Explaining how, why, and when the techniques can be expected to work, the Seventh Edition places an even greater emphasis on building readers' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. Applied problems from diverse areas, such as engineering and physical, computer, and biological sciences, are provided so readers can understand how numerical methods are used in real-life situations. The Seventh Edition has been updated and now addresses the evolving use of technology, incorporating it whenever appropriate.

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

    The R language is recognised as one of the most powerful and flexible statistical software packages, and it enables the user to apply many statistical techniques that would be impossible without such software to help implement such large data sets.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts. Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra. Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science.

    Readerswill find information on frequency distributions; mean, median, and mode; range, variance, and standard deviation;probability; and more.-Emphasizes Microsoft Excel for number-crunching and computationsDownload a sample chapter.

    But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!

    White's understanding of Tupac's art will uncork the bottled up rage and confusion that attends the way hip-hop culture is produced and received. Rebel details each step in Shakur's development, from his early exposure to racism and political activism to his move from New York to the West Coast and his innovative work with early hip hop culture and music. Through connections drawn between Shakur and Public Enemy, Notorious B.I.G., Dr. Dre, Ice Cube, and Sister Souljah, White examines Shakur's life as a prism for the hip-hop world. Photographs, a useful chronology of important dates in the life of Shakur, and an updated discography and filmography of his career as a rapper and actor are included. "Talk about diversity, talk about identity, talk about icons—White's in-depth look at Tupac Shakur talks about all of 'em."—Booklist "White has written a nuanced, expansive and impassioned study of the life and art of Tupac Shakur."—Tyrone Williams, Metro Times Literary Quarterly "Rebel ... is a means of analyzing the rage, fatalism and rootlessness of the contemporary rap scene."—Select Magazine

    It also explains the "why" of trigonometry, using real-world examples that illustrate the value of trigonometry in a variety of careers. Mary Jane Sterling (Peoria, IL) has taught mathematics at Bradley University in Peoria for more than 20 years. She is also the author of the highly successful Algebra For Dummies (0-7645-5325-9).

    Soon the woods are full of men out to catch both the eel and the girl. "Penguin Readers" is a series of simplified novels, film novelizations and original titles that introduce students at all levels to the pleasures of reading in English. Originally designed for teaching English as a foreign language, the series' combination of high interest level and low reading age makes it suitable for both English-speaking teenagers with limited reading skills and students of English as a second language. Many titles in the series also provide access to the pre-20th century literature strands of the National Curriculum English Orders. "Penguin Readers" are graded at seven levels of difficulty, from "Easystarts" with a 200-word vocabulary, to Level 6 (Advanced) with a 3000-word vocabulary. In addition, titles fall into one of three sub-categories: "Contemporary", "Classics" or "Originals". At the end of each book there is a section of enjoyable exercises focusing on vocabulary building, comprehension, discussion and writing. Some titles in the series are available with an accompanying audio cassette, or in a book and cassette pack. Additionally, selected titles have free accompanying "Penguin Readers Factsheets" which provide stimulating exercise material for students, as well as suggestions for teachers on how to exploit the Readers in class.

    But strange events at the house have her worried for the safety of her charges. Steeped in horrific history Rose Mansion isn't a welcome place. Floorboards creak, doors open and close, and strange sounds resonate at night. Nothing unusual for such an old house. Surely? But Ashley feels there is something else. Something dark. Something sinister. As matters begin to escalate, she begins to doubt her own sanity...

    She seems to be more interested in estate management and improvement than in the more usual pursuits of young ladies. A French frigate of possibly new design has been using the period of peace to take British frigates and merchant ships illegally and spirit the captures to some unknown base. Giles is called from his bucolic pursuits to take command of a newly built frigate whose task is to find and destroy the enemy vessel and recapture her prizesWhile Captain Giles is doing this, life continues apace at Dipton so that when Giles can snatch some leave, he finds that things have not remained static. The novel tells of how events develop at sea and also on land in the early days following the abrogation of the treaty of Amiens.

    Download your copy, and enjoy this salaciously hot romance box set today! Nicole’s Note: Sinful Like Us is a Collection of 10 stand-alone romance novellas. No cliffhanger, no cheating, plenty of steam and a guaranteed HEA. Happy reading!

    Liliana is a beautiful and educated young Jewish woman. She marries Henry and becomes a mother to Rebecca. She has a full life ahead of her in Poland, or so it seems. The time period is the beginning of World War II, when the Germans invade Poland. To protect her, Liliana and Henry entrust Rebecca to their Christian friends. Shortly thereafter, Henry is among those taken to the concentration camp. Time passes, and Liliana knows little about the fate of her husband or daughter. To survive, Liliana (now known as Helena) assumes the identity of a Polish aristocrat and ends up working for a German officer named Robert. In a twist of fate, Robert and Helena fall in love with each other and get married. Unknown to Liliana, Henry survives and reunites with their daughter Rebecca. He finds a way to communicate with Liliana, only to find out that she started a new life. Liliana has yet to reveal her true identity to her German husband. Filled with guilt and longing for Rebecca, she thinks of putting an end to all of the lies. Will Liliana finally overcome her fears and reunite with her daughter? Parallel Lives is based on a true story. It brings the reader on a captivating journey of the "parallel lives" of a family who was separated by war. The journey takes the reader though a myriad of human emotions, including: love, jealousy, fear, despair, and freedom.