These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the dramatic scientific history expressed in the lives of these two great scientists and described in the lively, nontechnical writing style of Contance Reid.

    It combines the essential elements of the theory with the practical applications. Containing many examples and problems with step-by-step solutions, this cleverly structured text assists the reader in mastering the machinery of quantum mechanics. * A comprehensive introduction to the subject * Includes over 65 solved examples integrated throughout the text * Includes over 154 fully solved multipart problems * Offers an indepth treatment of the practical mathematical tools of quantum mechanics * Accessible to teachers as well as students

    

    This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

    As the runaway winner of I'm a Celebrity Get Me Out of Here 2017, Toff surprised us all, not least herself, with her positive, happy-go-lucky attitude and kindness to others, no matter what challenge came her way in the jungle.In ALWAYS SMILING, Toff is here to share her experiences, some funny, some sad, some that make her cringe with embarrassment. So whether it is friendships, family dramas, heartbreak and relationships, or how she coped with living her life in front of millions of viewers of Made in Chelsea, Toff reveals how she has learnt to keep a smile on her face, whatever life throws at her.Told with her trademark honesty, humour and endless sense of fun, ALWAYS SMILING is a must-have for any fan.

    Parker removes that pain by offering an opportunity to Get-to-Know the 'Master of Electricity,' to learn of his youth and upbringing, his early career, and of course his pivotal role in advancing the World into the Electrical Age! Turn these pages and enjoy the opportunity to learn history, but better yet to come to know Tesla better through Parker’s amazing ability to describe his life, his eccentricities and above all, his accomplishments; making this an enjoyable and interesting Quick-Read Biography. This Book also Comes with a FREE Gift!

    Always afraid he was about to die, he climbed into the cockpit anyway ... and lived to tell you about it. How would you feel if you were a new guy in the sky ... attacked by four Messerschmitts? Let me tell you, no matter how much you prepare, no matter how much you read, how much you train, no matter how much you think of yourself as a 'Hot Shot Pilot,' you are never ready for life and death combat! How did it feel to say a 'last goodbye' to your bride believing you would never see her again, as you left to fight WWII? Author's Facebook page at: facebook.com/P38Flyer/ As reviewed by A. L. Hanks, Lieutenant Colonel, USAF (Ret) who said it perfectly: In "Brave and Funny Memories of WWII" Lyndon Shubert, to our great benefit, tells us his story, an engaging tale of his WWII experience as a fighter pilot in WWII. A member of the "greatest generation" he recounts his days (and nights) flying P-38 fighters in the wartime skies of Europe. The tale is told in a relaxed, conversational style, honest and personal. The reader will appreciate the authenticity and the easy humor. He tells us a story that is at once delightfully humorous and deadly serious. He shares that unfettered sense of flying a powerful aircraft free in the vast expanse of the sky. The special sense that pilots have when they "can reach out and touch the face of God". Shubert relates the feelings of men in combat, that gripping apprehension in your gut when you know you're going to die, your senses at full maximum intensity, and then that striking after mission fear when you look back and realize that you cheated death once again. Shubert was indeed a special fellow. We are indebted to him for his service and his book. He captures a special piece of the American character and our history that is essential to pass on to our children and grandchildren. Lt Shubert was exceptional, a USAF officer and a fighter pilot who fought the war and earned the Distinguished Flying Cross. The author reminds us once again why fighter pilots are special. Why they are ubiquitously viewed as swaggering "raconteurs", with big egos and big watches who can sometimes be insufferable. But his tale also captures the reality of one-on-one aerial combat, loser goes home.... to God.

    With the sort of smart, persuasive voice associated with Simon Armitage and Michael Donaghy, these poems worry at the world in search of consolation, or else meet life's absurdity and strangeness half-way; whether sitting proudly atop an unexploded bomb, or injecting blood under the skin of a banana, playfulness and imagination are vehicles for confronting 'the fearful and forgotten things I've lied to myself about'. Here are poems which address anxiety about fatherhood, remorse for lost lovers and friends, or mourn for a miscarried sibling. Happiness is a collection preoccupied with the ephemerality of happiness itself, at the ever-present possibility of its departure, and the ways we try to grasp and keep hold of it. 'Every single thought I'm having is about LOVE', here meaning both the pleasure and panic of love, its peculiarity; love as a feeling of risk, love for one's own body, familiar yet estranged, of 'cack-handed LOVE at his console', love like 'pausing to move a snail somewhere safer in the rain'.

    The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

    This guidebook is not meant to replace a Lonely Planet/Frommers/Rough Guide, but rather to compliment them. In NZ Frenzy you'll find info about all the South's must-see spots, plus detailed info about the lesser-known and unheralded off-the-beaten-path wonder spots. This guidebook goes WAY beyond the vague outdoor info in the mainstream travel guidebooks. NZ Frenzy is about giving you the details you'll need to find the "real" NZ, the one without lines of tour buses, the one without brochures of pay-to-see commercialized natural "attractions". NZ Frenzy, unlike any of the other mainstream guidebooks, will deliver you to the New Zealand that you've been planning for and fantasizing about. I guarantee it. Please read the reviews of NZ Frenzy North Island to see what travelers think of my info. Are you going to NZ to be a tourist at touristy crowded places or do you want to find the "Real" New Zealand that you'll tell stories about?? When you have an NZ Frenzy in hand, you'll leave the other guidebooks in the glove box and you'll leave the tourists behind!! The South Island has natural wonders beyond compare, but the mainstream media only promotes the commercialized stuff. Don't waste your precious time while in NZ waiting in line at the tourist visitor centers...get NZ Frenzy and go experience the Real New Zealand, the Fabled New Zealand. You can have the trip of a lifetime, you will have the trip of a lifetime!!

    Sequel to laugh-out-loud romantic comedy Blame it on the OnesieIt’s all change for Ella.•Nathan has declared his love: ‘It was only ever you I wanted, only ever you I loved.’•Sleaze weasel Hal is but a distant memory•Spring Cottage ‘rules’ are getting in the way•And Christmas seems a long way offPull on your onesie, light the fire, grab a hot chocolate and join Ella, Nathan, Sam, Charlie, Walt and the cavalry for another riotous read.

    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

    In 2008, inspirational surgeon Chris O'Brien published his bestselling memoir of his battle with brain cancer, NEVER SAY DIE. But he wasn't the only person in the O'Brien household with a powerful story to tell. Since Chris passed away in 2009, his wife Gail has gone on a journey of her own: from a busy surgeon's wife and mother of a picture-perfect family to a widow in her mid-50s, grieving not only her husband but also her son Adam, who died as a result of epilepsy a short time after Chris's death. Yet in the midst of her grief, Gail discovered resolve and strength deep within herself. When Chris was alive, Gail was the woman behind the great man. But after his death, she stepped forward to make her own mark on the world. While coming to terms with both a public and private loss, Gail took on Chris's legacy as steward of the Chris O'Brien Lifehouse cancer centre, navigating the often bruising politics of boards and committees to ensure his vision was realised. She also went back to work as a physio after being out of the workforce for 20 years, while still holding her shattered family together. She reinvented herself and found that she could survive and even thrive in a world without her soul mate. A moving, inspiring, deeply poignant and often joyous story of family, love and loss - and ultimately, about finding your purpose in the world.

    Through an exhaustive, evidence-based analysis of medical research, the study concludes that MS is a disease largely determined by lifestyle factors. Showing that people with MS who modify their diet, their exercise habits, and other aspects of their lifestyle can stabilize the illness and potentially recover, these recommendations will change the lives of thousands of people with MS and support their loved ones.

    The discovery has been described as "the equivalent of finding a small dinosaur still alive on Earth."