Recent content by Muhammad Ali
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Studying Books with a lot of problems but all with solutions
Hi guys, I am eagerly looking for books which contain a lot of problems with complete solutions. Please tell me the name of such books/resources for the following fields. Number theory Abstract Algebra Geometry & Topology Probability I mean books like Calculus Problem Solver or Advanced...- Muhammad Ali
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- Books
- Replies: 4
- Forum: STEM Academic Advising
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High School What are the different symbols used in Mathematics and their meanings?
Can anyone tell me about all the symbols used in Mathematics and there use? or Can anyone tell me about the website where I can find all the symbols used in Mathematics?- Muhammad Ali
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- Mathematics Symbols
- Replies: 4
- Forum: Calculus
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Undergrad Learn Math, Physics & EE Video Lectures Online
Can anyone tell me about the websites where I can find video lectures on different math subjects (especailly vector analysis and function theory ), Physics subjects and Electronic Engineering subjects and download them ?- Muhammad Ali
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- Guidance
- Replies: 2
- Forum: Calculus
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Graduate Understanding Imaginary Magnetic Component
Thesedays I am trying to understand the role and working of complex numbers. Previously, I posted my question here but I could not get the required answer. Rightnow I am reading about a complex numbers in Toronto University's website and there I read a very confusing and irritating statement...- Muhammad Ali
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- Numbers
- Replies: 5
- Forum: Calculus
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Where to Find Beginner to Advanced Quantum Physics Resources Online?
Hallo, Thesedays I am looking for some comprehensive resources for studying Quantum Physics. Since I am not a physicist, I don't have very good understanding for Quantum Physics. I have been searching the internet for Quantum Physics but so far I could find any comprehensive material on...- Muhammad Ali
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- Physics Quantum Quantum physics Resources
- Replies: 2
- Forum: STEM Academic Advising
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Undergrad Need for formal definition of limits
Ok, but I don't understand what we are getting by establishing a correspondence between epsilon and delta. or What is the purpose of constraining the difference of the function 'f(x)' and its limit say 'L' less than epsilon or similarly the difference of any x and 'a' less than delta? What is...- Muhammad Ali
- Post #5
- Forum: Calculus
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Undergrad Need for formal definition of limits
I could not understand the need for the formal definition of limits. When we know that the limit of a function 'f' exists at a point say 'a' if the the function 'f' has both right and left hand limits exist at that point 'a' and equal. Then what is the need for the formal definition, namely...- Muhammad Ali
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- Definition Limits
- Replies: 6
- Forum: Calculus
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Undergrad Understanding formal definition of limits
So far I could not understand the formal definition of limits. I know that limit of a function exists at a point say 'a' if left and right hand limit exist at that point. Then what is the need for the formal definition of limits? Secondly, I am very confused by the...- Muhammad Ali
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- Definition Limits
- Replies: 6
- Forum: Calculus
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Graduate Why Do We Use Vector-Valued Functions in Multi-Dimensional Spaces?
I am learning vector analysis these days. I have some knowledge of the applications of the vector field in the field of Engineering and Astrophysics. I am also aware of the fact that vector field is a function that assigns a unique vector to each point in two or three dimensional space...- Muhammad Ali
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- Fields Vector Vector fields
- Replies: 2
- Forum: Calculus
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Undergrad What is the confusion surrounding complex numbers and their representation?
I am familiar with complex nos. I know about their algebric manipulations, for example. But I could not understand the notion of ´iota´. I know that complex numbers are extremely essential for solving the equation involving cube roots or higher or negative square root of a number. I am also...- Muhammad Ali
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- Complex Confused
- Replies: 1
- Forum: Topology and Analysis
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Graduate Why don't electrons have infinite mass when moving at nearly the speed of light?
According to Einstein, any thing moves or tends to move with or nearly equaly to the velocity of light will have its mass equal to infinity. Therefore my question is that: what is the reason that electrons being matter and moving with velocity nearly equal to light doesnot have mass equal to...- Muhammad Ali
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- Electron Infinite Mass
- Replies: 18
- Forum: Quantum Physics