MATHEMATICS LECTURE NOTE SERIES

本书以计算机科学中的可计算性理论和计算复杂性理论为背景，以生活的比喻，介绍这一领域的基础知识和主要研究成果。

《高等数学(下)》对分析、代数、几何等方面作了统一的综合处理，提示数学的本质、联系和发展规律；注重数学概念的实际背景和几何直观的引入，强调数学建模的思想和方法；在适度运用严格数学语言的同时，注意论述方式的自然朴素、易于理解；配有丰富多彩的例题和习题，便于学生理解和训练。全书分上、下册。上册包括一元微积分、线性代数、空间解析几何；下册包括多元微积分、级数、常微分方程、概率论与数理统计。

"Magical Mathematics" reveals the secrets of amazing, fun-to-perform card tricks - and the profound mathematical ideas behind them - that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath Principle - a fantastic effect where the cards remain in control despite being shuffled - is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. "Magical Mathematics" covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories - and reveals the best tricks - of the eccentric and brilliant inventors of mathematical magic. "Magical Mathematics" exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick - and much more.

Essential Mathematics for Economic Analysis, third edition The market leading European text, Essential Mathematics for Economic Analysis, third Edition, continues to provide an invaluable introduction to the mathematical tools that undergraduate economists need New to this edition: * New: Economic concepts, definitions and topics covered in the book are listed on the inside front cover. * New: Short answers to almost all of the more than 1000 problems in the book for students to self check. * New Students Manual with extended worked answers to selected problems in the book. *New sections on elementary differential equations and difference equations included in this volume for the first time. * New and improved figures in colour for the first time. *New Instructor's Manual now contains a large range of additional supplementary problems, simple to advanced, suitable for use in examinations. Knut Sydsater is an Emeritus Professor of Mathematics in the Economics Department at the University of Oslo, where, since 1965, he has had extensive experience in teaching mathematics for economists. He has also given graduate courses in dynamic optimization at Berkeley and Gothenborg.He has written and co-authored a number of books, of which several have been translated into many languages. In recent years he has been engaged in an attempt to improve the teaching of mathematics for economists in several African universities. PeterHammond is currently the Marie Curie Professor of Economics at the University of Warwick, where he moved in 2007 after becoming an Emeritus Professor at Stanford University. During the 1970s he was a Lecturer, then Professor in Economics at the University of Essex. He completed a BA in Mathematics and a PhD in Economics at the University of Cambridge. He has been an editor of the Review of Economic Studies, of the Econometric Society Monograph Series, and has served on the editorial boards of Social Choice and Welfare and the Journal of Public Economic Theory. He has published more than 100 academic papers in journals and books, mostly on economic theory and mathematical economics.Also available: Further Mathematics for Economic Analysis published in a new 2ND EDITION by Sydsater, Hammond, Seierstad and Strom (ISBN 9780273713289) Further Mathematics for Economic Analysis is a companion volume to Essential Mathematics for Economic Analysis intended for advanced undergraduate and graduate economics students whose requirements go beyond the material found in this text. Do you require just a couple of additional further topics? See the front of this text for information on our Custom Publishing Programme. 'The book is by far the best choice one can make for a course on mathematics for economists. It is exemplary in finding the right balance between mathematics and economic examples.' Dr. Roelof J. Stroeker, Erasmus University, Rotterdam. I have long been a fan of these books, most books on Maths for Economists are either mathematically unsound or very boring or both! Sydsaeter & Hammond certainly do not fall into either of these categories.' Ann Round, University of Warwick Visit www.pearsoned.co.uk/sydsaeter to access the companion website for this text including: Student Manual with extended answers broken down step by step to selected problems in the text.*Excel supplement *Multiple choice questions for each chapter to self check your learning and receive automatic feedback.

物理学中的群论导论，ISBN：9787506273046，作者：康威尔