Mathematics for Engineering Students

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In this video I respond to a question I received from viewer. Their name is Norbi and they are a 2nd year mechatronics engineering student from Hungary. They have had Calculus 1 and Calculus 2 and they are looking for a book that covers mathematics for engineering students. I think a good book is Advanced Engineering Mathematics by Erwin Kreyszig. Do you have any advice or opinions? If so, please leave a comment below.

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As an undergrad, every Prof wants you to buy some book or other. I bought just 2:
- Thomas' "Calculus"
- Kreyszig's "Advanced Engineering Mathematics".

dylanparker
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100% agree. Kreyszig was the book we used for the two semesters of math review during Master’s Mechanical Engineering at Purdue a couple decades ago. Another reason to study Fourier analysis is the numerical implementation in FFT is used everywhere is signal processing. Another topic complex analysis … the complex form of harmonic forcing functions (like a sine wave time history forcing a beam to vibrate) is used to immediately get to magnitude and phase of response… profoundly insightful for applications. Good luck!

alanbaker
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Also entering calc 3 soon starting to self study mostly worried about electricity, light & magnetism physics with calculus which is why I have read 4 chapters, good luck all & congrats on 500k👌💫

WarriorBane
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Yes - I used Kreyszig's "Advanced Engineering Mathematics" to support my B.S. studies in Aerospace Engineering. Thank you for your review and the other listed resources.

davidtindell
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started watching your videos now i cant stop everytime you upload new videos. keep going :D

syedkazmi
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I have had this book and another one called “Engineering Mathematics, K A Stroud” since 1976. Originally published in 1962, it has stood the test of time really

meshackgaolathe
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Good advice. I used Kreyszig for two semesters of engineering mathematics back in the late 1960s: complex variables and linear algebra. I didn't have time to take the other class taught from the book: vector analysis.

JeffRyman
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The same author wrote Introductory Functional Analysis, which is freely available online, and it has solutions to most of the problems. Very accessible too

MathwithMing
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yes, of course, had the 5th edition of this book in 4th or 5th semester and i really enjoyed it :-)

dimitrioskalfakis
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A nice and affordable synthesis of applied math after calculus.

robertovolpi
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Mathematical methods for physics and engineering was the book recommended by a few in YT for learning maths needed for physics.

rahulsubramanian
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My school switched from Kreysig to O'Neil. I was sad. Kreysigs Differential Geometry is available as a Dover reprint.

edwardsmith-rowland
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I wonder if any school still uses "Div, Grad, Curl and all that" as a supplemental text? I liked that one.

byronservies
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I had a course on this book in 1973.

For a Metronic Engineer I would suggest the Youtube channel, Control Bootcamp and his main Youtube channel as well.

The Youtube channel is taught by a Professor from the University of Washington. Very hands on a practical.

There are years of youtube videos including numerical techniques as well as nonlinear control.

The only thing missing is senarios where the motor has finite power and integrator windup.

These youtube videos are years of control theory problems. The professor has a PHD in applied math and there is a rigous math foundation presented.

glennedgar
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Have the same edition that came with a dust cover. Used it as second year calculus a lifetime ago.

kimchee
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My best wishes to the engineering student in Hungary. Kreyszig is a wonderful book and I would like to also suggest a book by Greenberg with the exact same title for an additional reference.

gopalparam
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A superlative maths textbook in engineering science after 50 years since my time as a student. There is one other brilliant textbook on Mathematical Analysis by David Hilbert and Richard Courant for Electrical Engineers and Physics students

richardaguinee
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Standard text for Engineers - “Engineering Mathematics by KA Stroud. And of course the aptly titled sequel “Further Engineering Mathematics”

freespeechisneverwrong
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The length of this video: 1, 1, 2, 3 ...
The Math Sorcerer casts another spell upon us.

douglasstrother
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Been cool if Kreyszig had put a dashed curve image of the natural log under the exponential in the same axis. I think this visual would refresh intuition about nature of these two functions being inversions.

erthx
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