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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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Real-Valued Functions of a Real Variable. The Line,tion and the line. The analytical representations are studied in detail accompanied by many examples and exercises in order to provide the acquisition of the fundamentals of the analysis of the real-valued functions.
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Systems of Linear Equations. Reduction,inear combinations explain the dynamics in dealing with discussion and solution procedures. The detailed use of the elementary operations, accompanied by many examples and exercises, eases system reduction.
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Elementary Functions,classes of real-valued functions of a single real variable are defined: the power, the exponential function and the logarithm which, along with the linear and circular functions, are known as elementary functions. The domain and the range of the functions in each class and the basic analytic and geometric properties are defined.
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Continuity,a detailed proof of Weierstrass’ theorem. A classification of discontinuities is accomplished. Many exercises and examples on the continuity and discontinuity of functions and their graphs are carried out. The knowledge of ontinuous functions and inverse functions allows to define the inverse functions of the circular functions.
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Neural Interfaces: Past and Present,extended set of real numbers, commensurability and real numbers. The topics are detailed and accompanied by examples and procedures in order to provide a precise framework of the fundamentals of the analysis.
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Textbook 2023be 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..
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