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Classical and Spatial Stochastic Processes - With Applications to Biology (Hardcover, 2nd ed. 2014)
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Classical and Spatial Stochastic Processes - With Applications to Biology (Hardcover, 2nd ed. 2014)
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The revised and expanded edition of this textbook presents the
concepts and applications of random processes with the same
illuminating simplicity as its first edition, but with the notable
addition of substantial modern material on biological modeling.
While still treating many important problems in fields such as
engineering and mathematical physics, the book also focuses on the
highly relevant topics of cancerous mutations, influenza evolution,
drug resistance, and immune response. The models used elegantly
apply various classical stochastic models presented earlier in the
text, and exercises are included throughout to reinforce essential
concepts. The second edition of Classical and Spatial Stochastic
Processes is suitable as a textbook for courses in stochastic
processes at the advanced-undergraduate and graduate levels, or as
a self-study resource for researchers and practitioners in
mathematics, engineering, physics, and mathematical biology.
Reviews of the first edition: An appetizing textbook for a first
course in stochastic processes. It guides the reader in a very
clever manner from classical ideas to some of the most interesting
modern results. ... All essential facts are presented with clear
proofs, illustrated by beautiful examples. ... The book is well
organized, has informative chapter summaries, and presents
interesting exercises. The clear proofs are concentrated at the
ends of the chapters making it easy to find the results. The style
is a good balance of mathematical rigorosity and user-friendly
explanation. -Biometric Journal This small book is well-written and
well-organized. ... Only simple results are treated ... but at the
same time many ideas needed for more complicated cases are hidden
and in fact very close. The second part is a really elementary
introduction to the area of spatial processes. ... All sections are
easily readable and it is rather tentative for the reviewer to
learn them more deeply by organizing a course based on this book.
The reader can be really surprised seeing how simple the lectures
on these complicated topics can be. At the same time such important
questions as phase transitions and their properties for some models
and the estimates for certain critical values are discussed
rigorously. ... This is indeed a first course on stochastic
processes and also a masterful introduction to some modern chapters
of the theory. -Zentralblatt Math
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