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From Calculus to Analysis

2015-03-21 Mathematics
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Release : 2015-03-21
Genre : Mathematics
Kind : eBook
Book Rating : 410/5 ( reviews)

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Book Synopsis From Calculus to Analysis by : Steen Pedersen

Download or read book From Calculus to Analysis written by Steen Pedersen. This book was released on 2015-03-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Calculus to Analysis

2011-09-25 Mathematics
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Release : 2011-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 899/5 ( reviews)

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Book Synopsis From Calculus to Analysis by : Rinaldo B. Schinazi

Download or read book From Calculus to Analysis written by Rinaldo B. Schinazi. This book was released on 2011-09-25. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Calculus and Analysis II/1

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 492/5 ( reviews)

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Book Synopsis Introduction to Calculus and Analysis II/1 by : Richard Courant

Download or read book Introduction to Calculus and Analysis II/1 written by Richard Courant. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991

Elementary Analysis

2014-01-15 Mathematics
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Release : 2014-01-15
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Elementary Analysis by : Kenneth A. Ross

Download or read book Elementary Analysis written by Kenneth A. Ross. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus and Analysis in Euclidean Space

2016-11-26 Mathematics
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Release : 2016-11-26
Genre : Mathematics
Kind : eBook
Book Rating : 140/5 ( reviews)

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Book Synopsis Calculus and Analysis in Euclidean Space by : Jerry Shurman

Download or read book Calculus and Analysis in Euclidean Space written by Jerry Shurman. This book was released on 2016-11-26. Available in PDF, EPUB and Kindle. Book excerpt: The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of geometric intuition (the visual cortex being quickly instinctive) algebraic manipulation (symbol-patterns being precise and robust) incisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject). Thinking in these ways renders mathematics coherent, inevitable, and fluid. The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs.

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