Calculus and Analysis in Euclidean Space
Language: English
Published by Springer 2018-07, 2018
Series: Book 148 of 170 - Undergraduate Texts in Mathematics
- Softcover
- New
Seller: Chiron Media, Wallingford, United KingdomChiron Media
AbeBooks seller since August 2, 2010
Condition: New
£ 58.45
Quantity: 10 available
Add to basketSeller Inventory # 6666-IUK-9783319841304
- Title
- Calculus and Analysis in Euclidean Space
- Author
- Shurman, Jerry
- Publisher
- Springer 2018-07
- Publication year
- 2018
- Condition
- New
- Binding
- PF
- Language
- English
- ISBN 10
- 3319841300
- ISBN 13
- 9783319841304
- Series
- Book 148 of 170: Undergraduate Texts in Mathematics
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."Synopsis" may belong to another edition of this title.
About the Author
"About the title" may belong to another edition of this title.
Chiron Media
Wallingford, United Kingdom
AbeBooks seller since August 2, 2010
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