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标签:数学
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Applied Computational Economics and Finance
This book presents a variety of computational methods used to solve dynamic problems in economics and finance. It emphasizes practical numerical methods rather than mathematical proofs and focuses on techniques that apply directly to economic analyses. The examples are drawn from a wide range of subspecialties of economics and finance, with particular emphasis on problems in agricultural and resource economics, macroeconomics, and finance. The book also provides an extensive Web-site library of computer utilities and demonstration programs.The book is divided into two parts. The first part develops basic numerical methods, including linear and nonlinear equation methods, complementarity methods, finite-dimensional optimization, numerical integration and differentiation, and function approximation. The second part presents methods for solving dynamic stochastic models in economics and finance, including dynamic programming, rational expectations, and arbitrage pricing models in discrete and continuous time. The book uses MATLAB to illustrate the algorithms and includes a utilities toolbox to help readers develop their own computational economics applications. -
线性代数
线性代数,ISBN:9787040317954,作者:李尚志 编著 -
离散数学引论
《离散数学引论》以简洁和通俗的形式介绍组合数学的一些本质性内容图论的重要问题,计数方法和试验设计,其中图论约占一半篇幅。《离散数学引论》很适于和中国中学数学教材的内容相衔接,阅读《离散数学引论》所需的预备知识只是中学数学(唯一的例外是在图论中需要矩阵的描述方式,但即使没有学过线性代数,也是可以接受的)。 书中有大量习题和例题,习题附有部分解答和提示,适于自学。《离散数学引论》可用作数学、计算机科学、信息科学等专业大学本科生的组合数学教材,可在大学一年级讲授。 -
The Symmetries of Things
Start with a single shape. Repeat it in some way - translation, reflection over a line, rotation around a point - and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers. -
工科数学分析基础教学辅导书(上册)
《工科数学分析基础教学辅导书(上册)》是“高等教育百门精品课程教材建设计划”(此计划作为整体已列入新闻出版总署“十五”国家重点图书规划)研究成果之一,是与西安交通大学马知恩和王绵森教授主编的普通高等教育“十五”国家级规划教材《工科数学分析基础》(第二版)(上册)相配套的教学辅导书。 《工科数学分析基础教学辅导书(上册)》每章内容分为三个部分:主要内容剖析;教学要求、典型例题与讨论题;习题选解。《工科数学分析基础教学辅导书(上册)》可作为工科学生学习高等数学课程的学习辅导书,并兼顾任课教师的教学需要,同时也可供其他非数学类专业的学生和教师参考。 -
代数几何
In spirit, this book is closer to Elements de Geometrie Algebrique (EGA) than the existing textbooks on algebraic geometry. It prvides an introduction to schemes, formal schemesc coherent sheaves, and their cohomologies. The prerequisites for reading this book is the knowledge of commutative algebra up to the level of Ateyah-Macdonald's book. The material on algebraic geometry covered in this book provides adequate preparation for reading more advanced books such as Seminaire de Geometrie Algebrique (SGA). -
生物数学引论
《生物数学引论》由浅入深讲述生物数学基础理论,从最经典的问题入手,最后走向学科前沿和近年的热点问题;内容先进,讲述方法科学,简洁明了,易读性好。生物数学在应用数学中占有日益重要的地位,数学系培养的学生至少一部分人应当对这个领域有所了解。随着生命科学的迅速发展,生物数学也发展很快。 《生物数学引论》自身具有完整体系,在“微积分”、“代数”等基础课知识之外,读者不需要其他预备知识。 《生物数学引论》适合用作数学及生命科学高年级本科生相关课程教材或参考书。 -
卡拉比-丘流形和相关几何
《卡拉比–丘流形和相关几何》是由2001年夏天norway,nordfjordeid讲述辛几何的讲义扩展而成。突出讲述calabi-yau是本书的最大特点。第一部分讲述完整群和已校准子流形,强调特殊拉格朗日算符子流形和syz猜想;第二部分运用代数几何讲述calabi-yau流形和镜子对称。最后一部分讲述紧hyperkahler流形,它具有的几何结果和calabi-yau流形有很大的关系。各部分之间过渡自然,衔接紧密紧密,是一部很好的教程。目次:黎曼完整群和已校准的几何;calabi-yau流形和镜子对称;紧hyperk?hler流形。 读者对象:数学专业的高年级本科生,研究生和科研人员。 -
Discrete Mathematics and Its Applications International Version
"Discrete Mathematics and its Applications, Sixth Edition", is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned best-selling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a discrete mathematics course and demonstrates the relevance and practicality of discrete mathematics to a wide variety of real-world applications...from computer science to data networking, to psychology, to chemistry, to engineering, to linguistics, to biology, to business, and to many other important fields. -
数学美拾趣
《数学美拾趣》不是系统论述数学美,而是将数学中美的精彩内容的片段摘出,从艺术和思维的角度加以欣赏;或是阐述某一个事物与数学的联系,从中体现出一种数学美。赏析之下,会觉得情趣盎然,在美的熏陶下,得到感情的共鸣和思维的启迪。 读者不仅可以从书中学到许多课本上学不到的知识,更重要的是可以学到一些灵活多变的思维方法,培养科学探索的精神。因此,《数学美拾趣》是具有中等文化程度的读者,特别是青少年的一本非常有益的读物。 -
Conics (Books 1-3) (Paperback)
Review "[Apollonius's Conics] is one of the greatest scientific books of antiquity." "[Apollonius was a] giant, not simply as compared with men of antiquity, but even with men of all times. ... [T]he ingenuity that enabled him to discover so much with imperfect tools [i.e., lacking the arts of analytic and projective geometry] is truly admirable...such achievements pass our imagination, they are almost weird." --George Sarton, from An Introduction to the History of Science and A History of Science If we want to read for ourselves authors like Kepler and Newton, or if we want to understand the significance of the Cartesian mathematics that has shaped the world we live in and shapes our minds as wellóeither way, whether to understand the past in its own terms or to understand the present as a deliberate transformation of the pastówe need to study Apollonius." --Harvey Flaumenhaft Dean, St. John's College, Annapolis Product Description The Conics of Apollonius (3rd Century BCE) is the culmination of the brilliant geometrical tradition of ancient Greece. With astonishing virtuosity, and with a storyteller's flair for thematic development, Apollonius leads the reader through the mysteries of these intriguing curved lines, treated as objects of pure mathematics. His work in turn provided a basis for the very differently conceived investigations of modern mathematicians and scientists such as Viète, Descartes, Kepler, and Newton. Reading the Conics is an unparalleled adventure into the highest reaches of human intellectual achievement. This is a completely new edition of Taliaferro's translation of the first three books of Apollonius's Conics, with all new diagrams. It is the only English translation of these books other than Heath's out-of-print version which is a modernized retelling rather than a true translation. Conics Books I--III were formerly included in Volume 11 of the Encyclopædia Britannica's Great Books of the Western World, but the work is no longer included in that series and has been out of print. We made many corrections to the old edition's text, translation, and notes. The book features all new diagrams, an index, a bibliography, and an introductory essay by Harvey Flaumenhaft. Design and layout make it easy to read and work with, with diagrams repeated on every spread, adequate space for notes, and high quality paper to prevent show-through. -
七巧板、九连环和华容道
《七巧板、九连环和华容道:中国古典智力游戏三绝》是《好玩的数学》丛书中的一册,介绍蜚声世界的我国三大古典智力游戏,即七巧板、九连环和华容道。数学的好玩之处,并不限于数学游戏。数学中有些极具实用意义的内容,包含了深刻的奥妙,发人深思,使人惊讶。就《好玩的数学》丛书而言,不同的读者也会从其中得到不同的乐趣和益处。可以当做休闲娱乐小品随便翻翻,有助于排遣工作疲劳、俗事烦恼;可以作为教师参考资料,有助于活跃课堂气氛,启迪学生心智;可以作为学生课外读物,有助于开阔眼界,增长知识、锻炼逻辑思维能力。即使对于数学修养比较高的大学生,研究生甚至数学研究工作者,也会开卷有益。 -
解析数论引论
《解析数论引论》共分十四章,将解析数论从古到今几乎所有的重要发现都作了较为简要的论述和介绍。《解析数论引论》适合大学师生及数论爱好者。 -
最优化方法
最优化方法,ISBN:9787302137825,作者:何坚勇 -
MATLAB宝典
《MATLAB宝典》由浅入深、循序渐进地介绍了MATLAB7.0的知识体系及操作方法。全书共分14章,内容涵盖了MATLAB7.0概述、基础知识、数值运算、数据分析、符号计算、数据的可视化、M语言程序设计、Simulink仿真系统、句柄图形、GUI、文件输入/输出、编译器和应用程序接口等。 -
Optimization by Vector Space Methods (Series in Decision and Control)
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book. -
Elementary Mathematics from an Advanced Standpoint
This text begins with the simplest geometric manifolds, the Grassmann determinant principle for the plane and the Grassmann principle for space; and more. Also explores affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. Concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.
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