mm-2259 === Subject: Re: Please advise! what kind of training I am lackfor math? >So I am at a very akward stage now: if give me undergraduate math to read, I >feel too easy and boring, if give me difficult math to read as those in >Information Theory Transactions, I feel dizzy... >Can anybody recommend some procedures/reference books to give me a treatment >for my current sickness? Can anybody give a booklist that any big guy in the >field would recommend as a must-read as a systematic treatment to math for >researchers in math-related engineering/science area? > Graham, Knuth, and Patashnik's CONCRETE MATHEMATICS comes to mind. > Also, Oppenheim's SIGNALS AND SYSTEMS. > --gregbo > gds at best dot com We had studied Oppenheim's book in undergraduate, maybe I did not study it well or fully understand it... :=) But Knuth's book seems a good one, I will go and take a look! === Subject: Re: Please advise! what kind of training I am lackfor math? > So I am at a very akward stage now: if give me undergraduate math to read, I > feel too easy and boring, if give me difficult math to read as those in > Information Theory Transactions, I feel dizzy... > I don't know about information theory, but I did once take an intro class > on real analysis. I find that to be a great aid in reading contemporary > Rune You said it. After reading your experience, I now more positively think that real analysis should be able to cure my sickness. I heard it many times, but was not very sure that I should select this one to take out of those many -Walala === Subject: Re: Please advise! what kind of training I am lackfor math? > I have long been headache about this problem... please help me! let me try > to explain my problem to you: > For years I have been headache about reading math notations. A concept, if > it is put in straightforward way, I can understand. But if it is put in a > math notation, or even advanced math notation, I will feel dizzy when I read > it. I cannot avoid feeling dizzy if I meet math formulars having more than 3 > lines. But I am in graduate school and must accquaint myself with maths. For > some reason, in my research field, information theory and signal processing, > if there is no math, the research may be regarded as low quality; hence high > quality journals are full of maths. I can never fully understand a paper > full of maths. > I guess my problem is my lack of exposure to math and lack of systematical > education in math. I thought I will be a programmer and all my past time was > devoted to programming. But later I found programming is kind boring so I > end up need to use math. > In fact I am quite good in terms of grades in math classes; but I have only > studied very few math courses: calculas, linear algebra, complexity > analysis, probability, all in undergraduate and introductory graduate level. > So I am at a very akward stage now: if give me undergraduate math to read, I > feel too easy and boring, if give me difficult math to read as those in > Information Theory Transactions, I feel dizzy... > Can anybody recommend some procedures/reference books to give me a treatment > for my current sickness? Can anybody give a booklist that any big guy in the > field would recommend as a must-read as a systematic treatment to math for > researchers in math-related engineering/science area? > -Walala very helpful, since many of you had already passed succesfully the headache stage and got your degree! I guess more specifically what I am asking is how to train myself to read/understand advanced/complicated/rigorous math to avoid feeling dizzy when reading math for more than 3 lines and how to think in math and write rigorous math... something like that... Reading the IEEE transaction on Information Theory made me very depressed... I wonder why those authors are so genious that they can invent theorem by theorem, lemma by lemma, ... Have a great weekend to you all! -Walala