Subjects:  1. Childhood and youth   2. Eichelbaum, Putti   

Subjects:  1. Medical / Nursing   2. Reference   

Customer Reviews (2)

Loved It
Interesting to read a first hand account of what the war was like for the average German citizen.

In Hitler's Germany: Daily Life in the Third Reich
I have read a fair amount on Germany in WWII, and I can, with pleasure, reccommend this book to you. It gives many views of life during that period and gives a quality, overall view of German during that time period. The writing is interesting and well put together. I am personally glad to have the opportunity to have read this book. ... Read more

Subjects:  1. 1933-1945   2. Germany   3. History   4. History: World   5. National socialism   6. World War, 1939-1945   

Subjects:  1. Artificial Intelligence - General   2. Computer Bks - General Information   3. Computer Books: General   4. Computer Vision   5. Computers   6. Congresses   7. General   

Subjects:  1. Kohl, Helmut   

Customer Reviews (1)

Exploring Fractals on the Macintosh
Excellent Introduction! If you only have time or inclination enough to read one book, and want either enough information to satisfy mild curiosity or to provide a jumping off point for further exploration, this is the book to start with. An excellent work offering a brief survey of the field of chaos and fractals, almost every page offers something new and interesting to the reader, whether or not the preceeding pages have already been read. Included are a list of quotes, an analysis of the research being done on chaos in various fields, and a list of fields that the study of chaos impacts. ... Read more

Subjects:  1. Apple And Macintosh Graphics And Sound   2. Computer Bks - Apple / Macintosh   3. Computer Books: Desktop Publish   4. Computer Graphics - General   5. Data processing   6. Discrete Mathematics   7. Fractals   8. Macintosh (Computer)   9. Programming   10. Topology - Fractals   11. Computers / Operating Systems / Macintosh   

Subjects:  1. Business / Economics / Finance   2. Development - Economic Development   3. Employee participation   4. Europe   5. Industrial policy   6. International - Economics   7. Management   8. Politics/International Relations   9. United States   10. Business & Economics / Economics / International   

Subjects:  1. Civilization   2. Germany   3. History - General History   4. History Of Jews   5. Holocaust, Jewish (1939-1945)   6. Intellectual life   7. Jews   8. Jews in public life   9. Sociology   

Customer Reviews (1)

A new approach to stochastic partial differential equations
SUMMARY: This book presents a new approach to stochastic partial differential equations based on white noise analysis. The framework makes heavy use of functional analysis and its main starting point is the Wiener chaos expansion and analogous expansions on different functional spaces (Schwartz spaces).

A stochastic PDE is a PDE containing a random noise term, which may be additive or multiplicative. One of the problems when working with Stochastic PDEs is to define a notion of solution which is meaningfully extendable to the nonlinear case. Problems arises because the noise term is highly irregular: for each sample of the noise, one has a (nonlinear) PDE with a very irregular term in it. In physical terms, one may encounter "ultraviolet" divergences. So, one is first faced with an existence/ unicity problem for such equations. Additionally, one would like to describe probabilitic properties of such solutions.

The method proposed by the authors can be described as follows: first, one expands the noise term in the PDE using a Wiener chaos expansion. Truncating the expansion at a certain order n yields a "regularized" equation in which the noise is smoothened. This can be roughly described as an ultraviolet cutoff. The equation then has a unique solution in an appropriate functional space. The solution of the original SPDE is then defined as the sequence of truncated solutions. In some cases, this sequence may converge in some classical sense in an appropriate function space to a weak or strong solution defined in the usual sense. But, in general, this is not the case and the notion of solution defined by the authors may be different from classical notions.

Although the title contains the word 'modeling', it may look as the abstract definition of solution proposed by the authors may have little to do with the physical notion of solution. One feels a need for a justification why this definition of a solution is physically relevant at all, which I feel is lacking. The authors give some examples, such as the noisy Burgers equation and the Kardar-Parisi-Zhang equation, but the results predicted for the solutions seem to be different than the ones predicted for example by renormalization group analysis for example regarding the scaling exponents for KPZ. Also, it would be interesting to compare this notion of solution with more classical ones for example using the semigroup/ Green function approach.

The approach proposed bears a strong resemblance to ultraviolet regularization schemes used in renormalization group theory. In fact, this framework may be seenas a probabilistic setting for renormalization methods.Unfortunately there is little discussion of this point in the book.

The first chapters contain an interesting review of white noise expansions and chaos expansions, useful in their own interest.

Overall I recommend this book as interesting for researchers in mathematical and theoretical physics. ... Read more

Subjects:  1. Mathematics   2. Partial Differential Equations   3. Probability & Statistics - General   4. Science/Mathematics   5. Stochastic Processes   6. Stochastic partial differentia   7. Stochastic partial differential equations   

Subjects:  1. Artificial Intelligence - General   2. Computer Bks - General Information   3. Computer Books: General   4. Computer Vision   5. Computers   6. Congresses   7. General