Gary Chartrand

Albert D. Polimeni

Ping Zhang

Mathematical Proofs: A Transition to Advanced Mathematics, 2/e, prepares students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets. KEY TOPICS: Communicating Mathematics, Sets, Logic, Direct Proof and Proof by Contrapositive, More on Direct Proof and Proof by Contrapositive, Existence and Proof by Contradiction, Mathematical Induction, Prove or Disprove, Equivalence Relations, Functions, Cardinalities of Sets, Proofs in Number Theory, Proofs in Calculus, Proofs in Group Theory. MARKET: For all readers interested in advanced mathematics and logic.

A Transition to Advanced Mathematics

Mathematical Proofs

Normal 0 false false false 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.

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

Chromatic Graph Theory

Linda Lesniak

Continuing to provide a carefully written, thorough introduction, Graphs & Digraphs, Fifth Edition expertly describes the concepts, theorems, history, and applications of graph theory. Nearly 50 percent longer than its bestselling predecessor, this edition reorganizes the material and presents many new topics. New to the Fifth Edition New or expanded coverage of graph minors, perfect graphs, chromatic polynomials, nowhere-zero flows, flows in networks, degree sequences, toughness, list colorings, and list edge colorings New examples, figures, and applications to illustrate concepts and theorems Expanded historical discussions of well-known mathematicians and problems More than 300 new exercises, along with hints and solutions to odd-numbered exercises at the back of the book Reorganization of sections into subsections to make the material easier to read Bolded definitions of terms, making them easier to locate Despite a field that has evolved over the years, this student-friendly, classroom-tested text remains the consummate introduction to graph theory. It explores the subject’s fascinating history and presents a host of interesting problems and diverse applications.

Graphs & Digraphs, Fifth Edition

Wally Smieliauskas

Minlei Ye

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.

Research on Audit Practice and Regulations

Auditing and Society

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

A First Course in Graph Theory

Jonathan L. Gross

Jay Yellen

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.

Handbook of Graph Theory, Second Edition

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.

Ruliang Yang

Haiying Li

Shiqiang Li

Lulu Tan

Xiangwu Gao

Xueyan Kang

This book comprehensively describes high-resolution microwave imaging and super-resolution information processing technologies and discusses new theories, methods and achievements in the high-resolution microwave imaging fields. Its chapters, which include abundant research results and examples, systematically summarize the authors’ main research findings in recent years. The book is intended for researchers, engineers and postgraduates in the fields of electronics systems, signal information processing and data analysis, microwave remote sensing and microwave imaging radar, as well as space technology, especially in the microwave remote sensing and airborne or space-borne microwave imaging radar fields.

High-Resolution Microwave Imaging

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.

Color-Induced Graph Colorings

Correlation of the Microstructure and Creep Behavior of Die Cast Mg-Al-base Alloys

Gua Sha therapy along with acupuncture and moxabustion, herbal therapy, acupressure and Qi Gong therapy have been commonly practiced modalities of TCM (traditional Chinese medicine) for thousands of years. This course is designed to provide practitioners with skills in TCM anti-aging treatment principles and to incorporate Gua Sha treatment therapies into their practice. Applying Gua Sha therapy in anti-aging treatment can help promote local qi and blood circulation, empower the body's natural healing power, and correct the aging signs of the body from the inside out. Topics include special facial Sha diagnosis techniques; on-spot treatment for facial Sha to promote skin healing from the inside out for stubborn wrinkles, sagging, dark/aging spots, and facial puffiness; and Ba Hua guided eye treatment to address sagging of eye, dark circles, and wrinkles. Includes eight DVDs.

Advanced Clinical Gua Sha Facial Rejuvenation

Dennis F. Galletta

"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.

Foundations

Human-computer Interaction and Management Information Systems: Foundations

Provides commentaries and descriptions of research programs that guides 21st century scholars, graduate students, and industry professionals. This work focuses on applications and evaluations including special case studies, specific contexts or tasks, HCI methodological concerns, and the use and adoption process.

Ping Zhang

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