Calculus and linear algebra : fundamentals and applications / Aldo G.S. Ventre.
2023
QA303.2
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Details
Title
Calculus and linear algebra : fundamentals and applications / Aldo G.S. Ventre.
Author
ISBN
9783031205491 (electronic bk.)
3031205499 (electronic bk.)
3031205480
9783031205484
3031205499 (electronic bk.)
3031205480
9783031205484
Published
Cham, Switzerland : Springer, 2023.
Language
English
Description
1 online resource (644 pages) : illustrations (black and white, and colour).
Item Number
10.1007/978-3-031-20549-1 doi
Call Number
QA303.2
Dewey Decimal Classification
515
Summary
This textbook offers a comprehensive coverage of the fundamentals of calculus, linear algebra and analytic geometry. Intended for bachelors 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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
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Table of Contents
Language Sets
Numbers and propositions
Relations
Euclidean geometry
Functions
The real line
Real-valued functions of a real variable. The line.
Numbers and propositions
Relations
Euclidean geometry
Functions
The real line
Real-valued functions of a real variable. The line.