perhaps less "modern". The subject of functional analysis, while fundamental and central in the landscape of mathematics, really started with seminal theorems due to Banach, Hilbert, von Neumann, Herglotz, Hausdorff, Friedrichs, Steinhouse,...and many other of, the perhaps less well known, founding fathers, in Central Europe (at the time), in the period between the two World Wars. In the beginning it generated awe in its ability
   to provide elegant proofs of classical theorems that otherwise were thought to be both technical and difficult. The beautiful idea that makes it all clear as daylight: Wiener's theorem on absolutely convergent(AC) Fourier series of 1/f if you can divide, and if f has the AC Fourier series, is a case in point. The new subject gained from there because of its many sucess stories,- in proving new theorems, in unifying old ones, in offering a framework for quantum theory, for dynamical systems, and for partial differential equations. And offering a language that facilitated interdisiplinary work in science! The Journal of Functional Analysis, starting in the 1960ties, broadened the subject, reaching almost all branches of science, and finding functional analytic flavor in theories surprisingly far from the original roots of the subject. The topics in Rudin's book are inspired by harmonic analysis. The later part offers one of the most elegant compact treatment of the theory of operators in Hilbert space, I can think of. Its approach to unbounded operators is lovely.



4. Hardly can I find words to highlight the goodness of this book. As mentioned by other readers ,it provides elegant, direct and powerfool proofs of the three theorems which constitute the cornserstones of functional analysis (Hanh-Banach, Banach-Steinhaus and Open mapping). These theorems are, in addition, studied in their most general context, namely topological vector spaces.
   
   Specially appealing is its treatment of distributions' theory. It is, as far as I know, the only text which start by defining the rigurous topology on the set of test functions and then obtains the convergence and continuity of functionals (distributions) in terms of this topolgy, which is, indeed, the only way to present and gain insight into these concepts and to reach some results such as completness. In doing otherwise one risk definitions can emerge as artificial and rather arbitrary.
   
   It is, without any doubt, a must have book for those with interest in pure mathematics as well as for those who, eventually, realize that the only way to dominate their area is saling through mathematics.



5. I enjoy perusing Rudin's "Functional Analysis" at this stage in my life. It is fairly nice tome for functional analysis, and its general treatment of topological vector spaces (as opposed to the standard Banach space examples studied in a typical functional analysis class) is now well-received.
   
   However, as a student, I was put off by this book. At times, I found it difficult to tie the theory present to the basic examples which were relevant at the time (such as L^{p} spaces). For a first time learner, I would suggest the book of Kolmogorov and Fomin (which is a Dover book, by the way), and would wait until later for this book.

2 comments about Louis Bachelier's Theory of Speculation: The Origins of Modern Finance.

1. This is an excellent book on the origins of computational finance. It discusses the academic beginnings in the early twentieth century. Finance is a strange subject that is hard to study because people are usually not too willing to share their discoveries- they would rather make massive profits off of them! This book discusses Bachelier's incredible thesis on several levels. He has some very interesting stochastic analysis, but more importantly he discovered a method for the valuation of options- the basis of modern finance.



2. Finally, a worthy title, a worthy edition and binding, and worthy translation of the forgotten paper that transformed the world of finance long after its genius author had passed from this mortal coil. Louis Bachelier's "The Theory of Speculation" was previously only available in French (online at NUMDAM, under Théorie de la spéculation. Annales scientifiques de l'École Normale Supérieure) and in English in the obscure 1971 book "The Random Character of the Stock Market" edited by MIT's Paul Cootner.
   
   Davis and Etheridge's commentary and background and helpful timeline are all welcome, but a thorough biography of Bachelier and his sad life remains to be written. The index is adequate for such a slender volume.

2 comments about 104 Number Theory Problems: From the Training of the USA IMO Team.

1. I think that the only way for description of this book is buying it.
   This book is as usual another gem, and this time in Number Theory, from
   great math problemists Titu Andreescu and his colleagues Dorin Andrica and Zuming Feng.
   If you would like to have fun and exciting in number theory, I highly recommend this fabulous book to you.
   
   Congratulations to Titu Andreescu and his colleagues for their excellent books and attempts!!!



2. It is a nice book. Some solution can be solved in different ways that is little simpler.

5 comments about Fast Fourier Transform and Its Applications (Prentice-Hall Signal Processing Series).

1. The book I have is ISBN 0-13-307496. It was published in 1974.

   I am very happy about this book, I first read it in 1979 when I was 19, and I found it really marvellous. I agree with the other reviewers, but I must add a note of caution - the edition I have contains some errors. They are as follows;

   p155, p157 - the factors w(11) and w(10) are incorrectly placed on the butterfly diagram 10.3 and 10.4 respectively,

   p166, p168, p169, equations 10-26 and most equations following to the end of the chapter - the factors R(N-n) and I(N-n) should be R(N-1-n) and I(N-1-n), respectively.

   I hope I'm right about this, but the convention is that the indices are from 0 to N-1, and therefore if n=0, then N-n is N - which not an allowed index.

   Apart from these sort of errors (I havn't been through the whole book with a fine toothcomb), its really very good, actually extraordinarily clear.

   One of its main benefits is that it doesn't veer away from the FFT to the very complicated developments such as fractional transforms and other developments which might confuse the sort of audience it's aimed at (which is definitely the graduates).

   But if you want to look deeply into FFTs for a real application you will need a lot more. I must mention,for instance, that the implementation of an FFT needs fairly careful error propagation and rounding analysis, and this isn't covered at all in the book. Neither are prime factor FFTs. In fact the chapter "FFT algorithms for arbirary factors" is only a method of factoring into powers of two, and certainly not the prime factor decomposition which was developed later by Winograd, Chuo, and others.

   It must also be said that while the DCT is practically a kissing cousin of the FFT, this naturally isn't covered in this text... but neither are the finite field implementations that are now taking many peoples imaginations to faster and faster FFTS.

   Also, there are jolly useful things to know about, such as the FFT when you only need a subset of the output data points. There are pruning algorithms which greatly simplify the computations.

   But it's very good as a starter, I wouldn't do without my copy!




2. I think this is one of the most understandable books in signal processing that I've ever come across. I get the feeling that Brigham had been frustrated by technical texts that were poorly written, and decided he wasn't going to commit the same sin. Plenty of carefully planned illustrations designed to help the reader start from a known place, and move step-by-step to an understanding of something new. Not just a bunch of faceless equations. I think this would be an excellent college text.
   
   Like any in-depth text dealing with a mathematically complex topic, there appear to be a number of mistakes left in to keep the reader on his/her toes. But fewer than most. I highly recommend this book, even though I'm usually a pretty tough critic. I too have been frustrated by too many poorly written books.



3. This book is not just another terse math or signal processing book. It tries to provide an alternative to standard DSP techniques that develop the FFT adequately enough, but show nothing about applications and have the student believing that "The Butterfly Element" is something he can buy an armful of at an electronics store and assemble. All developments in this book use graphical techniques and examples that insure clarity in the presentation. The book provides not only a readable introduction to the FFT but a thorough and unified reference for applying it to various fields of interest. It is great for self-study. The text is divided into five major subject areas:
   
   1. The Fourier Transform and its properties
   2. The Discrete Fourier Transform - It is developed from the continuous Fourier Transform both graphically and theoretically. Its properties are examined as are numerous waveform classes via illustrative examples. Discrete convolution and correlation are defined and compared with the continuous equivalents via examples.
   3. The FFT - The FFT algorithm is developed along with an explanation of why the FFT is efficient. Computer programs are developed that can calculate the FFT.
   4. Basic Applications of the FFT - Presents the application of the FFT to the computation of discrete and inverse discrete Fourier transforms. There is an emphasis on graphical examination of resolution and common FFT user mistakes such as aliasing, time domain truncation, noncausal time functions, and periodic functions. The applications examined include Laplace transform computation, discrete convolution and correlation, and two-dimensional Fourier transform convolution. Computer programs are provided.
   5. Signal Processing and System FFT Applications - The design and application of digital filters using the FFT are explored. A novel application of the FFT to multichannel band-pass filtering is developed in a way that can readily be expanded by the reader.
   
   I highly recommend this book to readers who want a complete explanation and investigation of the FFT and its applications that is clear enough for self-study.



4. I purchased the first edition of this book way back on January 10, 1975, when I was young design engineer, just breaking into the Digital Signal Processing business. I bought the book at the Stanford University Book store for a whopping $19.95. The receipt is still in the book.
   
   The book was considered to be a DSP industry bible back then, and in my opinion, it is still the best DFT/FFT book on the market today.
   
   Mr. Brigham seems to be very detailed oriented. He methodically progresses from one subject to the next and explains each topic in a clear and concise manner. The book is loaded with extremely detailed graphics that give the reader a very good picture of the operation, properties, and mechanics of the Discrete Fourier Transform. His mathematical derivations of various DFT/FFT properties are straight forward and can be read and understood in short order.
   
   I consider Mr. Brigham's book to be an essential engineering resource. I have relied upon, and utilized the information provided in this book for over 30 years of successful DSP design.
   
   If I ever misplace my time worn book, would I purchase it again? The answer is a definite yes. The money is well spent.



5. This book provides excellent intuition into the fourier transform, discrete fourier transform, and fast fourier transform. There are no others that provide the depth of intuition.
   
   If a reader should find it difficult, then he/she should be satisfied that the struggle is worth it and will lead to an exceptional understanding of the subject matter. All complaints are unjustified (though it might be nice if Brigham treated the Z transform as well).

2 comments about Analysis (Graduate Studies in Mathematics).

1. By the end of the sixties Dyson and Lennard, for the first time, proved that matter is stable. More precisely, they proved the thermodynamic stability of Coulomb matter. This was a landmark of mathematical physics, and a huge one: a very long and hard paper. A few years later, Elliott Lieb and Walter Thirring substantially improved the great Dyson result, dramatically cutting its length while improving important estimates. A very good review of these results can be find in the volume 4 of Thirring's "A Course in Mathematical Physics". Even the book version is a bit hard to read, as much mathematical analysis is required. The "Analysis" of Lieb and Loss is a book on analysis which has as a theme the great result of Lieb and Thirring. It is a real book on analysis. The chapters are named "Measure and Integration", "Lp-spaces","The Fourier transform", "Distributions", but also "Potential Theory and Coulomb En! ergies" and "Introduction to the Calculus of Variations", where nothing less than the Thomas-Fermi atom is rigorously studied. In order to leave no doubt that hard analysis is present, there are two chapters on Inequalities. After studying this splendid text the reader will be a better analist and, if he cares to, can start reading the proof of stability of matter. The proof of the pudding is NOT in the eating!



2. A start in analysis.-- For some number of years, Rudin's "Real and Complex", and a few other analysis books, served as the canonical choice for the book to use, and to teach from, in a first year grad analysis course. Lieb-Loss offers a refreshing alternative: It begins with a down-to-earth intro to measure theory, L^p and all that...It aims at a wide range of essential applications, such as the Fourier transform, and series, inequalities, distributions, and Sobolev spaces,--- PDE, potential theory, calculus of variations, and math physics (Schrodinger's equation, the hydrogen atom, Thomas-Fermi theory... to mention a few.) The book should work equallly well in a one, or in a two semester course. The first half of the book covers the basics, and the rest will be great for students to have, regardless of whether or not it gets to be included in a course. This choice of book is also especially agreeable to grad students in physics who need to read up on the tools of analysis.

5 comments about Numerical Analysis.

1. I examined this book as part of my constant quest for better textbooks. In this case, the course is a one-semester course in numerical analysis. I have been using "Elementary Numerical Analysis Third Edition" by Atkinson and Han and am generally pleased with the results. The first point to make is that this book has more material than I could ever cover in one semester, so from my perspective it is unsuitable. However, if you have a two semester sequence in numerical analysis, then it has enough material so that it could be used both semesters.
   There are twelve chapters:
   
   *) Mathematical preliminaries
   *) Solutions of equations in one variable
   *) Interpolation and polynomial approximation
   *) Numerical differentiation and integration
   *) Initial-value problems for ordinary differential equations
   *) Direct methods for solving linear systems
   *) Iterative techniques in matrix algebra
   *) Approximation theory
   *) Approximating eigenvalues
   *) Numerical solutions of nonlinear systems
   *) Boundary-value problems for ordinary differential equations
   *) Numerical solutions to partial differential equations
   
   with an exercise set at the end of each section and the solutions to the odd numbered problems included at the end.
   The level is more rigorous than Atkinson and Han, more of the results are first expressed in the form of theorems as opposed to the Atkinson approach of using worked examples. Once the theorem is presented, Burden then goes on to demonstrate by example. Burden uses Maple code to present the algorithms, which is generally understandable. Since the code is presented in snippets used to solve a specific problem, a lack of experience in Maple is not a serious hindrance. It is easy to infer the meaning of the Maple commands from the context.
   However, it lacks the easy readability of the Atkinson book. There were many occasions when I stopped and had to think about what I had read. It eventually made sense, but I had to think about it before it was clear. I don't have that problem with the Atkinson book. Therefore, even if we made a change to a two semester sequence in numerical analysis, I doubt if I would adopt this book.



2. There are two aspects for this topic. Would you like the deeper reason why a certain way works? Or would you like to have some impressions with a certain method and try to implement it? Not many books can balance these two aspects very well and Burden's book is more toward the latter. This can be observed that almost every method is with a pseudo code and many numerical examples are given (many are even in a step-by-step way).
   
   So if one's background is from science such as math or physics, s/he probably regards this book as a failure. For engineering students, especially undergraduates, this book seems to stay at a good balance since it doesn't get too involved.
   
   The pseudo codes are in general well written and helpful. I think it is the strength of this book. There are few books doing better in this aspect than this book. I have one impressive experience about it. Once a graduate student asked me a question and I told him Burden's book can solve his problem. He succeeded very fast and told me he even didn't know how that method works but just did programing based on the pseudo code. For education aspect, of course we don't encourage this kind of working. But for some situations, we need it.
   
   On the other hand, this book is rather elementary than advanced. And I think it is intended for undergraduates, not graduates. This book was my textbook of numerical analysis when I was a junior. It also served as a textbook when I lectured to undergraduate students during pursuing my phd degree in engineering. I will still use it as the textbook next time whenever possible.
   
   I should give it 4 stars or 4 and a half at most for this book. 5 stars are just out of viewpoint balance.



3. This book has been, unfortunately, my first introduction to numerical analysis. I wish that I could have chosen a superior book myself, but this is the one prescribed by the university I attend.
   
   The examples in this book are mostly short and insufficient, especially when they are most needed. The lack of good examples wouldn't be so much of a problem, however, if the text itself were better. Unfortunately, many topics are poorly explained. The notation used in this book is often awkward and confusing.
   
   I'm used reading math textbooks and understanding them. Unfortunately, Numerical Analysis by Burden and Faires expects the reader to understand concepts that aren't even fully explained in the text. Avoid if you can.



4. If you are studying Maths and you just want to buy a book to read before you fall asleep, then don't choose this book. You need a lot of time to read and understand this book. You will enjoy more and more when you understand every lines in this book.
   
   The problems in this book are close to what you have to know in order to pass the course. Numerical Analysis is actually more fun and interesting than other maths courses such as linear algebra, complex variables, probability (with me).
   
   In my opinion, the worst part of this book is the CD. It will not help anyone who do not know how to code. Instead of giving the straight code (simple code that you will be able to keep track in every line), the author made the code become a program and the input is hard to understand. So if you are not familiar with coding, then you will have a hard time figure out how these codes actually work.
   Actually, somehow I think the author wants to use Maple as his coding language, but in my class, we use Mathematica, so it's a little bit different in syntax.
   However, these codes cover almost all of algorithms mentioned in the book.



5. Well, I must start by saying I wasn't sure between the 3 and 4 stars.
   Definitely not 5, definitely not 2.
   
   The thing is, it's an introduction! Some say it's written from a mathematical viewpoint, but I didn't find it so much. I mean, considering it's numerical analysis! You have to understand where the approximations come from.
   
   Each chapter begins with a quite useful motivation, and each section has a set of about 20 exercises, of which the odds ones are answered. I guess you have to do the basic exercises, like 2 or 3, to really grasp what's going on, but in general every topic is explained quite well.
   
   Another 2 features, which I find excellent. The layout is very nice, does not tire you, and the text is filled with references to other books. Something like 100 other numerical analysis books and papers. This is what an introduction book is supposed to be. Gives the basics of each topic, well explained, and if you want to learn some more, or read some more proofs check the other, more specialized, references.
   
   Finally: Yes, the price is an outrage! Do not spend these dollars or euros. I worked with the seventh edition and compared it with the new one, and there's really nothing essentially better. Basically just some historical margin notes.
   
   In short. An introduction, of course, but easy to follow but still quite rigorous. You understand where things come from, oh, and there's the algorithms (not bad). But don't buy it for more than 70 dollars. Get an used one, or maybe the seventh edition. Just as good.

4 comments about Elementary Functional Analysis.

1. This is volume 2 of Shilov's Moscow University course on Mathematical Analysis. If you have read Shilov's first volume ("Elementary Real and Complex Analysis") or his volume on Linear Algebra, then you can expect more of the same clear explanation and thoughtful organization of materials. His proofs are designed to help the reader understand material and provide deep insight into the mathematics involved. Highly recommended for those who want a consise -- but very thorough -- introduction to theory behind differential equations and Fourier analysis.



2. I enjoyed the last chapters of the book, that are relative to the applications: differential geometry, Fourier series, Fourier transform, differential equations.
   Also I think that the study of the convergence of Fourier series partially based on the notion of delta-like sequences of functions is very interesting and possibly it enables some generalizations.
   However the book is not self-contained because it does very much references to 'Linear Algebra' and 'Elementary Real and Complex Analysis' of the author.



3. This book is well organized, concise, and easy to read. Overall a very good deal.



4. Elementary Functional Analysis by Georgi E. Shilov is suitable for a beginning course in functional analysis and some of its applications, e.g., to Fourier series, to harmonic analysis, to partial differential equations (PDEs), to Sobolev spaces, and it is a good supplement and complement to two other popular books in the subject, one by Rudin, and another by Edwards.
   Rudin's book is entitled "Functional Analysis" (not in the Dover series) and it is my favorite. Rudin's book is of newer vintage, and it goes more in depth, and includes new material on unbounded operators in Hilbert space. Edwards' book "Functional Analysis: Theory and Applications;" is in the Dover series, and it is twice as thick as Shilov's book.
   Topics covered in Shilov: Function spaces, L^p-spaces, Hilbert spaces, and linear operators; the standard Banach, and Hahn-Banach theorems. It includes many exercises and examples. Well motivated with applications.
   Book Comparison:
   Shilov book is gentler on students, and it is probably easier to get started with: It stresses motivation a bit more, the exercises are easier, and finally Shilov includes a few applications; fashionable these days. And of course, the books in the Dover series are cheap in comparison. Review by Palle Jorgensen, August 2007.

4 comments about Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics).

1. This book provides a nice introduction to the mathematics behind finite-volume methods. After reading through the first half of the book on scalar conservation laws and systems, papers in JCP no longer seem as intimidating. The book is laid out very well, and the notation is consistent throughout. It is the best of the bunch when compared to Toro's Riemann problem book and Laney's Computational Gasdynamics text.



2. This book starts from simple things and moves to pretty complicated staff graciously. It is useful even as an introduction to the hyperbolic equations. Finally, this is the only book I use at most every day. This is the book I would strongly recommend to all students who study this field and to researchers. It has a very good and comprehensive reference.

   The author develop even the software (unfortunately, this is FORTRAN, not C). The source is available and well discussed in the book (there is a whole chapter). I did not use it but found this is a very good practice. It should be useful for student also.

   Many things are really nice. For example, the book gives a very good view of the nature of oscillations in high order schemes, not only formulas. And so on...

   However, there are few things I was not satisfied.

   1. There are no comprehensive discussion about non-uniform and non-rectangular grids. It is not good, for example, for people who works in spherical coordinates (for example in some brunches of geophysics).

   2. There is no information about FCT methods that are still very popular because they give a very straightforward way to use 4th and higher order methods. However, there is a reference to the Oran and Boris book, for instance.

   3. It is sometimes really pure mathematical description especially for non-linear equations. It was really inconvenient for me. Fortunately, good reference helped.

   There are more things were bothered. However, this is personal. The author works with the advection equation a lot, but does not like to discuss more the conservation form of continuity equation which I would prefer. In spite of author's efforts, I think still that the wave propagation method is not so convenient as flux method even for non-conservative equations. But it depends.

   Finally, this book is definitely fine and, I think, it is the best among all books in this field (maybe except the Hirsch book which is "Numerical computation of internal and external flows" 1988). I would highly recommend it to buy.




3. The author gave almost all the basic knowledge related to hyperbolic equation, at least from the engineering point of view. I read it myself without any help. It's not hard to understand. Moreover, it gives all you need at beginning references.



4. I'm a Ph.D. student in CFD. I find this book very well written and quite thorough. I recommend it 100% to anyone who wants to get a good insight on FV methods for Hyperbolic problems. However, I need to say that I would expect to find practical guidelines and some information about the application of the FVM on unstructured meshes. But, in time the reader will realise that it is not difficult to work on unstructured meshes on his/her own, following the material covered throughout the book. I strongly recommend it.