A Concise Introduction to Mathematical Logic, Third edition (Universitext)
Traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to the Stoics and to Aristotle. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, and others to create a logistic foundation for mathematics. It steadily developed during the twentieth century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy.
Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms (Mathematics Education Library)
Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.
The Origin of Speech (Studies in the Evolution of Language)
This book explores the origin and evolution of speech. The human speech system is in a league of its own in the animal kingdom and its possession dwarfs most other evolutionary achievements. During every second of speech we unconsciously use about 225 distinct muscle actions. To investigate the evolutionary origins of this prodigious ability, Peter MacNeilage draws on work in linguistics, cognitive science, evolutionary biology, and animal behaviour.
This book brings together the highly scattered and diverse global literature on pure and applied aspects of temporary waters and their biotas. It examines their roles in both natural and human environments, and seeks common evolutionary themes. It wil be of particular interest to aquatic ecologists, invertebrate and vertebrate biologists, environmental biologists, wetland conservationists, those charged with controlling water-associated diseases, educators, and natural historians.
“Differential Equations with MATLAB” (2nd ed.) is a supplemental text that can enrich and enhance any first course in ordinary differential equations. Designed to accompany Wiley’s ODE texts written by Boyce/DiPrima, Borrelli/Coleman and Lomen/Lovelock, this supplement helps instructors move towards an earlier use of numerical and geometric methods, place a greater emphasis on systems (including nonlinear ones), and increase discussions of both the benefits and possible pitfalls in numerical solution of ODEs.
