1. First you need to learn how to learn advanced mathematics. Learning mathematics can be challenging without a good foundation on how to learn mathematics. A good book to read before starting is "How to Learn Advanced Mathematics" by Nicholas DeWaal. (See www.discoveringmath.com)
2. Once you learn how to learn, then all you have to do is begin reading textbooks in advanced mathematics starting first with lower level prerequisites such as basic logic, set theory, linear algebra and calculus. Schaum's outlines of these subject tend to be easier to read.
3. After learning the basics in step (2), you are ready to learn more advanced subjects such as topology, real analysis, number theory, differential equations etc.
For most school mathematics, negative numbers do not have square roots. This is because a negative number multiplied by itself is a negative times a negative and so is positive. When (if) you study advanced mathematics, you will learn that there is a solution and this falls within the realms of complex mathematics and imaginary numbers.
The elementary mathematics (arithmetics and elementary geometry) is needed to be used by all people but babies, for everyday life circumstances such as shopping, banking, driving or sports. Other advanced parts of mathematics are essential for some jobs. Though, many of the most advanced areas of mathematics (such as topology, Lp spaces...) have been poorly used elsewhere in the applied sciences.
Mathematics is vital for economics and finance because it allows the formation, interpretation, and use of models, using mathematical tools, that can represent parts of the economy and how they interact. By creating these models, we can better understand economics and apply solutions to increase efficiency and make better outcomes. Mathematics is more fundamental now in this field than it has ever been and much of advanced economics deals primarily in advanced applied mathematics and statistics.
determine fe(x) for sin(x+2)
The first branch of mathematics that is taught that uses variables is Algebra. The foundations of algebra touch on every other math course following from trigonometry to advanced calculus.
You can learn certain things that are used to calculate some numbers in Physics. If you are in Advanced Physics you need to know Mathematics to continue. So I would say no. You have to learn both in order to be good, starting with Mathematics
Erwin Kreyszig has written: 'Matematicas avanzadas para ingenieria/ Advanced Engineering Mathematics' 'Advanced Engineering Math 8E with Student Solutions Manual Set' 'Advanced engineering mathematics' -- subject(s): Mathematical physics, Engineering mathematics, Toepassingen, Engineering classic 'Kreyszig Advanced Engineering Mathemati' 'Advanced Engineering Mathematics, A Self-Contained Introduction (Maple Computer Guide) (Advanced Engineering Mathematics)' 'Instructor's manual for advanced engineering mathematics' 'Mathematica computer guide' -- subject(s): Data processing, Engineering mathematics, Mathematica (Computer file), Mathematical physics 'Mathematics 8th Edition with Student Solutions Manual and Mathematica Computer Guide Set' 'Advanced Engineering Mathematics 8E with Maple Manual Set' 'Maple Computer Manual for Advanced Engineering Mathematics' 'Differentialgeometrie' -- subject(s): Differential Geometry, Geometry, Differential 'Statistische Methoden und ihre Anwendungen' -- subject(s): Probabilities, Mathematical statistics 'Advanced Engineering Mathematics, Student Solutions Manual and Study Guide' 'Maple computer manual for seventh edition 'Advanced engineering mathematics'' -- subject(s): Maple (Computer program), Engineering mathematics 'Advanced Engineering Math 9th Edition with Mathematica Computer Manual 9th Edition Set' 'Advanced Engineering Mathematics 9th Edition with Wiley Plus Set' 'Kreyszig Advanced Engineering Mathematics' 'Advanced Engineering Mathematics' 'Instructor's manual for Advancedengineering mathematics' -- subject(s): Engineering mathematics 'Mathematica to Accompany Advanced Engineering Mathematics'
For most school mathematics, negative numbers do not have square roots. This is because a negative number multiplied by itself is a negative times a negative and so is positive. When (if) you study advanced mathematics, you will learn that there is a solution and this falls within the realms of complex mathematics and imaginary numbers.
In basic mathematics, a quadratic equation with a negative discriminant has no solutions. However, at a more advanced level you will learn that it has two solutions which form a complex conjugate pair.
D. A. Bryars has written: 'Advanced level pure mathematics' -- subject(s): Mathematics 'Advanced level statistics' -- subject(s): Mathematical statistics
No, you have to learn other subjects as well.
Two of the most important numbers in advanced mathematics are pi and e and both are irrational.
Yes!
Geometry.
Alfred Geary has written: 'Technical mathematics: National Certificate course' -- subject(s): Engineering mathematics 'Advanced mathematics for technical students' -- subject(s): Calculus, Mathematics
In Geometry, you learn about triangles. In Trigonometry you learn even more about triangles.
A. Bronwell has written: 'Advanced mathematics in physics and engineering'