Linear algebra is a powerful set of tools for modelling vector quantities and vector transformations. Linear algebra is used in machine learning, computer graphics, chemistry, economics, quantum... More > mechanics, signal processing, etc. Vectors are used all over the place! Linear algebra is the vector-upgrade to your modelling skills. This book contains lessons on linear algebra written in a style that is precise and concise. Each lesson covers one concept at the level required for a university course. The focus of the book is on showing the intricate connections between the abstract concepts of linear algebra, their geometrical interpretation, and the practical computational aspects. This book differs from regular textbooks by the conversational tone it is written in and its focus on intuitive explanations of the procedures of linear algebra. Each concept is illustrated through concrete examples and in connection with applications. The computer algebra system SymPy is used to illustrate tedious computational tasks.< Less
Often calculus and mechanics are taught as separate subjects. It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the... More > point. This textbook integrates both subjects and highlights the profound connections between them.
This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations. This book is the only math book you'll need for the first semester of undergraduate studies in science.
With concise, jargon-free lessons on topics in math and physics, each section covers one concept at the level required for a first-year university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.< Less