Need a math text book recomendation

[ms244]

I have my qualifier on monday, on the old exams I have it states that I am allowed a math text book of my choice.

Would someone here perhaps know of a good reference I could use? It should cover the following.

Taylor and other series derivations

Directional derivates and vectors

Comprehensive laplace table

ODE of all sorts

Eigenvalues and vectors

Matricies

Linear Algebra

Lagrange Methods

Newton's Method

Um, probably some other stuff I'm missing

 

[65535]

Originally Posted by ms244

I have my qualifier on monday, on the old exams I have it states that I am allowed a math text book of my choice.

Would someone here perhaps know of a good reference I could use? It should cover the following.

Taylor and other series derivations

Directional derivates and vectors

Comprehensive laplace table

ODE of all sorts

Eigenvalues and vectors

Matricies

Linear Algebra

Lagrange Methods

Newton's Method

Um, probably some other stuff I'm missing

It will be difficult to find a single book that encompasses all that,

The first set you list is related to vector calculus and differential equations.

Matrices might be represented but it will be sparse. lagrange/newton's method might be skimmed over, but you'll want a real numerical methods book for that.

I have Cullen's Advanced Engineering Mathematics. It's pretty badly written but it touches on most of the things you mention.


http://books.google.ca/books?id=x7uW...mbnail#PPR9,M1

 

[ms244]

I think it will be focused more on the latter part of undergrad math, so it should reflect that with perhaps the stuff that was in calc 3 and diff equations being more prevalent.

I emailed the guy who is in charge of the math portion of the exam but he is out on travel. Must be nice.

 

[65535]

Click the link, it has the complete table of contents.

Best bet is an engineering-level math book, because all you mentioned are tools we use regularly, so most if not all should be covered. Stay away from basic calculus or mathematician level tomes.

 

[Huntsman]

Perhaps Edwards and Penney's "Differential Equations and Linear Algebra" as it at least briefly treats all those topics IIRC, having both the Calc end as well as the Matrix stuff. Runge-Kutta, too. I used it in my Linear Methods/DiffEq mashup course that was post Calc III. http://wps.prenhall.com/esm_edwards_...-/t/index.html

 

[tiecollector]

Make your own textbook of color copies and have it bound.

 

[leftover_salmon]

I agree with Zill-Cullen's Advanced Engineering Mathematics. Pretty sure it hits everything you need.

 

[injung]

Is there even a book that covers all those subjects? When I took those classes we had 400 page books just for each of the things you mentioned.

 

[leftover_salmon]

Yes. It's called "Advanced Engineering Mathematics" by Zill and Cullen.

 

[Merlino]

In college I used this book for my first couple math courses: http://www.amazon.co.uk/Mathematical.../dp/0199249725 I really don't remember whether it covered all of the topics you mentioned, though.

 

[T4phage]

I don't know if it is still printed, but my highschool math text, a two book set covers what you listed and more.
Mathematics: the core course for A level
Further pure Mathematics

Both by Bostock and Chandler

 

[Joel_Cairo]

Originally Posted by ms244

I have my qualifier on monday, on the old exams I have it states that I am allowed a math text book of my choice.

Would someone here perhaps know of a good reference I could use? It should cover the following.

Taylor and other series derivations

Directional derivates and vectors

Comprehensive laplace table

ODE of all sorts

Eigenvalues and vectors

Matricies

Linear Algebra

Lagrange Methods

Newton's Method

Um, probably some other stuff I'm missing

Originally Posted by 65535

It will be difficult to find a single book that encompasses all that,

The first set you list is related to vector calculus and differential equations.

Matrices might be represented but it will be sparse. lagrange/newton's method might be skimmed over, but you'll want a real numerical methods book for that.

I have Cullen's Advanced Engineering Mathematics. It's pretty badly written but it touches on most of the things you mention.


http://books.google.ca/books?id=x7uW...mbnail#PPR9,M1

Originally Posted by ms244

I think it will be focused more on the latter part of undergrad math, so it should reflect that with perhaps the stuff that was in calc 3 and diff equations being more prevalent.

I emailed the guy who is in charge of the math portion of the exam but he is out on travel. Must be nice.

Originally Posted by 65535

Click the link, it has the complete table of contents.

Best bet is an engineering-level math book, because all you mentioned are tools we use regularly, so most if not all should be covered. Stay away from basic calculus or mathematician level tomes.

Originally Posted by Huntsman

Perhaps Edwards and Penney's "Differential Equations and Linear Algebra" as it at least briefly treats all those topics IIRC, having both the Calc end as well as the Matrix stuff. Runge-Kutta, too. I used it in my Linear Methods/DiffEq mashup course that was post Calc III.

http://wps.prenhall.com/esm_edwards_...-/t/index.html

Originally Posted by tiecollector

Make your own textbook of color copies and have it bound.

Originally Posted by leftover_salmon

I agree with Zill-Cullen's Advanced Engineering Mathematics. Pretty sure it hits everything you need.

Originally Posted by injung

Is there even a book that covers all those subjects? When I took those classes we had 400 page books just for each of the things you mentioned.

Originally Posted by leftover_salmon

Yes. It's called "Advanced Engineering Mathematics" by Zill and Cullen.

Originally Posted by Merlino

In college I used this book for my first couple math courses:

http://www.amazon.co.uk/Mathematical.../dp/0199249725

I really don't remember whether it covered all of the topics you mentioned, though.

Originally Posted by T4phage

I don't know if it is still printed, but my highschool math text, a two book set covers what you listed and more.
Mathematics: the core course for A level
Further pure Mathematics

Both by Bostock and Chandler

NERD ALERT

 

[Huntsman]

Yeah, but we rock it hard.

 

[65535]

Originally Posted by Joel_Cairo

NERD ALERT


i lol'd

 

[leftover_salmon]

Call it uber-nerdy that I know this, but isn't 65535 a Mersenne number?