高等数学（航空类）
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作者金晶晶
出版社电子工业出版社
ISBN9787121464881
出版时间2023-09
装帧平装
开本其他
定价69.9元
货号1203113044
上书时间2023-11-04
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目录
目 录
基础模块
第一章 基础知识 ···························································································.1
第一节 代数基础 ····················································································2
第二节 等式与不等式 ··············································································9
第三节 函数及其性质 ···········································································.19
第四节 几何基础 ·················································································.39
复习题一 ·····························································································.47
第二章 极限与连续 ························································································52
第一节 函数的极限 ··············································································.53
第二节 极限的运算 ··············································································.65
第三节 函数的连续性 ···········································································.81
复习题二 ·····························································································.91
第三章 导数与微分 ·····················································································.100
第一节 导数的概念 ··············································································101
第二节 直接求导法 ··············································································110
第三节 复合函数求导法 ········································································114
第四节 隐函数求导法和参数方程求导法 ···················································120
第五节 高阶导数 ·················································································124
第六节 函数的微分 ··············································································127
复习题三 ·····························································································131
第四章 导数的应用 ·····················································································.137
第一节 微分中值定理 ···········································································138
第二节 洛必达法则 ··············································································141
第三节 函数的单调性和极值 ··································································147
第四节 函数的最值 ··············································································153
第五节 曲线的凸凹与拐点 ·····································································156
复习题四 ·····························································································165
第五章 不定积分 ························································································.170
第一节 原函数与不定积分 ·····································································170
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高等数学（航空类）
第二节 不定积分的第一换元积分法 ·························································179
第三节 不定积分的第二换元积分法 ·························································186
第四节 不定积分的分部积分法 ·······························································191
第五节 积分表的使用 ···········································································197
复习题五 ·····························································································198
第六章 定积分 ···························································································.206
第一节 定积分的概念与性质 ··································································207
第二节 定积分的计算 ···········································································217
第三节 定积分在几何上的应用 ·······························································225
复习题六 ·····························································································230
第七章 微分方程 ························································································.234
第一节 微分方程的基本概念 ··································································235
第二节 一阶微分方程 ···········································································237
第三节 二阶微分方程 ···········································································243
第四节 微分方程的应用 ········································································251
复习题七 ·····························································································254
职业模块
第八章 多元函数微积分及其应用 ···································································.257
第一节 多元函数极限与连续性 ·······························································258
第二节 偏导数及全微分 ········································································262
第三节 多元函数的极值及其应用 ····························································268
第四节 二重积分 ·················································································272
复习题八 ·····························································································281
第九章 空间解析几何 ··················································································.284
第一节 向量的几何表示 ········································································284
第二节 向量的坐标表示 ········································································287
第三节 平面及其方程 ···········································································295
第四节 空间直线及其方程 ·····································································299
复习题九 ·····························································································305
第十章 航空工程测量误差理论基础 ································································.308
第一节 测量误差概述 ···········································································309
第二节 航空工程中的测量精度的标准 ······················································313
第三节 误差传播定律 ···········································································316
第四节 最或是值及其残差 ·····································································321
第五节 等精度直接观测平差 ··································································322
复习题十 ·····························································································326
附录 积分表 ······························································································.327
内容摘要
本书深入贯彻近年职业教育有关指示批示和重要文件精神，基于高职教育的实际情况和本课程教学要求，基于"数专结合”理念，以服务高职院校航空专业群（含通用航空航务技术、无人机应用技术、通用航空器维修、空中乘务等专业）教学需求为导向，内容体现思想性、科学性、基础性、职业性、时代性，体现学科知识与航空行业应用场景的融合，对数学概念、性质等内容提供直观、通俗的说明和解释，契合高职生数学基础和学习特点。本书作为高职院校航空专业学生必修的一门专业基础课教材，分为两个部分：一是基础部分。以一元函数微积分的基本知识和计算技能为主线，夯实基础，同时结合课程思政，提高学生数学核心素养。二是应用部分。以航空专业球面几何知识和数学模型为主要教学内容，注重使学生掌握航空专业知识相关的数学技能，服务专业课学习需求和未来职业发展需要。
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