本书系作者在为研究生讲授群论的讲义的基础上编写的。 全书共分八章。前两章讨论有限群及其表示的基本数学理论；第三、第四章讨论点群在分析晶体宏观性质中的应用；第五章讨论群论与量子力学的关系；第六章讨论空间群的不可约表示及其在能带理论中的应用；最后两章介绍晶格动力学中的群论方法，色群及其表示理论。全书内容详尽，结构完整，特别是针对固体物理学中的问题讨论了群的性质和应用，有助于读者有效地应用群的知识，简洁的处理有关计算问题。 本书可供理科硕士研究生和高年级本科生作教材使用，亦可供有关科研人员参考。

《万向思维•10分钟掌控课堂•高效课时通:数学(9年级下册)(人教版)》以教师参考用书为标准，结合实际教学情况，按课时编写学习内容，完全与课堂学习同步，既可以随堂使用，检查课堂知识的掌握情况，又可以课后使用，进一步巩固强化知识。紧跟课本知识，通过各种形式的习题训练，来加深对概念的进一步理解。在掌握基本知识的基础上，为了更深层次的理解和运用所学知识来解决生活中的实际问题。

This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California's Stanford University, who has written lots of extra material including some on Interior Point Methods.

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

This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAGA theorem, which perhaps best encapsulates the link between algebra and analysis. GAGA provides the unifying theme of the book: we develop enough of the modern machinery of algebraic geometry to be able to give an essentially complete proof, at a level accessible to undergraduates throughout. The book is based on a course which the author has taught, twice, at the Australian National University.

《哥德巴赫猜想(第2版)》系统介绍有关著名数学难题——哥德巴赫猜想的研究成果，特别是我国数学家的重大贡献，同时介绍研究这一问题的一些重要方法。

This book contains several contributions on the most outstanding events in the development of twentieth century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a considerable role. The articles are written in an informal style, from mathematical philosophy to the description of the development of ideas, personal memories and give a unique account of personal meetings with famous representatives of twentieth century mathematics who exerted great influence in its development.This book will be of great interest to mathematicians, who will enjoy seeing their own specialities described with some historical perspective. Historians will read it with the same motive, and perhaps also to select topics for future investigation.

《和算选粹》从日本江户时代(1603－1867年)留传下来的数万种和算典籍中精选出具有代表性的十几种著述，进行翻译、注释和解说。共涉及和算家七位，数学内容主要包括代数学、无穷小算法、代数化几何、不定分析与组合分析等知识领域，基本能反映和代表日本和算家创造性的数学成就与特色。 《和算选粹》前言部分完整地概述了和算的发展历史、与中国数学的关系、和算的主要成就与特色、和算书籍现存情况等。在每篇数学文献前都有简单的背景介绍，包括作者的生平与数学业绩、所选文献的数学内容、流传与影响。 《和算选粹》主要读者对象是数学史工作者及相关专业大学师生。 《和算选粹》为我们认识中国数学传统提供了一个新的视角，将和算及其与中算关系的研究纳入丝路基金项目，也具有重要的学术价值。

《计算数论》是德国施普林格出版社出版的Number Theory for Computing （2nd Edition）的译作，作者长期从事计算数论与计算复杂性理论的研究，擅长于从数论和计算机科学的结合上研究数论算法和密码算法的复杂性以及难解性，《计算数论》是一本学术专著，主要内容包括初等数论、计算数论、计算与密码学中的数论，叙述清楚易懂，适合作为数学专业和计算机专业的研究生或高年级本科生的教材。

《随机过程高级教程(英文版)》是人民邮电出版社影印和翻译出版的《随机过程初级教程》的姊妹篇，内容包括马尔可夫链的代数方法、转移概率的比定理及应用、连续时间马尔可夫链、扩散过程、复合随机过程、独立同分布随机变理部分和波动理论、排队过程等很多主题。

KEY BENEFIT: This new book is written in a conversational, accessible style, offering a great deal of examples. It gradually ascends in difficulty to help the student avoid sudden changes in difficulty. Discusses analysis from the start of the book, to avoid unnecessary discussion on real numbers beyond what is immediately needed. Includes simplified and meaningful proofs. Features Exercises and Problems at the end of each chapter as well as Questions at the end of each section with answers at the end of each chapter. Presents analysis in a unified way as the mathematics based on inequalities, estimations, and approximations. For mathematicians.

David Poole's innovative book prepares students to make the transition from the computational aspects of the course to the theoretical by emphasizing vectors and geometric intuition from the start. Designed for a one- or two-semester introductory course and written in simple, "mathematical English" the book presents interesting examples before abstraction. This immediately follows up theoretical discussion with further examples and a variety of applications drawn from a number of disciplines, which reinforc

高中卷，数学竞赛中的数论问题.数学奥林匹克小丛书，ISBN：9787561741610，作者：余红兵