Calculus and linear algebra : fundamentals and applications
- Cham : Springer, 2023
- xix, 531 p. ; ill., 25 cm
Includes bibliographical references and index.
This textbook offers a comprehensive coverage of the fundamentals of calculus, linear algebra and analytic geometry. Intended for bachelor’s students in science, engineering, architecture, economics, the presentation is self-contained, and supported by numerous graphs, to facilitate visualization and also to stimulate readers’ intuition. The proofs of the theorems are rigorous, yet presented in straightforward and comprehensive way. With a good balance between algebra, geometry and analysis, this book guides readers to apply the theory to solve differential equations. Many problems and solved exercises are included. Students are expected to gain a solid background and a versatile attitude towards calculus, algebra and geometry, which can be later used to acquire new skills in more advanced scientific disciplines, such as bioinformatics, process engineering, and finance. At the same time, instructors are provided with extensive information and inspiration for the preparation of their own courses.
9783031205484
Accumulation point Continuous function Direction numbers Decay model Interminate forms Linear equation Napier's number N-coordinate real space Open circle Parametric equations Riemann sum Saddle paraboloid Taylor's formula Vector space