Fundamentals Of Analysis With Applications

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Fundamentals of Analysis with Applications

Author : Atul Kumar Razdan
Publisher : Springer
ISBN 13 : 9789811683824
Total Pages : 477 pages
Book Rating : 4.6/5 (838 download)

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Book Synopsis Fundamentals of Analysis with Applications by : Atul Kumar Razdan

Download or read book Fundamentals of Analysis with Applications written by Atul Kumar Razdan and published by Springer. This book was released on 2022-02-28 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and Fourier series. It is primarily focused on the applications of analytical methods to solving partial differential equations rooted in many important problems in mathematics, physics, engineering, and related fields. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology. Senior undergraduates in mathematics and engineering are the targeted student readership, and the topical focus with applications to real-world examples will promote higher-level mathematical understanding for undergraduates in sciences and engineering.

Fundamentals of Matrix Analysis with Applications

Author : Edward Barry Saff
Publisher : John Wiley & Sons
ISBN 13 : 1118953657
Total Pages : 407 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Fundamentals of Matrix Analysis with Applications by : Edward Barry Saff

Download or read book Fundamentals of Matrix Analysis with Applications written by Edward Barry Saff and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. Fundamentals of Matrix Analysis with Applications also features: Novel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications Coverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients Chapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts Fundamentals of Matrix Analysis with Applications is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science. The book is also an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms.

Fundamentals and Applications of Complex Analysis

Author : Harold Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 9780306477485
Total Pages : 442 pages
Book Rating : 4.4/5 (774 download)

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Book Synopsis Fundamentals and Applications of Complex Analysis by : Harold Cohen

Download or read book Fundamentals and Applications of Complex Analysis written by Harold Cohen and published by Springer Science & Business Media. This book was released on 2003-07-31 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a text for first and second year courses in single variable complex analysis. The material that is appropriate for more advanced study is developed from elementary material. The concepts are illustrated with large numbers of examples, many of which involve problems students encounter in other courses. For example, students who have taken an introductory physics course will have encountered analysis of simple AC circuits. This text revisits such analysis using complex numbers. Cauchy's residue theorem is used to evaluate many types of definite integrals that students are introduced to in the beginning calculus sequence. Methods of conformal mapping are used to solve problems in electrostatics. The book contains material that is not considered in other popular complex analysis texts.

Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version)

Author : Edward Saff
Publisher : Pearson
ISBN 13 : 9780134689487
Total Pages : 0 pages
Book Rating : 4.6/5 (894 download)

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Book Synopsis Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version) by : Edward Saff

Download or read book Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version) written by Edward Saff and published by Pearson. This book was released on 2017-02-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.

Fundamentals of Mathematical Analysis

Author : Adel N. Boules
Publisher : Oxford University Press, USA
ISBN 13 : 0198868782
Total Pages : 481 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Fundamentals of Mathematical Analysis by : Adel N. Boules

Download or read book Fundamentals of Mathematical Analysis written by Adel N. Boules and published by Oxford University Press, USA. This book was released on 2021-03-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Mathematical Analysis explores real and functional analysis with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces. Fundamentals of Mathematical Analysis is an extensive study of metric spaces, including the core topics of completeness, compactness and function spaces, with a good number of applications. The later chapters consist of an introduction to general topology, a classical treatment of Banach and Hilbert spaces, the elements of operator theory, and a deep account of measure and integration theories. Several courses can be based on the book. This book is suitable for a two-semester course on analysis, and material can be chosen to design one-semester courses on topology or real analysis. It is designed as an accessible classical introduction to the subject and aims to achieve excellent breadth and depth and contains an abundance of examples and exercises. The topics are carefully sequenced, the proofs are detailed, and the writing style is clear and concise. The only prerequisites assumed are a thorough understanding of undergraduate real analysis and linear algebra, and a degree of mathematical maturity.

The Fundamentals of Mathematical Analysis

Author : G. M. Fikhtengol'ts
Publisher : Elsevier
ISBN 13 : 1483154130
Total Pages : 540 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis The Fundamentals of Mathematical Analysis by : G. M. Fikhtengol'ts

Download or read book The Fundamentals of Mathematical Analysis written by G. M. Fikhtengol'ts and published by Elsevier. This book was released on 2014-08-01 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fundamentals of Mathematical Analysis, Volume 2 is a continuation of the discussion of the fundamentals of mathematical analysis, specifically on the subject of curvilinear and surface integrals, with emphasis on the difference between the curvilinear and surface ""integrals of first kind"" and ""integrals of second kind."" The discussions in the book start with an introduction to the elementary concepts of series of numbers, infinite sequences and their limits, and the continuity of the sum of a series. The definition of improper integrals of unbounded functions and that of uniform convergence of integrals are explained. Curvilinear integrals of the first and second kinds are analyzed mathematically. The book then notes the application of surface integrals, through a parametric representation of a surface, and the calculation of the mass of a solid. The text also highlights that Green's formula, which connects a double integral over a plane domain with curvilinear integral along the contour of the domain, has an analogue in Ostrogradski's formula. The periodic values and harmonic analysis such as that found in the operation of a steam engine are analyzed. The volume ends with a note of further developments in mathematical analysis, which is a chronological presentation of important milestones in the history of analysis. The book is an ideal reference for mathematicians, students, and professors of calculus and advanced mathematics.

Functional Analysis

Author : Michel Willem
Publisher : Springer Nature
ISBN 13 : 3031091493
Total Pages : 259 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Functional Analysis by : Michel Willem

Download or read book Functional Analysis written by Michel Willem and published by Springer Nature. This book was released on 2023-01-27 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the principles of functional analysis in a clear and concise way. The first three chapters describe the general notions of distance, integral, and norm, as well as their relations. Fundamental examples are provided in the three chapters that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis in relation to integration and differentiation. Starting from elementary analysis and introducing relevant research, this work is an excellent resource for students in mathematics and applied mathematics. The second edition of Functional Analysis includes several improvements as well as the addition of supplementary material. Specifically, the coverage of advanced calculus and distribution theory has been completely rewritten and expanded. New proofs, theorems, and applications have been added as well for readers to explore.

Foundations of Mathematical Analysis

Author : Richard Johnsonbaugh
Publisher : Courier Corporation
ISBN 13 : 0486134776
Total Pages : 450 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Foundations of Mathematical Analysis by : Richard Johnsonbaugh

Download or read book Foundations of Mathematical Analysis written by Richard Johnsonbaugh and published by Courier Corporation. This book was released on 2012-09-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.

Fundamentals of Music Processing

Author : Meinard Müller
Publisher : Springer
ISBN 13 : 3319219456
Total Pages : 487 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Fundamentals of Music Processing by : Meinard Müller

Download or read book Fundamentals of Music Processing written by Meinard Müller and published by Springer. This book was released on 2015-07-21 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides both profound technological knowledge and a comprehensive treatment of essential topics in music processing and music information retrieval. Including numerous examples, figures, and exercises, this book is suited for students, lecturers, and researchers working in audio engineering, computer science, multimedia, and musicology. The book consists of eight chapters. The first two cover foundations of music representations and the Fourier transform—concepts that are then used throughout the book. In the subsequent chapters, concrete music processing tasks serve as a starting point. Each of these chapters is organized in a similar fashion and starts with a general description of the music processing scenario at hand before integrating it into a wider context. It then discusses—in a mathematically rigorous way—important techniques and algorithms that are generally applicable to a wide range of analysis, classification, and retrieval problems. At the same time, the techniques are directly applied to a specific music processing task. By mixing theory and practice, the book’s goal is to offer detailed technological insights as well as a deep understanding of music processing applications. Each chapter ends with a section that includes links to the research literature, suggestions for further reading, a list of references, and exercises. The chapters are organized in a modular fashion, thus offering lecturers and readers many ways to choose, rearrange or supplement the material. Accordingly, selected chapters or individual sections can easily be integrated into courses on general multimedia, information science, signal processing, music informatics, or the digital humanities.

Isotopic Analysis

Author : Frank Vanhaecke
Publisher : John Wiley & Sons
ISBN 13 : 3527650504
Total Pages : 565 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Isotopic Analysis by : Frank Vanhaecke

Download or read book Isotopic Analysis written by Frank Vanhaecke and published by John Wiley & Sons. This book was released on 2012-04-24 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited by two very well-known and respected scientists in the field, this excellent practical guide is the first to cover the fundamentals and a wide range of applications, as well as showing readers how to efficiently use this increasingly important technique. From the contents: * The Isotopic Composition of the Elements * Single-Collector ICP-MS * Multi-Collector ICP-MS * Advances in Laser Ablation - Multi-Collector ICP-MS * Correction for Instrumental Mass Discrimination in Isotope Ratio Determination with Multi-Collector ICP-MS * Reference Materials in Isotopic Analysis * Quality Control in Isotope Ratio Applications * Determination of Trace Elements and Elemental Species Using Isotope Dilution ICP-MS * Geochronological Dating * Application of Multi-Collector ICP-MS to Isotopic Analysis in Cosmochemistry * Establishing the Basis for Using Stable Isotope Ratios of Metals as Paleoredox Proxies * Isotopes as Tracers of Elements Across the Geosphere-Biosphere Interface * Archaeometric Applications * Forensics Applications * Nuclear Applications * The Use of Stable Isotope Techniques for Studying Mineral and Trace Element Metabolism in Humans * Isotopic Analysis via Multi-Collector ICP-MS in Elemental Speciation A must-have for newcomers as well as established scientists seeking an overview of isotopic analysis via ICP-MS.

Foundations of Analysis

Author : Joseph L. Taylor
Publisher : American Mathematical Soc.
ISBN 13 : 0821889842
Total Pages : 411 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Foundations of Analysis by : Joseph L. Taylor

Download or read book Foundations of Analysis written by Joseph L. Taylor and published by American Mathematical Soc.. This book was released on 2012 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. --Book cover.

Fundamentals of Dimensional Analysis

Author : Alberto N. Conejo
Publisher : Springer Nature
ISBN 13 : 9811616027
Total Pages : 384 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Fundamentals of Dimensional Analysis by : Alberto N. Conejo

Download or read book Fundamentals of Dimensional Analysis written by Alberto N. Conejo and published by Springer Nature. This book was released on 2021-05-31 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book which systematically describes an integral approach on dimensional analysis. The amount of textbooks on dimensional analysis is huge, however most of the books start with the definition of the relevant variables. When the variables are given to the reader without prior knowledge on each problem it has serious consequences: the usefulness of dimensional analysis is not appreciated, is not possible to understand the real challenges of this subject and the result, which is a general relationship with dimensionless groups is useless. This book closes the hole in previous books because in addition to describe step by step how to reach the general relationship with dimensionless groups, which creates solid basis of different metallurgical problems to understand the role of the relevant variables. It provides a full description on how to obtain the experimental data and applies the experimental data to transform the general relationship in a particular solution. Once the reader learns how to design the experimental work and uses that information to define the particular solution, it is possible to asses if the selection of variables was adequate or not. The book is useful for both undergraduate and graduate students.

Introductory Functional Analysis with Applications

Author : Erwin Kreyszig
Publisher : John Wiley & Sons
ISBN 13 : 0471504599
Total Pages : 706 pages
Book Rating : 4.4/5 (715 download)

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Book Synopsis Introductory Functional Analysis with Applications by : Erwin Kreyszig

Download or read book Introductory Functional Analysis with Applications written by Erwin Kreyszig and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry

Fundamentals of Complex Analysis

Author : K. K. Dube
Publisher : I. K. International Pvt Ltd
ISBN 13 : 9380026021
Total Pages : 293 pages
Book Rating : 4.3/5 (8 download)

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Book Synopsis Fundamentals of Complex Analysis by : K. K. Dube

Download or read book Fundamentals of Complex Analysis written by K. K. Dube and published by I. K. International Pvt Ltd. This book was released on 2013-12-30 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book divided in ten chapters deals with: " Algebra of complex numbers and its various geometrical properties, properties of polar form of complex numbers and regions in the complex plane. " Limit, continuity, differentiability. " Different kinds of complex valued functions. " Different types of transformations. " Conformal mappings of different functions. " Properties of bilinear and special bilinear transformation. " Line integrals, their properties and different theorems. " Sequences and series, Power series, Zero s of functions, residues and residue theorem, meromorphic functions, different kinds of singularities. " Evaluation of real integrals. " Analytic continuation, construction of harmonic functions, infinite product, their properties and Gamma function. " Schwarz-Christoffel transformations, mapping by multi valued functions, entire functions. " Jenson s theorem and Poisson-Jenson theorem. The book is designed as a textbook for UG and PG students of science as well as engineering

Introduction to Matrix Analysis and Applications

Author : Fumio Hiai
Publisher : Springer Science & Business Media
ISBN 13 : 3319041509
Total Pages : 337 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Matrix Analysis and Applications by : Fumio Hiai

Download or read book Introduction to Matrix Analysis and Applications written by Fumio Hiai and published by Springer Science & Business Media. This book was released on 2014-02-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature of matrix analysis. This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.

Failure Analysis

Author : Jose Luis Otegui
Publisher : Springer Science & Business Media
ISBN 13 : 3319039105
Total Pages : 313 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Failure Analysis by : Jose Luis Otegui

Download or read book Failure Analysis written by Jose Luis Otegui and published by Springer Science & Business Media. This book was released on 2014-01-02 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the failures of structural elements, i.e. those components whose primary mission is to withstand mechanical loads. The book is intended as a self-contained source for those with different technical grades, engineers and scientists but also technicians in the field can benefit from its reading.

Propensity Score Analysis

Author : Wei Pan
Publisher : Guilford Publications
ISBN 13 : 1462519490
Total Pages : 417 pages
Book Rating : 4.4/5 (625 download)

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Book Synopsis Propensity Score Analysis by : Wei Pan

Download or read book Propensity Score Analysis written by Wei Pan and published by Guilford Publications. This book was released on 2015-04-07 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to help researchers better design and analyze observational data from quasi-experimental studies and improve the validity of research on causal claims. It provides clear guidance on the use of different propensity score analysis (PSA) methods, from the fundamentals to complex, cutting-edge techniques. Experts in the field introduce underlying concepts and current issues and review relevant software programs for PSA. The book addresses the steps in propensity score estimation, including the use of generalized boosted models, how to identify which matching methods work best with specific types of data, and the evaluation of balance results on key background covariates after matching. Also covered are applications of PSA with complex data, working with missing data, controlling for unobserved confounding, and the extension of PSA to prognostic score analysis for causal inference. User-friendly features include statistical program codes and application examples. Data and software code for the examples are available at the companion website (www.guilford.com/pan-materials).