From Calculus to Analysis

Undergraduates and some advanced high-school seniors will find this text a useful and pleasant experience in the classroom or as a self-study guide. The only prerequisite is a standard calculus course.

From Calculus to Analysis

This comprehensive textbook is intended for a two-semester sequence in analysis. The first four chapters present a practical introduction to analysis by using the tools and concepts of calculus. The last five chapters present a first course in analysis. The presentation is clear and concise, allowing students to master the calculus tools that are crucial in understanding analysis. From Calculus to Analysis prepares readers for their first analysis course—important because many undergraduate programs traditionally require such a course. Undergraduates and some advanced high-school seniors will find this text a useful and pleasant experience in the classroom or as a self-study guide. The only prerequisite is a standard calculus course.

More Books:

From Calculus to Analysis
Language: en
Pages: 250
Authors: Rinaldo B. Schinazi
Categories: Mathematics
Type: BOOK - Published: 2011-09-25 - Publisher: Springer Science & Business Media

This comprehensive textbook is intended for a two-semester sequence in analysis. The first four chapters present a practical introduction to analysis by using the tools and concepts of calculus. The last five chapters present a first course in analysis. The presentation is clear and concise, allowing students to master the
From Calculus to Analysis
Language: en
Pages: 342
Authors: Steen Pedersen
Categories: Mathematics
Type: BOOK - Published: 2015-03-21 - Publisher: Springer

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
Elementary Analysis
Language: en
Pages: 412
Authors: Kenneth A. Ross
Categories: Mathematics
Type: BOOK - Published: 2013-04-16 - Publisher: Springer Science & Business Media

For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs.
Elementary Analysis
Language: en
Pages: 412
Authors: Kenneth A. Ross
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer

For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs.
Understanding Infinity
Language: en
Pages: 308
Authors: Anthony Gardiner
Categories: Mathematics
Type: BOOK - Published: 2002-01-01 - Publisher: Courier Corporation

Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution