They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

    Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.

    . . like a pendulum? These may not look like math questions, but they are-because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo's life-by turning the "dry" subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the "branches" of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea! Here are twenty-six bite-size chapters on the hidden mathematical marvels that encrypt our email, enchant our senses, and even keep us alive-from the sine waves we hear as "music" to the mysterious golden ratio. This book will change your mind about what math can be. We are all born mathematicians-and It's a Numberful World.

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

    The 5th edition has been completely updated and includes a Companion CD-ROM that contains animations, NCLEX(R) examination-style review questions, printable IV therapy and medication safety checklists, drug calculation problems, and convenient electronic calculators.A separate drug calculations section - Medications and Calculations - features 65 pages of math review and step-by-step instructions for dosage calculations using the four primary methods - basic formula, ratio and proportion, dimensional analysis, and fractional equation. Nursing Process sections relate nursing care to drug therapy. Each step of the nursing process includes concise actions for the plan of care in relation to treatment for selected drug prototypes.A chapter on Principles of Drug Administration features comprehensive coverage of the procedures for administering drugs. It addresses all routes of administration and various settings.Unit openers for drug therapy chapters include an illustrated overview of normal anatomy and physiology, giving readers the foundation for understanding how the drug works in that body system.Herbal Alert boxes highlight various herbal products and their interactions with drugs.More than 100 detailed Prototype Drug Charts list the following information: dosage, indication, contraindication, drug-lab-food interactions, pharmacokinetics, pharmacodynamics, therapeutic effects, side effects, and adverse reactions.Highlighted Client Teaching, Cultural Considerations, and Herbal Alerts are included in the Nursing Process sections to emphasize key implications for nurses.Client Teaching in the nursing process sections guide readers through instructions for teaching patients about medication, self-administration, dietary concerns, and side effects.Includes a separate Transcultural and Genetic Considerations chapter.Critical Thinking Case Studies and Study Questions at the end of each chapter present readers with a clinical scenario and several questions that reinforce key concepts and encourage critical thinking.A new chapter on substance abuse addresses this important aspect of the nurse's role in pharmacology. Preventing Medication Errors boxes draw attention to important safety considerations and present guidelines from the Institute for Safe Medication Practice (ISMP).Critical Thinking Case Study boxes provide clinical scenarios and questions to sharpen analytical and critical thinking skills.Now includes step-by-step instructions for dosage calculations using dimensional analysis.Web sites, organizations, and research database information are available at the end of clinical chapters for further review and research.The newest JCAHO guidelines for medication safety are applied throughout the text and the abbreviations appendix has been revised to reflect these updates.Includes a new Herb/Drug Interaction chart, as well as new sugar-free and alcohol-free drug lists.Features updated coverage of pain as the fifth vital sign.Look-alike/sound-alike drugs are highlighted throughout to promote safe drug administration.Includes a list of the 200 most frequently prescribed drugs.Electronic Resources boxes at the beginning of each chapter direct readers to additional learning activities available on the Companion CD and the Evolve website.

    Readers learn the effects that their listening has on others and insight into the effects that the listening skills of others have upon them.

    Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

    The book's holistic perspective shows students how nursing care involves more than performing procedures. With a case-based approach to learning, the book offers numerous examples and opportunities for students to think critically. The Seventh Edition includes new features highlighting clinical questions and research, nursing advocacy, and health literacy, and also includes new information related to electronic medical records and documentation. With this textbook you'll find an integrated, cohesive, and student-focused suite of multimedia products to appeal to all types of learners, including a bound-in DVD-ROM and a companion website.

    Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

    This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive background material and explain how to apply the methods and implement the algorithms. First Edition HB (2000): 0-521-62304-9

    Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

    Ignatavicius and M. Linda Workman cover all the latest trends, evidence-based treatment guidelines, and additional updated information needed for safe clinical practice in medical-surgical nursing. This seventh edition features an expanded emphasis on patient safety and NCLEX? Examination preparation, new ties to the QSEN priorities for patient safety, and a greater alignment with the language and focus of clinical practice. A new chapter on evidence-based practice and a wealth of effective online learning tools help solidify your mastery of medical-surgical nursing.

    Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and are natural extensions and consequences of previous concepts. This book can be used for readers who have a solid mathematics background. It can also be used in a way that stresses the more practical uses of statistical theory, being more concerned with understanding basic statistical concepts and deriving reasonable statistical procedures for a variety of situations, and less concerned with formal optimality investigations.

    Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This award-winning text examines:Children's innate number sense and how the brain develops an understanding of number relationships Rationales for modifying lessons to meet the developmental learning stages of young children, preadolescents, and adolescents How to plan lessons in PreK-12 mathematics Implications of current research for planning mathematics lessons, including discoveries about memory systems and lesson timing Methods to help elementary and secondary school teachers detect mathematics difficulties Clear connections to the NCTM standards and curriculum focal points

    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.