Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.--Includes 1,000 problems with comprehensive solutions--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps--Kelley is a former award-winning calculus teacher

    The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", "problem of the month", and "research problem of the year" to their students, thus bringing a creative atmosphere into their classrooms with continuous discussions of mathematical problems. This volume is a must-have for instructors wishing to enrich their teaching with some interesting non-routine problems and for individuals who are just interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. Very few problems have no solutions. Readers interested in increasing the effectiveness of the book can do so by working on the examples in addition to the problems thereby increasing the number of problems to over 1300. In addition to being a valuable resource of mathematical problems and solution strategies, this volume is the most complete training book on the market.

    

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.

    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.

    Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton

    Julia Diggins masterfully recreates the atmosphere of ancient times, when men, using three simple tools, the string, the straightedge, and the shadow, discovered the basic principles and constructions of elementary geometry. Her book reveals how these discoveries related to the early civilizations of Mesopotamia, Egypt, and Greece.The fabric of the story is woven out of archeological and historical records and legends about the major men of mathematics. By reconstructing the events as they might have happened, Diggins enables the attentive reader to easily follow the pattern of reasoning that leads to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, and the construction of the five regular solids.Out of print for 34 years, Julia Diggins' classic book is back and is a must-read for middle school students or for parents helping their children through their first geometry course. You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today. This book is popular with teachers and parents who use Jamie York's Making Math Meaningful curriculum books.

    But in the scalp of a balding man, they do not get everything they need and as a result, the hair-producing cells gradually die off. Here we have an example of a mild ‘disease’ which is caused by cellular malnutrition.” —Dr. Roger J. Williams “A living cell requires energy not only for all of its functions, but also for maintenance of its structure.” —Nobel Laureate Albert Szent-Györgyi "What could be more important to understand than biological energy? Thought, growth, movement, every philosophical and practical issue involves the nature of biological energy.” —Raymond Peat, PhD ======== The Current View of Pattern Hair Loss is Unproductive (and Dangerous) While it is often stated with great confidence that pattern pattern hair loss is the result of defective genes and "male" androgenic hormones (e.g., dihydrotestosterone or DHT), the theory is physiologically unsound. After 60 years of research the "genetic-androgen" hypoheses has produced a single FDA-approved "therapy" that works less than 50% the time and can result in permanent chemical castration (Minoxidil is a nonstarter for many men and women). In contrast, castrates and pseudohermaphrodites--who serve as the foundation for all baldness research--are protected from pattern hair loss 100% of the time. Steps Towards a 'Bioenergetic' View of Pattern Hair Loss Standing on the shoulders of giants (e.g., Otto Warburg, Albert Szent-Györgyi, Gilbert Ling, Ray Peat and others), HAIR LIKE A FOX sets up an alternative 'bioenergetic model' of pattern hair loss with a focus on the smallest unit of life, the cell. This same context elucidates simple yet effective therapies for halting and perhaps reversing pattern hair loss in a way that harmonizes with our unique physiology.

    Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer)This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.

    The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In the second edition, besides revisions to the first edition, a number of new exercises have been added.

    

    I have taught these simple processes to men and women all over the world, and recently over a thousand men and women of all religious affiliations attended a special class in Los Angeles where I presented the highlights of what is offered in the pages of this book. Many came from distances of two hundred miles for each class lesson. The special features of this book will appeal to you because they show you why oftentimes you get the opposite of what you prayed for and reveal to you the reasons why. People have asked me in all parts of the world and thousands of times, ?Why is it I have prayed and prayed and got no answer?? In this book you will find the reasons for this common complaint. The many ways of impressing the subconscious mind and getting the right answers make this an extraordinarily valuable book and an ever present help in time of trouble.

    For outsiders, Pyrrus usually means a quick and painful death, but DinAlt is fleeing the crooked casino masters of Cassylia - where he just broke the bank. But DinAlt is not prepared for the hellish Pyrrus, where every living thing seems bent on exterminating mankind.In DEATHWORLD 2 (originally published as THE ETHICAL ENGINEER), Jason DinAlt finds himself on a hostile, barbarian planet where technology and civilization have almost disappeared. Using his skills, DinAlt literally reinvents the wheel in his quest to escape and return to his friends on Pyrrus.

    

    It provides a concise and relevant treatment of inorganic chemistry and is written with such clarity that it is undoubtedly among the easiest to read of its competitors." Content "Atomic structure and the Periodic table Introduction to bonding The ionic bond The covalent bond The metallic bond General properties of the elements Coordination compounds Hydrogen and the hydrides Group 1 - The alkali metals The chlor-alkali industry Group 2 - The alkaline earth elements The group 13 elements The group 14 elements The group 15 elements Group 16 - the chalcogens Group 17 - the halogens Group 18 - the noble gases An introduction to the transition elements Group 3 - The scandium group Group 4 - The titanium group Group 5 - The vanadium group Group 6 - The chromium group Group 7 - The manganese group Group 8 - The iron group Group 9 - The cobalt group Group 10 - The nickel Group. Group 11 - The copper group: Coinage metals. Group 12 - The zinc group The lanthanide series. The actinides."