Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some preparation in linear algebra. In writing this book I have been guided by the these principles: …
In molecular biology, DNA replication is the biological process of producing two identical replicas of DNA from one original DNA molecule. This process occurs in all living organisms and is the basis for biological inheritance. DNA is made up of a double helix of two complementary strands. During replication, these strands are separated. Each strand of the original DNA molecule then serves as a…
Summary – the theory of plate tectonics had enabled us to explain the origin of earthquakes, volcanoes, mountain building and has told us the fascinating history of the earth. To find out the evidence for all this watch “Wegener and the proof of continental drift.” Tags: digital learning, online learning, learn chemistry, school chemistry, chemistry, gcse chemistry, high school chemistry…
Two fixed bed reactors for nitrification with either polyethylene/clay sinter lamellas (FBR A) or porous ceramic rings (FBR B) were continously run for treating synthetic saline wastewater. Seawater from Hafen Büsum was used as an inoculums. The performance of the system was evaluated under different operating conditions. A better overall nitrification without nitrite accumulation was observed…
What are the causes and consequences of species diversity in forested ecosystems, and how is this species diversity being affected by rapid environmental and climatic change, movement of invertebrate and vertebrate herbivores into new biogeographic regions, and expanding human populations and associated shifts in land-use patterns? In this Special Issue of Forests, we explore these questions fo…
In Platonic Occasions, Richard Begam and James Soderholm reflect upon a wide range of thinkers, writers and ideas from Plato, Descartes and Nietzsche to Shakespeare, the Romantics and the Moderns—from Evil, Love and Death to Art, Memory and Mimesis. The dialogues suggest that Percy Shelley was right when he claimed “We are all Greeks,” and yet what have we learned about the initiatives of…
Elementary Differential Equations by William F. Trench Andrew G. Cowles Distinguished Professor Emeritus, Department of Mathematics, Trinity University, San Antonio, Texas, USA,Previously published by Brooks/Cole Thomson Learning, 2000. This book has been judged to meet the evaluation criteria set by the Editorial Board of the American Institute of Mathematics in connection with the Institute…
This book originated from my class notes for teaching Math 286 at the University of Illinois at Urbana-Champaign in Fall 2008 and Spring 2009. It is a first course on differential equations for engineers. I also taught Math 285 at UIUC and Math 20D at UCSD using this book. The standard book at UIUC was Edwards and Penney, Differential Equations and Boundary Value Problems: Computing and Model…
This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course. The book is designed to fill the gaps left in th…
This collection resulted from an international workshop funded and organised by Biosecurity Australia, the agency of government responsible for analysing Australia's quarantine import risks and for negotiating multilateral SPS rules and less restrictive access to overseas markets for Australian produce. The workshop, which was held at the Melbourne Business School on 24-25 October 2000, brough…