Plan of Attack for 1st Year Math Undergraduate: Advice Requested

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Discussion Overview

The discussion revolves around advice for a first-year mathematics undergraduate seeking guidance on study materials and strategies to fill knowledge gaps in mathematics and physics. The scope includes theoretical and applied mathematics, as well as foundational physics concepts.

Discussion Character

  • Exploratory
  • Homework-related
  • Conceptual clarification

Main Points Raised

  • One participant expresses a desire to fill gaps in calculus and proposes using David V. Widder's "Advanced Calculus" for practice.
  • The same participant mentions plans to study "Mathematical Methods" by Riley, Hobson, and Bence, along with Arfken's book, focusing on chapters 1 to 8.
  • They also intend to explore classical dynamics through Thornton & Marion and Kibble & Berkshire's texts, with an interest in Lagrangian dynamics.
  • A participant raises a question about the suitability of Shilov's "Linear Algebra" and Kolmogorov & Fomin's "Introductory Real Analysis" for their current level.
  • The participant notes a quantum mechanics textbook by Alastair Rae and plans to cover special relativity using Thornton and Goldstein.
  • Another participant inquires about the research focus of the original poster and the type of physics they plan to pursue.
  • The original poster clarifies they are not involved in research and emphasizes the importance of mathematics for their intended focus on the mathematical and theoretical aspects of physics.

Areas of Agreement / Disagreement

The discussion does not present a consensus, as participants have varying perspectives on the appropriateness of the proposed study materials and the workload involved.

Contextual Notes

Participants express uncertainty about the feasibility of the proposed study plan and the appropriateness of certain texts for a first-year undergraduate level.

loonychune
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Hello all.
Would first like to compliment the forums - absolutely smashin. Good job.

I have read quite a bit on here about suggested reading and what-not, but if you have the time, i'd appreciate any advice as to where to go from here and whether I'm heading along the right lines.

Given this year's laziness (i'm a first year undergraduate), there a some fairly elementary gaps need filling, but in addition to that i am looking to work along these lines / from these books:

David V. Widder - Advanced Calculus: I think this will fill in some gaps in calculus and give me the chance to practise properly.
Riley, Hobson, Bence - Mathematical Methods
+ Arfken's book: i'll probably work through Arfken from chapters 1 to about 8 give or take certain bits and bobs, with R.H.B. to supplement this structure / provide questions..
Thornton & Marion and Kibble & Berkshire's books on classical dynamics: i will look at where i stand with mechanics and make solid what i know and learn a bit beyond that, probably just whatever i enjoy + lagrangian dynamics
A.F. Beardon - Algebra & Geometry - a first year maths undergraduate book, will be good maths practise and put me in good stead for (at some point):

Shilov - Linear Algebra (have you ever heard of this / have any ideas?)
Kolmogorv & Fomin - Introductory Real Analysis (heard of this either? it's probably beyond me for a good year or 2 yet but it's there waiting)

I also have a quantum mechanics textbook by Alastair Rae i'll spend a day or 2lookin at and will cover special relativity using Thornton and Goldstein...
It might well sound like an awful lot, but it isn't really, given that i have 3 months spare and probably won't be looking at a great deal of difficult new material...

My apologies for the dryness of this post, however any advice, elaboration, wouldn't go a miss..

(oh and when is it worth investing in Jackson's Classical Electrodynamics... I'm working through Electromagnetism by Grant & Phillips so i was wondering whether Jackson would become accessible on finishing with this ?)
 
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70 views and not a reply; perhaps if i make it shorter?
 
What research are you involved in? What type of physics do you plan on doing?
 
I'm not involved in any research - i am just coming to the end of my first year of undergraduate study.. so the workload i have put across will probably be deemed too much, but i deem maths SO VERY important and...
...that is what i plan on doing! The mathematical / theoretical aspects of physics... that's vague, but probably about as clued up i am right now...
 

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