在1990年，史蒂夫·尼森将古老的日本蜡烛图技术系统地介绍给了西方投资界，这一举动震惊了传统的技术分析方法，史蒂夫·尼森因此被誉为现代蜡烛图技术之父。 今天，史蒂夫·尼森又为我们带来全新力作《日本蜡烛图技术新解》，在本书中，尼森又带来了以下内容： ·融入十几年交易实践，对蜡烛图技术的更深入理解。 ·第一次向读者介绍蜡烛图技术的四套独门绝技：卡吉图、连呼图、三线破顶图以及差异指标，这些技术在当今市场的实际应用中都有着卓越表现。 ·200份图表说明，几十个实操案例，并明确向读者介绍了这些技术方法的适用范围 ·讨论了各种技术在股票证券市场、商品期货市场、外汇市场和海外资本市场的不同作用 ·介绍了如何将这些方法与传统交易法则以及西方技术理念相融合，以取得更优市场水平。

长期以来中国的信息科学与信息实践存在严重的脱节问题，虽然信息分析与情报研究广泛应用于各个领域的历史相当久远，但信息分析始终并未形成独立的学科体系，因此难以进一步的发展，并对中国未来的竞争实践构成了现实威胁。 为了使信息分析和情报研究能够有效地面向未来，作者结合日常分析工作，通过历时一年半的研究和写作，提出了信息反射论、思维训练、知识能力、信息链和策略研究等一连串的基础理论概念，引入了必要的方法体系和基本原则，批判性地挑战了长期以来信息科学的传统观点，并在此基础上，首次明确提出并构筑形成了信息分析学的基本概念和理论基础。 应该说，这是一部来自于专业研究人员的著作，是来自于现实的作品，非常务实且具有可操作性。

数学主要讲述思想的方法，深入理解数学比掌握一大堆的定理、定义、问题和技术显得更为重要。理论和定义共同作用，《分析方法(修订版)(英文版)》在介绍实分析的时候结合详尽、广泛的阐释，使得读者完全理解分析基础和方法。目次：基础；实数体系结构；实线拓扑；连续函数；微分学；积分学；序列和函数级数；超函数；欧拉空间和矩阵空间；欧拉空间上的微分计算；常微分方程；傅里叶级数；隐函数、曲线和曲面；勒贝格积分；多重积分。读者对象：数学专业的研究生以及相关的科研人员。 目录 Preface 1 Preliminaries 1.1 The Logic of Quantifiers 1.1.1 Rules of Quantifiers 1.1.2 Examples 1.1.3 Exercises 1.2 Infinite Sets 1.2.1 Countable Sets 1.2.2 Uncountable Sets 1.2.3 Exercises 1.3 Proofs 1.3.1 How to Discover Proofs 1.3.2 How to Understand Proofs 1.4 The Rational Number System 1.5 The Axiom of Choice 2 Construction of the Real Number System 2.1 Cauchy Sequences 2.1.1 Motivation 2.1.2 The Definition 2.1.3 Exercises 2.2 The Reals as an Ordered Field 2.2.1 Defining Arithmetic 2.2.2 The Field Axioms 2.2.3 Order 2.2.4 Exercises 2.3 Limits and Completeness 2.3.1 Proof of Completeness 2.3.2 Square Roots 2.3.3 Exercises 2.4 Other Versions and Visions 2.4.1 Infinite Decimal Expansion 2.4.2 Dedekind Cuts 2.4.3 Non-Standard Analysis 2.4.4 Constructive Analysis 2.4.5 Exercises 2.5 Summary 3 Topology of the Real Line 3.1 The Theory of Limits 3.1.1 Limits, Sups, and Infs 3.1.2 Limit Points 3.1.3 Exercises 3.2 Open Sets and Closed Sets 3.2.1 Open Sets 3.2.2 Closed Sets 3.2.3 Exercises 3.3 Compact Sets 3.3.1 Exercises 3.4 Summary 4 Continuous Functions 4.1 Concepts of Continuity 4.1.1 Definitions 4.1.2 Limits of Functions and Limits of Sequences 4.1.3 Inverse Images of Open Sets 4.1.4 Related Definitions 4.1.5 Exercises 4.2 Properties of Continuous Functions 4.2.1 Basic Properties 4.2.2 Continuous Functions on Compact Domains 4.2.3 Monotone Functions 4.2.4 Exercises 4.3 Summary 5 Differential Calculus 5.1 Concepts of the Derivative 5.1.1 Equivalent Definitions 5.1.2 Continuity and Continuous Differentiability 5.1.3 Exercises 5.2 Properties of the Derivative 5.2.1 Local Properties 5.2.2 Intermediate Value and Mean Value Theorems 5.2.3 Global Properties 5.2.4 Exercises 5.3 The Calculus of Derivatives 5.3.1 Product and Quotient Rules 5.3.2 The Chain Rule 5.3.3 Inverse Function Theorem 5.3,4 Exercises 5.4 Higher Derivatives and Taylor's Theorem 5.4.1 Interpretations of the Second Derivative 5.4.2 Taylor's Theorem 5.4.3 L'HSpital's Rule 5.4.4 Lagrange Remainder Formula 5.4.5 Orders of Zeros 5.4.6 Exercises 5.5 Summary 6 Integral Calculus 6.1 Integrals of Continuous Functions 6.1.1 Existence of the Integral 6.1.2 Fundamental Theorems of Calculus 6.1.3 Useful Integration Formulas 6.1.4 Numerical Integration 6.1.5 Exercises 6.2 The Riemann Integral 6.2.1 Definition of the Integral 6.2.2 Elementary Properties of the Integral 6.2.3 Functions with a Countable Number of Discon-tinuities 6.2.4 Exercises 6.3 Improper Integrals 6.3.1 Definitions and Examples 6.3.2 Exercises 6.4 Summary 7 Sequences and Series of Functions 7.1 Complex Numbers 7.1.1 Basic Properties of C 7.1.2 Complex-Valued Functions 7.1.3 Exercises 7.2 Numerical Series and Sequences 7.2.1 Convergence and Absolute Convergence 7.2.2 Rearrangements 7.2.3 Summation by Parts 7.2.4 Exercises 7.3 Uniform Convergence 7.3.1 Uniform Limits and Continuity 7.3.2 Integration and Differentiation of Limits 7.3.3 Unrestricted Convergence 7.3.4 Exercises 7.4 Power Series 7.4.1 The Radius of Convergence 7.4.2 Analytic Continuation 7.4.3 Analytic Functions on Complex Domains 7.4.4 Closure Properties of Analytic Functions 7.4.5 Exercises 7.5 Approximation by Polynomials 7.5.1 Lagrange Interpolation 7.5.2 Convolutions and Approximate Identities 7.5.3 The Weierstrass Approximation Theorem 7.5.4 Approximating Derivatives 7.5.5 Exercises 7.6 Eouicontinuity 7.6.1 The Definition of Equicontinuity 7.6.2 The Arzela-Ascoli Theorem 7.6.3 Exercises 7.7 Summary 8 Transcendental Functions 8.1 The Exponential and Logarithm 8.2 Trigonometric Functions 8.3 Summary 9 Euclidean Space and Metric Spaces 9.1 Structures on Euclidean Space 9.2 Topology of Metric Spaces 9.3 Continuous Functions on Metric Spaces 9.4 Summary 10 Differential Calculus in Euclidean Space 10.1 The Differential 10.2 Higher Derivatives 10.3 Summary 11 Ordinary Differential Equations 11.1 Existence and Uniqueness 11.2 Other Methods of Solution 11.3 Vector Fields and Flows 11.4 Summary 12 Fourier Series 12.1 Origins of Fourier Series 12.2 Convergence of Fourier Series 12.3 Summary 13 Implicit Functions, Curves, and Surfaces 13.1 The Implicit Function Theorem 13.2 Curves and Surfaces 13.3 Maxima and Minima on Surfaces 13.4 Arc Length 13.5 Summary 14 The Lebesgue Integral 14.1 The Concept of Measure 14.2 Proof of Existence of Measures 14.3 The Integral 14.4 The Lebesgue Spaces L1 and L2 14.5 Summary 15 Multiple Integrals 15.1 Interchange of Integrals 15.2 Change of Variable in Multiple Integrals 15.3 Summary Index

This book is intended as a textbook for a first course in the theory offunctions of one complex variable for students who are mathematicallymature enough to understand and execute arguments. The actual pre-requisites for reading this book are quite minimal; not much more than astiff course in basic calculus and a few facts about partial derivatives. Thetopics from advanced calculus that are used (e.g., Leibniz's rule for differ-entiating under the integral sign) are proved in detail.

这是近年来现代分析数学最著名、最重要的论著之一。近30年来，调和分析历经了巨大发展，涌现了许多新的成果，而此书的主旨正是对这一领域的最新发展作了全面、系统、深入的阐述。书中主要论述了以下几方面的内容：调和分析经典理论的实变刻画；拟微分算子与奇异积分算子；几乎正交理论；振荡积分理论；极大算子和极大平均理论Heisenberg群上的调和分析等。作者尽量使用第一手材料，而且尽其所能将每一种证明方法的优越性告诉读者。每章的附录对最新的研究成果及其在其它学科中的应用进行了详细的评述。总之，这是一部论证严谨、内容丰富而不乏深度的不可多得的优秀学术专著。

“无穷小分析”这一名称是由欧拉创始的，这正是数学中“分析”一支名称的起源。本书作者所在的布尔巴基学派对20世纪的法国数学教学改革作出了重要的贡献，但也出现了一些消极影响，例如倡导独立子传统数学的所谓“新数学”；也有过只重视理论。而忽略计算的倾向。本书是作者为纠正这些偏向而设置的课程编写的。在本书所讲的无穷小计算中。使用不等式要比使用等式多得多，而且可用三个词作为本书的提要：求上界、求下界、逼近。作者希望读者通过学习本书。不是只学会一些无穷小分析中运算的机械程序，而是还懂得有关“直观”的概念。 《无穷小计算》包含函数与映射的逼近及渐近展开式、复查解析函数的基础、一阶与二阶线性微分方程的近似解法与稳定性以及贝寡尔函数等。书中有不少新意。并附有相当数量的优秀习题。 《无穷小计算》可供大学数学专业师生选教，选学。也可供广大数学工作者和相关专业人员参考。

A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, "Complex Analysis" will be welcomed by students of mathematics, physics, engineering and other sciences. "The Princeton Lectures in Analysis" represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which "Complex Analysis" is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing "Fourier" series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

he present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i.e., the general theory of linear operators infunction spaces together with salient features of its application to diverse fields of modem and classical analysis. Necessary prerequisites for the reading of this book are summarized,with or without proof, in Chapter 0 under titles: Set Theory, Topological Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathematicians, both pure and applied. The reader may pass, e.g., fromChapter IX (Analytical Theory. of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X,respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.

An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: * Revised material on the n-dimensional Lebesgue integral. * An improved proof of Tychonoff's theorem. * Expanded material on Fourier analysis. * A newly written chapter devoted to distributions and differential equations. * Updated material on Hausdorff dimension and fractal dimension.

分析学（第2版），ISBN：9787040173819，作者：（美）利布、（美）洛斯

《数学翻译丛书:高等微积分(修订版)》是哈佛大学的高等微积分教材，内容涵盖了从基本的向量空间概念到经典力学基本定理。包括多元微积分、外微分、微分形式的积分等。《数学翻译丛书:高等微积分(修订版)》的特点是作者从拓扑一几何的观点来写微积分。用更现代的方式讲线性代数，把线性代数与微积分紧密地结合起来，这顺应了当代数学“拓扑几何与分析结合”的发展潮流。

《复变函数论(第3版)》是在第二版的基础上，集撷作者多年教学心得和科研成果，并根据1988年全国复变函数编写提纲讨论会精神修订的。此次修订着眼于进一步提高质量，更加适应多数学校的教学需要，保留第二版阐述细致，便于自学的特点，对已发现的错误和不妥之处，予以改正。《复变函数论(第3版)》内容包括:复数与复变函数、解析函数、复变函数的积分、解析函数的幂级数表示法、解析函数的洛朗展式与孤立奇点、留数理论及其应用、共形映射、解析延拓和调和函数共九章。对于加上*号内容，供学有余力的学生选学。《复变函数论(第3版)》可作为高等师范院校数学系的教材，也可为其他理工院校、教育学院所选用。

"Real Analysis" is the third volume in the "Princeton Lectures in Analysis", a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After setting forth the basic facts of measure theory, Lebesgue integration, and differentiation on Euclidian spaces, the authors move to the elements of Hilbert space, via the L2 theory. They next present basic illustrations of these concepts from Fourier analysis, partial differential equations, and complex analysis. The final part of the book introduces the reader to the fascinating subject of fractional-dimensional sets, including Hausdorff measure, self-replicating sets, space-filling curves, and Besicovitch sets. Each chapter has a series of exercises, from the relatively easy to the more complex, that are tied directly to the text. A substantial number of hints encourage the reader to take on even the more challenging exercises. As with the other volumes in the series, "Real Analysis" is accessible to students interested in such diverse disciplines as mathematics, physics, engineering, and finance, at both the undergraduate and graduate levels.

微积分入门1：一元微积分，ISBN：9787115172617，作者：（日本）小平邦彦 著；裴东河 译

《实变函数论与泛函分析:上册•第2版修订本》内容简介：本版保持了初版的思想体系和基本结构，从局部来看作了一定程度的修改。在编写初版时，我们对《实变函数论与泛函分析:上册•第2版修订本》编写的思想体系和基本结构给予了较多的考虑。但由于某些内容过去就很少有作为基础课讲授的教学经验，另一方面也由于当时编写时间比较仓促，因此从具体内容处理的技术方面来看，确有必要进行一次较全面的、细致的修订。本次修订，是在作者对初版进行了两次教学实践和兄弟院校使用初版后提出意见的基础上进行的。