It takes the average reader 5 hours and 40 minutes to read Special Matrices of Mathematical Physics by R Aldrovandi
Assuming a reading speed of 250 words per minute. Learn more
This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings. Contents:Basics:Some Fundamental NotionsStochastic Matrices:Evolving SystemsMarkov ChainsGlass TransitionThe Kerner ModelFormal DevelopmentsEquilibrium, Dissipation and ErgodicityCirculant Matrices:PreludeDefinition and Main PropertiesDiscrete Quantum MechanicsQuantum Symplectic StructureBell Matrices:An Organizing ToolBell PolynomialsDeterminants and TracesProjectors and IteratesGases: Real and Ideal Readership: Mathematical physicists, statistical physicists and researchers in the field of combinatorics and graph theory. Keywords:Stochastic Processes;Markov Chains;Glasses;Circulants;Discrete Fourier;Quantization;Bell Polynomials;Phase Space;Map Iteration;Real GasesReviews:“Its user-friendly character is achieved via a hierarchy of abstracts, step-by-step explanations and pre-processing summaries. All this makes the book easily accessible precisely to its target group of readers.”Mathematics Abstracts “This book confirms that the study of different types of matrices, which have deep physics connections, is a fruitful exercise … it is strongly recommended to scientists interested in modern developments in applications of matrices in physics.”Mathematical Reviews
Special Matrices of Mathematical Physics by R Aldrovandi is 340 pages long, and a total of 85,000 words.
This makes it 115% the length of the average book. It also has 104% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 44 minutes to read Special Matrices of Mathematical Physics aloud.
Special Matrices of Mathematical Physics is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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