Looking for documents that explain physical meaning of math

• Nov 21, 2004

• #1

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HINDI

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PHYSICAL MEANING

HI, I want to study the math in a correct way , i mean that i want to be able to explain the phsycal meaning of the equations or model a problem .

So is there any one who has a good material that explines the physical meaning .
SPECIALY in quantum mechanics .
thanks

 

• Nov 22, 2004

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DrDolittle

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Re: PHYSICAL MEANING

Feynman's "lectures on physics" would help you.Math required for physics are dealt with their physical interpretations.

Regards
drdolittle

 

• Nov 22, 2004

• #3

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HINDI

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Re: PHYSICAL MEANING

HI DrDolittle

DO YOU MEAN THESE LECTUERS :

https://mafihe.hu/~bnc/feynman/Volume_1/

 

• Nov 22, 2004

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DrDolittle

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Re: PHYSICAL MEANING

Exactly,try downloading all the three volumes.

For Partial differential Equations,try "Partial Differential Equations" by Ian Sneddon.Iam sure that this book will be awe inspiring and will help you by all means.Because this has less mathematics and more literature about the equation's significance.

regards
Drdolittle

 

• Nov 22, 2004

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HINDI

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Re: PHYSICAL MEANING

THANKS FOR HELP , BUT WHERE CAN IDOWNLOAD THIS BOOK
"Partial Differential Equations" by Ian Sneddon

DO YOU KNOW ANY WEB ADDRESS TO GET THIS BOOK FREE

 

• Nov 22, 2004

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DrDolittle

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Re: PHYSICAL MEANING

Iam sorry,i don't have the link for sneddon either.Even i have made many posts in want of that book.We will search together,whoever gets it first we will make sure to share that

There is a book named "Differential calculus and Analytical geomentry" by Thomas/Finny.This may also help you.you can find the above 2 fields are entangled.

Regards
drdolittle

 

• Dec 2, 2004

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cedance

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Re: PHYSICAL MEANING

HINDI said:

THANKS FOR HELP , BUT WHERE CAN IDOWNLOAD THIS BOOK
"Partial Differential Equations" by Ian Sneddon

DO YOU KNOW ANY WEB ADDRESS TO GET THIS BOOK FREE

Click to expand...

in my opinion this book is one of the best!!! to start with.. its matrix analysis... here s the link...

/h//p://

/cedance

 

• Dec 3, 2004

• #8

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sifeddin

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PHYSICAL MEANING

Well if i get you right you want to study the mathematics with a physics viewpoint. This is very wide spectrum. My advice is that you should study the maths really abstract within the math courses and extract the physics out of it in each physics course. E.g. you may study how to know Hermitian matrix and what that condition means in matrix course and then apply that concept to the measurable matrix quantum operator in QM course. Sometimes one find a subtle math concept or condition is the solution to his ohysics problem but the cocern with physics in the maths class may waste your time

good luck

 

• Dec 3, 2004

• #9

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masai_mara

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Re: PHYSICAL MEANING

Hindi,
Your intention of learning math is understandable. But I have to say that if you insist on having a physical significance or interpretation to every equation you will be stuck at the fundamental level. mathematics is a tool that helps understand nature but isnt constrained by it. it can have its own creations irrespective of reality. Though its true that most processes in the physical world can be represented by mathematical equations, quantum mechanics is not so closely related to our intuitions of physical reality and if you want to comprehend it you have to be ready to leave the reality aspects behind and learn to understand the abstractions of mathematics.

 

• Dec 4, 2004

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DrDolittle

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Re: PHYSICAL MEANING

I dont accede to your statements.As per pythogorous "I see this whole world as numbers",accentuating upon the knowledge of physical interpretations of all equations is quintessential.

Regrads
drdolittle

 

• Dec 4, 2004

• #11

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chirkut_iis

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Re: PHYSICAL MEANING

Also, you might want to try Math methods in Physics by mary L. Boas. Old book, but explains things applied to physics and more at an intuitive level.
C

 

• Dec 12, 2004

• #12

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DrDolittle

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Re: PHYSICAL MEANING

Hey i have recently borrowed a book from my library.

Ordinary differential equations by arnol,springer.This book is easy to acquire.Try this which emphasizes upon geometrical properties of Differential equations which is more coveted by you.

Regards
drdolittle

 

• Dec 12, 2004

• #13

nalino

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Re: PHYSICAL MEANING

HINDI,

Try this book...I'm not sure whether this helps you or
not...

https://www.ams.org/online_bks/surv49/
"Monotone Operators in Banach Space and Nonlinear Partial Differential Equations"

by R.E. Showalter

Publication Date: 1997
Number of pages: 278 pp.
Publisher: AMS
ISBN 0-8218-3193-3
SURV/49.E