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Series series Textbooks in Mathematics
Linear algebra is an extremely versatile and useful subject. It rewards those who study it with powerful computational tools, lessons about how mathematical theory is built, examples for later study in other classes, and much more.Functional Linear Algebra is a unique text written to address the need for a one-term linear algebra course where students have taken only calculus. It does not assume ... Read more

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Linear algebra is an extremely versatile and useful subject. It rewards those who study it with powerful computational tools, lessons about how mathematical theory is built, examples for later study in other classes, and much more.Functional Linear Algebra is a unique text written to address the need for a one-term linear algebra course where students have taken only calculus. It does not assume
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Recent Advances in Approximation and Potential Theory

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Series series Mathematics and Statistics (R0)
Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements. ... Read more

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Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
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Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt:Vektoren und VektorrechnungMatrizen und MatrizenrechnungVektor- und MatrixräumeMathematik und Tensorrechnung ... Read more

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Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt:Vektoren und VektorrechnungMatrizen und MatrizenrechnungVektor- und MatrixräumeMathematik und Tensorrechnung
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Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science ... Read more

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Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science
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In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:vettori e operazioni vettorialispazi vettorialibasi canoniche, ortogonali e ortonormaliSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi. ... Read more

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Series series Mathematics and Statistics (R0)
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This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth. First, an insight into the current state of research is given by reducing gravimetry to mathematically accessible, and thus calculable, decorrelated models. In this way, the various unresolved questions and problems of gravimetry are made
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Fixed Point Results in W-Distance Spaces

by Vladimir Rakočević ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars ... Read more

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Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars
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Series series Mathematics and Statistics (R0)
This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of ... Read more

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This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of
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Potential Theory on Sierpiński Carpets

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Series series Mathematics and Statistics (R0)
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This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs
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Series Book 28 - Series In Pure Mathematics
This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as ... Read more

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This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as
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Series series Mathematics and Statistics (R0)
This book explains in detail the generalized Fourier series technique for the approximate solution of a mathematical model governed by a linear elliptic partial differential equation or system with constant coefficients. The power, sophistication, and adaptability of the method are illustrated in application to the theory of plates with transverse shear deformation, chosen because of its ... Read more

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This book explains in detail the generalized Fourier series technique for the approximate solution of a mathematical model governed by a linear elliptic partial differential equation or system with constant coefficients. The power, sophistication, and adaptability of the method are illustrated in application to the theory of plates with transverse shear deformation, chosen because of its
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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the C∗-probability spaces.FeaturesSuitable for graduate students and professional
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Series series Mathematics and Statistics (R0)
The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet ... Read more

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The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet
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Invariant Probabilities of Transition Functions

by Radu Zaharopol ...

Series series Mathematics and Statistics (R0)
The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other ... Read more

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The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other
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Transmutation Operators and Applications

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Series series Mathematics and Statistics (R0)
Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and ... Read more

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Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and
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En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:vectores y cálculo vectorialmatrices y cálculo matricialespacios vectoriales y matricialesmatemáticas y cálculo tensorial
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New Tools in Mathematical Analysis and Applications

Proceedings of the 14th ISAAC Congress 2023, Ribeirão Preto, Brazil

Edited by Marcelo R. Ebert, Uwe Kähler, Irene Sabadini, Joachim Toft ...

Series series Springer Nature Proceedings excluding Computer Science
This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of São Paulo, Campus Ribeirão Preto, Brazil, on July 17-21, 2023. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume constitutes a valuable resource on current research in mathematical analysis and its ... Read more

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This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of São Paulo, Campus Ribeirão Preto, Brazil, on July 17-21, 2023. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume constitutes a valuable resource on current research in mathematical analysis and its
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Vector Calculus Using Mathematica Second Edition

by Steven Tan ...

An introduction to vector calculus with the aid of Mathematica® computer algebra system to represent them and to calculate with them. The unique features of the book, which set it apart from the existing textbooks, are the large number of illustrative examples. It is the author’s opinion a novice in science or engineering needs to see a lot of examples in which mathematics is used to be able to ... Read more

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How to Draw a Straight Line: A Lecture on Linkages (Illustrated)

by A. B. Kempe, B.A ...

How to Draw a Straight Line: A Lecture on Linkages (Illustrated) by A. B. KEMPE, B.A.This Lecture was one of the series delivered to science teachers last summer in connection with the Loan Collection of Scientific Apparatus. I have taken the opportunity afforded by its publication to slightly enlarge it and to add several notes. For the illustrations I am indebted to my brother, Mr. H. R. Kempe, ... Read more

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How to Draw a Straight Line: A Lecture on Linkages (Illustrated) by A. B. KEMPE, B.A.This Lecture was one of the series delivered to science teachers last summer in connection with the Loan Collection of Scientific Apparatus. I have taken the opportunity afforded by its publication to slightly enlarge it and to add several notes. For the illustrations I am indebted to my brother, Mr. H. R. Kempe,
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Exercices sur les vecteurs et les espaces vectoriels

by Simone Malacrida ...

Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :vecteurs et opérations vectoriellesespaces vectorielsbases canoniques, orthogonales et orthonormées.Des conseils théoriques initiaux sont également présentés pour faire comprendre l'exécution des exercices ... Read more

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Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :vecteurs et opérations vectoriellesespaces vectorielsbases canoniques, orthogonales et orthonormées.Des conseils théoriques initiaux sont également présentés pour faire comprendre l'exécution des exercices
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Vectorization

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by Edward DongBo Cui ...

Enables readers to develop foundational and advanced vectorization skills for scalable data science and machine learning and address real-world problemsOffering insights across various domains such as computer vision and natural language processing, Vectorization covers the fundamental topics of vectorization including array and tensor operations, data wrangling, and batch processing. This book ... Read more

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Enables readers to develop foundational and advanced vectorization skills for scalable data science and machine learning and address real-world problemsOffering insights across various domains such as computer vision and natural language processing, Vectorization covers the fundamental topics of vectorization including array and tensor operations, data wrangling, and batch processing. This book
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Mathematical Foundation of the Boundary Integro-Differential Equation Method

by Houde Han, Dongsheng Yin ...

Series series Mathematics and Statistics (R0)
The book focuses on the mathematical foundations of boundary integro-differential equation method, with a primary focus on reducing the hypersingular integrals in traditional boundary integral equations into boundary integro-differential equations with weak singularities. It briefly introduces the theory of distributions, while the boundary integral equations method is grounded in the fundamental ... Read more

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The book focuses on the mathematical foundations of boundary integro-differential equation method, with a primary focus on reducing the hypersingular integrals in traditional boundary integral equations into boundary integro-differential equations with weak singularities. It briefly introduces the theory of distributions, while the boundary integral equations method is grounded in the fundamental
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