Numerical Methods for Scientists and Engineers


Richard Hamming - 1973
    Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation — Classical Theory; Fourier Approximation — Modern Theory; and Exponential Approximation.

Valkyrie: The North American Xb-70: The Usa's Ill-Fated Supersonic Heavy Bomber


Graham M. Simons - 2011
    . . [with] new information, photographs and first-hand accounts." --FlypastDuring the 1950s, plans were being drawn at North American Aviation in Southern California for an incredible Mach-3 strategic bomber. The concept was born as a result of General Curtis LeMay's desire for a heavy bomber with the weapon load and range of the subsonic B-52 and a top speed in excess of the supersonic medium bomber, the B-58 Hustler. However, in April 1961, Defense Secretary McNamara stopped the production go-ahead for the B-70 because of rapid cost escalation and the USSR's newfound ability to destroy aircraft at extremely high altitude using either missiles or the new Mig-25 fighter. Nevertheless, in 1963 plans for the production of three high-speed research aircraft were approved and construction proceeded. In September 1964 the first Valkyrie, now re-coded A/V-1, took to the air for the first time and in October went supersonic.This book is the most detailed description of the design, engineering and research that went into this astounding aircraft. It is full of unpublished details, photographs and firsthand accounts from those closely associated with the project. Although never put into full production, this giant six-engined aircraft became famous for its breakthrough technology, and the spectacular images captured on a fatal air-to-air photo shoot when an observing Starfighter collided with Valkyrie A/V-2 which crashed into the Mojave Desert."Well-illustrated with numerous diagrams and black and white photographs, the book provides an interesting insight into one of the so-called 'white elephant' projects of the 1960s." --Jets Monthly

Mathematics: Its Content, Methods and Meaning


A.D. Aleksandrov - 1963
    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

Geometry, Relativity and the Fourth Dimension


Rudolf Rucker - 1977
    A remarkable pictorial discussion of the curved space-time we call home, it achieves even greater impact through the use of 141 excellent illustrations. This is the first sustained visual account of many important topics in relativity theory that up till now have only been treated separately.Finding a perfect analogy in the situation of the geometrical characters in Flatland, Professor Rucker continues the adventures of the two-dimensional world visited by a three-dimensional being to explain our three-dimensional world in terms of the fourth dimension. Following this adventure into the fourth dimension, the author discusses non-Euclidean geometry, curved space, time as a higher dimension, special relativity, time travel, and the shape of space-time. The mathematics is sound throughout, but the casual reader may skip those few sections that seem too purely mathematical and still follow the line of argument. Readable and interesting in itself, the annotated bibliography is a valuable guide to further study.Professor Rucker teaches mathematics at the State University of New York in Geneseo. Students and laymen will find his discussion to be unusually stimulating. Experienced mathematicians and physicists will find a great deal of original material here and many unexpected novelties. Annotated bibliography. 44 problems.

Alexander's Care of the Patient in Surgery


Jane C. Rothrock - 1998
    The detailed, state-of-the-art information in this edition reflects current procedures and promotes the delivery of comprehensive patient care. This text provides nurses with the tools needed to deliver safe, cost-effective, high-quality patient care.More than 400 contemporary and traditional specialty surgical interventions, in addition to numerous minimally invasive surgical procedures, are explained.Approximately 1,000 full-color illustrations and photos build familiarity with surgical anatomy, procedures, methods and equipment.Places a strong emphasis on patient education and discharge planning, as well as patient safety.Best Practice boxes apply evidence-based practice to perioperative nursing.Sample Plans of Care link interventions to clearly identified outcomes.Research Highlight boxes translate research into practice for patient care.Addresses Emergency preparedness and bioterrorism considerations.Ambulatory, pediatric, geriatric, trauma surgeries, as well as complementary and alternative therapies, are given special attention.History boxes summarize significant historical events related to surgery and perioperative nursing.The latest invasive and non-invasive technological advances related to surgical procedures, including areas such as interventional radiology, are featured.Patient and Family Education boxes offer guidelines for pre- and post-procedural care, side effects and complications, discharge/follow-up care, home care, psychosocial care and referrals.Surgical Pharmacology tables summarize the drugs most commonly used for specific surgical procedures, including generic and trade names, purpose/description and pharmacokinetics.Patient Safety boxes highlight recent JCAHO initiatives designed to prioritize patient safety.Recent OSHA guidelines regarding workplace safety are emphasized.

Elementary Differential Equations


Earl D. Rainville - 1962
    Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

KLB Mathematics: SHS; Form 1


Kenya Literature Bureau - 2013
    Worldreader addresses that problem using e-reader technology. Worldreader works with textbook publishers across the developing world to offer a range of digital textbooks to schools as part of their wider goal to promote literacy by bringing books to all.

Higher Engineering Mathematics


B.V. Ramana - 2006
    Plethora of Solved examples help the students know the variety of problems & Procedure to solve them. Plenty of practice problems facilitate testing their understanding of the subject. Key Features: Covers the syllabus of all the four papers of Engineering Mathematics Detailed coverage of topics with lot of solved examples rendering clear understanding to the students. Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Chapters on preliminary topics like Analytical Solid Geometry Matrices and Determinants Sequence and Series Complex Numbers Vector Algebra Differential and Integral Calculus Extensive coverage of Probability and Statistics (5 chapters). Covers the syllabus of all the four papers of Engineering Mathematics Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Extensive coverage of ?Probability and Statistics (5 chapters) Table of Content: PART I PRELIMI NARIES Chapter 1 Vector Algebra , Theory of Equations ,Complex Numbers PART II DIFFERENTIAL AND INTEGRAL CALCULUS

Journey through Genius: The Great Theorems of Mathematics


William Dunham - 1990
    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

Principles of Statistics


M.G. Bulmer - 1979
    There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study.Principles of Statistics was created primarily for the student of natural sciences, the social scientist, the undergraduate mathematics student, or anyone familiar with the basics of mathematical language. It assumes no previous knowledge of statistics or probability; nor is extensive mathematical knowledge necessary beyond a familiarity with the fundamentals of differential and integral calculus. (The calculus is used primarily for ease of notation; skill in the techniques of integration is not necessary in order to understand the text.)Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical theory: abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc. The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.

Mathematics and Its History


John Stillwell - 1997
    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.

Nikon D3100 for Dummies


Julie Adair King - 2010
    Say you?re already an experienced photographer? The helpful tips and tricks in this friendly book will get you quickly up to speed on the D3100's new 14-megapixel sensor, continous video/live focus, full HD video, expanded autofocus, and more. As a seasoned instructor at the Palm Beach Photographic Center, Julie anticipates all questions, whether you?re a beginner or digital camera pro, and offers pages of easy-to-follow advice.Helps you get every bit of functionality out of the new Nikon D3100 camera Walks you through its exciting new features, including the 14-megapixel sensor, continous video/live focus, full HD video, expanded autofocus, and the updated in-camera menu Explores shooting in Auto mode, managing playback options, and basic troubleshooting Explains how to adjust the camera's manual settings for your own preferred exposure, lighting, focus, and color style Covers digital photo housekeeping tips?how to organize, edit, and share your files Tap all the tools in this hot new DSLR camera and start taking some great pix with Nikon D3100 For Dummies.

In Pursuit of the Unknown: 17 Equations That Changed the World


Ian Stewart - 2012
    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

God Created the Integers: The Mathematical Breakthroughs That Changed History


Stephen Hawking - 2005
    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

Unknown Quantity: A Real and Imaginary History of Algebra


John Derbyshire - 2006
    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.