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- Rinaldo B. Schinazi |
- 2018 |
- pdf |
- 2.01MB |

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metri...

- Xiaochang Wang |
- 2018 |
- pdf |
- 2.16MB |
- 217pages

This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the author’s approach is unique in that it combines elements from both Royden’s and Folland’s classic texts to provide a more concise and intuitive presentation. Il...

- William Dunham |
- 2018 |
- pdf |
- 4.27MB |
- 257pages

More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth c...

- Sudhir R. Ghorpade, Balmohan V. Limaye |
- 2018 |
- pdf |
- 6.91MB |
- 547pages

Offering a unified exposition of calculus and classical real analysis, this textbook presents a meticulous introduction to single‐variable calculus. Throughout, the exposition makes a distinction between the intrinsic geometric definition of a notion and its analytic characterization, establishing firm foundations for topics oft...

- Rajnikant Sinha |
- 2018 |
- pdf |
- 4.27MB |
- 645pages

This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis tha...

- Armin Iske |
- 2018 |
- pdf |
- 5.09MB |
- 363pages

This textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role....

- Alessandro Fonda |
- 2018 |
- epub |
- 13.15MB |
- 232pages

This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more general than Lebesgue's in RN, but its construction is rather simple, since it makes use of Riemann sums which, being geometrically viewable and easy to understand. The theo...

- Alessandro Fonda |
- 2018 |
- pdf |
- 3.10MB |

This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more general than Lebesgue's in RN, but its construction is rather simple, since it makes use of Riemann sums which, being geometrically viewable and easy to understand. The theo...

- А.А.Никитин, В.В.Фомичев |
- 2018 |
- pdf |
- 22.12MB |

- А.А.Никитин, В.В.Фомичев |
- 2018 |
- djvu |
- 6.26MB |
- 472pages