From the reviews: "The book is intended for undergraduate students and beginning graduate students of mathematics. It can be used in the classroom or as a self-study guide. ... The text is organized in a classical way, each section is followed by a set of questions that stimulate the reader to think about the deeper nature of definitions or the background of theorems and exercises, which vary from routine to simple proofs." (Vladimir Janis, Zentralblatt MATH, Vol. 1236, 2012)

• Real Number System.- Sequences: Convergence and Divergence.- Limits, Continuity, and Differentiability.- Applications of Differentiability.- Series: Convergence and Divergence.- Definite and Indefinite Integrals.- Improper Integrals and Applications of Riemann Integrals.- Power Series.- Uniform Convergence of Sequences of Functions.- Fourier Series and Applications.- Functions of Bounded Variation and Riemann-Stieltjes Integrals.- References.- Index of Special Notations.- Hints for Selected Questions and Exercises.- Index.

From the reviews: "The book is intended for undergraduate students and beginning graduate students of mathematics. It can be used in the classroom or as a self-study guide. ... The text is organized in a classical way, each section is followed by a set of questions that stimulate the reader to think about the deeper nature of definitions or the background of theorems and exercises, which vary from routine to simple proofs." (Vladimir Janis, Zentralblatt MATH, Vol. 1236, 2012)

• Real Number System.- Sequences: Convergence and Divergence.- Limits, Continuity, and Differentiability.- Applications of Differentiability.- Series: Convergence and Divergence.- Definite and Indefinite Integrals.- Improper Integrals and Applications of Riemann Integrals.- Power Series.- Uniform Convergence of Sequences of Functions.- Fourier Series and Applications.- Functions of Bounded Variation and Riemann-Stieltjes Integrals.- References.- Index of Special Notations.- Hints for Selected Questions and Exercises.- Index.

From the reviews: "The book is intended for undergraduate students and beginning graduate students of mathematics. It can be used in the classroom or as a self-study guide. ... The text is organized in a classical way, each section is followed by a set of questions that stimulate the reader to think about the deeper nature of definitions or the background of theorems and exercises, which vary from routine to simple proofs." (Vladimir Janis, Zentralblatt MATH, Vol. 1236, 2012)

• Real Number System.- Sequences: Convergence and Divergence.- Limits, Continuity, and Differentiability.- Applications of Differentiability.- Series: Convergence and Divergence.- Definite and Indefinite Integrals.- Improper Integrals and Applications of Riemann Integrals.- Power Series.- Uniform Convergence of Sequences of Functions.- Fourier Series and Applications.- Functions of Bounded Variation and Riemann-Stieltjes Integrals.- References.- Index of Special Notations.- Hints for Selected Questions and Exercises.- Index.