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mathematics --- Calcul differentiel --- Calcul vectoriel --- Analyse vectorielle --- Series de fourier --- Theoreme de stokes --- Transformation de laplace --- Coordonees curviligenes --- Analyse mathématique --- Mathematical analysis --- Analyse mathématique

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Càlcul --- Càlcul infinitesimal --- Límits (Matemàtica) --- Aritmètica --- Anàlisi harmònica --- Anàlisi p-àdica --- Càlcul diferencial --- Càlcul fraccional --- Càlcul mental --- Corbes --- Curvatura --- Equacions diferencials --- Sèries de Fourier --- Superfícies (Matemàtica) --- Teories no lineals --- Anàlisi matemàtica --- Concepte de nombre --- Funcions --- Geometria infinitesimal --- Mètode ABN --- Numeració --- Calculus. --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Mathematical analysis --- Functions --- Geometry, Infinitesimal

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Functional analysis --- Mathematical analysis --- Numerical methods of optimisation --- Operational research. Game theory --- Mathematics --- Applied physical engineering --- analyse (wiskunde) --- economie --- wiskunde --- kansrekening --- optimalisatie --- Calculus --- Càlcul --- Càlcul infinitesimal --- Límits (Matemàtica) --- Aritmètica --- Anàlisi harmònica --- Anàlisi p-àdica --- Càlcul diferencial --- Càlcul fraccional --- Càlcul mental --- Corbes --- Curvatura --- Equacions diferencials --- Sèries de Fourier --- Superfícies (Matemàtica) --- Teories no lineals --- Anàlisi matemàtica --- Concepte de nombre --- Funcions --- Geometria infinitesimal --- Mètode ABN --- Numeració

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This study guide is designed for students taking courses in precalculus. The textbook includes practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve student’s problem-solving skills and basic understanding of the topics covered in their pre-calculus and calculus courses. Exercises cover a wide selection of basic and advanced questions and problems; Categorizes and orders the problems based on difficulty level, hence suitable for both knowledgeable and under-prepared students; Provides detailed and instructor-recommended solutions and methods, along with clear explanations; Can be used along core precalculus textbooks.

Engineering mathematics. --- Calculus. --- Engineering Mathematics. --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Mathematical analysis --- Functions --- Geometry, Infinitesimal --- Engineering --- Engineering analysis --- Mathematics --- Precalculus. --- Study and teaching --- Càlcul --- Càlcul infinitesimal --- Límits (Matemàtica) --- Aritmètica --- Anàlisi harmònica --- Anàlisi p-àdica --- Càlcul diferencial --- Càlcul fraccional --- Càlcul mental --- Corbes --- Curvatura --- Equacions diferencials --- Sèries de Fourier --- Superfícies (Matemàtica) --- Teories no lineals --- Anàlisi matemàtica --- Concepte de nombre --- Funcions --- Geometria infinitesimal --- Mètode ABN --- Numeració

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The real-variable theory of function spaces has always been at the core of harmonic analysis. In particular, the real-variable theory of the Hardy space is a fundamental tool of harmonic analysis, with applications and connections to complex analysis, partial differential equations, and functional analysis. This book is devoted to exploring properties of generalized Herz spaces and establishing a complete real-variable theory of Hardy spaces associated with local and global generalized Herz spaces via a totally fresh perspective. This means that the authors view these generalized Herz spaces as special cases of ball quasi-Banach function spaces. In this book, the authors first give some basic properties of generalized Herz spaces and obtain the boundedness and the compactness characterizations of commutators on them. Then the authors introduce the associated Herz–Hardy spaces, localized Herz–Hardy spaces, and weak Herz–Hardy spaces, and develop a complete real-variable theory of these Herz–Hardy spaces, including their various maximal function, atomic, molecular as well as various Littlewood–Paley function characterizations. As applications, the authors establish the boundedness of some important operators arising from harmonic analysis on these Herz–Hardy spaces. Finally, the inhomogeneous Herz–Hardy spaces and their complete real-variable theory are also investigated. With the fresh perspective and the improved conclusions on the real-variable theory of Hardy spaces associated with ball quasi-Banach function spaces, all the obtained results of this book are new and their related exponents are sharp. This book will be appealing to researchers and graduate students who are interested in function spaces and their applications.

Functions of complex variables. --- Fourier analysis. --- Functional analysis. --- Several Complex Variables and Analytic Spaces. --- Fourier Analysis. --- Functional Analysis. --- Espais de Hardy --- Anàlisi de Fourier --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Analysis, Fourier --- Mathematical analysis --- Complex variables --- Elliptic functions --- Functions of real variables --- Anàlisi matemàtica --- Polinomis ortogonals --- Sèries de Fourier --- Sèries ortogonals --- Transformacions de Fourier --- Anàlisi harmònica --- Ondetes (Matemàtica) --- Hardy, Espacios de --- Anàlisi funcional