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All too often, through common school mathematics, students find themselves excelling in school math classes by memorizing formulas, but not their applications or the motivation behind them. As a consequence, understanding derived in this manner is tragically based on little or no proof. This is why studying proofs is paramount! Proofs help us understand the nature of mathematics and show us the key to appreciating its elegance. But even getting past the concern of "why should this be true?" students often face the question of "when will I ever need this in life?" Proofs in Competition Math aims to remedy these issues at a wide range of levels, from the fundamentals of competition math all the way to the Olympiad level and beyond. Don't worry if you don't know all of the math in this book; there will be prerequisites for each skill level, giving you a better idea of your current strengths and weaknesses and allowing you to set realistic goals as a math student. So, mathematical minds, we set you off!
All too often, through common school mathematics, students find themselves excelling in school math classes by memorizing formulas, but not their applications or the motivation behind them. As a consequence, understanding derived in this manner is tragically based on little or no proof.This is why studying proofs is paramount! Proofs help us understand the nature of mathematics and show us the key to appreciating its elegance.But even getting past the concern of "why should this be true?" students often face the question of "when will I ever need this in life?" Proofs in Competition Math aims to remedy these issues at a wide range of levels, from the fundamentals of competition math all the way to the Olympiad level and beyond.Don't worry if you don't know all of the math in this book; there will be prerequisites for each skill level, giving you a better idea of your current strengths and weaknesses and allowing you to set realistic goals as a math student. So, mathematical minds, we set you off!
Now you can clearly present even the most complex computational theory topics to your students with Sipser’s distinct, market-leading INTRODUCTION TO THE THEORY OF COMPUTATION, 3E. The number one choice for today’s computational theory course, this highly anticipated revision retains the unmatched clarity and thorough coverage that make it a leading text for upper-level undergraduate and introductory graduate students. This edition continues author Michael Sipser’s well-known, approachable style with timely revisions, additional exercises, and more memorable examples in key areas. A new first-of-its-kind theoretical treatment of deterministic context-free languages is ideal for a bette...
Here is a constructive alternative to modern education. The author stresses spiritual values and helping children grow toward full maturity learning not only facts, but also innovative principles for better living. This book is the basis for the Living Wisdom schools and the Education for LifeFoundation, which trains teachers, parents and educators. Encouraging parents and educators to see children through their soul qualities, this unique system promises to be a much needed breath of fresh air.
It is the ancient days of the Persian Empire. Hadassah was content in her quiet life in the Jewish quarter of the city of Babylon with her uncle Mordecai, who had raised her from childhood. But she was old enough to be married, and yet her uncle hadn't arranged a marriage for her. Meanwhile in Shushan, King Ahasuerus' marriage to the vain and selfish Vashti has ended, and a new wife must be found. Why not bring to him the most beautiful women of the kingdom, and let him choose? And so the loveliest young women of the empire are selected in local contests, and Hadassah is among those chosen to go to Shushan to meet the King. But as a Jewess in a foreign land with powerful enemies to her faith, she must conceal her true identity and take the Babylonian name of Esther. Will she find love with a man she has never met? And can she survive in a strict royal court controlled by the evil prime minister Haman, who wants to destroy her people? Out of print for 40 years, this special edition contains the original text of "Behold Your Queen " in a large, trade size paperback, suitable for collecting.
This text provides a thorough treatment of futures, 'plain vanilla' options and swaps as well as the use of exotic derivatives and interest rate options for speculation and hedging. Pricing of options using numerical methods such as lattices (BOPM), Mone Carlo simulation and finite difference methods, in additon to solutions using continuous time mathematics, are also covered. Real options theory and its use in investment appraisal and in valuing internet and biotechnology companies provide cutting edge practical applications. Practical risk management issues are examined in depth. Alternative models for calculating Value at Risk (market risk) and credit risk provide the throretical basis fo...