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。

《数学建模方法及应用》立足初等数学基础，兼顾高等数学知识的过渡和有效拓展，深入地探讨高职院校学生职业能力发展所需要的数学教学，通过吸收相关领域的研究成果，深入分析岗位工作中所需要的知识、能力与技术，结合学生基础和专业需要，与各专业课程进行合理的融合。全书共十章，每节以一个或几个案例为主，辅以项目模块设计和问题驱动的形式编排。模块一介绍数学建模的概念和方法，然后以初等模型、优化模型的典型案例介绍数学建模的基本流程和方法，读者通过这个模块，能够学会建立数学模型，并能够解决简单的实际问题。模块二主要结合高等数学的知识和方法，体现微积分、线性代数与解析几何、概率统计等数学理论在数学建模中的拓展应用，其中的案例涉及经济、管理、生产、设计、日常生活等各个领域，适合不同专业的高职学生学习。模块三是评价与数据处理，主要介绍综合评价、层次分析法等评价方法，数据处理的基本方法，以及拟合、回归分析等数学建模方法，使读者在信息时代提高数据处理的能力。该书同时参考全国数学建模竞赛的优秀论文，结合高职层次学生的实际，比较完整地呈现问题的解决思路和过程。《数学建模方法及应用》在介绍软件在数学建模中的应用方面，选择常用的软件和简单操作方法，适度培养学生数学软件的使用和编程的能力，使得学生在建立模型时，尽量应用比较熟悉的算法，不去考虑繁琐的程序设计。《数学建模方法及应用》可供数学建模应用研究者阅读使用，亦可作为高职数学建模教材。

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

《基础数学（一）（二）（套装共2册）》根据师范类学生入学时不同层次以及考证大纲编写：基础数学（一）包括：集合、不等式、函数、指数函数、对数函数、三角函数、数列；基础数学（二）包括：排列组合、概率论初步、统计初步、直线的方程、圆的方程、点、直线平面之间的位置关系、空间几何体。