A number of the key figures in the new edition are revised to provide a more inviting and informative treatment. The figures are broken into component parts with supporting commentary so that they can more readily see the key ideas. Material from The Flying Circus is incorporated into the chapter opener puzzlers, sample problems, examples and end-of-chapter problems to make the subject more engaging. Checkpoints enable them to check their understanding of a question with some reasoning based on the narrative or sample problem they just read. Sample Problems also demonstrate how engineers can solve problems with reasoned solutions.

    With a foreword by ESA astronaut Tim Peake.Started at the Royal Institution (RI) in 1825 by Michael Faraday, the Christmas Lectures have been broadcast on television since the 1960s and have formed part of the British Christmas tradition for generations. First devised to attract young people to the magic of science through spectacular demonstrations, they are now watched by millions of people around the world every year.Drawing on the incredible archive at the RI, which is packed full of handwritten notebooks, photographs and transcripts, this book will focus on thirteen of the most captivating Lectures given at the RI on space and time, taking a look at what we thought we knew then and what has been discovered since.

    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

    From the months each of us spent suspended in the womb anticipating birth to the moments when we wait for sleep to transport us to other realities, we are always aware of gravity. In On Gravity, physicist A. Zee combines profound depth with incisive accessibility to take us on an original and compelling tour of Einstein's general theory of relativity.Inspired by Einstein's audacious suggestion that spacetime could ripple, Zee begins with the stunning discovery of gravity waves. He goes on to explain how gravity can be understood in comparison to other classical field theories, presents the idea of curved spacetime and the action principle, and explores cutting-edge topics, including black holes and Hawking radiation. Zee travels as far as the theory reaches, leaving us with tantalizing hints of the utterly unknown, from the intransigence of quantum gravity to the mysteries of dark matter and energy.Concise and precise, and infused with Zee's signature warmth and freshness of style, On Gravity opens a unique pathway to comprehending relativity and gaining deep insight into gravity, spacetime, and the workings of the universe.

    As a pragmatic, hands-on guide for beginning to intermediate hobbyists, The Conscientious Marine Aquarist demystifies the process of planning, setting up, stocking, and managing a beautiful, thriving slice of the tropical ocean. A leading advocate for the responsible collection and care of wild-caught specimens, Fenner starts with the basics -- "What is a fish?" -- and proceeds to give the reader the scientific background and expert-level secrets to being a smarter consumer, better steward, and more successful marine aquarium keeper.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    But what sort of person was the young Albert Einstein, before he became universally acclaimed as the archetypal genius? And how did his genius unfold? In this brilliant new Kindle Single, scientist Robyn Arianrhod blends biography with popular science to tell the story of how young Albert developed a theory that – unknown to him at first – contained the seeds of his extraordinary equation E = mc2. Arianrhod, who wrote her PhD on Einstein’s general theory of relativity, makes the ideas behind the equation accessible to the lay reader, and sets young Einstein’s exploration of these ideas against the backdrop of his first loves, his family and marriage, and, above all, his childlike wonder at the nature of the universe. She introduces his heroes and scientific inspirations, and the friends who believed in him when no one else did. In personalising Einstein, she brings to life both the man and his science, in a short, easy-to-read narrative. In showing how he discovered his famous equation, and what it means, she draws a compelling portrait of this prodigious intellect whose unfathomable grasp of the building blocks of physics would change our world forever. About the Author: Dr Robyn Arianrhod is the author of two critically acclaimed works of popular science and scientific history: Einstein’s Heroes: Imagining the World Through the Language of Mathematics, and Seduced by Logic: Émilie du Châtelet, Mary Somerville and the Newtonian Revolution. Both were shortlisted for major book awards and are published in the USA. Einstein’s Heroes was translated into several languages. Robyn was awarded her PhD for research on Einstein’s general theory of relativity and has lectured in applied mathematics (including special relativity) for many years. She is currently an Adjunct Research Fellow in the School of Mathematical Sciences at Monash University in Melbourne, where she is undertaking research on the structure of relativistic space-times. She is also a technical reviewer for the American Mathematical Society. Praise for Robyn Arianrhod's books: Einstein’s Heroes ‘Arianrhod’s achievement is to so masterfully combine history, biography, and mathematics as to absorb and enlighten even the mathematically maladroit’ – Booklist ‘An intriguing blend of science, history, and biography . . . Arianrhod’s well-written, fascinating discussion of intertwined topics is highly recommended’ – Library Journal (starred review) ‘A thrilling story . . . Arianrhod brings out the human side of the scientists’ – Bloombergnews ‘Offers readers an engaging intellectual exercise combining physics, language, mathematics, and biography’ – Science News Seduced by Logic ‘Seduced by Logic offers the lay reader an easy and agreeable introduction to the evolution of some crucial scientific debates . . . One cannot help be captivated by her intellectual honesty and enthusiasm’ – Times Higher Education ‘An elegant and inspiring history of how scientific revolutions make their way’ – Edward Dolnick, The Clockwork Universe ‘Here is a skillfully written tapestry of the science, history and portrayal of two of the most charismatic women of mathematical science. Robyn Arianrhod has produced a captivating masterpiece’ – Joseph Mazur, author of Euclid in the Rainforest and What’s Luck Got to Do with It?

    Norman Baker said that about his autobiography. Why? He was a jackass. In the pages of this book meet 20 losers, killers, confidence tricksters, and incompetents - the Jackasses of History. For adult readers.

    That exception has been the United States, a country on which it has relied for its survival throughout its 60-year history. Every would-be aggressor has understood that the world’s most powerful nation was behind Israel and would not let her be destroyed, and every vote of condemnation of Israel in the UN would undoubtedly be met by a veto from the United States, until now. The Obama administration has signaled a noticeable shift in U.S. policy towards Israel, from Obama’s apology to the Arab and Muslim world for alleged American misdeeds to Obama’s most recent speech calling for a return to the 1967 lines. Obama and the War Against the Jews examines the origins and repercussions of this dramatic policy change of a nation from the world’s bulmark of democracy and freedom to an enabler of the very forces that are intent on destroying them.

    It is not the original book nor is it intended to replace the original book. You may purchase the original book here: http: //bit.ly/mansonsartIn this fast guide you'll be taken by the hand through a summary and analysis ofThe main points made by the authorAn organized chapter by chapter synopsisReferences to noteworthy people mentionedThe author's most valuable tips, websites, books, and toolsMost CompanionReads may be read in 30 minutes.This book is meant for anyone who is interested in enhancing their reading experience. It will give you deeper insight, fresher perspectives, and help you squeeze more enjoyment out of your book. Perfect for a quick refresh on the main ideas or when you want to use it as a topic of conversation at your next meeting.Enjoy this edition instantly on your Kindle deviceEnjoy this edition instantly on your Kindle device!Now available in paperback, digital, and audio editions.Sign up for our newsletter to get notified about our new books atwww.companionreads.com/gift

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    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.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    Half a century later, only robots have been to the Red Planet and our astronauts rarely venture beyond Earth orbit.Now Mars is back With everyone from Elon Musk to Ridley Scott and Donald Trump talking about it, interplanetary exploration is back on the agenda and Mars is once again the prime destination for future human expansion and colonisation. In Destination Mars, astrophysicist and science writer Andrew May traces the history of our fascination with the Red Planet and explores the science upon which a crewed mission would be based, from assembling a spacecraft in Earth orbit to surviving solar storms. With expert insight, he analyses the new space race and assesses what the future holds for human life on Mars.