Physics with Calculus/Introduction/Textbook
This is an introductory-level physics textbook for engineering and science students with a strong mathematical background. It is assumed that the student had a year of calculus, covering differentiation and basic integrals. For those less mathematically-inclined, there are other physics textbooks such as the Physics Study Guide. While there are available online mathematics resources for the mathematics required for the material, but an effort has been made to make this book self-contained in that respect.
Where possible physical concepts will be first introduced in terms of historical context and descriptions of the significance. Basic mathematical treatments are given with an emphasis on specific examples and where mathematical abstraction is necessary, the motivation behind the manipulation of symbols will be explained. For a more mathematical and fundamental approach, try the Modern Physics Text.