The Mathematics of Time PDF Download

Author: Steve Smale
Publisher: Springer Science & Business Media
ISBN: 1461381010
Category : Mathematics
Languages : en
Pages : 154

View

Book Description

Author: Arthur T. Winfree
Publisher: Springer Science & Business Media
ISBN: 3662224925
Category : Mathematics
Languages : en
Pages : 543

View

Book Description
As 1 review these pages, the last of them written in Summer 1978, some retrospec tive thoughts come to mind which put the whole business into better perspective for me and might aid the prospective reader in choosing how to approach this volume. The most conspicuous thought in my mind at present is the diversity of wholly independent explorations that came upon phase singularities, in one guise or another, during the past decade. My efforts to gather the published literature during the last phases of actually writing a whole book about them were almost equally divided between libraries of Biology, Chemistry, Engineering, Mathematics, Medicine, and Physics. A lot of what 1 call "gathering " was done somewhat in anticipation in the form of cönjecture, query, and prediction based on analogy between developments in different fields. The consequence throughout 1979 was that our long-suffering publisher re peatedly had to replace such material by citation of unexpected flurries of papers giving substantive demonstration. 1 trust that the authors of these many excellent reports, and especially of those I only found too late, will forgive the brevity of allusion I feIt compelled to observe in these substitutions. A residue of loose ends is largely collected in the index under "QUERIES. " It is c1ear to me already that the materials I began to gather several years ago represented only the first flickering of what turns out to be a substantial conflagration.

Author: Alice Wonders
Publisher: Springer Nature
ISBN: 3030771660
Category : Mathematics
Languages : en
Pages : 208

View

Book Description
The title of this book, Math in the Time of Corona, has been drawn from the highly acclaimed novel by Gabriel García Márquez, Love in the Time of Cholera. The volume editor, Alice Wonders, holds a fictitious name that represents the mathematics publishing group at Springer Nature. Undeterred by disasters, so many mathematical and scientific discoveries have been made during times of duress or confinement. Unlike most any other subject, mathematics may be researched from anywhere. Covid-19, like Cholera, implementation of vaccinations have been uneven throughout the globe since the beginning of 2021. However, there has been a renewed hope for a return to normalcy though the timing will no doubt vary worldwide. Essays in this volume vary in topic and are written by members of the greater mathematics community, hence the use of “Math” in the book title. They recount or describe significant or noteworthy discoveries, musings, award winnings, eureka moments, challenges, solutions, inspirations, etc. that have resulted from, or have occurred during, an unprecedented global pandemic. Several of the authors have been involved in starting new research and devising new methodologies related to society’s response to the outbreak and its ability to self-organize during a dramatic and complex situation. Some contributions describe how mathematical models and the management of big data have proved to be fundamental tools for the interpretation of epidemic activity and development of coping mechanisms.

Author: Gina Bari Kolata
Publisher: Union Square & Company
ISBN: 9781402793226
Category : Mathematics
Languages : en
Pages : 0

View

Book Description
Presents a selection from the archives of the New York newspaper of its writings on mathematics from 1892 to 2010, covering such topics as chaos theory, statistics, cryptography, and computers.

Author: Alexander Unzicker
Publisher:
ISBN:
Category :
Languages : en
Pages : 222

View

Book Description
Alexander Unzicker is a theoretical physicist and writes about elementary questions of natural philosophy. His critique of contemporary physics Bankrupting Physics (Macmillan) received the 'Science Book of the Year' award (German edition 2010). With The Mathematical Reality, Unzicker presents his most fundamental work to date, which is the result of years of study of natural laws and their historical development.The discovery of fundamental laws of nature has influenced the fate of Homo sapiens more than anything else. Has modern physics already understood these laws? Many puzzles formulated by Albert Einstein or Paul Dirac are still unsolved today, in particular the meaning of fundamental constants. In this book, Unzicker contends that a rational description of nature must do without any constants.A methodological and historical analysis shows, however, that the underlying problem of physics is deep, unexpected and fatal: the concepts of space and time themselves, the basis of science since Newton, could be fundamentally inappropriate for the description of reality, although-or precisely because-they are so easily accessible to human perception.A new understanding of reality can only arise from mathematics. By exploring the three-dimensional unitary sphere, which could replace the concepts of space and time, the author presents a mathematical vision that points the way to a new understanding of reality.

Author: Stephen Smale
Publisher: Springer
ISBN:
Category : Business & Economics
Languages : en
Pages : 166

View

Book Description

Author: Roger Penrose
Publisher: Vintage
ISBN: 0307596745
Category : Science
Languages : en
Pages : 307

View

Book Description
From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.

Author: Gregory L. Naber
Publisher: Courier Corporation
ISBN: 9780486432359
Category : Mathematics
Languages : en
Pages : 276

View

Book Description
This mathematically rigorous treatment examines Zeeman's characterization of the causal automorphisms of Minkowski spacetime and the Penrose theorem concerning the apparent shape of a relativistically moving sphere. Other topics include the construction of a geometric theory of the electromagnetic field; an in-depth introduction to the theory of spinors; and a classification of electromagnetic fields in both tensor and spinor form. Appendixes introduce a topology for Minkowski spacetime and discuss Dirac's famous "Scissors Problem." Appropriate for graduate-level courses, this text presumes only a knowledge of linear algebra and elementary point-set topology. 1992 edition. 43 figures.

Author: Roberto Mangabeira Unger
Publisher: Cambridge University Press
ISBN: 1107074061
Category : Science
Languages : en
Pages : 567

View

Book Description
Roberto Mangabeira Unger and Lee Smolin argue for a revolution in our cosmological ideas. Ideal for non-scientists, physicists and cosmologists.

Author: Mandy Kahn
Publisher:
ISBN: 9781908998989
Category : Poetry
Languages : en
Pages : 0

View

Book Description
Poetry. After selling out its British edition, Mandy Kahn's stunning first collection of poems, MATH, HEAVEN, TIME, is now available in an American paperback edition. This is a collection with easy lyricism and clear- eyed wisdom woven effortlessly into its remarkably readable fabric, written by a poet whom World Literature Today calls "a rising star of West Coast poetry," and about whom Flaunt magazine says, "She is that relatively rare cultural anomaly, the professional poet, who confounds the warnings of finger- wagging parents and college counsellors everywhere."