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Authors: Fernández-Cara, Enrique (2024) - Differential equations can be viewed as a tool well suited to bring mathematics closer to real life and describe phenomena with an origin in physics, chemistry, biology, economics, etc. Of course, this "invites" scientists and engineers to use them. On the other hand, differential equations are at the starting point of a lot of purely mathematical activity. Thus, a large part of functional analysis has been motivated by the need to solve questions coming from the analysis of differential systems. The same can be said of numerical analysis
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Authors: Demana, Franklin (2022) - TheRule of Four: A Balanced Approach Precalculus:Graphical, Numerical, Algebraic providesa balanced approach to problem solving and a consistent transition fromPrecalculus to Calculus. A principal feature of this text is the balance amongthe algebraic, numerical, graphical, and verbal methods of representingproblems: the rule of 4.
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Authors: Triola, Mario F (2022) - Step-by-step guide to the important concepts of Statistics
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Authors: Lay, David C (2022) - For courses in Linear Algebra. Fosters the concepts and skills needed for future careers Linear Algebra and Its Applications offers a modern elementary introduction with broad, relevant applications. With traditional texts, the early stages of the course are relatively easy as material is presented in a familiar, concrete setting, but students often hit a wall when abstract concepts are introduced.
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Authors: Loftus, Stephen C (2022) - Basic Statistics with R: Reaching Decisions with Data provides an understanding of the processes at work in using data for results. Sections cover data collection and discuss exploratory analyses, including visual graphs, numerical summaries, and relationships between variables - basic probability, and statistical inference - including hypothesis testing and confidence intervals.
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Authors: Liao, Shijun (2023) - A new strategy to gain "clean" reliable numerical simulations of chaos and turbulence, namely the Clean Numerical Simulation (CNS), which can greatly reduce numerical noises to a tiny level much smaller than that of true solutions so numerical noises are negligible, and the corresponding numerical simulation is "clean" and thus reliable.
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Authors: Macedo, Pedro (2023) - The book is divided into three parts, the first of which is devoted to basic concepts, making the content self-contained. The second is devoted to DEA, and the third to SFA. The topics covered in Part 2 range from stochastic DEA to multidirectional dynamic inefficiency analysis, including directional distance functions, the elimination and choice translating algorithm, benefit-of-the-doubt composite indicators, and internal benchmarking for efficiency evaluations. Part 3 also includes exciting and cutting-edge theoretical research on e.g. robustness, nonparametric stochastic frontier models, hierarchical panel data models, and estimation methods like corrected ordinary least squares and maximum entropy
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Authors: O'Regan, Gerard (2022) - The success of business today is dependent on the knowledge and expertise of its employees. The need for mathematics arises naturally in business such as in the work of the actuary in an insurance company; the financial mathematics required in the day-to-day work of the banker; and the need to analyse data to extract useful information to enable the business to make the right decisions to be successful. A Guide to Business Mathematics provides a valuable self-study guide to business practitioners, business students and the general reader to enable them to gain an appropriate insight into the mathematics used in business
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Authors: Jay Axler, Sheldon (2024) - The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator
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Authors: Larson, Ron (2023) - Elementary Statistics: Picturing the World, 8th Edition describes the world through statistics using stepped-out instruction, extensive real-life examples and exercises, and design that fits content to each page makes the material more digestible. The authors' combination of theory, teaching and learning aids, and design helps you understand concepts and use statistics to describe and think about our world.
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