The first volume in this ground-breaking series focuses on the origins and early development of numerical cognition in non-human primates, lower vertebrates, human infants, and preschool children. The text will help readers understand the nature and complexity of these foundatio…
"The first volume in this ground-breaking series focuses on the origins and early development of numerical cognition in non-human primates, lower vertebrates, human infants, and preschool children. The text will help readers understand the nature and complexity of these foundati…
Who was Nicolas Rashevsky? To answer that question, this book draws on Rashevsky's unexplored personal archival papers and shares interviews with his family, students and friends, as well as discussions with biologists and mathematical biologists, to flesh out and complete the p…
Neural interfaces are one of the most exciting emerging technologies to impact bioengineering and neuroscience because they enable an alternate communication channel linking directly the nervous system with man-made devices. This book reveals the essential engineering principles…
In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin's principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality,…
"The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and …
Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in t…
Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in t…
Forces created by the proliferation of computer hardware and software, by innovative methods of mathematical modelling and applications, by broader demographic considerations, and by schools themselves are profoundly changing the way mathematics is practiced, the way mathematics…
<!Doctype html public ""-//w3c//dtd html 4.0 transitional//en""> <html><head> <meta http-equiv=content-type content=""text/html; charset=iso-8859-1""> <meta content=""mshtml 6.00.6000.21371"" name=generator></head> <body> <P>For bioinformaticians, computational biologists, and w…
Respiratory care equations are some of the most useful tools available to the practicing Respiratory Therapist and respiratory care students. Not only do the equations provide answers to clinical questions, they help practitioners learn variables in an equation and how those var…
Respiratory care equations are some of the most useful tools available to the practicing Respiratory Therapist and respiratory care students. Not only do the equations provide answers to clinical questions, they help practitioners learn variables in an equation and how those var…
The nature of qualitative inquiry means that researchers constantly have to deal with the unexpected, and all too often this means coping with the presence of danger or risk. This innovative and lively analysis of danger in various qualitative research settings is drawn from res…
This work is intended to¡provide a concise introduction to the spectral theory of Hilbert space operators. With an emphasis on detailed proofs and¡recent aspects of theory, it¡can serve as¡a modern textbook for a first graduate course in the subject.¡The coverage of topics is th…
Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalisms, including compositional Markovian models, hierarchical Markovian models, and stochastic process algebras. The motivation behind using a Kronecker structured representation rath…
Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a?naïve? treatment exists for dealing with such …
Solving differential equations in R
by Soetaert, Karline, Cash, J. R., Mazzia, Francesca
fromUse R!
Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large varie…