Natarajan, R.'s Books

Partition of Unity Methods

By: Stéphane P. A. Bordas,Alexander Menk,Sundararajan Natarajan

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Partition of Unity Methods

By: Stéphane P. A. Bordas,Alexander Menk,Sundararajan Natarajan

PARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. Partition of Unity Methods explores all essential topics on this key new technology, including: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM The basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector An introduction to the fundamentals of enrichment A revisitation of the partition of unity enrichment A description of the geometry of enrichment features, with discussions of level sets for stationary interfaces Application of XFEM to bio-film, gradient theories, and three dimensional crack propagation Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book.

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373

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John Wiley & Sons

Published Date

ISBN 10

111853588X

ISBN 13

9781118535882

Concise Introduction to Basic Real Analysis

By: Hemen Dutta,P. N. Natarajan,Yeol Je Cho

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Concise Introduction to Basic Real Analysis

By: Hemen Dutta,P. N. Natarajan,Yeol Je Cho

This book provides an introduction to basic topics in Real Analysis and makes the subject easily understandable to all learners. The book is useful for those that are involved with Real Analysis in disciplines such as mathematics, engineering, technology, and other physical sciences. It provides a good balance while dealing with the basic and essential topics that enable the reader to learn the more advanced topics easily. It includes many examples and end of chapter exercises including hints for solutions in several critical cases. The book is ideal for students, instructors, as well as those doing research in areas requiring a basic knowledge of Real Analysis. Those more advanced in the field will also find the book useful to refresh their knowledge of the topic. Features Includes basic and essential topics of real analysis Adopts a reasonable approach to make the subject easier to learn Contains many solved examples and exercise at the end of each chapter Presents a quick review of the fundamentals of set theory Covers the real number system Discusses the basic concepts of metric spaces and complete metric spaces

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251

Publisher

CRC Press

Published Date

ISBN 10

0429876335

ISBN 13

9780429876332

DIGITAL DESIGN

By: NATARAJAN, R. ANANDA

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DIGITAL DESIGN

By: NATARAJAN, R. ANANDA

Primarily intended for undergraduate engineering students of Electronics and Communication, Electronics and Electrical, Electronics and Instrumentation, Computer Science and Information Technology, this book will also be useful for the students of BCA, B.Sc. (Electronics and CS), M.Sc. (Electronics and CS) and MCA. Digital Design is a student-friendly textbook for learning digital electronic fundamentals and digital circuit design. It is suitable for both traditional design of digital circuits and HDL based digital design. This well organised text gives a comprehensive view of Boolean logic, logic gates and combinational circuits, synchronous and asynchronous circuits, memory devices, semiconductor devices and PLDs, and HDL, VHDL and Verilog programming. Numerous solved examples are given right after conceptual discussion to provide better comprehension of the subject matter. VHDL programs along with simulation results are given for better understanding of VHDL programming. Key features Well labelled illustrations provide practical understanding of the concepts. GATE level MCQs with answers (along with detailed explanation wherever required) at the end of each chapter help students to prepare for competitive examinations. Short questions with answers and appropriate number of review questions at the end of each chapter are useful for the students to prepare for university exams and competitive exams. Separate chapters on VHDL and Verilog programming along with simulated results are included to enhance the programming skills of HDL.

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776

Publisher

PHI Learning Pvt. Ltd.

Published Date

ISBN 10

8120349776

ISBN 13

9788120349773

Theory of Automata & Formal Languages

As Per UPTU Syllabus

By: A. M. Natarajan

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Theory of Automata & Formal Languages

As Per UPTU Syllabus

By: A. M. Natarajan

This Book Is Designed To Meet The Syllabus Of U.P. Technical University. This Book Also Meets The Requirements Of Students Preparing For Various Competitive Examinations. Professionals And Research Workers Can Also Use This Book As A Ready Reference. It Covers The Topics Like Finite State Automata, Pushdown Automata, Turing Machines, Undecidability And Chomosky Hierarchy.Salient Features# Simple And Clear Presentation# Includes More Than 300 Solved Problems# Comprehensive Introduction To Each Topic# Well Explained Theory With Constructive Examples

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438

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New Age International

Published Date

ISBN 10

8122417299

ISBN 13

9788122417296

An Introduction to Ultrametric Summability Theory

By: P.N. Natarajan

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An Introduction to Ultrametric Summability Theory

By: P.N. Natarajan

This is the second, completely revised and expanded edition of the author’s first book, covering numerous new topics and recent developments in ultrametric summability theory. Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis). Several mathematicians have contributed to summability theory as well as functional analysis. The book will appeal to both young researchers and more experienced mathematicians who are looking to explore new areas in analysis. The book is also useful as a text for those who wish to specialize in ultrametric summability theory.

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169

Publisher

Springer

Published Date

ISBN 10

8132225597

ISBN 13

9788132225591

Modern Atomic Physics

By: Vasant Natarajan

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Modern Atomic Physics

By: Vasant Natarajan

Much of our understanding of physics in the last 30-plus years has come from research on atoms, photons, and their interactions. Collecting information previously scattered throughout the literature, Modern Atomic Physics provides students with one unified guide to contemporary developments in the field.After reviewing metrology and preliminary mat

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440

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CRC Press

Published Date

ISBN 10

1482242044

ISBN 13

9781482242041

An Introductory Course in Summability Theory

By: Ants Aasma,Hemen Dutta,P. N. Natarajan

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An Introductory Course in Summability Theory

By: Ants Aasma,Hemen Dutta,P. N. Natarajan

An introductory course in summability theory for students, researchers, physicists, and engineers In creating this book, the authors’ intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects. Following a brief introduction to the history of summability theory, general matrix methods are introduced, and the Silverman-Toeplitz theorem on regular matrices is discussed. A variety of special summability methods, including the Nörlund method, the Weighted Mean method, the Abel method, and the (C, 1) - method are next examined. An entire chapter is devoted to a discussion of some elementary Tauberian theorems involving certain summability methods. Following this are chapters devoted to matrix transforms of summability and absolute summability domains of reversible and normal methods; the notion of a perfect matrix method; matrix transforms of summability and absolute summability domains of the Cesàro and Riesz methods; convergence and the boundedness of sequences with speed; and convergence, boundedness, and summability with speed. • Discusses results on matrix transforms of several matrix methods • The only English-language textbook describing the notions of convergence, boundedness, and summability with speed, as well as their applications in approximation theory • Compares the approximation orders of Fourier expansions in Banach spaces by different matrix methods • Matrix transforms of summability domains of regular perfect matrix methods are examined • Each chapter contains several solved examples and end-of-chapter exercises, including hints for solutions An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation. ANTS AASMA, PhD, is Associate Professor of Mathematical Economics in the Department of Economics and Finance at Tallinn University of Technology, Estonia. HEMEN DUTTA, PhD, is Senior Assistant Professor of Mathematics at Gauhati University, India. P.N. NATARAJAN, PhD, is Formerly Professor and Head of the Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, Tamilnadu, India.

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216

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119397693

ISBN 13

9781119397694

Functional Analysis and Summability

By: P.N. Natarajan

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Functional Analysis and Summability

By: P.N. Natarajan

There are excellent books on both functional analysis and summability. Most of them are very terse. In Functional Analysis and Summability, the author makes a sincere attempt for a gentle introduction of these topics to students. In the functional analysis component of the book, the Hahn–Banach theorem, Banach–Steinhaus theorem (or uniform boundedness principle), the open mapping theorem, the closed graph theorem, and the Riesz representation theorem are highlighted. In the summability component of the book, the Silverman–Toeplitz theorem, Schur’s theorem, the Steinhaus theorem, and the Steinhaus-type theorems are proved. The utility of functional analytic tools like the uniform boundedness principle to prove some results in summability theory is also pointed out. Features A gentle introduction of the topics to the students is attempted. Basic results of functional analysis and summability theory and their applications are highlighted. Many examples are provided in the text. Each chapter ends with useful exercises. This book will be useful to postgraduate students, pre-research level students, and research scholars in mathematics. Students of physics and engineering will also find this book useful since topics in the book also have applications in related areas.

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220

Publisher

CRC Press

Published Date

ISBN 10

1000191478

ISBN 13

9781000191479

Analysis of Queues

Methods and Applications

By: Natarajan Gautam

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Analysis of Queues

Methods and Applications

By: Natarajan Gautam

Analysis of queues is used in a variety of domains including call centers, web servers, internet routers, manufacturing and production, telecommunications, transportation, hospitals and clinics, restaurants, and theme parks. Combining elements of classical queueing theory with some of the recent advances in studying stochastic networks, this book covers a broad range of applications. It contains numerous real-world examples and industrial applications in all chapters. The text is suitable for graduate courses, as well as researchers, consultants and analysts that work on performance modeling or use queueing models as analysis tools.

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788

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CRC Press

Published Date

ISBN 10

1439806594

ISBN 13

9781439806593

Pillars of Transcendental Number Theory

By: Saradha Natarajan,Ravindranathan Thangadurai

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Pillars of Transcendental Number Theory

By: Saradha Natarajan,Ravindranathan Thangadurai

This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite–Lindemann–Weierstrass theorem, Gelfond–Schneider theorem, Schmidt’s subspace theorem and more. It also includes two theorems of Ramachandra which are not widely known and other interesting results derived on the values of Weierstrass elliptic function. Given the constantly growing number of applications of linear forms in logarithms, it is becoming increasingly important for any student wanting to work in this area to know the proofs of Baker’s original results. This book presents Baker’s original results in a format suitable for graduate students, with a focus on presenting the content in an accessible and simple manner. Each student-friendly chapter concludes with selected problems in the form of “Exercises” and interesting information presented as “Notes,” intended to spark readers’ curiosity.

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184

Publisher

Springer Nature

Published Date

ISBN 10

9811541558

ISBN 13

9789811541551

Classical Summability Theory

By: P.N. Natarajan

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Classical Summability Theory

By: P.N. Natarajan

This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable series and some product theorems. It also proves a number of Steinhaus type theorems. In addition, it introduces a new definition of convergence of a double sequence and double series and proves the Silverman-Toeplitz theorem for four-dimensional infinite matrices, as well as Schur's and Steinhaus theorems for four-dimensional infinite matrices. The Norlund method, the Weighted mean method and the Natarajan method for double sequences are also discussed in the context of the new definition. Divided into six chapters, the book supplements the material already discussed in G.H.Hardy's Divergent Series. It appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory..

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139

Publisher

Springer

Published Date

ISBN 10

9811042055

ISBN 13

9789811042058

Computer-Aided Power System Analysis

By: Ramasamy Natarajan

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Computer-Aided Power System Analysis

By: Ramasamy Natarajan

This title evaluates the performance, safety, efficiency, reliability and economics of a power delivery system. It emphasizes the use and interpretation of computational data to assess system operating limits, load level increases, equipment failure and mitigating procedures through computer-aided analysis to maximize cost-effectiveness.

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368

Publisher

CRC Press

Published Date

ISBN 10

0824744659

ISBN 13

9780824744656

Sequence Spaces and Summability over Valued Fields

By: P. N. Natarajan

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Sequence Spaces and Summability over Valued Fields

By: P. N. Natarajan

Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean). The book presents theory and methods in the chosen topic, spread over 8 chapters that seem to be important at research level in a still developing topic. Key Features Presented in a self-contained manner Provides examples and counterexamples in the relevant contexts Provides extensive references at the end of each chapter to enable the reader to do further research in the topic Presented in the same book, a comparative study of Archimedean and non-Archimedean Summability Theory Appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory The book is written by a very experienced educator and researcher in Mathematical Analysis particularly Summability Theory.

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217

Publisher

CRC Press

Published Date

ISBN 10

1000065413

ISBN 13

9781000065411

Statistical Relational Artificial Intelligence

Logic, Probability, and Computation

By: Luc De Kang,Kristian Chen,Sriraam Yu,David Genesereth

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Statistical Relational Artificial Intelligence

Logic, Probability, and Computation

By: Luc De Kang,Kristian Chen,Sriraam Yu,David Genesereth

An intelligent agent interacting with the real world will encounter individual people, courses, test results, drugs prescriptions, chairs, boxes, etc., and needs to reason about properties of these individuals and relations among them as well as cope with uncertainty. Uncertainty has been studied in probability theory and graphical models, and relations have been studied in logic, in particular in the predicate calculus and its extensions. This book examines the foundations of combining logic and probability into what are called relational probabilistic models. It introduces representations, inference, and learning techniques for probability, logic, and their combinations. The book focuses on two representations in detail: Markov logic networks, a relational extension of undirected graphical models and weighted first-order predicate calculus formula, and Problog, a probabilistic extension of logic programs that can also be viewed as a Turing-complete relational extension of Bayesian networks.

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175

Publisher

Springer Nature

Published Date

ISBN 10

3031015746

ISBN 13

9783031015748

Theory of Computation

By: A. M. Natarajan,P. Balasubramani

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Theory of Computation

By: A. M. Natarajan,P. Balasubramani

Theory Of Computation Emphasizes The Topics Such As Automata, Abstract Models Of Computation, And Computability. It Also Includes Computational Complexity, P And Np Completeness.The Book Covers The Entire Syllabus Prescribed By Anna University For Be (Cse), Jntu, Hyderabad And Nagpur University. This Book Also Meets The Requirements Of Students Preparing For Various Competitive Examinations. Professionals And Research Workers Can Also Use This Book As A Ready Reference.Salient Features * Presentation Is Lucid, Concise And Systematic * Includes More Than 300 Solved Problems. * Well Explained Theory With Constructive Examples.

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Page Count

478

Publisher

New Age International

Published Date

ISBN 10

8122414737

ISBN 13

9788122414738

Pro T-SQL 2012 Programmer's Guide

By: Michael Coles,Scott Shaw,Jay Natarajan,Rudi Bruchez

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Pro T-SQL 2012 Programmer's Guide

By: Michael Coles,Scott Shaw,Jay Natarajan,Rudi Bruchez

Pro T–SQL 2012 Programmer’s Guide is every developer’s key to making full use of SQL Server 2012’s powerful, built–in Transact–SQL language. Discussing new and existing features, the book takes you on an expert guided tour of Transact–SQL functionality. Fully functioning examples and downloadable source code bring technically accurate and engaging treatment of Transact–SQL into your own hands. Step–by–step explanations ensure clarity, and an advocacy of best–practices will steer you down the road to success. Transact–SQL is the language developers and DBAs use to interact with SQL Server. It’s used for everything from querying data, to writing stored procedures, to managing the database. New features in T-SQL 2012 include full support for window functions, stored sequences, the ability to throw errors, data paging, and more. All these important new features are covered in this book. Developers and DBAs alike can benefit from the expressive power of Transact-SQL, and Pro T-SQL 2012 Programmer's Guide provides the gateway to success in applying this increasingly important database language to everyday business and technical tasks.

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Page Count

678

Publisher

Apress

Published Date

ISBN 10

1430245972

ISBN 13

9781430245971

Machine Learning

A Theoretical Approach

By: Balas K. Natarajan

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Machine Learning

A Theoretical Approach

By: Balas K. Natarajan

This is the first comprehensive introduction to computational learning theory. The author's uniform presentation of fundamental results and their applications offers AI researchers a theoretical perspective on the problems they study. The book presents tools for the analysis of probabilistic models of learning, tools that crisply classify what is and is not efficiently learnable. After a general introduction to Valiant's PAC paradigm and the important notion of the Vapnik-Chervonenkis dimension, the author explores specific topics such as finite automata and neural networks. The presentation is intended for a broad audience--the author's ability to motivate and pace discussions for beginners has been praised by reviewers. Each chapter contains numerous examples and exercises, as well as a useful summary of important results. An excellent introduction to the area, suitable either for a first course, or as a component in general machine learning and advanced AI courses. Also an important reference for AI researchers.

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228

Publisher

Elsevier

Published Date

ISBN 10

0080510531

ISBN 13

9780080510538

Planning with Markov Decision Processes

An AI Perspective

By: Mausam Natarajan,Andrey Kolobov

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Planning with Markov Decision Processes

An AI Perspective

By: Mausam Natarajan,Andrey Kolobov

Markov Decision Processes (MDPs) are widely popular in Artificial Intelligence for modeling sequential decision-making scenarios with probabilistic dynamics. They are the framework of choice when designing an intelligent agent that needs to act for long periods of time in an environment where its actions could have uncertain outcomes. MDPs are actively researched in two related subareas of AI, probabilistic planning and reinforcement learning. Probabilistic planning assumes known models for the agent's goals and domain dynamics, and focuses on determining how the agent should behave to achieve its objectives. On the other hand, reinforcement learning additionally learns these models based on the feedback the agent gets from the environment. This book provides a concise introduction to the use of MDPs for solving probabilistic planning problems, with an emphasis on the algorithmic perspective. It covers the whole spectrum of the field, from the basics to state-of-the-art optimal and approximation algorithms. We first describe the theoretical foundations of MDPs and the fundamental solution techniques for them. We then discuss modern optimal algorithms based on heuristic search and the use of structured representations. A major focus of the book is on the numerous approximation schemes for MDPs that have been developed in the AI literature. These include determinization-based approaches, sampling techniques, heuristic functions, dimensionality reduction, and hierarchical representations. Finally, we briefly introduce several extensions of the standard MDP classes that model and solve even more complex planning problems. Table of Contents: Introduction / MDPs / Fundamental Algorithms / Heuristic Search Algorithms / Symbolic Algorithms / Approximation Algorithms / Advanced Notes

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Page Count

204

Publisher

Springer Nature

Published Date

ISBN 10

3031015592

ISBN 13

9783031015595

JSP

A Beginner's Guide

By: Gary Bollinger,Bharathi Natarajan

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JSP

A Beginner's Guide

By: Gary Bollinger,Bharathi Natarajan

JavaServer Pages (JSP) are a popular way to deliver dynamic content to otherwise static HTML pages. JSPs are executed on Web servers and are used to generate interactive, viewer specific information. This title provides a learning tool for entry level programmers.

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532

Publisher

Beginner's Guides (Osborne)

Published Date

ISBN 10

0072133198

ISBN 13

9780072133196

Fundamentals of Digital Electronics

By: Dhanasekharan Natarajan

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Fundamentals of Digital Electronics

By: Dhanasekharan Natarajan

This book presents the fundamentals of digital electronics in a focused and comprehensivemanner with many illustrations for understanding of the subject with high clarity. DigitalSignal Processing (DSP) application information is provided for many topics of the subjectto appreciate the practical significance of learning. To summarize, this book lays afoundation for students to become DSP engineers.

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313

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Springer Nature

Published Date

ISBN 10

3030361969

ISBN 13

9783030361969

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