# Learning quant quickly? My review of FREE Multivariable Calculus By George Cain & James Herod

(Last Updated On: August 11, 2011)

Learning quant quickly? My review of Â FREE Multivariable Calculus By George Cain & James Herod

So In finished reading this Multivariate Calculus book

http://quantlabs.net/labs/quant-books/doc_details/800-multivariable-calculus?tmpl=component

It seems this book is really designed for more advanced calculus users as there are some assumptions of knowledge. Still it is a very good resource if you trying to learn quant, but when your head is spinning after Paul WIlmott or John Hull,Â  this would be a good resource to understand some of the calculus terminology thrown around. If you still donâ€™t get it (like me), you may want to further investigate on good YouTube channels (like Khan Academy) some of the key terms listed below from the bookâ€™s table of contents:

Chapter One – Euclidean Three Space

1.1 Introduction

1.2 Coordinates in Three-Space

1.3 Some Geometry

1.4 Some More Geometry–Level Sets

Chapter Two – Vectors–Algebra and Geometry

2.1 Vectors

2.2 Scalar Product

2.3 Vector Product

Chapter Three – Vector Functions

3.1 Relations and Functions

3.2 Vector Functions

3.3 Limits and Continuity

Chapter Four – Derivatives

4.1 Derivatives

4.2 Geometry of Space Curves–Curvature

4.3 Geometry of Space Curves–Torsion

4.4 Motion

Chapter Five – More Dimensions

5.1 The space Rn

5.2 Functions

Chapter Six – Linear Functions and Matrices

6.1 Matrices

6.2 Matrix Algebra

Chapter Seven – Continuity, Derivatives, and All That

7.1 Limits and Continuity

7.2 Derivatives

7.3 The Chain Rule

Chapter Eight – f:Rn-â€º R

8.1 Introduction

8.2 The Directional Derivative

8.3 Surface Normals

8.4 Maxima and Minima

8.5 Least Squares

8.6 More Maxima and Minima

8.7 Even More Maxima and Minima

Chapter Nine – The Taylor Polynomial

9.1 Introduction

9.2 The Taylor Polynomial

9.3 Error

Supplementary material for Taylor polynomial in several variables.

Chapter Ten – Sequences, Series, and All That

10.1 Introduction

10.2 Sequences

10.3 Series

10.4 More Series

10.5 Even More Series

10.6 A Final Remark

Chapter Eleven – Taylor Series

11.1 Power Series

11.2 Limit of a Power Series

11.3 Taylor Series

Chapter Twelve – Integration

12.1 Introduction

12.2 Two Dimensions

Chapter Thirteen – More Integration

13.1 Some Applications

13.2 Polar Coordinates

13.3 Three Dimensions

Chapter Fourteen – One Dimension Again

14.1 Scalar Line Integrals

14.2 Vector Line Integrals

14.3 Path Independence

Chapter Fifteen – Surfaces Revisited

15.1 Vector Description of Surfaces

15.2 Integration

Chapter Sixteen – Integrating Vector Functions

16.1 Introduction

16.2 Flux

Chapter Seventeen – Gauss and Green

17.1 Gauss’s Theorem

17.2 Green’s Theorem

17.3 A Pleasing Application

Chapter Eighteen – Stokes

18.1 Stokes’s Theorem

18.2 Path Independence Revisited

Chapter Ninteen – Some Physics

19.1 Fluid Mechanics

19.2 Electrostatics

George Cain & James H

Of course some of the topics do apply to quant but others do not so you can omit what you donâ€™t want to read.

Now I got to read that 1000 page linear algebra book now I would probably start with this before even touching the above calculus book. There is some mention of algebra as well s that confusing math manipulation I can never get.

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