Ping Zhang - Böcker

For courses in Transition to Advanced Mathematics or Introduction to Proof.

Meticulously crafted, student-friendly text that helps build mathematical maturity

Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition introduces students to proof techniques, analyzing proofs, and writing proofs of their own that are not only mathematically correct but clearly written. Written in a student-friendly manner, it provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as optional excursions into fields such as number theory, combinatorics, and calculus. The exercises receive consistent praise from users for their thoughtfulness and creativity.  They help students progress from understanding and analyzing proofs and techniques to producing well-constructed proofs independently. This book is also an excellent reference for students to use in future courses when writing or reading proofs.

0134746759 / 9780134746753 Chartrand/Polimeni/Zhang, Mathematical Proofs: A Transition to Advanced Mathematics, 4/e

Ultrasonic Chemical Process Intensification focuses on acoustic foundations and ultrasound cavitation. The book describes the theory and methodologies of ultrasonic enhanced chemical reaction, mass and heat transfer process, mechanical separation, pulverization process, and other unit operation processes. Users will find various sonochemical reactors and industrial ultrasonic processing equipment and devices as well as the application and progress of ultrasonic enhanced chemical reaction process, electrochemistry, materials chemistry and process industries.Finally, the book specifies the main problems and challenges and provides suggestions and prospects for future development of ultrasonic chemical process intensification.

Covers basic theories of ultrasonic intensify chemical processes and unit operation, including ultrasonic transmission and chemical reaction processesProvides possible research application scopes, processes, and comments of ultrasonic intensification process technologyIntroduces principles and processes of ultrasonic intensification, providing information on device requirements during the process of research and developmentIncludes a list of literature on acoustic principles and ultrasonic intensification for non-acoustic professionals

Written by two of the most prominent figures in the field of graph theory, this comprehensive text provides a remarkably student-friendly approach. Geared toward undergraduates taking a first course in graph theory, its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

Graph theory goes back several centuries and revolves around the study of graphs--mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics--and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.

"Human-Computer Interaction and Management Information Systems: Foundations" offers state-of-the-art research by a distinguished set of authors who span the MIS and HCI fields. The original chapters provide authoritative commentaries and in-depth descriptions of research programs that will guide 21st century scholars, graduate students, and industry professionals. Human-Computer Interaction (or Human Factors) in MIS is concerned with the ways humans interact with information, technologies, and tasks, especially in business, managerial, organizational, and cultural contexts. It is distinctive in many ways when compared with HCI studies in other disciplines. The MIS perspective affords special importance to managerial and organizational contexts by focusing on analysis of tasks and outcomes at a level that considers organizational effectiveness. With the recent advancement of technologies and development of many sophisticated applications, human-centeredness in MIS has become more critical than ever before. This book focuses on the basics of HCI, with emphasis on concepts, issues, theories, and models that are related to understanding human tasks, and the interactions among humans, tasks, information, and technologies in organizational contexts in general.

Graphs & Digraphs, Seventh Edition masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory. This classic text, widely popular among students and instructors alike for decades, is thoroughly streamlined in this new, seventh edition, to present a text consistent with contemporary expectations.Changes and updates to this edition include:A rewrite of four chapters from the ground upStreamlining by over a third for efficient, comprehensive coverage of graph theoryFlexible structure with foundational Chapters 1–6 and customizable topics in Chapters 7–11Incorporation of the latest developments in fundamental graph theoryStatements of recent groundbreaking discoveries, even if proofs are beyond scopeCompletely reorganized chapters on traversability, connectivity, coloring, and extremal graph theory to reflect recent developmentsThe text remains the consummate choice for an advanced undergraduate level or introductory graduate-level course exploring the subject’s fascinating history, while covering a host of interesting problems and diverse applications. Our major objective is to introduce and treat graph theory as the beautiful area of mathematics we have always found it to be. We have striven to produce a reader-friendly, carefully written book that emphasizes the mathematical theory of graphs, in all their forms. While a certain amount of mathematical maturity, including a solid understanding of proof, is required to appreciate the material, with a small number of exceptions this is the only pre-requisite.In addition, owing to the exhilarating pace of progress in the field, there have been countless developments in fundamental graph theory ever since the previous edition, and many of these discoveries have been incorporated into the book. Of course, some of the proofs of these results are beyond the scope of the book, in which cases we have only included their statements. In other cases, however, these new results have led us to completely reorganize our presentation. Two examples are the chapters on coloring and extremal graph theory.

With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition

Graphs & Digraphs, Seventh Edition masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory. This classic text, widely popular among students and instructors alike for decades, is thoroughly streamlined in this new, seventh edition, to present a text consistent with contemporary expectations.Changes and updates to this edition include:A rewrite of four chapters from the ground upStreamlining by over a third for efficient, comprehensive coverage of graph theoryFlexible structure with foundational Chapters 1–6 and customizable topics in Chapters 7–11Incorporation of the latest developments in fundamental graph theoryStatements of recent groundbreaking discoveries, even if proofs are beyond scopeCompletely reorganized chapters on traversability, connectivity, coloring, and extremal graph theory to reflect recent developmentsThe text remains the consummate choice for an advanced undergraduate level or introductory graduate-level course exploring the subject’s fascinating history, while covering a host of interesting problems and diverse applications. Our major objective is to introduce and treat graph theory as the beautiful area of mathematics we have always found it to be. We have striven to produce a reader-friendly, carefully written book that emphasizes the mathematical theory of graphs, in all their forms. While a certain amount of mathematical maturity, including a solid understanding of proof, is required to appreciate the material, with a small number of exceptions this is the only pre-requisite.In addition, owing to the exhilarating pace of progress in the field, there have been countless developments in fundamental graph theory ever since the previous edition, and many of these discoveries have been incorporated into the book. Of course, some of the proofs of these results are beyond the scope of the book, in which cases we have only included their statements. In other cases, however, these new results have led us to completely reorganize our presentation. Two examples are the chapters on coloring and extremal graph theory.

Auditing has become an essential component in market societies and the need for auditing skills has risen in line with globalization. This textbook provides a comprehensive overview of the role of financial statement auditing in contemporary society, including the auditor’s role in evaluating the financial reporting of an auditee—a topic of central concern in the recent comprehensive review of the auditing profession in the Brydon Report (2019).The experienced authors provide insight into auditing research to help readers understand its function, regulation, and role in theory and practice. With focus on private sector financial statement auditing and its regulation, the book includes perspectives on social theory, history, and the importance of professional standards. The thought-provoking final chapter challenges students to consider the effectiveness of auditing in evaluating increasingly risky and complex accounting estimates involving assumptions about future events.A fundamental approach to auditing theory, this textbook will be useful reading for advanced undergraduate and postgraduate students across business and accounting fields.

Auditing has become an essential component in market societies and the need for auditing skills has risen in line with globalization. This textbook provides a comprehensive overview of the role of financial statement auditing in contemporary society, including the auditor’s role in evaluating the financial reporting of an auditee—a topic of central concern in the recent comprehensive review of the auditing profession in the Brydon Report (2019).The experienced authors provide insight into auditing research to help readers understand its function, regulation, and role in theory and practice. With focus on private sector financial statement auditing and its regulation, the book includes perspectives on social theory, history, and the importance of professional standards. The thought-provoking final chapter challenges students to consider the effectiveness of auditing in evaluating increasingly risky and complex accounting estimates involving assumptions about future events.A fundamental approach to auditing theory, this textbook will be useful reading for advanced undergraduate and postgraduate students across business and accounting fields.

With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition

"Human-Computer Interaction and Management Information Systems: Foundations" offers state-of-the-art research by a distinguished set of authors who span the MIS and HCI fields. The original chapters provide authoritative commentaries and in-depth descriptions of research programs that will guide 21st century scholars, graduate students, and industry professionals. Human-Computer Interaction (or Human Factors) in MIS is concerned with the ways humans interact with information, technologies, and tasks, especially in business, managerial, organizational, and cultural contexts. It is distinctive in many ways when compared with HCI studies in other disciplines. The MIS perspective affords special importance to managerial and organizational contexts by focusing on analysis of tasks and outcomes at a level that considers organizational effectiveness. With the recent advancement of technologies and development of many sophisticated applications, human-centeredness in MIS has become more critical than ever before. This book focuses on the basics of HCI, with emphasis on concepts, issues, theories, and models that are related to understanding human tasks, and the interactions among humans, tasks, information, and technologies in organizational contexts in general.

Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses.

In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition—over 400 pages longer than its predecessor—incorporates 14 new sections. Each chapter includes lists of essential definitions and facts, accompanied by examples, tables, remarks, and, in some cases, conjectures and open problems. A bibliography at the end of each chapter provides an extensive guide to the research literature and pointers to monographs. In addition, a glossary is included in each chapter as well as at the end of each section. This edition also contains notes regarding terminology and notation.With 34 new contributors, this handbook is the most comprehensive single-source guide to graph theory. It emphasizes quick accessibility to topics for non-experts and enables easy cross-referencing among chapters.

Driven by the increasing demand for capacity and Quality of Service in wireless cellular networks and motivated by the distributed antenna system, the authors proposed a cooperative communication architecture—Group Cell architecture, which was initially brought forward in 2001. Years later, Coordinated Multiple-Point Transmission and Reception (CoMP) for LTE-Advanced was put forward in April 2008, as a tool to improve the coverage of cells having high data rates, the cell-edge throughput and/or to increase system throughput. This book mainly focuses on the Group Cell architecture with multi-cell generalized coordination, Contrast Analysis between Group Cell architecture and CoMP, Capacity Analysis, Slide Handover Strategy, Power Allocation schemes of Group Cell architecture to mitigate the inter-cell interference and maximize system capacity and the trial network implementation and performance evaluations of Group Cell architecture.

Covering Walks in Graphs is aimed at researchers and graduate students in the graph theory community and provides a comprehensive treatment on measures of two well studied graphical properties, namely Hamiltonicity and traversability in graphs.

Beginning with the origin of the four color problem in 1852, the field of graph colorings has developed into one of the most popular areas of graph theory. Introducing graph theory with a coloring theme, Chromatic Graph Theory explores connections between major topics in graph theory and graph colorings as well as emerging topics. This self-contained book first presents various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. The remainder of the text deals exclusively with graph colorings. It covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings, and many distance-related vertex colorings.With historical, applied, and algorithmic discussions, this text offers a solid introduction to one of the most popular areas of graph theory.

This book depicts graph labelings that have led to thought-provoking problems and conjectures. Problems and conjectures in graceful labelings, harmonious labelings, prime labelings, additive labelings, and zonal labelings are introduced with fundamentals, examples, and illustrations.

The purpose of this book is to provide background and principal results on these topics, along with same related problems and conjectures, for researchers in these areas.

Die Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891, is often considered the first strictly theoretical paper dealing with graphs.

This monograph offers a detailed analysis of the creation, pilot implementation, and possible wide adoption of the real property tax at the local level in China. Starting in 2003, as China’s economy gradually recovered from the Asian financial crisis that started in 1998, the real property market entered a period of rapid expansion, followed immediately by rampant speculation, rising housing costs, and official corruption. Over the last ten years, the price of real property in most cities has more than tripled, especially in metropolitan areas. In an effort to curb this, the government has instituted a number of property-market controls, including property tax pilot programs in Shanghai and Chongqing. While this is the latest of a number of fiscal reforms, it is a very important one that carries with it the ability to change the landscape of public finance, intergovernmental relations, and local governance in China. It represents a fundamental change in the provision of public services, the relationship between local governments and tax payers, and the status of localities in the government structure. Taking a public choice perspective, the authors argue that the local property tax should be used not solely as a means of controlling housing prices but should be fully employed as a fiscal and budgetary institution that will contribute to mitigating multifarious socio-economic problems resulting from economic growth, rapid urbanization, and widening income disparity. As this program is the first of its kind, so this book is the first detailed study of property tax in China; as such, it will appeal to researchers of public finance and public policy. It will also be of great interest to policymakers in China and in other countries that are considering adopting or reforming their versions of the local property tax. It fills the gap in a growing body of literature about the inner workings of Chinese economics and policy.

This brief examines the current research in cognitive wireless networks (CWNs). Along with a review of challenges in CWNs, this brief presents novel theoretical studies and architecture models for CWNs, advances in the cognitive information awareness and delivery, and intelligent resource management technologies. The brief presents the motivations and concepts of CWNs, including theoretical studies of temporal and geographic distribution entropy as well as cognitive information metrics. A new architecture model of CWNs is proposed with theoretical, functional and deployment architectures supporting cognitive information flow and resource flow. Key technologies are identified to achieve the efficient cognitive information awareness and delivery. The brief concludes by validating the effectiveness of proposed theories and technologies using the CWNs testbed and discussing the importance of standardization practices. The context and analysis provided by this text are ideal for researchers and practitioners interested in wireless networks and cognitive information. Cognitive Wireless Networks is also valuable for advanced-level students studying resource management and networking.

A comprehensive treatment of color-induced graph colorings is presented in this book, emphasizing vertex colorings induced by edge colorings. The coloring concepts described in this book depend not only on the property required of the initial edge coloring and the kind of objects serving as colors, but also on the property demanded of the vertex coloring produced. For each edge coloring introduced, background for the concept is provided, followed by a presentation of results and open questions dealing with this topic. While the edge colorings discussed can be either proper or unrestricted, the resulting vertex colorings are either proper colorings or rainbow colorings. This gives rise to a discussion of irregular colorings, strong colorings, modular colorings, edge-graceful colorings, twin edge colorings and binomial colorings. Since many of the concepts described in this book are relatively recent, the audience for this book is primarily mathematicians interested in learning some new areas of graph colorings as well as researchers and graduate students in the mathematics community, especially the graph theory community.

This book describes kaleidoscopic topics that have developed in the area of graph colorings. Unifying current material on graph coloring, this book describes current information on vertex and edge colorings in graph theory, including harmonious colorings, majestic colorings, kaleidoscopic colorings and binomial colorings.  Recently there have been a number of breakthroughs in vertex colorings that give rise to other colorings in a graph, such as graceful labelings of graphs that have been reconsidered under the language of colorings. The topics presented in this book include sample detailed proofs and illustrations, which depicts elements that are often overlooked. This book is ideal for graduate students and researchers in graph theory, as it covers a broad range of topics and makes connections between recent developments and well-known areas in graph theory.

This monograph offers a detailed analysis of the creation, pilot implementation, and possible wide adoption of the real property tax at the local level in China. Starting in 2003, as China’s economy gradually recovered from the Asian financial crisis that started in 1998, the real property market entered a period of rapid expansion, followed immediately by rampant speculation, rising housing costs, and official corruption. Over the last ten years, the price of real property in most cities has more than tripled, especially in metropolitan areas. In an effort to curb this, the government has instituted a number of property-market controls, including property tax pilot programs in Shanghai and Chongqing. While this is the latest of a number of fiscal reforms, it is a very important one that carries with it the ability to change the landscape of public finance, intergovernmental relations, and local governance in China. It represents a fundamental change in the provision of public services, the relationship between local governments and tax payers, and the status of localities in the government structure. Taking a public choice perspective, the authors argue that the local property tax should be used not solely as a means of controlling housing prices but should be fully employed as a fiscal and budgetary institution that will contribute to mitigating multifarious socio-economic problems resulting from economic growth, rapid urbanization, and widening income disparity. As this program is the first of its kind, so this book is the first detailed study of property tax in China; as such, it will appeal to researchers of public finance and public policy. It will also be of great interest to policymakers in China and in other countries that are considering adopting or reforming their versions of the local property tax. It fills the gap in a growing body of literature about the inner workings of Chinese economics and policy.

This SpringerBrief presents research results on QoE management schemes for mobile services, including user services, and resource allocation. Along with a review of the research literature, it offers a data-driven architecture for personalized QoE management in wireless networks. The primary focus is on introducing efficient personalized character extraction mechanisms, e.g., context-aware Bayesian graph model, and cooperative QoE management mechanisms. Moreover, in order to demonstrate in the effectiveness of the QoE model, a QoE measurement platform is described and its collected data examined.  The brief concludes with a discussion of future research directions. The example mechanisms and the data-driven architecture provide useful insights into the designs of QoE management, and motivate a new line of thinking for users' satisfaction in future wireless networks.

This book probes into China's economic growth in 2013 and predicts China's development prospects. China’s GDP growth in 2014 continues to slow down, and is expected to be 7.6%, with the CPI stable at a level of 2.5%. With the pressures of structural slowdown, 2014 will be a year of adjustment, and there will be a slowdown in new initiatives to minimize risk. Against a background of policies to stabilize growth, change structures and promote reforms, and in order to assess the sustainability of development and transformation and upgrade of China's provincial regions, this book proposes a system for evaluating the country’s development prospects and expounds economic growth at the provincial level.