Andreol263 said:I was searching in amazon, where i found a book which have very good comments about him, called Loomis & Sternberg's Advanced Calculus, I'm already reading this book, and from what i seen, i liked :), this book will help me in physics, or will be desnecessary, that basic calculus is good??, and in the comments I've seen that this is like a brief introduction to real analysis and some of differential geometry, what you guys think?
Andreol263 said:I was searching in amazon, where i found a book which have very good comments about him, called Loomis & Sternberg's Advanced Calculus, I'm already reading this book, and from what i seen, i liked :), this book will help me in physics, or will be desnecessary, that basic calculus is good??, and in the comments I've seen that this is like a brief introduction to real analysis and some of differential geometry, what you guys think?
Advanced Calculus is used in physics to model and analyze physical systems using mathematical equations and functions. It helps in understanding the behavior of particles and systems in motion, as well as in predicting the outcomes of experiments and observations.
Some specific applications of Advanced Calculus in physics include the use of differential equations to describe the motion of particles and waves, the use of vector calculus to analyze forces and fields, and the use of calculus of variations to find the optimal path of a particle or system.
Advanced Calculus is closely related to other branches of mathematics in physics, such as linear algebra, differential geometry, and complex analysis. These branches of mathematics provide additional tools and techniques for solving complex problems in physics using Advanced Calculus.
While a basic understanding of Calculus is necessary for studying physics, Advanced Calculus is not always required. However, it can greatly enhance one's understanding of complex physical systems and allow for more accurate predictions and analyses.
One drawback of using Advanced Calculus in physics is that it can sometimes lead to overly complex and abstract models, which may not accurately reflect real-world phenomena. It is important to carefully consider and validate the assumptions and limitations of any mathematical model before applying it to a physical system.