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jedimath

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Thanks.

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In summary: March of this year.I thought so. If you had you wouldn't have mentioned it. While you are right that it is widely regarded, it is not because it is a good book. It becomes a good book when you are mathematical mature enough.The book is terrible for self-study (really one of the worst books to self-study from if you are new to the material, I tried this some years ago and did not get much out of it). Moreover, the book dives directly into metric spaces and metric space topology which is way too advanced for what the OP needs.I would recommend the OP the book Spivak's book "Calculus". This is a rigorous math textbook and the author

- #1

jedimath

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Thanks.

Physics news on Phys.org

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Could you tell where you are currently and where you want to end up, since I do not know the specific books?jedimath said:

Thanks.

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jedimath

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Galileo and Newton, Maxwell, Noether, Schrödinger or Einstein? If your answer is "all", my next question will be "At which university?"jedimath said:My goal is to understand Physics and study math needed to it.

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jedimath

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Sorry for my english. I use google translate.

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jedimath

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- #8

symbolipoint

Homework Helper

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They are good books but you really should study "elementary" and "intermediate" Algebra, and Trigonometry in order to adequately handle studying Calculus and Physics.jedimath said:

Thanks.

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and FISICA PER LA SCUOLA SUPERIORE from Gerardo Troiano

which both don't look bad. And the first link is a free pdf, so you can simply see how far you get.

In any case you should bookmark PF to ask questions when they occur.

- #10

Mark44

Mentor

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Larson isn't very rigorous, but Halliday (or Halliday & Resnick + another author) is very commonly used in college physics, and has been for many years.jedimath said:I have Larson Calculus and Halliday Fundamentals of physics.

As already noted, you need to have a strong background in algebra and trigonometry to be able to understand calculus. Some geometry doesn't hurt, either. You won't get far in physics without a solid foundation in calculus.jedimath said:I have know some algebra. No geometry and trigonometry :(

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jedimath

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Mark44 said:Larson isn't very rigorous, but Halliday (or Halliday & Resnick + another author) is very commonly used in college physics, and has been for many years.

What Is a rigorous Calculus book? And for algebra Thanks

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Mark44

Mentor

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jedimath said:What Is a rigorous Calculus book?

Don't know. One algebra textbook is probably as good as another.jedimath said:And for algebra

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member 587159

Mark44 said:Principles of Mathematical Analysis, AKA "Baby Rudin," by Walter Rudin is widely regarded.

Can I ask you if you read this book?

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Mark44

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No, I haven't.Math_QED said:Can I ask you if you read this book?

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member 587159

Mark44 said:No, I haven't.

I thought so. If you had you wouldn't have mentioned it. While you are right that it is widely regarded, it is not because it is a good book. It becomes a good book when you are mathematical mature enough. The book is terrible for self-study (really one of the worst books to self-study from if you are new to the material, I tried this some years ago and did not get much out of it). Moreover, the book dives directly into metric spaces and metric space topology which is way too advanced for what the OP needs.

I would recommend the OP the book Spivak's book "Calculus". This is a rigorous math textbook and the author really tries to guide you through the mathematical concepts. There is also a lot of intuition in the book and enough exercises, both computational and theoretical, to really master the material. Whatever your purposes are, either in physics or mathematics, most of the basic material you encounter in this book is essential for going further.

If you have some mathematical maturity, you can also look in the book "The real numbers and real analysis" by E. Block. I read parts out of it, and I especially liked the chapters about the derivative and integral which go further than most texts on these topics do.

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https://www.springer.com/gp/book/9781461462705

Bought in Blackwell's bookshop in Edinburgh in 1982!

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member 587159

PeroK said:

https://www.springer.com/gp/book/9781461462705

Bought in Blackwell's bookshop in Edinburgh in 1982!

I'm not familiar with the text but heard good things about it. Mind elaborating why you recommend this text?

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Math_QED said:I'm not familiar with the text but heard good things about it. Mind elaborating why you recommend this text?

It's got a bright yellow cover.

I think he strikes the right balance between being pedantic about details and not getting bogged down.

It goes at the right pace and has problems from the very easy (assuming you understood the material) to the challenging.

It's well-organised and a good reference.

Specifically, I like the "sequence" formulation of limits.

- #19

member 587159

PeroK said:It's got a bright yellow cover.

I think he strikes the right balance between being pedantic about details and not getting bogged down.

It goes at the right pace and has problems from the very easy (assuming you understood the material) to the challenging.

It's well-organised and a good reference.

Specifically, I like the "sequence" formulation of limits.

Yes, I don't understand why not more textbooks tell something about the connection between limits of sequences and limits of functions. The sequence characterisation of limits makes it often very easy to show that a limit of a function does not exist, while the alternative is an ##\epsilon-\delta##-argument...

The best way to study math and physics is to have a strong foundation in basic concepts and principles. It is also important to practice regularly and continuously review material. Additionally, seeking help from teachers, tutors, or study groups can be beneficial.

This depends on personal learning style and preference. Some students may find it easier to focus on one subject at a time, while others may benefit from studying both subjects simultaneously. It is important to find a study method that works best for you.

Problem-solving skills can be improved by practicing regularly and attempting a variety of problems. It is also helpful to break down problems into smaller, more manageable steps and to understand the underlying concepts and principles behind the problem.

There are many resources available, such as textbooks, online lectures, and study guides, that can help with understanding difficult concepts. Additionally, using visualization techniques, such as drawing diagrams or creating models, can aid in understanding abstract concepts.

One way to stay motivated is to set achievable goals and track your progress. It can also be helpful to take breaks and reward yourself for completing tasks. Additionally, finding a study partner or joining a study group can provide support and accountability.

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