Aldo G. S. Ventre Ventre Calculus and Linear Algebra

Calculus and Linear Algebra

von Aldo G. S. Ventre

Fundamentals and Applications

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Beschreibung

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.



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.



Guides students to deeply understand the fundamentals of calculus, algebra and geometry Offers extensive information for instructors to approach the topics in a broad, interconnected way Includes numerous schemes, graphs, examples and solved exercise

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Aldo G. S. Ventre

Themen in »Calculus and Linear Algebra«

Linear Function Numeric and geometric vectors Systems of Linear Equations Scalar Product Composite Functions Function of Several Variables Notion of Algorithm Complex Numbers Monotonic Functions Bounded Functions Second Order Partial Derivatives Continuity and Derivability Constrained extremes Riemann Integral Foundations of Calculus and Geometry

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Details

ISBN: 9783031205491
Verlag: Springer International Publishing
Erscheinung: 11.02.2023

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