MARC状态：待编 文献类型：电子图书 浏览次数：41
- 题名/责任者:
- From Calculus to Analysis by Steen Pedersen.
- 版本说明:
- 1st ed. 2015.
- 出版发行项:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- ISBN:
- 9783319136417
- 其它标准号:
- 10.1007/978-3-319-13641-7
- 载体形态项:
- XIX, 342 p. 48 illus., 14 illus. in color. online resource.
- 其他载体形态:
- Printed edition: 9783319136424
- 其他载体形态:
- Printed edition: 9783319136400
- 其他载体形态:
- Printed edition: 9783319381367
- 个人责任者:
- Pedersen, Steen. author.
- 附加团体名称:
- SpringerLink (Online service)
- 论题主题:
- Integral equations.
- 论题主题:
- Algebra.
- 论题主题:
- Mathematical analysis.
- 论题主题:
- Analysis (Mathematics).
- 论题主题:
- Integral Equations.
- 论题主题:
- Algebra.
- 论题主题:
- Analysis.
- 内容附注:
- Part I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices.
- 摘要附注:
- This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.
全部MARC细节信息>>