# Calculus, vol 2 - Multi Variable Calculus and Linear Algebra With Applications to Differen

#### Category: Uncategorized

Posted on 2010-02-05. By anonymous.

Description

**Calculus, vol 2 - Multi Variable Calculus and Linear Algebra With Applications to Differential Equation and Probability**

by Tom M. Apostol

by Tom M. Apostol

This book is a continuation of the author’s Calculus, Volume I, Second Edition. The

present volume has been written with the same underlying philosophy that prevailed in the

first. Sound training in technique is combined with a strong theoretical development.

Every effort has been made to convey the spirit of modern mathematics without undue

emphasis on formalization. As in Volume I, historical remarks are included to give the

student a sense of participation in the evolution of ideas.

The second volume is divided into three parts, entitled Linear Analysis, Nonlinear

Ana!ysis, and Special Topics. The last two chapters of Volume I have been repeated as the

first two chapters of Volume II so that all the material on linear algebra will be complete

in one volume.

Part 1 contains an introduction to linear algebra, including linear transformations,

matrices, determinants, eigenvalues, and quadratic forms. Applications are given to

analysis, in particular to the study of linear differential equations. Systems of differential

equations are treated with the help of matrix calculus. Existence and uniqueness theorems

are proved by Picard’s method of successive approximations, which is also cast in the

language of contraction operators.

Part 2 discusses the calculus of functions of several variables. Differential calculus is

unified and simplified with the aid of linear algebra. It includes chain rules for scalar and

vector fields, and applications to partial differential equations and extremum problems.

Integral calculus includes line integrals, multiple integrals, and surface integrals, with

applications to vector analysis. Here the treatment is along more or less classical lines and

does not include a formal development of differential forms.

The special topics treated in Part 3 are Probability and Numerical Analysis. The material

on probability is divided into two chapters, one dealing with finite or countably infinite

sample spaces; the other with uncountable sample spaces, random variables, and distribution

functions. The use of the calculus is illustrated in the study of both one- and

two-dimensional random variables.

The last chapter contains an introduction to numerical analysis, the chief emphasis

being on different kinds of polynomial approximation. Here again the ideas are unified

by the notation and terminology of linear algebra. The book concludes with a treatment of

approximate integration formulas, such as Simpson’s rule, and a discussion of Euler’s

summation formula.

**PDF | 696 pages | 12.5 MB**

Code:

http://hotfile.com/dl/10511821/eaaf97b/Apostol_-_Calculus_Vol_2_-_Multivariable_Calculus_and_Linear_Algebra_with_applications_to_Differential_Equations_and_Probability_(Wiley_2nd_ed_1969).pdf.html

Sponsored High Speed Downloads

6308 dl's @ 2419 KB/s

**Calculus, vol 2 - Multi Variable Calculus and Linear Algebra With ...**[Full Version]

5076 dl's @ 3480 KB/s

**Calculus, vol 2 - Multi Variable Calculus and Linear Algebra With ...**- Fast Download

7186 dl's @ 2799 KB/s

**Calculus, vol 2 - Multi Variable Calculus and Linear Algebra With ...**- Direct Download

Search More...

**Calculus, vol 2 - Multi Variable Calculus and Linear Algebra With Applications to Differen**

Links

Download this book

**Free Download "Calculus, vol 2 - Multi Variable Calculus and Linear Algebra With Applications to Differen"**

**Download Link 2**

No active download links here?

Please check the description for download links if any or do a search to find alternative books.Related Books

- Ebooks list page : 4564
- 2011-10-06
*Calculus*,*Vol*. 2:*Multi*-*Variable Calculus and Linear Algebra with Applications* - 2011-10-04
*Calculus*,*Vol*. 2:*Multi*-*Variable Calculus and Linear Algebra with Applications* - 2010-06-15
*Calculus*,*Vol*. 2:*Multi*-*Variable Calculus and Linear Algebra with Applications* - 2009-07-25
*Calculus*,*Vol*. 2:*Multi*-*Variable Calculus and Linear Algebra with Applications*(Repost) - 2008-12-06
*Calculus*,*Vol*. 2:*Multi*-*Variable Calculus and Linear Algebra with Applications*(Reupload) - 2013-07-07
*Calculus and Linear Algebra*,*Vol*. 2: Vector Spaces, Many-*Variable Calculus*,*and*Differential Equations (repost) - 2013-07-07
*Calculus and Linear Algebra*,*Vol*. 2: Vector Spaces, Many-*Variable Calculus*,*and*Differential Equations (repost) - 2011-02-18
*Calculus Multi Variable Calculus and Linear Algebra*by Apostol - 2012-01-21
*Calculus and Linear Algebra*,*Vol*. 2 by Wilfred Kaplan - Wilfred Kaplan - 2012-01-19
*Calculus and Linear Algebra*,*Vol*. 2 by Wilfred Kaplan - Wilfred Kaplan - 2012-01-17
*Calculus and Linear Algebra*. Volume 1: Vectors in the Plane*and*One-*Variable Calculus*- Donald J. Lewis - 2012-01-13
*Calculus and Linear Algebra*,*Vol*. 2 by Wilfred Kaplan (Repost) - 2011-07-11
*Calculus and Linear Algebra*,*Vol*. 2 - 2011-07-08Apostol T.M. -
*Calculus and linear algebra*.*Vol*. 2 (Wiley)(696s).djvu {repost - mediafire link} - 2011-07-08Apostol T.M. -
*Calculus and linear algebra*.*Vol*. 1. 2ed (Wiley ... {repost - mediafire link} - 2011-06-23
*Calculus and Linear Algebra*,*Vol*. 2 by Wilfred Kaplan - 2011-06-23
*Calculus and Linear Algebra*,*Vol*. 2 by Wilfred Kaplan - 2010-10-13
*Calculus and Linear Algebra*. Volume 2: Vector Spaces, Many-*Variable Calculus*,*and*Differential Equations - 2010-02-02
*Calculus and Linear Algebra*. Volume 1: Vectors in the Plane*and*One-*Variable Calculus*

Comments

**No comments for "Calculus, vol 2 - Multi Variable Calculus and Linear Algebra With Applications to Differen"**.

Add Your Comments

- Download links and password may be in the description section, read description carefully!
- Do a search to find mirrors if no download links or dead links.