Partial

Wow. At age 41, I didn't think I could really ever read any new book that would blow my mind when it came to the gospel. I thought I pretty much "had it down." It was so very interesting to note, through reading this book, how "Westernized" and self-reliant my pious life was -- and how perfectly freeing it is to live from the perspective of "Christ in me, the hope of glory." I've purchased (thus far) 25 copies of this book and have given each away. Stone uses vivid imagery (e.g., "the line," "the swing," and others) to remind us (and teach us anew) of the original, beautiful gospel that we've sadly muddied with our collective sets of rules, regulations and "how to" books. How fabulous it is to toss them away. I no longer approach God on the basis of my flesh's track record. Woo hoo!

One amazing word: union. At times, believers may think they are living life on their own and gaining "help" from God when the going gets rough. Life doesn't have to be like that!!!! When someone is in union with something else, your life is not separate. It is together, it is "one." If you are a child of God, you are "one" with God. I needed to hear that and this book was used instrumentally in revealing that truth. I trust God will lead you to read this as well.

This is a must read for every Christian. The book is easy to read and will open your eyes and heart to the truth of the whole gospel. We are "more than conquerors" and who we believe we are in Christ makes a difference in our walk and relationship with God and others. I can't possibly express the value of the content of the book.

Though this book cannot be compared to Whittaker and Watson's classic book. It comes quite close to it. I just want to comment on the the area covers are too concentrated and the rigorous manner which is the hall mark of " Modern Analysis " is lacking. Anyway, this book deserves 5 stars.

It has a very good style of writing for the nature of mathematics. It is clean, no unnecessary explanation or examples. In a way, one can feel something similar to Axler's. It is an excellent reference book. One should keep this book just as Axler's Linear Algebra Done Right, Numerical Recipe, DE Knuth's Art of Programming.

Professor Roy et al have made Special Functions clearer to me in this comprehensive volume than any previous authors I have read.

I was confused with so many books on PDEs and found this book God sent.If you ask me buy this book if you are looking for a serious book on PDEs with lucid explanations and problem solving techniques this is the book. Though the answers for the problems aren't given, you will love doing problems, I studied this book for my PhD quals.Enjoy it, savor it.

This is an excellent introduction to Fourier series and its
applications to boundary value problems. It has a very good combination of history, theory,and exercises. In particular,
the book is an ideal text for math students who are taking
their first PDE course and do not have enough backgound in physics. The only problem with this book is its high price.

This book is very complete and comprehensive. It is meant for the advanced undergraduate (and even graduate) student. The book states it assumes you know the 1st year of calculus and how to solve some ordinary differential equations. It would help if you took one more upper division math class, as to be familiar with the proofs.

In a nutshell, this book is great! I used it to study for my PhD Quals in physics. It has a nice portion on Green's functions. The book is 'mathematical' but the backdrop on the topics are based on physical problems. The historical notes are great, and act as a complement to the physical problems (I'm not a big fan of history in textbooks, but this book does a nice job of integrating it).

Lots of problems are given, though no solutions are given for any of them. It would be a nice compliment to at least show the start, a tid bit in the middle, and then the solution. The solution at the very least. There are other books that do provide solutions to the types of problems listed here, but it would be nice just to carry around this one when learning boundary value problems.

A must for anyone that works on any problems that have ODEs, PDEs, Fourier and Laplace transforms, Boundary Value Problems and Green's Functions. You won't be disappointed!

Must read for those who are dealing with hyperbolic or nearly-hyperbolic systems.
Based on mesh based methods so the numerical model obtained can be used for control and optimization purpose easily.( that is my feeling)

Readable, concise discussion, plenty of examples

It is so nice book for understanding numerical methods and so clear explanations.

When searching through libraries for information on epilepsy, I've always been able to find a lot of information on generalized seizures and little to no information on partial seizures. There is usually only a paragraph or two on them in books that primarily address other kinds of epilepsy. After repeatedly coming across the same information -- information I already knew -- I was getting tired of looking. Then I found this book, which is the exact opposite -- it is almost entirely about partial seizures, with a few paragraphs at the beginning about generalized seizures.

There need to be more books like this. It lives up to the same high standards as the computer guides by the same publisher. It presents information in a clear, easy-to-read way without dumbing it down or omitting crucial details.

The different kinds of seizures are described, and background information is provided about the functions of different parts of the brain. Causes of seizures, from seizure disorders to environmental factors, are discussed, along with speculative theories about 'kindling'. The connections with migraines are explored. There is a large section on medications, with detailed and important information about each one. I learned in that section that a newer version of a medication I currently take is under development, with fewer side-effects. While I am currently free of the more annoying side-effects, that is information I might want in the future. There is also a section on alternative treatments.

The book does not stop at this technical information, though. It also contains a lot of practical advice. There is an entire section on how to communicate with your doctor about getting a diagnosis and treatment, with a number of useful tips. There are quotes throughout the book from people with epilepsy, detailing both the experience of having seizures and the social experience of dealing with stigma and discrimination. It talks about people who go undiagnosed or misdiagnosed for a long time, and several dimensions of the emotional effects of having seizures. These were some of the most valuable parts of the book for me. Besides descriptions of the social and emotional aspects of having epilepsy, strategies and solutions are provided. There are sections on both work and school, as well as alternate sources of income for people unable to work. The author makes an effort to include information relevant to as many countries as possible.

I have never seen this much information on partial seizures in one place before. I would like to see books like this for all kinds of seizures, partial and generalized, rare and common. Too often the unusual (or not-talked-about) kinds of seizures fall by the wayside in discussions of the more stereotypical tonic-clonic and absence seizures. This book not only fills a needed gap in epilepsy literature, but it does so in a readable and accessible style, so you don't need to be a neurologist to decipher it. It is definitely a useful resource for me as a person with this kind of seizures, and it looks like it would be equally useful to parents and family. This will stay on my shelf as a valuable reference.

Anyone whose life is significantly impacted by partial seizures, whether directly or indirectly, should own this book. This is the only book that I have come across that specifically addresses partial seizures (simple and complex), and as such it is tremendously valuable to parents, friends, family members, and people who have Epilpesy themselves. It seems that books on Epilepsy are either very cheap (and broad and shallow in scope) or extremely expensive (and bordering on encyclopedic), but this book falls nicely in the middle. It weighs in at a reasonable price and provides a wealth of information that an interested person might otherwise only find by sifting through a large volume.

I have read this book twice and I was still learning as I read it the second time. It includes lots of personal accounts, both by people who have seizures and caregivers (mostly parents of children with seizures). I think that these varied accounts provide a great deal of insight, particularly for those who don't themselves have seizures but must face its issues. The book includes lots of resources in terms of books, addresses, websites, and organizations, and also includes a good section on insurance issues. If your life is affected by partial seizures, you should have this book.

The information in this book surpassed any expectation I had. What a helpful resource this book is. It explains what seizures are, clearly, for the nonscientist, and then goes on to explain how a diagnosis is arived at. The book continues with advice on living with a partial seizure disorder, dealing with school, jobs, etc., and what kinds of treatments (medical and less traditional) there are available. There is not a wasted page in this book. All of the information is valuable and helpful. If you need a book to help you understand partial seizure disorders, this book will satisfy most every need.

This book is a wonderful addition to any dentist or dental student. It covers all aspects of crown and bridge work including other aspects of dentistry such as periodontal considerations in wonderful but yet simple detail. Wonderful illustrations, convenient summaries at the end of every chapter, and very VERY useful.
A MUST buy.

As soon as I read this book, I could find the power of this book. As a man who will be a dentist in future, if not reading this book, we will not treat a patient. this book contain a various views including biology, mechanics, technics, esthenics and medicine. If you can this book, you will Save many patient so comfortablly. good luck for your future!

After reading some chapters, I found a very complete guide for the new generation of dentists. It has the techniques that really work with the patients and in the lab. The procedures are clear with sharp definitions.

Dirac operators on Riemannian manifolds are of fundamental importance in differential geometry: they occur in situations such as Hodge theory, gauge theory, and geometric quantization.

The book is based on a simple principle: Dirac operators are a quantization of the theory of connections, and the supertrace of the heat kernel of the square of a Dirac operator is the quantization of the Chern character of the corresponding connection. From this point of view, the index theorem for Dirac operators is a statement about the relationship between the heat kernel of the square of a Dirac operator and the Chern character of the associated connection. This relationship holds at the level of differential forms and not just in cohomology, and leads to think of index theory and heat kernels as a quantization of Chern-Weil theory. The importance of the heat kernel is that it interpolates between the identity operator and the projection onto the kernel of the Dirac operator. However, the authors study the heat kernel, and more particularly its restriction to the diagonal, in its own right, and not only as a tool in understanding the kernel of the Dirac operator.

The authors attempt to express allof their constructions in such a way that they generalize easily to the equivariant setting, in which a compact Lie group acts on the manifold and leaves the Dirac operator invariant. They consider the most general type of Dirac operators, associated to a Clifford module over a manifold, to avoid restricting to manifolds with spin connections. They also work within Quillen's theory of superconnections.

The book is not necessarily meant to be read sequentially, and consists of four groups of chapters: (1) Chapters 1 and 7, the former giving various preliminary results in differential geometry and the latter on equivariant differential forms; they do not depend on any other chapters. (2) Chapters 2, 3, and 4 introduce the main ideas of the book, and take the reader through the main properties of Dirac operators, culminating in the local index theorem. (3) Chapters 5, 6, and 8 are on the equivariant index theorem, and may be read after the first four chapters, although Chapter 7 is needed in Chapter 8. (4) Chapters 9 and 10 are on the family index theorem, and can be read after the first four chapters, except sections 9.4 and 10.7 which have Chapter 8 as a prerequisite.

The book is intended for researchers and advanced graduate students; you need a very strong background in differntial geometry, algebraic topology, harmonic analysis, and hypercomplex analysis to read it. The style is definitely French, so if you have had trouble with Bourbaki be prepared. The list of references is adequately long. Very nice printing and binding quality.

This monograph treats the modern theory of the heat equation on manifolds, with special emphasis on recent work related to the Atiyah-Singer index theorem, and in particular Bismut's contributions. Much of this work has been concerned with finding explicit differential-form representatives of the cohomology classes that arise in the index formula and its generalizations.

The authors have completely eliminated the probability theory that figures so notoriously in Bismut's papers, replacing it by the more classical asymptotic expansions. (However, I must say that my study of Bismut's papers goaded me into learning the probability theory, and I'm glad I did; for apart from being interesting in itself, it also proved very useful in my thesis). Moreover, they have also managed to eliminate almost all of the analysis. What remains is a fair amount of differential geometry and a great deal of algebra.

In those parts of the book that are written very concisely, readers will have trouble supplying full details. An example is Sec. 1.6 on the Euler and Thom classes; even my thesis adviser did not understand the algebra of differential forms, which becomes confusing given all the various pullback bundles; here understanding the algebra in Lemma 1.51 is the crux of the matter. Another example of extreme conciseness is Sec. 3.6, which sketches the standard Clifford modules in the important cases -- De Rham, signature, spin, Kahler. In general, just enough information is provided to enable a well-motivated graduate student to fill in the details and/or acquire the necessary background. Doing this took me the better part of two years.

On the other hand, the parts of the book dealing directly with heat kernels are written less concisely and are therefore more readable. The book gives a nice construction of the heat kernel for generalized Laplacians (Thm. 2.30) in Chap. 2, which is devoted to the asymptotic expansion of the heat kernel, essentially following Hadamard's classical approach; however the treatment is highly algebraic. Chapter 6, based on work of Berline and Vergne, re-covers much of the same ground from the viewpoint of equivariant vector bundles; it has a more overtly differential-geometric flavor. Chapters 9 and 10 on the index bundle and Bismut's version of the index theorem for families are again quite readable and again highly algebraic.

Seeley's work on pseudodifferential operators, which played such an important role in the original proof of the Atiyah-Singer index theorem, of course has its counterpart here in the asymptotic expansion, but the treatment makes it seems rather innocuous if not quite trivial. In general, the lack of "hard analysis" in the book is striking. Except for a cameo appearance in the short Chap. 7 on equivariant differential forms, Fourier analysis, for example, plays no role.

Researchers already active in the field will probably benefit the most from this book, but fun-loving grad students can also profit from it.

The book is devoted to the investigation of Dirac operators , in particular to explaining the relation of the Atiyah-Singer formula for their index with the heat kernel expansion. Dirac operators on Riemannian manifolds were introduced by Lichnerowicz, Atiyah and Singer. Most first order linear differential operators of geometric origin are Dirac operators. The main technique in the book is an explicit construction of the kernel of the heat operator $e\sp{-tD\sp 2}$ associated to the square of the Dirac operator $D$. Note that in the proofs of many theorems due to J. M. Bismut, the original use of probability theory is replaced by the applications of classical asymptotic expansion methods. List of Chapters: Introduction, 1. Background on Differential Geometry, 2. Asymptotic Expansion of Heat Kernel, 3. Clifford Modules and Dirac Operators, 4. Index Density of Dirac Operators, 5. The Exponential Map and the Index Density, 6. The Equivariant Index Theorem, 7. Equivariant Differential Forms, 8. The Kirillov Formula for the Equivariant Index, 9. The Index Bundle, 10.The Family Index Theorem.

An Introduction to Partial Differential Equations by Renardy and Rogers is a very well written introduction to the huge and important area of PDEs. It covers both the classical and modern PDE theory on, compared with other expositions, a relatively low number of pages. Nevertheless, Renardy and Rogers succeed in introducing the most important concepts and explaining their interrelations, so that alltogether, the book provides the reader with the background necessary for diving safely into the more advanced literature on the subject.

It was a pleasure for me to read the book, and after nearly four years of work in PDEs, it is still my reference of choice. I would highly recommend it for students of mathematics and for mathematically inclined engineering students.

This book is the best book on advanced partial differential equations i know. It is almost self contained. Every definition is motivated. Examples are given. Buy it and enjoy

I found what I was looking for in this book to know enough about this huge theory of Partial Differential Equations. Contents of each chapter is clearly developed and no essential point is missed. If you are someone who seriously wants to learn more and apply PDE theory in your research, this book is worth picking. Although the title alludes to an introductory book bearing a simple approach, this book is far more than an introduction, and I would say some little background in PDE's would help.

This book is extraordinary if I do say so myself! Cary Henderson is my grandfather. He was diagnosed with AD soon after I was born. I have no memory of him not having it. It has gotten so bad no that a I feel like he is living, but not really here all the way. He is holding on, though. The pictures taken by Nancy Andrews are artistic and creative-wonderfully displayed. My grandma and aunt have put so much work and time in this book and it has really paid off. I am proud of them and think it's great that people can put themselves in someone's shoes that has AD. This book is interesting and will keep your attention until it's over. I reccomend this book to anyone.

This book gave me some small insight into what my grandmother, who has alzheimers, must be going through. From the description of why he's afraid of the dark to the small joys of daily life and unquestioning company of his dog, Smith-Henderson has given a treasure to those of us baffled by this disease. My aunt is now using the book for a project in medical school, and I am encouraging my family to read it, so they might also have an idea of what people with alzheimer's face daily.

I have worked in nursing homes with Alzheimer's patients and received excellent staff training in relating to these people. But nothing equals the insights into the feelings so powerfully shared by Mr. Henderson. I'm giving it to a friend whose spouse has just been diagnosed and will recommend it to professionals still in the caregiving field.

I found this book on a coffee table at a lodge in a remote part of WA state. I'm ashamed to say, I enjoyed it so much I snitched it and took it home with me. This is a fascinating book about a brave woman. She is so familiar in her writing, I felt like I knew her personally and had to find out what happened to her family! Good Read!

As the adopted granddaughter of Emily Hahn and a co-founder of Bastard Nation, I was especially moved by reading my grandmother's brave, amusing and thought-provoking account of keeping her out-of-wedlock child (my mother, Carola).

I am writing to notify all readers that Ms. Hahn passed away in February 1997. She is survived by her daughters, Carola Vecchio and Amanda Boxer, and her husband, Charles Ralph Boxer