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The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of form...
This book serves as an introduction to number theory at the undergraduate level, emphasizing geometric aspects of the subject. The geometric approach is exploited to explore in some depth the classical topic of quadratic forms with integer coefficients, a central topic of the book. Quadratic forms of this type in two variables have a very rich theory, developed mostly by Euler, Lagrange, Legendre, and Gauss during the period 1750–1800. In this book their approach is modernized by using the splendid visualization tool introduced by John Conway in the 1990s called the topograph of a quadratic form. Besides the intrinsic interest of quadratic forms, this theory has also served as a stepping stone for many later developments in algebra and number theory. The book is accessible to students with a basic knowledge of linear algebra and arithmetic modulo $n$. Some exposure to mathematical proofs will also be helpful. The early chapters focus on examples rather than general theorems, but theorems and their proofs play a larger role as the book progresses.
The Kenya Gazette is an official publication of the government of the Republic of Kenya. It contains notices of new legislation, notices required to be published by law or policy as well as other announcements that are published for general public information. It is published every week, usually on Friday, with occasional releases of special or supplementary editions within the week.
The Kenya Gazette is an official publication of the government of the Republic of Kenya. It contains notices of new legislation, notices required to be published by law or policy as well as other announcements that are published for general public information. It is published every week, usually on Friday, with occasional releases of special or supplementary editions within the week.
The Kenya Gazette is an official publication of the government of the Republic of Kenya. It contains notices of new legislation, notices required to be published by law or policy as well as other announcements that are published for general public information. It is published every week, usually on Friday, with occasional releases of special or supplementary editions within the week.
The Kenya Gazette is an official publication of the government of the Republic of Kenya. It contains notices of new legislation, notices required to be published by law or policy as well as other announcements that are published for general public information. It is published every week, usually on Friday, with occasional releases of special or supplementary editions within the week.
Wang Tong couldn’t wait to live his college life - girls, parties, and the dorm life - everything he had ever dreamed of. But, instead of a letter of admission to the college, he had received a ticket to the planet Norton and a contract with the Confederation as a space settler. Soon after his arrival, the Zerg overran the planet and obliterated its defenses in a matter of moments. What awaited Tong on Norton was more than just an unbearable environment - its gravity alone was five-times stronger than earth - there were also swarms of bugs, constant hunger, thirst, and desolation... Venture into the Tempest of The Battlefield, unlock the secrets within the mysterious space crystals, and meet the legendary Blade Warriors and the potent sword combat tactic: "Ultimate Tactics of the Blade: 256 Genome Nuclear Force". An honest and humble low-tier robot and a ghost with a mouth full of nonsense both teamed up with Wang Tong in a fight for survival against all odds.
Indian doctors, schooled in Western science, are ignorant of the medical ethics of their own culture. They make a conscious effort to distance themselves from Ayurvedic medicine, in which the ethical codes are enshrined.Teachers and students forget that values have universal applicability, regardless of the mode of practice - Western or traditional - and that the patient remains the same regardless of the system.Unethical practices in getting entry into medical colleges as students.