The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

    Brian Greene, one of the world's leading string theorists, peels away the layers of mystery surrounding string theory to reveal a universe that consists of eleven dimensions, where the fabric of space tears and repairs itself, and all matter—from the smallest quarks to the most gargantuan supernovas—is generated by the vibrations of microscopically tiny loops of energy.Today physicists and mathematicians throughout the world are feverishly working on one of the most ambitious theories ever proposed: superstring theory. String theory, as it is often called, is the key to the Unified Field Theory that eluded Einstein for more than thirty years. Finally, the century-old antagonism between the large and the small-General Relativity and Quantum Theory-is resolved. String theory proclaims that all of the wondrous happenings in the universe, from the frantic dancing of subatomic quarks to the majestic swirling of heavenly galaxies, are reflections of one grand physical principle and manifestations of one single entity: microscopically tiny vibrating loops of energy, a billionth of a billionth the size of an atom. In this brilliantly articulated and refreshingly clear book, Greene relates the scientific story and the human struggle behind twentieth-century physics' search for a theory of everything.Through the masterful use of metaphor and analogy, The Elegant Universe makes some of the most sophisticated concepts ever contemplated viscerally accessible and thoroughly entertaining, bringing us closer than ever to understanding how the universe works.

    You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    Building from a review of the basic science to the how and why of clinical practice, this text is thorough guide to immunohematology and transfusion practices. It begins with six color plates of which Plate 2 - standardized grading of macroscopic red cell antigen-antibody reactions - is extraordinarily useful. These are actual photomicrographs of immediate spin reactions and at a glance, will automatically assure standardized reporting of the reactions. Chapter on medicolegal and ethical aspects of providing blood collection and transfusion service is simply fascinating reveting reading. An added bonus is the table of blood group characteri stics (antigen, ISBT number, frequency in different ethnicities, expression during life, etc.) on the inside covers at the front and back of the book. Nothing like having a quick complete reference when you need it! This is a great book. Valerie L. Ng, PhD, MD, University of California, San Francisco, California for Doody Review Service.

    It brings you clear coverage essential to understanding the clinical relevance of anatomical and physiological principles. Fully updated and written by respected veterinary technician educators, this popular textbook is the practical, comprehensive foundation for your success in veterinary technology.Clinical application boxes help you sharpen your skills and apply principles to practice.Test Yourself boxes throughout chapters emphasize important study points.An extensive glossary provides quick reference to hundreds of important terms and definitions.Over 300 new illustrations help you identify structures with rich, realistic clarity.A NEW full color format visually enhances your understanding of anatomic and physiologic concepts.Four NEW chapters give you the latest insight on the chemical basis of life, nutrition and metabolism, pregnancy, development, and lactation, and reptile and amphibian anatomy and physiology.A revised chapter on the cardiovascular system helps you most effectively comprehend the complex functions of the heart and blood vessels.