Calculus: An Intuitive and Physical Approach Author: Morris Kline | Language: English | ISBN:
B00CB2MK6C | Format: PDF
Calculus: An Intuitive and Physical Approach Description
Application-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition. Solution guide available upon request.
- File Size: 16496 KB
- Print Length: 960 pages
- Publisher: Dover Publications; Second Edition edition (April 11, 2013)
- Sold by: Amazon Digital Services, Inc.
- Language: English
- ASIN: B00CB2MK6C
- Text-to-Speech: Enabled
X-Ray:
- Lending: Enabled
- Amazon Best Sellers Rank: #47,199 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
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in Kindle Store > Kindle eBooks > Nonfiction > Science > Mathematics > Pure Mathematics > Calculus - #2
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in Books > Science & Math > Mathematics > Pure Mathematics > Calculus
- #2
in Kindle Store > Kindle eBooks > Nonfiction > Science > Mathematics > Pure Mathematics > Calculus - #2
in Kindle Store > Kindle eBooks > Nonfiction > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Calculus - #49
in Books > Science & Math > Mathematics > Pure Mathematics > Calculus
Morris Kline has written a really excellent book here. It is somewhat different from the typical calculus books one reads: there is less formalism and greater apeal to your intuition (hence the title). Kline works hard to ground the book to reality, so is it useful and applicable, rather than just an exercise in superficial algebraic regurgitation as so many others teach calculus to be. This is a work that wants you to understand not only how...but why! This is a truly important approach: because if you understand why, then you understand how and you have the flexibility to really use the calculus. Just knowing how means you loose some of the connection and treat it as a process rather than a tool. This books at times feels deep, like the philosophy of calculus in addition to a howto, not just a perfunctry, dry how-to.
Kline provides realistic examples and focus attention on scientific and practical uses of calculus: eg motion down a inclined plain, projectiles, etc. There are lots of problems in each section. ONly complaint: the answers are a little sparse at times. Generally the problems are robust and a little tricky know and then (this is good! Makes you interpret and apply...not just apply). The literacy components are quite strong in questions. Kline has an excellent teaching pedagogy!
The style of writing is excellent, familiar and warm. Kline write like he is like that smart, cool, friendly lecturer we found once at university and longed for the rest of the time we were there. He clearly loves what he is teaching and wants you to succeed and tries to help you to do so.
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