Basic Methods of Linear Functional Analysis

This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming probl

This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming probl

Encourages mastery of the basic principles of psychological research Research Methods, Design, and Analysis, 12/e, provides an understanding of the research methods used to investigate human thou

A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method fo

This text provides a succinct introduction to basic electric circuit analysis with balanced emphasis on time domain and frequency domain methods. The fifth edition has retained the format and features

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stat

In the spirit of the author's Basic Language of Mathematics, this companion volume is a careful exposition of the concepts and processes of Linear Algebra. It stresses cautious and clear explanations,

This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching suc

Advanced Engineering Analysis is a textbook on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines t

The new edition of Thomas' Analysis and Design of Linear Circuits features more skill examples, exercises, and associated problems. Specific topics emphasized are Thevenin Equivalent Circuits, Nodal a

Swartz (New Mexico State U.) presents a textbook for an introductory course in functional analysis for students who have completed a first year course in real analysis. He assumes they have no backgro

For freshman/sophomore-level courses in Linear Algebra. This book provides an applied introduction to the basic ideas, computational techniques, and applications of linear algebra. The most applied of

For freshman/sophomore-level courses in Linear Algebra. This book provides an applied introduction to the basic ideas, computational techniques, and applications of linear algebra. The most applied o

Elementary Linear Algebra: Applications Version, 12th Edition, gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. In this edition, a new section has been added to describe the applications of linear algebra in emerging fields such as data science, machine learning, climate science, geomatics, and biological modeling. New exercises have been added with special attention to the expanded early introduction to linear transformations and new examples have been added, where needed, to support the exercise sets. Calculus is not a prerequisite, but there are clea

●Practical applications include examples, over 500 homework problems, and computer problems.●Describes techniques to convert analog signals, the analysis of linear time-invariant discrete-time systems and signals in the time domain, and bilateral and unilateral z-transform methods.●Analyzes signals and systems in the frequency domain, the Fourier series and transform in continuous- and discrete-time signals, and the sampling and reconstruction of continuous-time signals.●Examines realizations of IIR and FIR systems and techniques to design digital filters.●Looks at sampling-rate conversion and applications to multirate digital signal processing.●Discusses linear prediction, optimum linear filters and single-channel adaptive filers based on the LMS and RLS algorithms.

This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the

This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the

The monograph presents a comparative analysis of different thermodynamic models of the equations of state. The basic ideological premises of the theoretical methods and the experiment are considered.

This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating th

This is a comprehensive overview of state-of-the-art computational methods based on orbital-free formulation of density functional theory completed by the most recent developments concerning the exact

This book provides a clear and detailed survey of basic neural network architectures and learning rules. In it, the authors emphasize mathematical analysis of networks, methods for training netw

This lucid, accessible introduction to supervised machine learning presents core concepts in a focused and logical way that is easy for beginners to follow. The author assumes basic calculus, linear algebra, probability and statistics but no prior exposure to machine learning. Coverage includes widely used traditional methods such as SVMs, boosted trees, HMMs, and LDAs, plus popular deep learning methods such as convolution neural nets, attention, transformers, and GANs. Organized in a coherent presentation framework that emphasizes the big picture, the text introduces each method clearly and concisely “from scratch” based on the fundamentals. All methods and algorithms are described by a clean and consistent style, with a minimum of unnecessary detail. Numerous case studies and concrete examples demonstrate how the methods can be applied in a variety of contexts.

Table of Contents:I. Single Degree of Freedom Systems1. Equations of Motion, Problem Statement, and Solution Methods2. Free Vibration3. Response to Harmonic and Periodic Excitations4. Response to Arbitrary, Step, and Pulse Excitations5. Numerical Evaluation of Dynamic Response6. Earthquake Response of Linear Systems7. Earthquake Response of Inelastic Systems8. Generalized Single-Degree-of-Freedom SystemsII. Multi Degree of Freedom Systems9. Equations of Motion, Problem Statement, and Solution Methods10. Free Vibration11. Damping in Structures12. Dynamic Analysis and Response of Linear Systems13. Earthquake Analysis of Linear Systems14. Analysis of Nonclassically Damped Linear Systems15. Reduction of Degrees of Freedom16. Numerical Evaluation of Dynamic Response17. Systems with Distributed Mass and Elasticity18. Introduction to the Finite Element Method III. Earthquake Response, Design, and Evaluation of Multistory Buildings19. Earthquake Response of Linearly Elastic Buildings20. E

Analysis, modeling, and simulation for better understanding of diverse complex natural and social phenomena often require powerful tools and analytical methods. Tractable approaches, however, can be d

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with application

Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, a

This proceedings is a collection of articles by front-line researchers in Mathematical Analysis, giving the reader a wide perspective of the current research in several areas like Functional Analysis,

This book illustrates a number of modelling and computational techniques for addressing relevant issues in reliability and risk analysis. In particular, it provides: i) a basic illustration of some me

Every student of mathematics needs a sound grounding in the techniques of linear algebra. It forms the basis of the study of linear equations, matrices, linear mappings, and differential equations, an

1. Applied Linear Statistical Models contains 14 chapters on the Applied Linear Regression Models, plus an additional 16 chapters on single and multifactor ANOVA and Experimental Design. The standard

Based on the recommendations of the Linear Algebra Curriculum Study Group, this introduction to linear algebra offers a matrix-oriented approach with more emphasis on problem solving and applications.

Linear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, t

Quantitative Analysis for Management helps students to develop a real-world understanding of business analytics, quantitative methods, and management science by emphasizing model building, tangible ex

●Introduces central topics, such as vector spaces, linear maps, linear dependence, and eigenvalues, early in the book with the aim of helping students transition from calculus to rigorous mathematics●

Inequalities in Analysis and Probability is a must for graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and

"This book presents an overview of the foundations and the key ideas and results of linear and generalized linear models under one cover"--

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it

In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operato

This book introduces the basic tools of dynamic optimization in economics to study environmental problems, applies econometric methods to estimate and test the models derived by dynamic optimization,