Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    This title has a new edition: 5th Edition

    It offers unique preparation for the NCLEX Examination and effectively equips you to practice in today's fast-paced healthcare environment.The only workbook available that provides in-depth practice with prioritization, delegation, and assignment questions similar to those you'll see on the NCLEX Examination, including questions in alternate item formatsUnique three-part organization that (1) equips you with foundational skills to make sound decisions, then helps you apply those skills (2) in straightforward scenarios and (3) then in complex health scenariosIn-depth Answer Key at the back of the book that provides not only the correct answer but also a detailed rationale and an indication of the focus of the question, whether prioritization, delegation, supervision, or patient assignment.Expanded content focus to include psychiatric/mental health, OB/maternity, and pediatrics along with med-surg areasNew chapters on infection control and obstetrics and maternityGreater emphasis on questions involving core body systems and related health problems, such as diabetes and cancer, to best prepare you for the conditions you are most likely to encounter on the NCLEX Examination and in clinical practiceFour new unfolding cases addressing long-term care, pediatrics, psychiatric/mental health nursing, and OB/maternityAdditional emphasis on medication safety equips you to take appropriate actions to prevent or remediate medication errorsMultiple-select questions revised to include at least 5 response choices each, keeping you up to date with the full range of NCLEX Examination item formats

    Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack ofadvanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicatedwith the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

    In addition to being the most up-to-date communications text available, Simon Haykin has added MATLAB computer experiments.

    The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyze network data on a large scale, and the development of a variety of new theoretical tools has allowed us to extract new knowledge from many different kinds of networks.The study of networks is broadly interdisciplinary and important developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, and the social sciences. This book brings together for the first time the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas.Subjects covered include the measurement and structure of networks in many branches of science, methods for analyzing network data, including methods developed in physics, statistics, and sociology, the fundamentals of graph theory, computer algorithms, and spectral methods, mathematical models of networks, including random graph models and generative models, and theories of dynamical processes taking place on networks.

    It uses examples and exercise sets, with clear explanations of problem-solving techniqes and material on the further theory of functions.

    Most undergraduates have to undertake some form of literature review which may be daunting, this book explains it in an clear, easy to understand format. Explanations are given as to why undertaking a literature review is undertaken. Summery sections at the end of each chapter allow the reader to reflect on what they have just read, allowing the information to sink in. This book should be on every university's recommended reading list." Kerry Davis, Student Nurse, University Campus Suffolk, UK" ""This book is fantastic! It gives a clear, concise guide to carrying out a literature review, which is of course a widely used formative assessment technique in a nursing program ... (it includes) in depth explanations and reasons as to how and why it is important to do a literature review ... the summary section at the end of each chapter is excellent, and allows the reader to review their understanding of what they're just read. Overall an excellent book which is a must for any student nurse!" Gem Smith, Student Nurse, Northumbria University, UK"""This book is superb. It explains the entire process of writing a literature review very clearly ... extremely helpful as the prospect of reviewing literature can be quite daunting." Vicky Bain, Student Nurse, University of Nottingham, UK"A comprehensive, easy to read guide which will help students to understand how to undertake a literature review, and how to use the resultant information effectively." Anne-Marie Warnes, University of Central Lancashire, UK"As a student, currently writing a literature review, I found this an extremely helpful book, which is invaluable in demystifying some of the more challenging elements, while at the same time providing clear, simple, appealing and appropriate guidance. This is a must have for undergraduate nursing students, and indeed all healthcare students embarking on such projects." Audrey Grace, Trinity College Dublin, Dublin, Ireland"This bestselling book is a step-by-step guide to doing a literature review in health and social care. It is vital reading for all those undertaking their undergraduate or postgraduate dissertation or any research module which involves a literature review.The new edition has been fully updated and provides a practical guide to the different types of literature that you may come across when undertaking a literature review. It includes: Examples of commonly occurring real life scenarios encountered by students Emphasis on the importance of setting a question at the very start of the project Advice on how to follow a clearly defined search strategy Details of a wide range of critical appraisal tools "Doing a Literature Review in Health and Social Care 2/e" is essential reading for students at all levels within the health and social care field - and a useful text for anyone new to reviewing and appraising evidence.

    Includes expert coverage of new topics: Turbocodes, Turboequalization, Antenna Arrays, Digital Cellular Systems, and Iterative Detection. Convenient, sequential organization begins with a look at the historyo and classification of channel models and builds from there.

    Jay Withgott and new co-author Matt Laposata present the latest coverage of environmental science and introduce new FAQ sections to address common student misconceptions. Note: This is the standalone book if you want the book/access card order the ISBN below: 0321752546 / 9780321752543 Essential Environment: The Science behind the Stories Plus MasteringEnvironmentalScience with eText -- Access Card Package Package consists of: 0321752902 / 9780321752901 Essential Environment: The Science behind the Stories 0321754077 / 9780321754073 MasteringEnvironmentalScience with Pearson eText -- Valuepack Access Card -- Essential Environment: The Science behind the Stories (ME component) "

    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: This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics. MARKET: For college instructors and students.

    Distinguishing agents (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions, immune system responses, sexual reproduction, and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as beautiful and interesting. From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems, and adaptation.Each of the book's parts can be read independently, enabling even the casual reader to understand and work with the basic equations and programs. Yet the parts are bound together by the theme of the computer as a laboratory and a metaphor for understanding the universe. The inspired reader will experiment further with the ideas presented to create fractal landscapes, chaotic systems, artificial life forms, genetic algorithms, and artificial neural networks.

    Generous support from a number of foundations provided the means for assembling and maintaining an experienced staff to co-operate with members of the Institute's Physics Department in the examination, improvement, and development of physics curriculum materials for students planning careers in the sciences. After careful analysis of objectives and the problems involved, preliminary versions of textbooks were prepared, tested through classroom use at M.I.T. and other institutions, re-evaluated, rewritten, and tried again. Only then were the final manuscripts undertaken.

    Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses.