The Mathematics of Infinity. A Guide to Great Ideas

Praise for the First Edition «. . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity.»—Computing Reviews «. . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended.»—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.

Forget the jargon. Forget the anxiety. Just remember the math. In this age of cheap calculators and powerful spreadsheets, who needs to know math? The answer is: everyone. Math is all around us. We confront it shopping in the supermarket, paying our bills, checking the sports stats, and working at our jobs. It is also one of the most fascinating-and useful-subjects. Mastering math can make a difference in your career, your studies, and your daily life. If you are among the millions of people who would love to understand math but are turned away by fear of its complexity, here is your salvation. The A to Z of Mathematics makes math simple without making it simplistic. Both easy to use and easy to read, the book covers all the topics in basic mathematics. You'll learn the definitions of such terms as «proportion»and «hexomino,» and grasp the concepts behind algebra, statistics, and other processes. The book's alphabetical arrangement helps you quickly home in on any topic, and its text is rich with stimulating examples, diagrams, and other illustrations that make the discussion crystal clear to every reader. Everyone will find something of interest in this wide-ranging guide to mathematics. The perfect antidote to math anxiety, this is an invaluable resource for parents and students, home schoolers, teachers, and anyone else who wants to improve his or her math skills and discover the amazing relevance of mathematics to the world around us.

A Practical Guide to the Histology of the Mouse provides a full-colour atlas of mouse histology. Mouse models of disease are used extensively in biomedical research with many hundreds of new models being generated each year. Complete phenotypic analysis of all of these models can benefit from histologic review of the tissues. This book is aimed at veterinary and medical pathologists who are unfamiliar with mouse tissues and scientists who wish to evaluate their own mouse models. It provides practical guidance on the collection, sampling and analysis of mouse tissue samples in order to maximize the information that can be gained from these tissues. As well as illustrating the normal microscopic anatomy of the mouse, the book also describes and explains the common anatomic variations, artefacts associated with tissue collection and background lesions to help the scientist to distinguish these changes from experimentally- induced lesions. This will be an essential bench-side companion for researchers and practitioners looking for an accessible and well-illustrated guide to mouse pathology. Written by experienced pathologists and specifically tailored to the needs of scientists and histologists Full colour throughout Provides advice on sampling tissues, necropsy and recording data Includes common anatomic variations, background lesions and artefacts which will help non-experts understand whether histologic variations seen are part of the normal background or related to their experimental manipulation

An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.

This guide will help the contractor’s staff overcome some of the difficulties encountered on a typical international contract using FIDIC forms. The majority of FIDIC-based contracts use the Red Book (Conditions of Contract for Construction), so this book concentrates on the use of those particular forms. Supplementary comments are included in Appendix C for the Yellow Book (Plant & Design-Build) recommended for use where the contractor has a design responsibility. The Contractor is represented on site by the Contractor’s Representative who carries the overall responsibility for all the Contractor’s on-site activities. In order to provide guidance to the Contractor’s Representative and his staff, this book is divided into five sections: A summarized general review of the Red Book from the Contractor’s perspective. A review of the activities and duties of the Contractor’s Representative in the same clause sequencing as they appear in the Red Book. A summary of these activities and duties but arranged in order of their likely time sequence on site. This has the added intention of providing the Contractor’s Representative with a means of ensuring that documents are not only properly provided to the Employer and Engineer, but most importantly that they are provided within the time limits specified in the Contract. A selection of model letters is provided which make reference to the various clauses of the contract requiring the Contractor to make submissions to the Employer or Engineer. Various appendices. The guide is not intended to be a review of the legal aspects of FIDIC- based contracts; legal advice should be obtained as and when necessary, particularly if the Contractor has little or no knowledge of the local law. Armed on site with a copy of The Contractor and the FIDIC Contract, the Contractor’s Representative will be more able to avoid contractual problems rather than spend considerable time and energy resolving those problems once they have arisen.

Praise for the Second Edition «An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential.» —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.

A concise, easy-to-read source of essential tips and skills for writing research papers and career management In order to be truly successful in the biomedical professions, one must have excellent communication skills and networking abilities. Of equal importance is the possession of sufficient clinical knowledge, as well as a proficiency in conducting research and writing scientific papers. This unique and important book provides medical students and residents with the most commonly encountered topics in the academic and professional lifestyle, teaching them all of the practical nuances that are often only learned through experience. Written by a team of experienced professionals to help guide younger researchers, A Guide to the Scientific Career: Virtues, Communication, Research and Academic Writing features ten sections composed of seventy-four chapters that cover: qualities of research scientists; career satisfaction and its determinants; publishing in academic medicine; assessing a researcher’s scientific productivity and scholarly impact; manners in academics; communication skills; essence of collaborative research; dealing with manipulative people; writing and scientific misconduct: ethical and legal aspects; plagiarism; research regulations, proposals, grants, and practice; publication and resources; tips on writing every type of paper and report; and much more. An easy-to-read source of essential tips and skills for scientific research Emphasizes good communication skills, sound clinical judgment, knowledge of research methodology, and good writing skills Offers comprehensive guidelines that address every aspect of the medical student/resident academic and professional lifestyle Combines elements of a career-management guide and publication guide in one comprehensive reference source Includes selected personal stories by great researchers, fascinating writers, inspiring mentors, and extraordinary clinicians/scientists A Guide to the Scientific Career: Virtues, Communication, Research and Academic Writing is an excellent interdisciplinary text that will appeal to all medical students and scientists who seek to improve their writing and communication skills in order to make the most of their chosen career.

Provides a detailed analysis of the standards and technologies enabling applications for the wireless Internet of Things The Wireless Internet of Things: A Guide to the Lower Layers presents a practitioner’s perspective toward the Internet of Things (IoT) focusing on over-the-air interfaces used by applications such as home automation, sensor networks, smart grid, and healthcare. The author—a noted expert in the field—examines IoT as a protocol-stack detailing the physical layer of the wireless links, as both a radio and a modem, and the media access control (MAC) that enables communication in congested bands. Focusing on low-power wireless personal area networks (WPANs) the text outlines the physical and MAC layer standards used by ZigBee, Bluetooth LE, Z-Wave, and Thread. The text deconstructs these standards and provides background including relevant communication theory, modulation schemes, and access methods. The author includes a discussion on Wi-Fi and gateways, and explores their role in IoT. He introduces radio topologies used in software-defined radio implementations for the WPANs. The book also discusses channel modelling and link budget analysis for WPANs in IoT. This important text: Introduces IEEE 802.15.4, ITU-T G.9959, and Bluetooth LE as physical layer technology standards enabling wireless IoT Takes a layered approach in order to cultivate an appreciation for the various standards that enable interoperability Provides clarity on wireless standards with particular focus on actual implementation Written for IoT application and platform developers as well as digital signal processing, network, and wireless communication engineers; The Wireless Internet of Things: A Guide to the Lower Layersoffers an inclusive overview of the complex field of wireless IoT, exploring its beneficial applications that are proliferating in a variety of industries.

A compendium of ready-made forms for managing every project in line with the latest PMBOK® Guide—Fifth Edition This valuable companion to the Project Management Institute's A Guide to the Project Management Body of Knowledge (PMBOK® Guide)—Fifth Edition presents a comprehensive and practical set of forms and reports that help project managers apply the concepts and practices described in the PMBOK® Guide. Designed specifically to assist both new and experienced project managers in handling all aspects of a project, this edition of A Project Manager's Book of Forms contains forms that cover all the process groups: initiating, planning, executing, monitoring and controlling, and closing. It also includes some forms not mentioned in the PMBOK® Guide, which you will find helpful in managing your project. Use the forms as a guide in collecting and organizing project information, or as a template for ensuring a set of consistent data on all projects. The forms can also be adopted on an organizational level to enable a repeatable approach to project management. Completely editable electronic versions of all the blank forms, in Microsoft Office–compatible format, are available on an accompanying website. You may use them as is or tailor them to your own needs. The PMBOK® Guide covers the processes for managing a project; this book gives you a handy road map of forms to use to make every project just a bit smoother from start to finish. (PMBOK is a registered marks of the Project Management Institute, Inc.)

An essential reference for HR professionals A Guide to the HR Body of Knowledge (HRBoKTM) from HR Certification Institute (HRCI®) is an essential reference book for HR professionals and a must-have guide for those who wish to further their expertise and career in the HR field. This book will help HR professionals align their organizations with essential practices while also covering the Core Knowledge Requirements for all exams administered by HRCI. Filled with authoritative insights into the six areas of HR functional expertise: Business Management and Strategy; Workforce Planning and Employment; Human Resource Development; Compensation and Benefits; Employee and Labor Relations; and Risk Management, this volume also covers information on exam eligibility, and prep tips. Contributions from dozens of HR subject matter experts cover the skills, knowledge, and methods that define the profession's best practices. Whether used as a desk reference, or as a self-assessment, this book allows you to: Assess your skill set and your organization's practices against the HRCI standard Get the latest information on strategies HR professionals can use to help their organizations and their profession Gain insight into the body of knowledge that forms the basis for all HRCI certification exams As the HR field becomes more diverse and complex, HR professionals need an informational «home base» for periodic check-ins and authoritative reference. As a certifying body for over four decades, HRCI has drawn upon its collective expertise to codify a standard body of knowledge for the field. The HRBoK is the definitive resource that will be your go-to HR reference for years to come.