This book shows cognitive scientists in training how mathematics, computer science and science can be usefully and seamlessly intertwined. It is a follow-up to the first two volumes on mathematics for cognitive scientists, and includes the mathematics and computational tools needed to understand how to compute the terms in the Fourier series expansions that solve the cable equation. The latter …
Thermodynamics and Chemistry is designed primarily as a textbook for a one-semester course in classical chemical thermodynamics at the graduate or undergraduate level. It can also serve as a supplementary text and thermodynamics reference source.
Given the fact that there are perhaps 400 billion stars in our Galaxy alone, and perhaps 400 billion galaxies in the Universe, it stands to reason that somewhere out there, in the 14-billion-year-old cosmos, there is or once was a civilization at least as advanced as our own. The sheer enormity of the numbers almost demands that we accept the truth of this hypothesis. Why, then, have we encount…
This book is a product of years of research on saffron biology. It intends to give a broad but concise overview of the various aspects of apocarotenoid biosynthesis in Crocus sativus, its regulation and pharmacology . Crocus sativus L. of family Iridaceae is an important medicinal plant. The dried stigma of C. sativus flower is considered as the world's costliest spice. Saffron is the source…
This book focuses on the importance of human antimicrobial peptides (AMP) in keeping the host healthy and preventing infectious diseases. The first chapters deal with several examples of the role of AMP in different epithelial organs (skin and wound healing, eye, lung, genito-urinary tract, gut), which are exposed to different kinds of infectious microorganisms and as a result produce different…
This book provides a self-study program on how mathematics, computer science and science can be usefully and seamlessly intertwined. Learning to use ideas from mathematics and computation is essential for understanding approaches to cognitive and biological science. As such the book covers calculus on one variable and two variables and works through a number of interesting first-order ODE model…
The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, an…
This book, intended as a practical working guide for calculus students, includes 450 exercises. It is designed for undergraduate students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, and will greatly benefit anyone seeking a problem-solving approach to calculus. Each chapter starts with a summary of the main definitions and results, which is follow…
This book explores dental stem cell (DSC) biology, from a review of basic concepts for cell culture, to isolation, self-renewal, multipotency and differentiation, regulation by molecular medicine, and prospective research areas for regenerative medicine. The first seven chapters delve into basic DSC properties, vital signaling pathways involved in differentiation, pluripotency, iPS cell develop…
In this volume, different aspects of logics for dependence and independence are discussed, including both the logical and computational aspects of dependence logic, and also applications in a number of areas, such as statistics, social choice theory, databases, and computer security. The contributing authors represent leading experts in this relatively new field, each of whom was invited to wri…