An Introduction to Measure Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470466406
Total Pages : 206 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Introduction to Measure Theory by : Terence Tao

Download or read book An Introduction to Measure Theory written by Terence Tao and published by American Mathematical Soc.. This book was released on 2021-09-03 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.

Combinatorics: The Art of Counting

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Publisher : American Mathematical Soc.
ISBN 13 : 1470460327
Total Pages : 304 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Combinatorics: The Art of Counting by : Bruce E. Sagan

Download or read book Combinatorics: The Art of Counting written by Bruce E. Sagan and published by American Mathematical Soc.. This book was released on 2020-10-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.

Discrete Mathematics and Its Applications

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Publisher :
ISBN 13 : 9780071244749
Total Pages : 109 pages
Book Rating : 4.2/5 (447 download)

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Book Synopsis Discrete Mathematics and Its Applications by : Kenneth H. Rosen

Download or read book Discrete Mathematics and Its Applications written by Kenneth H. Rosen and published by . This book was released on 2007 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The companion Web site -- To the student -- The foundations : logic, sets, and functions -- The fundamentals : algorithms, the integers, and matrices -- Mathematical reasoning -- Counting -- Advanced counting techniques -- Relations -- Graphs -- Trees -- Boolean algebra -- Modeling computation

Signaling in Telecommunication Networks

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Publisher : John Wiley & Sons
ISBN 13 : 0471662887
Total Pages : 837 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Signaling in Telecommunication Networks by : John G. van Bosse

Download or read book Signaling in Telecommunication Networks written by John G. van Bosse and published by John Wiley & Sons. This book was released on 2006-11-28 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guidance to help you grasp even the most complex network structures and signaling protocols The Second Edition of Signaling in Telecommunication Networks has been thoroughly updated, offering new chapters and sections that cover the most recent developments in signaling systems and procedures. This acclaimed book covers subscriber and network signaling in both fixed and mobile networks. Coverage begins with an introduction to circuit-switched telephone networks, including an examination of trunks, exchanges, access systems, transmission systems, and other basic components. Next, the authors introduce signaling concepts, beginning with older Channel Associated Signaling (CAS) systems and progressing to today's Common Channel Signaling (CCS) systems. The book then examines packet networks and their use in transmitting voice (VoIP), TCP/IP protocols, VoIP signaling protocols, and ATM protocols. Throughout the book, the authors emphasize functionality, particularly the roles of individual protocols and how they fit in network architectures, helping readers grasp even the most complex network structures and signaling protocols. Highlights of the Second Edition include: Coverage of the latest developments and topics, including new chapters on access networks, intelligent network application part, signaling for voice communication in packet networks, and ATM signaling Drawings and tables that help readers understand and visualize complex systems Comprehensive, updated references for further study Examples to help readers make the bridge from theory to application With the continued growth and expansion of the telecommunications industry, the Second Edition is essential reading for telecommunications students as well as anyone involved in this dynamic industry needing a solid understanding of the different signaling systems and how they work. Moreover, the book helps readers wade through the voluminous and complex technical standards by providing the essential structure, terminology, and functionality needed to understand them.

Linear Algebra and Matrices

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Publisher : SIAM
ISBN 13 : 1611975131
Total Pages : 301 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Linear Algebra and Matrices by : Shmuel Friedland

Download or read book Linear Algebra and Matrices written by Shmuel Friedland and published by SIAM. This book was released on 2018-01-30 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook grew out of several courses in linear algebra given over more than a decade and includes such helpful material as constructive discussions about the motivation of fundamental concepts, many worked-out problems in each chapter, and topics rarely covered in typical linear algebra textbooks.The authors use abstract notions and arguments to give the complete proof of the Jordan canonical form and, more generally, the rational canonical form of square matrices over fields. They also provide the notion of tensor products of vector spaces and linear transformations. Matrices are treated in depth, with coverage of the stability of matrix iterations, the eigenvalue properties of linear transformations in inner product spaces, singular value decomposition, and min-max characterizations of Hermitian matrices and nonnegative irreducible matrices. The authors show the many topics and tools encompassed by modern linear algebra to emphasize its relationship to other areas of mathematics. The text is intended for advanced undergraduate students. Beginning graduate students seeking an introduction to the subject will also find it of interest.

Understanding Telecommunications Networks

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Publisher : IET
ISBN 13 : 0863413625
Total Pages : 352 pages
Book Rating : 4.8/5 (634 download)

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Book Synopsis Understanding Telecommunications Networks by : Andy Valdar

Download or read book Understanding Telecommunications Networks written by Andy Valdar and published by IET. This book was released on 2006-11-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad introduction to all aspects of modern telecommunications networks, covering the principles of operation of the technology and the way that networks using this technology are structured. The main focus is on those technologies in use today and the next generation networks (NGN) and how they will be implemented.

CAMEL

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Publisher : John Wiley & Sons
ISBN 13 : 0470028475
Total Pages : 428 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis CAMEL by : Rogier Noldus

Download or read book CAMEL written by Rogier Noldus and published by John Wiley & Sons. This book was released on 2006-08-04 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to use CAMEL to transfer the Intelligent Network concept to the mobile world! CAMEL (Customized Application for the Mobile network Enhanced Logic) is a standard for Intelligent Networks for mobile communications networks. It is currently deployed in all regions of the world, enabling mobile network operators to offer fast and efficient services to their subscribers. This book is an in-depth and dedicated reference on CAMEL, taking the reader through the history and development of Intelligent Networks and the essential principles of CAMEL, to the future of the technology. The author provides guidance on the various standards and specifications, and explains not only how CAMEL works but also why it works this way. Practical hints on the installation of CAMEL in the network are given throughout the book. CAMEL: Intelligent Networks for the GSM, GPRS and UMTS Network: Offers a comprehensive guide to implementing CAMEL. Gives a complete picture, including the network entities & data flows involved. Describes and explains the four CAMEL phases and their aspects. Presents an overview of the principles of Intelligent Networks, such as Finite State Machines, Trigger Detection Points, Event Detection Points and dialogue, essential to understanding CAMEL. Covers charging and accounting issues, and the impact of CAMEL on the charging system in the mobile network. Provides practical hints over and above those mentioned in the formal specifications. This text will be an invaluable resource for intelligent network service logic designers, service network designers, network engineers, and GSM/UMTS network designers and implementers. Advanced students on courses such as ‘Intelligent Networks’, ‘Value Added Services’, and ‘Service Networks’ will also find it an excellent guide to the topic.

From GSM to LTE-Advanced

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Publisher : John Wiley & Sons
ISBN 13 : 1118861922
Total Pages : 579 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis From GSM to LTE-Advanced by : Martin Sauter

Download or read book From GSM to LTE-Advanced written by Martin Sauter and published by John Wiley & Sons. This book was released on 2014-06-23 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition of Communication Systems from GSM to LTE: An Introduction to Mobile Networks and Mobile Broadband Second Edition (Wiley 2010) contains not only a technical description of the different wireless systems available today, but also explains the rationale behind the different mechanisms and implementations; not only the ‘how’ but also the ‘why’. In this way, the advantages and also limitations of each technology become apparent. Offering a solid introduction to major global wireless standards and comparisons of the different wireless technologies and their applications, this edition has been updated to provide the latest directions and activities in 3GPP standardization up to Release 12, and importantly includes a new chapter on Voice over LTE (VoLTE). There are new sections on Building Blocks of a Voice Centric Device, Building Blocks of a Smart Phone, Fast Dormancy, IMS and High-Speed Downlink Packet Access, and Wi-Fi-Protected Setup. Other sections have been considerably updated in places reflecting the current state of the technology. • Describes the different systems based on the standards, their practical implementation and design assumptions, and the performance and capacity of each system in practice is analyzed and explained • Questions at the end of each chapter and answers on the accompanying website make this book ideal for self-study or as course material

3G Handset and Network Design

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Publisher : John Wiley & Sons
ISBN 13 : 0471455261
Total Pages : 563 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis 3G Handset and Network Design by : Geoff Varrall

Download or read book 3G Handset and Network Design written by Geoff Varrall and published by John Wiley & Sons. This book was released on 2003-03-11 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Third Generation (3G) wireless networks are in the works in Europe and Asia, and 2.5G networks that incorporate some 3G features are being rolled out in the United States Hands-on guide to integrating cell phone or PDA/portable PC products with present and future wireless network hardware Addresses topics such as quality of service (QoS) and service level agreements (SLAs) from a wireless perspective Presents an in-depth review of both handset and network hardware and software

Introduction to Analysis in One Variable

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470456680
Total Pages : 247 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Introduction to Analysis in One Variable by : Michael E. Taylor

Download or read book Introduction to Analysis in One Variable written by Michael E. Taylor and published by American Mathematical Soc.. This book was released on 2020-08-11 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a text for students who have had a three-course calculus sequence and who are ready to explore the logical structure of analysis as the backbone of calculus. It begins with a development of the real numbers, building this system from more basic objects (natural numbers, integers, rational numbers, Cauchy sequences), and it produces basic algebraic and metric properties of the real number line as propositions, rather than axioms. The text also makes use of the complex numbers and incorporates this into the development of differential and integral calculus. For example, it develops the theory of the exponential function for both real and complex arguments, and it makes a geometrical study of the curve (expit) (expit), for real t t, leading to a self-contained development of the trigonometric functions and to a derivation of the Euler identity that is very different from what one typically sees. Further topics include metric spaces, the Stone–Weierstrass theorem, and Fourier series.

High-level Synthesis

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Publisher : Xlibris Corporation
ISBN 13 : 1450097243
Total Pages : 334 pages
Book Rating : 4.4/5 (5 download)

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Book Synopsis High-level Synthesis by : Michael Fingeroff

Download or read book High-level Synthesis written by Michael Fingeroff and published by Xlibris Corporation. This book was released on 2010 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you an RTL or system designer that is currently using, moving, or planning to move to an HLS design environment? Finally, a comprehensive guide for designing hardware using C++ is here. Michael Fingeroff's High-Level Synthesis Blue Book presents the most effective C++ synthesis coding style for achieving high quality RTL. Master a totally new design methodology for coding increasingly complex designs! This book provides a step-by-step approach to using C++ as a hardware design language, including an introduction to the basics of HLS using concepts familiar to RTL designers. Each chapter provides easy-to-understand C++ examples, along with hardware and timing diagrams where appropriate. The book progresses from simple concepts such as sequential logic design to more complicated topics such as memory architecture and hierarchical sub-system design. Later chapters bring together many of the earlier HLS design concepts through their application in simplified design examples. These examples illustrate the fundamental principles behind C++ hardware design, which will translate to much larger designs. Although this book focuses primarily on C and C++ to present the basics of C++ synthesis, all of the concepts are equally applicable to SystemC when describing the core algorithmic part of a design. On completion of this book, readers should be well on their way to becoming experts in high-level synthesis.

The U.S. Milling and Baking Industries

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Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis The U.S. Milling and Baking Industries by : Joy L. Harwood

Download or read book The U.S. Milling and Baking Industries written by Joy L. Harwood and published by . This book was released on 1989 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Optimal Transportation

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Publisher : American Mathematical Soc.
ISBN 13 : 1470467267
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topics in Optimal Transportation by : Cédric Villani

Download or read book Topics in Optimal Transportation written by Cédric Villani and published by American Mathematical Soc.. This book was released on 2021-08-25 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.

Foreign Operations, Export Financing, and Related Programs Appropriations for Fiscal Year 2005

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Publisher :
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.:/5 (51 download)

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Book Synopsis Foreign Operations, Export Financing, and Related Programs Appropriations for Fiscal Year 2005 by : United States. Congress. Senate. Committee on Appropriations. Subcommittee on Foreign Operations, Export Financing, and Related Programs

Download or read book Foreign Operations, Export Financing, and Related Programs Appropriations for Fiscal Year 2005 written by United States. Congress. Senate. Committee on Appropriations. Subcommittee on Foreign Operations, Export Financing, and Related Programs and published by . This book was released on 2005 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hilbert's Fifth Problem and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 147041564X
Total Pages : 354 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Hilbert's Fifth Problem and Related Topics by : Terence Tao

Download or read book Hilbert's Fifth Problem and Related Topics written by Terence Tao and published by American Mathematical Soc.. This book was released on 2014-07-18 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the fifth of his famous list of 23 problems, Hilbert asked if every topological group which was locally Euclidean was in fact a Lie group. Through the work of Gleason, Montgomery-Zippin, Yamabe, and others, this question was solved affirmatively; more generally, a satisfactory description of the (mesoscopic) structure of locally compact groups was established. Subsequently, this structure theory was used to prove Gromov's theorem on groups of polynomial growth, and more recently in the work of Hrushovski, Breuillard, Green, and the author on the structure of approximate groups. In this graduate text, all of this material is presented in a unified manner, starting with the analytic structural theory of real Lie groups and Lie algebras (emphasising the role of one-parameter groups and the Baker-Campbell-Hausdorff formula), then presenting a proof of the Gleason-Yamabe structure theorem for locally compact groups (emphasising the role of Gleason metrics), from which the solution to Hilbert's fifth problem follows as a corollary. After reviewing some model-theoretic preliminaries (most notably the theory of ultraproducts), the combinatorial applications of the Gleason-Yamabe theorem to approximate groups and groups of polynomial growth are then given. A large number of relevant exercises and other supplementary material are also provided.

Fundamentals of Wireless Communication

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Publisher : Cambridge University Press
ISBN 13 : 9780521845274
Total Pages : 598 pages
Book Rating : 4.8/5 (452 download)

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Book Synopsis Fundamentals of Wireless Communication by : David Tse

Download or read book Fundamentals of Wireless Communication written by David Tse and published by Cambridge University Press. This book was released on 2005-05-26 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook takes a unified view of the fundamentals of wireless communication and explains cutting-edge concepts in a simple and intuitive way. An abundant supply of exercises make it ideal for graduate courses in electrical and computer engineering and it will also be of great interest to practising engineers.

Ordinary Differential Equations and Dynamical Systems

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Publisher : American Mathematical Society
ISBN 13 : 147047641X
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Ordinary Differential Equations and Dynamical Systems by : Gerald Teschl

Download or read book Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl and published by American Mathematical Society. This book was released on 2024-01-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm–Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincaré–Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman–Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.