The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

    It features a visual presentation, designed to encourage learning; revised exercises to ensure clarity, balance and relevance; and clear commentary on the difficult subject of critical multivariable calculus topics.

    And when an accident or other emergency threatens your pet, every minute counts. Don't be unprepared! Open The First-Aid Companion for Dogs and Cats and learn:* Basic first-aid techniques, such as cleaning a wound, making a splint, and performing CPR-- step-by-step!* Which over-the-counter human medications can help-- or harm-- your dog or cat* What to keep in your pet's medicine chest (many essential items are probably in your house already!)* How to quickly pinpoint what's wrong with your pet, using the First-Aid Symptom FinderPlus, you'll discover a comprehensive A-to-Z guide to more than 150 common-- and not-so-common-- injuries and conditions, including:* Abscesses (page 60)* Bites from Animals (page 90)* Car Accidents (page 117)* Choking (page 131)* Gunshot Wounds (page 224)* Heatstroke (page 237)* Hot Spots (page 245)* Jellyfish Stings (page 269)* Poisoning (page 311)* Snakebites (page 350)Each at-a-glance entry tells you when to call the vet, which supplies or medications you'll need, what immediate action you should take, and what you should do as follow-up care.By knowing what to do in an emergency and then acting quickly and confidently to take the proper steps, you could save your pet's life. The next time medical help is not quickly available, reach for The First-Aid Companion for Dogs and Cats. It's a pet owner's second best friend.

    Over the years their textbooks have introduced significant theoretical and pedagogical innovations in statics, dynamics, and mechanics of materials education. At the same time, their careful presentation of content, unmatched levels of accuracy, and attention to detail have made their texts the standard for excellence. The new Seventh Edition of Vector Mechanics for Engineers: Statics and Dynamics continues this tradition. The seventh edition is complemented by a media and supplement package that is targeted to address core course needs for both the student and the instructor.

    The book's hallmark values-accuracy, currency, and passion for teaching and learning-have made Campbell/Reece the most successful book for readers for seven consecutive editions. More than 6 million readers have benefited from "BIOLOGY's"clear explanations, carefully crafted artwork, and student-friendly narrative style.Introduction: Themes in the Study of Life, The Chemical Context of Life, Water and the Fitness of the Environment, Carbon and the Molecular Diversity of Life, The Structure and Function of Large Biological Molecules, A Tour of the Cell, Membrane Structure and Function, An Introduction to Metabolism, Cellular Respiration: Harvesting Chemical Energy, Photosynthesis, Cell Communication, The Cell Cycle, Meiosis and Sexual Life Cycles, Mendel and the Gene Idea, The Chromosomal Basis of Inheritance, The Molecular Basis of Inheritance, From Gene to Protein, Control of Gene Expression, Viruses, Biotechnology, Genomes and Their Evolution, Descent with Modification: A Darwinian View of Life, The Evolution of Populations, The Origin of Species, The History of Life on Earth, Phylogeny and the Tree of Life, Bacteria and Archaea, Protists, Plant Diversity I: How Plants Colonized Land, Plant Diversity II: The Evolution of Seed Plants, Fungi, An Introduction to Animal Diversity, Invertebrates, Vertebrates, Plant Structure, Growth, and Development, Transport in Vascular Plants, Soil and Plant Nutrition, Angiosperm Reproduction and Biotechnology, Plant Responses to Internal and External Signals, Basic Principles of Animal Form and Function, Animal Nutrition, Circulation and Gas Exchange, The Immune System, Osmoregulation and Excretion, Hormones and the Endocrine System, Animal Reproduction, Animal Development, Neurons, Synapses, and Signaling, Nervous Systems, Sensory and Motor Mechanisms, Animal Behavior, An Introduction to Ecology and the Biosphere, Population Ecology, Community Ecology, Ecosystems, Conservation Biology and Restoration Ecology.For readers interested in learning the basics of Biology.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    joyfully shows you how to make nature's numbers dance."--Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the "mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike."A positively joyful exploration of mathematics."-Publishers Weekly, starred review"Each [trick] is more dazzling than the last."-Physics World

    Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

    GET D!RTYNext time you’re traveling or just chattin’ in Italian with your friends, drop the textbook formality and bust out with expressions they never teach you in school, including: Cool slang Funny insults Explicit sex terms Raw swear words Dirty Italian teaches the casual expressions heard every day on the streets of Italy:What's up?Come va?He's a real hottie.Lui è proprio un figo.This pizza's awesome!Questa pizza è buonissima!I'm totally wasted.Soo sbronzo.I gotta piss.Devo pisciare.Hey ref, you're an asshole!Arbitro cornuto!Wanna do it doggy-style?Lo facciamo alla pecorina?

    Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.