Author: Mauri Valtonen,Hannu Karttunen
Publisher: Cambridge University Press
This book surveys statistical and perturbation methods for the solution of the general three body problem.
The Three-Body Trilogy (The Three-Body Problem, The Dark Forest, Death's End)
Author: Cixin Liu
Publisher: Tor Books
This discounted ebundle of the Three-Body Trilogy includes: The Three-Body Problem, The Dark Forest, Death’s End "Wildly imaginative, really interesting." —President Barack Obama The Three-Body trilogy by New York Times bestseller Cixin Liu keeps you riveted with high-octane action, political intrigue, and unexpected twists in this saga of first contact with the extraterrestrial Trisolaris. The Three-Body Problem — An alien civilization on the brink of destruction captures the signal and plans to invade Earth. Meanwhile, on Earth, different camps start forming, planning to either welcome the superior beings and help them take over a world seen as corrupt, or to fight against the invasion. The Dark Forest — In The Dark Forest, the aliens' human collaborators may have been defeated, but the presence of the sophons, the subatomic particles that allow Trisolaris instant access to all human information remains. Humanity responds with the Wallfacer Project, a daring plan that grants four men enormous resources to design secret strategies, hidden through deceit and misdirection from Earth and Trisolaris alike. Three of the Wallfacers are influential statesmen and scientists, but the fourth is a total unknown. Luo Ji, an unambitious Chinese astronomer and sociologist, is baffled by his new status. All he knows is that he's the one Wallfacer that Trisolaris wants dead. Death’s End — Half a century after the Doomsday Battle, Cheng Xin, an aerospace engineer from the early 21st century, awakens from hibernation in this new age. She brings with her knowledge of a long-forgotten program dating from the beginning of the Trisolar Crisis, and her very presence may upset the delicate balance between two worlds. Will humanity reach for the stars or die in its cradle? Other Books by Cixin Liu (Translated to English) The Remembrance of Earth's Past The Three-Body Problem The Dark Forest Death's End Other Books Ball Lightning At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Author: June Barrow-Green
Publisher: American Mathematical Soc.
The idea of chaos figures prominently in mathematics today. It arose in the work of one of the greatest mathematicians of the late 19th century, Henri Poincare, on a problem in celestial mechanics: the three body problem. This ancient problem - to describe the paths of three bodies in mutual gravitational interaction - is one of those which is simple to pose but impossible to solve precisely. Poincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error.In correcting this error Poincare discovered mathematical chaos, as is now clear from Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. ""Poincare and the Three Body Problem"" opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.
Author: Cixin Liu
Publisher: Remembrance of Earth's Past
A Three-Body Problem Novel
Publisher: Tor Books
Set in the universe of the New York Times bestselling Three-Body Problem trilogy, The Redemption of Time continues Cixin Liu’s multi-award-winning science fiction saga. This original story by Baoshu—published with Liu’s support—envisions the aftermath of the conflict between humanity and the extraterrestrial Trisolarans. In the midst of an interstellar war, Yun Tianming found himself on the front lines. Riddled with cancer, he chose to end his life, only to find himself flash frozen and launched into space where the Trisolaran First Fleet awaited. Captured and tortured beyond endurance for decades, Yun eventually succumbed to helping the aliens subjugate humanity in order to save Earth from complete destruction. Granted a healthy clone body by the Trisolarans, Yun has spent his very long life in exile as a traitor to the human race. Nearing the end of his existence at last, he suddenly receives another reprieve—and another regeneration. A consciousness calling itself The Spirit has recruited him to wage battle against an entity that threatens the existence of the entire universe. But Yun refuses to be a pawn again and makes his own plans to save humanity’s future... At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Author: Catherine Shaw
Publisher: Allison & Busby
Cambridge, 1888. When schoolmistress Vanessa Duncan learns of a murder at St John's College, little does she know that she will become deeply entangled in the mystery. Dr Geoffrey Akers, Fellow in Pure Mathematics, has been found dead, struck down by a violent blow to the head. What could provoke such a brutal act? Vanessa, finding herself in amongst Cambridge's brightest scholarly minds, discovers that the motive may lie in mathematics itself. Drawn closer to the case by a blossoming friendship with mathematician Arthur Weatherburn, Vanessa begins to investigate. When she learns of Sir Isaac Newton's elusive 'n-body problem' and the prestigious prize offered to anyone with a solution, things begin to make sense. But with further deaths occurring and the threat of an innocent man being condemned, Vanessa must hurry with her calculations...
Author: Cixin Liu
The New York Times bestselling conclusion to a tour de force near-future adventure trilogy from China's bestselling and beloved science fiction writer. With The Three-Body Problem, English-speaking readers got their first chance to read China's most beloved science fiction author, Cixin Liu. The Three-Body Problem was released to great acclaim including coverage in The New York Times and The Wall Street Journal and reading list picks by Barack Obama and Mark Zuckerberg. It was also won the Hugo and Nebula Awards, making it the first translated novel to win a major SF award. Now this epic trilogy concludes with Death's End. Half a century after the Doomsday Battle, the uneasy balance of Dark Forest Deterrence keeps the Trisolaran invaders at bay. Earth enjoys unprecedented prosperity due to the infusion of Trisolaran knowledge. With human science advancing daily and the Trisolarans adopting Earth culture, it seems that the two civilizations will soon be able to co-exist peacefully as equals without the terrible threat of mutually assured annihilation. But the peace has also made humanity complacent. Cheng Xin, an aerospace engineer from the early twenty-first century, awakens from hibernation in this new age. She brings with her knowledge of a long-forgotten program dating from the beginning of the Trisolar Crisis, and her very presence may upset the delicate balance between two worlds. Will humanity reach for the stars or die in its cradle? The Remembrance of Earth's Past Trilogy The Three-Body Problem The Dark Forest Death's End Other Books Ball Lightning (forthcoming) At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Author: C. Marchal
Recent research on the theory of perturbations, the analytical approach and the quantitative analysis of the three-body problem have reached a high degree of perfection. The use of electronics has aided developments in quantitative analysis and has helped to disclose the extreme complexity of the set of solutions. This accelerated progress has given new orientation and impetus to the qualitative analysis that is so complementary to the quantitative analysis. The book begins with the various formulations of the three-body problem, the main classical results and the important questions and conjectures involved in this subject. The main part of the book describes the remarkable progress achieved in qualitative analysis which has shed new light on the three-body problem. It deals with questions such as escapes, captures, periodic orbits, stability, chaotic motions, Arnold diffusion, etc. The most recent tests of escape have yielded very impressive results and border very close on the true limits of escape, showing the domain of bounded motions to be much smaller than was expected. An entirely new picture of the three-body problem is emerging, and the book reports on this recent progress. The structure of the solutions for the three-body problem lead to a general conjecture governing the picture of solutions for all Hamiltonian problems. The periodic, quasi-periodic and almost-periodic solutions form the basis for the set of solutions and separate the chaotic solutions from the open solutions.