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Introduction To Differential Equations, An: Stochastic Modeling, Methods And Analysis (Volume 2)
Volume 1: Deterministic Modeling, Methods and Analysis For more than half a century, stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the biological and physical sciences, as well as engineering. The advancement of knowledge in stochastic differential equations is spreading rapidly across the graduate and postgraduate programs in universities around the globe. This will be the first available book that can be used in any undergraduate/graduate stochastic modeling/applied mathematics courses and that can be used by an interdisciplinary researcher with a minimal academic background. An Introduction to Differential Equations: Volume 2 is a stochastic version of Volume 1 (“An Introduction to Differential Equations: Deterministic Modeling, Methods and Analysis”). Both books have a similar design, but naturally, differ by calculi. Again, both volumes use an innovative style in the presentation of the topics, methods and concepts with adequate preparation in deterministic Calculus. Errata Errata (32 KB)
Introduction To Differential Equations, An: Deterministic Modeling, Methods And Analysis (Volume 1)
Volume 2: Stochastic Modeling, Methods, and Analysis This is a twenty-first century book designed to meet the challenges of understanding and solving interdisciplinary problems. The book creatively incorporates “cutting-edge” research ideas and techniques at the undergraduate level. The book also is a unique research resource for undergraduate/graduate students and interdisciplinary researchers. It emphasizes and exhibits the importance of conceptual understandings and its symbiotic relationship in the problem solving process. The book is proactive in preparing for the modeling of dynamic processes in various disciplines. It introduces a “break-down-the problem” type of approach in a...
Random Differential Equations in Scientific Computing
This book is a holistic and self-contained treatment of the analysis and numerics of random differential equations from a problem-centred point of view. An interdisciplinary approach is applied by considering state-of-the-art concepts of both dynamical systems and scientific computing. The red line pervading this book is the two-fold reduction of a random partial differential equation disturbed by some external force as present in many important applications in science and engineering. First, the random partial differential equation is reduced to a set of random ordinary differential equations in the spirit of the method of lines. These are then further reduced to a family of (deterministic) ordinary differential equations. The monograph will be of benefit, not only to mathematicians, but can also be used for interdisciplinary courses in informatics and engineering.
A Choice of Emblemes
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Theory of Impulsive Differential Equations
Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.
Science and Psychology
Science and Psychology provides a comprehensive introduction to the structure and characteristics of scientific explanation, using examples from a variety of sciences to illuminate the scientific approach taken in psychology. In addition, the authors discuss a range of conceptual issues particular to psychology. They examine the concepts of free will, consciousness, and purposeful behaviour, and consider the social implications of possible future changes in our understanding of these concepts and of ourselves. The final chapters of the book provide an account of what psychology can tell us about the history and origins of science. Assuming no previous understanding of either the philosophy of science or any science other than psychology, Science and Psychology is an ideal resource for both final year undergraduates and postgraduates studying psychology. Psychologists and other scientists who wish to further their understanding of the relationship between psychology and the natural sciences may also find the contents to be of interest.
PALACE OF PLEASURE,
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Walk with Wings
Walk With Wings by Tene Edwards is a poetry collection split into five chapters: Monsoon Love, Winter Sorrow, Autumn Grace, Spring Resilient, and Summer Freedom. In short, poignant verses, Tene's poems are a compilation of reflections on her experiences, thoughts, and feelings through love, loss, pain, healing and resilience. The collection takes you through the life story of the author while offering advice, notes, and affirmations, which were written to empower the author during difficult times. Walk With Wings tells the story of Tene falling in love, making bad decisions, learning from her mistakes, and discovering how to love her life and herself.
