Calculus and Linear Algebra : Fundamentals and Applications / by Aldo G. S. Ventre.

Format:

Book

Author/Creator:

Ventre, Aldo G. S., author.

Language:

English

Subjects (All):

Engineering mathematics.

Algebras, Linear.

Mathematics.

Engineering Mathematics.

Linear Algebra.

Applications of Mathematics.

Local Subjects:

Engineering Mathematics.

Linear Algebra.

Applications of Mathematics.

Physical Description:

1 online resource (530 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2023.

Summary:

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 preparationof their own courses.

Contents:

Language Sets

Numbers and propositions

Relations

Euclidean geometry

Functions

The real line

Real-valued functions of a real variable. The line.

Notes:

Includes bibliographical references and index.

Other Format:

Print version: Ventre, Aldo G. S. Calculus and Linear Algebra

ISBN:

9783031205491