Mechanical engineering_Mathematics

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For mechanical engineering students seeking a comprehensive calculus resource, Apostol's two "Calculus" books are highly recommended for their balance of computational techniques and formal proofs. Additionally, Apostol's "Mathematical Analysis" is suggested for those looking to deepen their understanding. For students needing a book with step-by-step problem solutions, it is advised to explore various calculus texts available in libraries to find one that meets their learning style and needs.
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:smile: Sir/Madam, What is the most important and good calculus mathematics book for Mechanical engineering. Please Tell me i am dilema which book i have to buy?
 
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I would go for the two "Calculus" books by Apostol. They strike the right balance between computational techniques and formal proofs. Apostol has also published an analysis book "Mathematical Analysis" that I also recommend.
 
Goldbeetle said:
I would go for the two "Calculus" books by Apostol. They strike the right balance between computational techniques and formal proofs. Apostol has also published an analysis book "Mathematical Analysis" that I also recommend.

Sir i need Mathematical book of each and every problem solution is present in step by step which is easily understand by students. Is there any book like that?
 
Check out Calculus in a library and see if it fits your needs.
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...
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