Introduction to calculus and classical analysis
- 作者： Hijab, Omar, author.
- 其他作者：
- 其他題名：
- Undergraduate texts in mathematics.
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 版本：Fourth edition.
- 叢書名： Undergraduate texts in mathematics,
- 主題： Calculus. , Mathematical analysis. , Mathematics. , Approximations and Expansions. , Sequences, Series, Summability. , Special Functions. , Combinatorics.
- ISBN： 9783319284002 (electronic bk.) 、 9783319283999 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Preface -- A Note to the Reader -- 1. The Set of Real Numbers -- 2. Continuity -- 3. Differentiation -- 4. Integration -- 5. Applications -- 6. Generalizations -- A. Solutions -- References -- Index.
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讀者標籤：
- 系統號： 005359673 | 機讀編目格式
館藏資訊
This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material. Some features of the text include: The text is completely self-contained and starts with the real number axioms; The integral is defined as the area under the graph, while the area is defined for every subset of the plane; There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; and There are 385 problems with all the solutions at the back of the text.