Mathematics play a central role in the life of every scientist and engineer, from the earliest school days to late into the college and professional years. While the subject is met with enthusiasm or reluctance, depending on individual taste, all are required to learn it to some degree. This book spans a large range of topics, from basic arithmetic and algebra to calculus and Fourier transforms, and bridges the gap between high school and college. The heart of the book is the conveying of a meaningful understanding of where mathematical results originated, with a lesser emphasis on the formal proof of each statement. Thus, it is ideal for undergraduates studying math, chemistry, biology, physics, engineering, and related subjects. Also, its informal and readable tutorial style make it appropriate for the novice, while its very concise nature will insure that it is a useful reference for the experienced professional.br1. Basic algebra and arithmeticbr2. Curves and graphsbr3. Trigonometrybr4. Differentiationbr5. Integrationbr6. Taylor seriesbr7. Complex numbersbr8. Vectorsbr9. Matricesbr10. Partial differentiationbr11. Line integralsbr12. Multiple integralsbr13. Ordinary differential equationsbr14. Partial differential equationsbr15. Fourier series and transformsbrAppendixbrBibliographybrIndexbr