This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.

    These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

    An impassioned critique of K 12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. "Measurement "offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can do the math in a way that brings emotional and aesthetic rewards. "Measurement" is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work."

    Three Guides in One! Identification, Values, Lapidary UsesDesigned with beginners in mind, yet filled with valuable technical information for advanced collectors, "Collecting Rocks, Gems and Minerals" takes you from being just someone who appreciates rocks to a true "collector."Easy-to-use, quick reference format arranged by category and color of stoneCovers both lapidary and mineral display materialsProvides values and tips for locating, buying and collectingIncludes organics such as amber, bone, coral, pearl and shellLists chemical group, system, hardness, opacity, fracture, specific gravity and moreContains more than 650 full-color photosForeword by Johann Zenz, world renowned agate expert, author and lecturer

    Highlights of the book include realistic problems and examples from a wide range of application areas. New to this edition are: much sharper pedagogy; an increase in the number of examples; more thorough development of the concepts; a greater range of homework problems; a greater number and variety of worked out examples; expanded coverage of dynamics modelling and Laplace transform topics; and integration of MATLAB, including many examples that are formatted in MATLAB.

    These will challenge the way you think, introduce you to new ways to look at problems, and expand your mind.Even if you are new to riddles and brain teasers this book will be a fun and exciting read, it will help you become a better problem solver and become more comfortable with thinking outside the box. The problems in this book range in difficulty from light & easy to hard to very hard and will provide a challenge for even the sharpest mind. In this book you will find puzzles that incorporate: Discrete Reasoning Mathematical Reasoning Practical Reasoning Classical Logic No Word Play! Definite & Satisfying Answers Convention-defying Solutions Enjoy it! ...and remember, once you peek at the solution you will never be able to unsee it!

    Written by the 19th-century mathematician who also gave us "Alive in Wonderland", they are among the most entertaining logical works ever written, and contain some of the most thought-provoking puzzles ever devised.

    Included in this edition is a new chapter on the revolutionary topic of quantum computing.

    Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.<br><br>This textbook covers:<br><br><b>Human Anatomy and Physiology Introduction</b> -- Anatomy and Physiology Overview, Life, Homeostasis, Anatomical Terms, Clinical Cases<br><br><b>General Chemistry</b> -- Matter and Energy, Element Properties: Atomic structure, Chemical Bonds, Chemical Reactions, Inorganic Compounds, Organic Compounds<br><br><b>Cellular Structure and Function</b> -- the study of cells, Cell membranes and the fluid mosaic model, Transport across membranes, How reception works in cell signaling, Nucleus and Ribosomes, Organelles, The Cytoskeleton, External cellular components, Cell division: process and importance, The cell cycle, Transcription and translation, RNA processing, Translation to a polypeptide, Transcription, Apoptosis signals an orderly cell death<br><br><b>Tissues</b> -- Epithelial Tissue, Cell Junctions, Clinical Cases, Tissue Repair, Tissue Development, Cancer, Connective Tissue, Membranes, Nervous Tissue<br><br><b>The Integumentary System</b> -- The Skin, Accessory Structures of the Skin, Functions of the Integumentary System, Wound Healing, Integumentary System Development, Skin Disorders, Imbalances, Diseases, and Clinical Cases<br><br><b>Skeletal Tissue</b> -- Cartilage, Bone Classification, Bone Formation, Bone and Calcium, Bone Development, Bone Diseases, Disorders, Imbalances, and Clinical Cases<br><br><b>The Skeletal System</b> -- Overview of the Musculoskeletal system, Divisions of the Skeletal System, The Axial Skeleton, Skull, Hyoid Bone, Vertebral Column, Thorax, Clinical Cases of the Axial Skeleton, The Appendicular Skeleton, The Pectoral (Shoulder) Girdle, Upper Limb, The Pelvic (Hip) Girdle, Lower Limb, Skeletal System Development, Clinical Cases of the Appendicular Skeleton<br><br><b>Joints</b> -- Classification of Joints, Synovial Joints, Joint Development, Clinical Cases<br><br><b>Muscle Tissue</b> -- Overview of Muscle Tissue, Skeletal Muscle, Control of Muscle Tension, Muscle Metabolism, Exercise and Skeletal Muscle Tissue, Smooth Muscle, Clinical Cases: Muscle Disorders, Development of Muscle<br><br><b>The Muscular System</b> -- Overview of the Muscular System, Head And Neck Muscles, Trunk Muscles, Muscles of the Upper Limb, Muscles of the Lower Limb, Clinical Cases and Muscular System Disorders<br><br><b>Nervous Tissue</b> -- Overview of the Nervous System, Neuroglia, Neurons, Collections of Nervous Tissue, Neurophysiology<br><br><b>Central Nervous System (CNS)</b> -- The Brain, Consciousness, Sleep, Language, and Memory, Protection of the Brain, Parts of The Brain Stem, The Cerebellum, The Diencephalon, Cerebral Cortex (or Cerebral Hemispheres), Functional Systems of the Cerebral Cortex, Development of the CNS, Brain Disorders and Clinical Cases, The Spinal Cord, Spinal Cord Anatomy, Disorders and Clinical Cases of the Spinal Cord<br><br><b>Peripheral Nervous System (PNS)</b> -- Sensation, Sensory Receptors, Somatosensory System, Nerves, Cranial Nerves, Spinal Nerves, Distribution of Spinal Nerves, Motor Activity, Motor Pathways, Reflexes, Pain, Development of the Nervous System, Disorders of Spinal Nerves and Clinical Cases<br><br><b>Autonomic Nervous System (ANS)</b> -- Autonomic Nervous System, ANS Anatomy, Physiology of ANS,

    The stunning images are explained with clear and detailed text. The full color book illustrates and explains the nature of every category of celestial object in a clear and concise manner.

    New 'Consolidation' sections and questions designed to provide a link between GCSE and A-level feature in the text.At the end of each section there are many questions - ideal for consolidation and revision - mainly from past A-level examination papers. Over 15 of these past-paper questions have been added in the Fourth Edition. Answers are included.

    Here's the first book to dissect the trio that countless critics and musicians have cited as one of the most influential bands of the 1980s. Author Andrew Earles examines how Hüsker Dü became the first hardcore band to marry pop melodies with psychedelic influences and ear-shattering volume. Readers witness the band create the untouchable noise-pop of LPs like New Day Rising, Flip Your Wig, and Candy Apple Grey, not to mention the sprawling double-length Zen Arcade. Few bands from the original American indie movement did more to inform the alternative rock styles that breached the mainstream in the 1990s. Hüsker Dü truly were visionaries.

    Instead, it tells you-and shows you-what basic and advanced electronics parts and components do, and how they work. Chock-full of illustrations, Practical Electronics for Inventors offers over 750 hand-drawn images that provide clear, detailed instructions that can help turn theoretical ideas into real-life inventions and gadgets.

    It’s no coincidence that geniuses not only dare to dream of the impossible for their work, but do the same for their lives. They’re audacious enough to think that they’re not just ordinary players. Few stories better illustrate this better than the life of the father of the modern world, a man of legendary imaginative power and wonder: Nikola Tesla.In this book, you’ll be taken on a whirlwind journey through Tesla’s life and work, and not only learn about the successes and mistakes of one of history’s greatest inventors, but also how to look at the world in a different, more imaginative way.Read this book now and learn lessons from Nikola Tesla on why imagination is so vital to awakening your inner genius, and insights into the real “secret” to creativity, as explained by people like Jobs, Picasso, Dali, and Twain.

    Its clear writing style, superior art program, and other learning aids appeal to students in many majors. This edition includes thoroughly updated content and introduces renowned illustrator Dennis Tasa--yet it maintains the proven approach first presented by respected authority Tom L. McKnight more than 20 years ago.