Science Wars: What Scientists Really Know and How They Know It (24 lectures, 30 minutes/lecture mp3 + a course book -pdf) Taught by Steven L. Goldman Lehigh University Ph.D., Boston University
Professor Steven L. Goldman, whose Teaching Company course on Science in the 20th Century was praised by customers as "a scholarly achievement of the highest order" and "excellent in every way," leads you on a quest for the nature of scientific reasoning in this intellectually pathbreaking lecture series
Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications.
Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications.
Lectures on Cosmology: Accelerated Expansion of the Univers
The lectures that four authors present in this volume investigate core topics related to the accelerated expansion of the Universe. The first lecture covers the inflationary period in the very early Universe. The second lecture revolves around the accelerated expansion of the late Universe at redshifts z < 1 due to the enigmatic dark energy that is commonly interpreted as a cosmological constant.
Symplectic Geometry (London Mathematical Society Lecture Note Series)
The area of symplectic geometry has developed rapidly in the past ten years with major new discoveries that were motivated by and have provided links with many other subjects such as dynamical systems, topology, gauge theory, mathematical physics, and singularity theory. The contributions to this volume reflect the richness of the subject and include expository papers as well as original research.