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Titlebook: Calculus and Linear Algebra; Fundamentals and App Aldo G. S. Ventre Textbook 2023 The Editor(s) (if applicable) and The Author(s), under ex

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书目名称Calculus and Linear Algebra
副标题Fundamentals and App
编辑Aldo G. S. Ventre
视频video
概述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 nume
图书封面Titlebook: Calculus and Linear Algebra; Fundamentals and App Aldo G. S. Ventre Textbook 2023 The Editor(s) (if applicable) and The Author(s), under ex
描述.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..
出版日期Textbook 2023
关键词Linear Function; Numeric and geometric vectors; Systems of Linear Equations; Scalar Product; Composite F
版次1
doihttps://doi.org/10.1007/978-3-031-20549-1
isbn_softcover978-3-031-20551-4
isbn_ebook978-3-031-20549-1
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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The Real Line,n of the oriented line with the field of the real numbers. As a consequence, the relative length of a segment and the distance are defined: these are the elements to introduce the concepts of equation, identity, incompatible equation, inequality and inequation. Further important consequences of the
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Real-Valued Functions of a Real Variable. The Line,extrema of a real-valued function of a real variable and points out the peculiarities of the concepts of graph and curve starting from the linear function and the line. The analytical representations are studied in detail accompanied by many examples and exercises in order to provide the acquisition
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Scalar Product. Lines and Planes,ector, the scalar product in function of the components, orthogonality in terms of the components, angles of line and vectors are studied. Furthermore, the equation of the plane is a natural consequence of the scalar product. The chapter is detailed, the proofs are agile and accompanied by examples
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Systems of Linear Equations. Reduction,and the associated homogeneous linear system are described. The construction of equivalent systems and the transformation of the systems by means of linear combinations explain the dynamics in dealing with discussion and solution procedures. The detailed use of the elementary operations, accompanied
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