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003 IIITD
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010 _a 2019739581
020 _a9783319819013
024 7 _a10.1007/978-3-319-39502-9
_2doi
035 _a(DE-He213)978-3-319-39502-9
040 _aDLC
_beng
_epn
_erda
_cDLC
082 0 4 _a621
_bSCH-S
100 1 _aSchuster, Peter
245 1 0 _aStochasticity in processes :
_bfundamentals and applications to chemistry and biology
_cby Peter Schuster.
260 _aSwitzerland :
_bSpringer,
_c©2016
300 _axvi, 718 p. :
_bill. ;
_c23 cm.
490 _aSpringer Series in Synergetics
500 _aIt includes Bibliographical References and Index
505 0 _aProbability -- Distributions, Moments and Statistics -- Stochastic Processes -- Applications in Chemistry -- Applications in Biology -- Perspectives -- References -- Glossary -- Notation.
520 _aThis book has developed over the past fifteen years from a modern course on stochastic chemical kinetics for graduate students in physics, chemistry and biology. The first part presents a systematic collection of the mathematical background material needed to understand probability, statistics, and stochastic processes as a prerequisite for the increasingly challenging practical applications in chemistry and the life sciences examined in the second part. Recent advances in the development of new techniques and in the resolution of conventional experiments at nano-scales have been tremendous: today molecular spectroscopy can provide insights into processes down to scales at which current theories at the interface of physics, chemistry and the life sciences cannot be successful without a firm grasp of randomness and its sources. Routinely measured data is now sufficiently accurate to allow the direct recording of fluctuations. As a result, the sampling of data and the modeling of relevant processes are doomed to produce artifacts in interpretation unless the observer has a solid background in the mathematics of limited reproducibility. The material covered is presented in a modular approach, allowing more advanced sections to be skipped if the reader is primarily interested in applications. At the same time, most derivations of analytical solutions for the selected examples are provided in full length to guide more advanced readers in their attempts to derive solutions on their own. The book employs uniform notation throughout, and a glossary has been added to define the most important notions discussed.
650 0 _aStatistical physics.
650 0 _aDynamical systems.
650 0 _aChemistry, Physical and theoretical.
650 0 _aBiophysics.
650 0 _aBiological physics.
650 0 _aBiomathematics.
650 0 _aBiostatistics.
650 0 _aSystems biology.
650 1 4 _aComplex Systems.
650 2 4 _aTheoretical and Computational Chemistry.
650 2 4 _aBiological and Medical Physics, Biophysics.
650 2 4 _aMathematical and Computational Biology.
650 2 4 _aBiostatistics.
650 2 4 _aSystems Biology.
942 _2ddc
_cBK
999 _c156367
_d156367