机械工业出版社本书是“十三五”国家重点出版物规划项目名校名家基础学科系列教材，是普通高等教育“十一五”规划教材，是以教育部（原国家教育委员会）颁布的《高等学校工科本科高等数学课程教学基本要求》为纲，广泛吸取国内外知名大学的教学经验，并总结我校多年来的教学改革与实践经验而编写的工科数学分析课程教材.本书在第3版的基础上增减和修改了一些内容，并调整了部分内容的顺序，加强了数学思想的前后连贯性，提高了教材的可读性. 本书共9章：实数、数列的极限、函数的极限与连续性、导数及其应用、不定积分、定积分、广义积分、定积分的应用、常微分方程.每章都配有大量的例题与典型计算题，书后附有计算题答案，便于读者自学. 本书可作为工科本科生的数学课教材，也可供大学教师、准备报考工科硕士研究生的人员与工程技术人员参考.

数学对于幼儿来说是一个抽象的概念。如何让您的孩子愉快地进入数学领域呢？《魔法数学（基础篇）/幼小衔接》能帮家长们解开心中之惑。《魔法数学（基础篇）/幼小衔接》利用精心设计的特制棋具，将抽象的逻辑思维转化成生动直观的形象思维，把9以内的加减计算转化为一种棋盘游戏，激发幼儿动手玩数学的兴趣。幼儿是记忆图像的天才，有着丰富的想象力，把数量图像化、数位人物化、计算游戏化正是本套图书的魅力所在。书中所述教学方法新颖有趣，原理形象直观，学具简单易得，易于幼儿理解、掌握。

计算机的高速发展为用数值计算方法解决科学技术中的各种数学问题提供了简便而有力的条件。数值计算方法已成为当代大学生必须掌握的基础知识。《计算方法/普通高等教育公共基础课精品系列教材》讲述数值计算的理论与基本方法，内容包括：误差概念及数值计算中的若干问题、插值法、函数逼近与曲线拟合、方程的近似解法、线性方程组的直接解法、线性方程组的迭代解法、数值积分与数值微分、常微分方程的数值解法、矩阵特征值和特征向量的计算。该书注重理论联系实际，各章节都配备了丰富的数值计算例题与适量的数值实验题，部分章节配备了教学视频。《计算方法/普通高等教育公共基础课精品系列教材》可作为大学本科和研究生教材，亦可供相关人员参考。

本套教材是根据《工科类本科数学基础课程教学基本要求》编写的，适合高等院校工科类各专业学生使用.本套教材共12章，分上、下册.本书为下册，内容包括向量代数与空间解析几何、多元函数微分法及其应用、重积分、曲线积分与曲面积分、无穷级数，共五章.根据学生的学习规律，本套教材每章都有知识点总结，以便学生更好地掌握.作为立体化教材，本套教材配备了相应的网络学习内容.用户通过扫描书中的二维码，即可获得这些学习资源.本套教材内容丰富，简明易懂，可作为高等院校工科类各专业的大学数学教材，也可作为相关专业领域读者的参考书.

《高等数学练习册（上）》为《高等数学（上）》（孙小华、吕莉芳主编，科学出版社出版）的配套练习册，共分5章，章节的划分与《高等数学（上）》完全一致，每章按节设置练习题，包括单项选择题、填空题、判断题、计算题、证明题等题型，每章后还配有一套自测题。《高等数学练习册（上）》可作为高等职业院校、高等专科学校、普通本科院校学生学习高等数学课程的辅导教材，也可作为专升本人员复习备考的辅导教材。

本书系统而全面地介绍复变理论及其在工程问题上的应用，理论与实际应用密切结合，对工程类学科的学生来说，这种方式更生动地表达了数学理论的内涵。

本书的编写主要有以下特点： 1. 教材编写形式新颖。每章都包括案例引出、概念分析、应用举例等内容。 2. 数学基础理论、数学建模和数学实验有机地结合。本书最后两章分别是数学建模和数学实验。 3. 以实例引出数学概念，注重数学思想方法的教学。本书以现实、生动的实例引出数学概念，使学生深入地理解数学概念产生的背景，不仅增强了学生对数学概念的认识和兴趣，而且有利于学生创新思维的发展。 4. 通过“案例”教学凸显专业特色。本书从内容的选择、例题的确立以及数学模型的建立，都力求体现专业特色；在内容编排上，以“面向专业，为专业服务”为原则，精选各专业必需的数学基础知识。 5. 教材可根据不同专业灵活选择相应的章节学习。本套书分上下两册，授课教师可根据课时数量和不同专业灵活选择相应的章节学习。

Fractional order calculus is the theory of arbitrary order differential and integral， it is unified with the integer order differential and integral calcu-lus， is the development of classical calculus， fractional calculus as a descrip-tion of classical physics and related discipline theory analytic mathematical tools have been widely accepted， but when people study complex systems and complex phenomena， the classical integer order differential and integral equation description for the systems will encounter a series of problems，therefore， there is an urgent looking forward to having a kind of mathema-tical tools available and can be based on the basic principle of the complex system modeling. Fractional-order differential equations are very suitable for describing materials and processes with memory and heritability， and their description of complex systems has the advantages of simple model-ing， clear physical meaning of parameters and accurate description.In recent decades， fractional differential equations have been increasing-ly used to describe problems in optical and thermal systems， theological and material and mechanical systems， signal processing and system identi-fication， control and robotics and their applications. Fractional differentialequations have been investigated by more and more scholars from around the world. With the emergence of fractional-order differential equation model in more and more scientific fields， the theoretical analysis of fractional-order differential equations is particularly urgent.The first chapter is mainly about some definitions， lemmas and prepa-ration theorems， preparing for the presentation of follow-up results.In chapter 2， after a brief introduction， in section 2， nonlinear frac-tional differential equations involving different Riemann-Liouville fractional derivatives are presented; in sections 3 and 4， three-point boundary value problem and multi-point boundary value problem under different conditions are discussed; in section 5， integral boundary value problem for nonlinear fractional differential equations on an unbounded domain is presented; sec-tion 6 is about the existence and uniqueness of positive solutions to arbitrary order nonlinear fractional differential equations with advanced arguments.Section 7 is concerned with the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional dif-ferential equation with integral boundary conditions. In section 8， under certain nonlinear growth conditions of the nonlinearity， the existence of so-lutions for a nonlinear Hadamard type fractional differential equation with strip condition and p-Laplacian operator is studied.In section 9， the unique-ness， existence and nonexistence of solutions of the fractional turbulent fiow model are discussed.Chapter 3 is about nonlinear fractional integro-differential equation.Section 2 is about initial value problem for nonlinear neutral fractional integro-differential equation with nonlinear term depending on lower order derivative. In the third section， the existence of minimal nonnegative so-lution for a class of nonlinear fractional integro-differential equations on semi-infinite intervals in Banach spaces is discussed. Section 4 is concerned with the existence of solutions for nonlinear fractional differential equations of Volterra type with nonlocal fractional integro-differential boundary con-ditions on an infinite interval. In section 5， a Hadamard type fractional integro-differential equation on infinite intervals is considered.Nonlinear impulsive fractional differential equation is the focus of Chap-ter 4.Nonlinear impulsive fractional differential equations with anti-periodic boundary conditions are discussed in section 2. Section 3 is about nonlinear impulsive fractional differential equations with nonlocal integral boundary condition. Section 4 is concerned with nonlinear Langevin equa-tion with two different fractional orders and impulses.Chapter 5 is devoted to the system of nonlinear fractional differentialequation. In Section 2， the existence results and the monotone iterativetechnique for systems of nonlinear fractional differential equations are p-resented.Section 3 is about the existence of an extremal solution for a nonlinear system involving the right-handed Riemann-Liouville fractional derivative with nonlocal coupled integral boundary conditions. Section 4 is about the existence of solutions for a coupled system of nonlinear neutral fractional differential equations， which involves Riemann-Liouville deriva-tives of different fractional orders.Section 5 in the chapter is concerned with a coupled system of nonlinear fractional differential equations with multi-point fractional boundary conditions on an unbounded domain.At the end of each chapter， there are short notes and remarks indicating the source of the content.

本书是《微积分》（下册）的教学参考书，内容包括定积分、多元函数微积分学、无穷级数、常微分方程与差分方程等知识。全书分为三大部分，其中第一部分为对应教材的课后习题全解和总复习题全解 ；第二部分为试题选编；第三部分为试题选编全解。

本书内容包括：函数、极限与连续、导数与微分、导数与微分的应用、积分及应用、微分方程、多元函数的微分法、重积分、拉普拉斯（Laplace）变换、级数、傅立叶（Fourier）变换、线性代数初步、概率基本知识。适用专业：电子信息工程技术、应用电子技术、移动通信技术、物联网应用技术、电气自动化技术、轨道交通控制、轨道交通车辆、高速铁道技术等