The Block Theory of Finite Group Algebras: Volume 1
The Block Theory of Finite Group Algebras: Volume 1

Author: Markus Linckelmann

Publisher: Cambridge University Press

Published: 2018-05-24

Total Pages: 527

ISBN-13: 1108575315

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This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.

CCNA 200-301 Official Cert Guide, Volume 1
CCNA 200-301 Official Cert Guide, Volume 1

Author: Wendell Odom

Publisher: Cisco Press

Published: 2024-05-24

Total Pages: 1921

ISBN-13: 0138229708

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Trust the best-selling Official Cert Guide series from Cisco Press to help you learn, prepare, and practice for exam success. They are built with the objective of providing assessment, review, and practice to help ensure you are fully prepared for your certification exam. Master Cisco CCNA 200-301 exam topics Assess your knowledge with chapter-opening quizzes Review key concepts with exam preparation tasks Practice with realistic exam questions in the practice test software CCNA 200-301 Official Cert Guide, Volume 1, Second Edition from Cisco Press enables you to succeed on the exam the first time and is the only self-study resource approved by Cisco. Best-selling author Wendell Odom shares preparation hints and test-taking tips, helping you identify areas of weakness and improve both your conceptual knowledge and hands-on skills. This complete study package includes A test-preparation routine proven to help you pass the exams Do I Know This Already? quizzes, which enable you to decide how much time you need to spend on each section Chapter-ending Key Topic tables, which help you drill on key concepts you must know thoroughly The powerful Pearson Test Prep Practice Test software, complete with hundreds of well-reviewed, exam-realistic questions, customization options, and detailed performance reports A free copy of the CCNA 200-301 Network Simulator Lite software, complete with meaningful lab exercises that help you hone your hands-on skills with the command-line interface for routers and switches Links to a series of hands-on config labs developed by the author Online, interactive practice exercises that help you enhance your knowledge and hone your configuration skills 6+ hours of video mentoring from the author Study plan suggestions and templates to help you organize and optimize your study time An online, interactive Flash Cards application to help you drill on Key Terms by chapter Well regarded for its level of detail, study plans, assessment features, hands-on labs, and challenging review questions and exercises, this official study guide helps you master the concepts and techniques that ensure your exam success. This official study guide has been fully updated helping you master the topics on the latest CCNA 200-301 exam. Volume 1 topic coverage includes Networking fundamentals Implementing Ethernet LANs Implementing VLANs and STP IPv4 addressing and subnetting IPv4 routing Implementing OSPF IPv6 addressing, subnetting, and routing Content Update Program This fully updated second edition includes the latest topics and additional information covering changes to the latest CCNA 200-301 exam. Visit ciscopress.com/newcerts for information on annual digital updates for this book that align to Cisco exam blueprint version changes. Companion Website: The companion website contains more than 400 unique practice exam questions, CCNA Network Simulator Lite software, online review and practice exercises, key term flash cards, and 6+ hours of video training. In addition to the wealth of updated content, this new edition includes a series of free hands-on exercises to help you master several real-world configuration and troubleshooting activities. These exercises can be performed on the CCNA 200-301 Network Simulator Lite, Volume 1 software included for free on the companion website that accompanies this book. This software, which simulates the experience of working on actual Cisco routers and switches, contains the following free lab exercises, covering topics in Part II and Part III, the first hands-on configuration sections of the book: Configuring Local Usernames Configuring Hostnames Interface Status I Interface Status II Interface Status III Interface Status IV Configuring Switch IP Settings Switch IP Address Switch IP Connectivity I Switch CLI Configuration Process I Switch CLI Configuration Process II Switch CLI Exec Mode Setting Switch Passwords Interface Settings I Interface Settings II Interface Settings III Switch Forwarding I Switch Security I Switch Interfaces and Forwarding Configuration Scenario Configuring VLANs Configuration Scenario VLAN Troubleshooting

Handbook of Combinatorics Volume 1
Handbook of Combinatorics Volume 1

Author: Bozzano G Luisa

Publisher: Elsevier

Published: 1995-12-11

Total Pages: 1121

ISBN-13: 0080933351

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Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

CCIE Routing and Switching V5.0 Official Cert Guide, Volume 1, Fifth Edition
CCIE Routing and Switching V5.0 Official Cert Guide, Volume 1, Fifth Edition

Author: Narbik Kocharians

Publisher: Cisco Press

Published: 2014

Total Pages: 1567

ISBN-13: 013348159X

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CCIE Routing and Switching v5.0 Official Cert Guide, Volume 1 Fifth Edition CCIE Routing and Switching v5.0 Official Cert Guide, Volume 1, Fifth Edition from CiscoPress enables you to succeed on the exam the first time and is the only self-study resource approved by Cisco. Expert instructors Narbik Kocharians and Peter Palúch share preparation hints and test-taking tips, helping you identify areas of weakness and improve both your conceptual knowledge and hands-on skills. This first of two volumes covers LAN switching, IP networking, and IP IGP routing topics. This complete study package includes --A test-preparation routine proven to help you pass the exams --"Do I Know This Already?" quizzes, which enable you to decide how much time you need to spend on each section --Chapter-ending exercises, which help you drill on key concepts you must know thoroughly --The powerful Pearson IT Certification Practice Test software, complete with hundreds of well-reviewed, exam-realistic questions, customization options, and detailed performance reports --A final preparation chapter, which guides you through tools and resources to help you craft your review and test-taking strategies --Study plan suggestions and templates to help you organize and optimize your study time Well regarded for its level of detail, study plans, assessment features, challenging review questions and exercises, this official study guide helps you master the concepts and techniques that ensure your exam success. CCIE Routing and Switching v5.0 Official Cert Guide, Volume 1, Fifth Edition is part of a recommended learning path from Cisco that includes simulation and hands-on training from authorized Cisco Learning Partners and self-study products from Cisco Press. To find out more about instructor-led training, e-learning, and hands-on instruction offered by authorized Cisco Learning Partners worldwide, please visit www.cisco.com/go/authorizedtraining. The official study guide helps you master topics on the CCIE Routing and Switching v5.0 exams, including --Virtual LANs and VLAN Trunking --Spanning Tree Protocol (STP) --IP services (ARP, NTP, DHCP, NAT, SNMP, NetFlow, and more) --RIPv2 and RIPng --EIGRP --OSPF v2 and v3 --IS-IS --Route redistribution, route summarization, default routing, and performance routing Companion CD-ROM The CD-ROM contains 200 practice questions for the exam. Includes Exclusive Offer for 70% Off Premium Edition eBook and Practice Test Pearson IT Certificati ...

Fourier Analysis: Volume 1, Theory
Fourier Analysis: Volume 1, Theory

Author: Adrian Constantin

Publisher: Cambridge University Press

Published: 2016-05-31

Total Pages: 368

ISBN-13: 1316670805

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Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study.

Classes of Linear Operators Vol. I
Classes of Linear Operators Vol. I

Author: Israel Gohberg

Publisher: Birkhäuser

Published: 2013-03-09

Total Pages: 479

ISBN-13: 3034875096

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After the book "Basic Operator Theory" by Gohberg-Goldberg was pub lished, we, that is the present authors, intended to continue with another book which would show the readers the large variety of classes of operators and the important role they play in applications. The book was planned to be of modest size, but due to the profusion of results in this area of analysis, the number of topics grew larger than ex pected. Consequently, we decided to divide the material into two volumes - the first volume being presented now. During the past years, courses and seminars were given at our respective in stitutions based on parts of the texts. These were well received by the audience and enabled us to make appropriate choices for the topics and presentation for the two vol umes. We would like to thank G.J. Groenewald, A.B. Kuijper and A.C.M. Ran of the Vrije Universiteit at Amsterdam, who provided us with lists of remarks and corrections. We are now aware that the Basic Operator Theory book should be revised so that it may suitably fit in with our present volumes. This revision is planned to be the last step of an induction and not the first.

Mathematics for IIT-JEE Main & Advanced Volume 1
Mathematics for IIT-JEE Main & Advanced Volume 1

Author: M.L. Khanna

Publisher: S. Chand Publishing

Published:

Total Pages: 1076

ISBN-13: 9355014007

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This new edition of a very well-known and popular IIT-JEE Mathematics prep book carries all its hallmark features of the earlier editions. Along with exploration of theory, deƒOnitions and derivations, the book carries a plenty of solved examples - from simple ones to more complex and tough problems in each chapter - to hand-hold students into the process of problem solving. After every important topic, problem exercises have been given which the students are expected to solve on their own. Hints and solutions of these are given in case the students need to refer to these. Apart from the newer Main and Advanced problems, this edition carries all the old classic problems of the past decades from JEE as well as other similar examinations, because many such questions and their solutions are thought to be extremely important for developing a proper pedagogical approach to solving IIT-JEE Mathematics problems irrespective of year of examination. An assortment of selected problems of Main and Advanced exams of the last 5 years have been given at the end of the book along with solutions which the students can use as integrative practice questions and also get familiar with the trends of the recently held examinations. For an audio-visual demo and to get a closer look-and-feel of solving questions live, students are advised to go through the videos given for each chapter by scanning the QR codes given on the chapter-opening page. Each of these videos have been prepared with utmost care by keeping the natural ƒPow of treatment of the concepts in the book. These are accessible free of any additional cost to the students!