Newton's fundamental discovery, the one which he considered necessary to keep secret and published only in the form of an anagram, consists of the following: Data aequatione quotcunque fluentes quantitae involvente fluones invenire et vice' versa. In contemporary mathematical language, this means: "It is useful to solve differential equations". At present, the theory of differential equations represents a vast con- glomerate of a great many ideas and methods of different nature, very useful for many applications and constantly stimulating theoretical in- vestigations in all areas of mathematics. Many of the routes connecting abstract mathematical theories to appli- cations in the natural sciences lead through differential equations. Many topics of the theory of differential equations grew so much that they became disciplines in themselves; problems from the theory of differential equations had great significance in the origins of such disciplines as linear algebra, the theory of Lie groups, function
本书将小学一、二年级数学知识点融于具体有趣的故事中,内容寓教于乐,书中精选了适合小学低年级学生的200例趣味数学题,每例又匹配了1-2道尝试练习题。每道例题的分析解答力求通俗易懂,它能教会你怎样动脑子筋,所匹配的尝试练习题,可让你学会如何动脑筋。本书既可供喜欢数学的学生自学奥数之用,也为教师和家长辅导孩子学习数学提供一本比较切合实际的趣味读品。书后附有尝试练习题的解答和提示,仅供学生、家长和教师参考。
《春雨 2015 中国华罗庚学校课本:数学(一年级)》涵盖《课程标准》和《教学大纲》要求,又不拘泥于《标准》与《大纲》;使青少年懂得科学探究的过程,拓展研究成果和思维空间;形成创造性学习的优势,获得可持续发展。 每章创设有探索价值的开放性科学问题,提出重难点所在,指点解决的方法、策略;每节给出教材可用结论,提出拓展的“探究目标”,展示“探究过程”,设计“创新洲练”,让学生参与、体验、发展;每章后的“阶段性复习题”和书末的“竞赛模拟试卷”,倡导学生及时总结,不断提升和超出自我。 《春雨 2015 中国华罗庚学校课本:数学(一年级)》主编与撰稿人均为知名专家和奥林匹克教练,具有长期从事开发3%左右智力超常青少年潜能的经验,善于创设学科背景问题,引导学生探究,走向成功。