Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus / Michael Spivak.

By:

Spivak, Michael

Contributor(s):

Material type: Text

TextLanguage: English Publication details: Florida : CRC Press, 2018.Description: xii, 146 p. : ill. ; 22 cmISBN:

9781138329393
1138329398

Uniform titles:

Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

Subject(s):

DDC classification:

23 515 SPI

Contents:

Editor's foreword Preface 1. Functions on Euclidean Space 2. Differentiation 3. Integration 4. Integration on Chain 5. Integration on Manifolds. Bibliography Index

Summary: This little book is especially concerned with those portions of ?advanced calculus? in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Text Books	CUTN Central Library Sciences	Non-fiction	515 SPI (Browse shelf(Opens below))	Available		47624

Biography of the author:
Michael David Spivak (born May 25, 1940) is an American mathematician specializing in differential geometry, an expositor of mathematics, and the founder of Publish-or-Perish Press. Spivak is the author of the five-volume A Comprehensive Introduction to Differential Geometry. In 1964 Spivak received a Ph.D. from Princeton University under the supervision of John Milnor. In 1985 he received the Leroy P. Steele Prize.

Spivak was born in Queens, New York.

Spivak has lectured on elementary physics. Spivak's most recent book, Physics for Mathematicians: Mechanics I, which contains the material that these lectures stemmed from and more, was published on December 6, 2010. Spivak is also the designer of the MathTime Professional 2 fonts which are widely used in academic publishing.

Spivak coined Spivak pronouns, a set of English gender-neutral pronouns.

Bio from Wikipedia, the free encyclopedia.

Editor's foreword
Preface
1. Functions on Euclidean Space
2. Differentiation
3. Integration
4. Integration on Chain
5. Integration on Manifolds.
Bibliography
Index

This little book is especially concerned with those portions of ?advanced calculus? in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

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