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Author :
Publisher : Academic Press
ISBN 13 : 0080874134
Total Pages : 301 pages
Book Rating : 4.0/5 (88 download)
Download or read book A Panorama of Pure Mathematics, As Seen by N. Bourbaki written by and published by Academic Press. This book was released on 1982-08-18 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Panorama of Pure Mathematics, As Seen by N. Bourbaki
Author : Pierre Cartier
Publisher : Springer
ISBN 13 : 8132227883
Total Pages : 117 pages
Book Rating : 4.1/5 (322 download)
Download or read book Freedom in Mathematics written by Pierre Cartier and published by Springer. This book was released on 2016-04-26 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world. Cédric Villani’s popular success proves once again that a common awareness has developed, albeit in a very confused way, of the major role of mathematics in the construction and efficiency of natural sciences, which are at the origin of our technologies. Despite this, the idea that mathematics cannot be shared remains firmly entrenched, a perceived failing that has even been branded a lack of culture by vocal forces in the media as well as cultural and political establishment. The authors explore three major directions in their dialogue: the highly complex relationship between mathematics and reality, the subject of many debates and opposing viewpoints; the freedom that the construction of mathematics has given humankind by enabling them to develop the natural sciences as well as mathematical research; and the responsibility with which the scientific community and governments should address the role of mathematics in research and education policies.
Author : Giorgio Israel
Publisher : Springer Science & Business Media
ISBN 13 : 3764398965
Total Pages : 215 pages
Book Rating : 4.7/5 (643 download)
Download or read book The World as a Mathematical Game written by Giorgio Israel and published by Springer Science & Business Media. This book was released on 2009-04-24 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science.
Author : Paul Taylor
Publisher : Cambridge University Press
ISBN 13 : 9780521631075
Total Pages : 590 pages
Book Rating : 4.6/5 (31 download)
Download or read book Practical Foundations of Mathematics written by Paul Taylor and published by Cambridge University Press. This book was released on 1999-05-13 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the basis of mathematical reasoning both in pure mathematics itself (particularly algebra and topology) and in computer science (how and what it means to prove correctness of programs). It contains original material and original developments of standard material, so it is also for professional researchers, but as it deliberately transcends disciplinary boundaries and challenges many established attitudes to the foundations of mathematics, the reader is expected to be open minded about these things.
Author : Martha A. Tucker
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0313053375
Total Pages : 362 pages
Book Rating : 4.3/5 (13 download)
Download or read book Guide to Information Sources in Mathematics and Statistics written by Martha A. Tucker and published by Bloomsbury Publishing USA. This book was released on 2004-09-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.
Author : Yi Lin
Publisher : Springer Science & Business Media
ISBN 13 : 0306469626
Total Pages : 382 pages
Book Rating : 4.3/5 (64 download)
Download or read book General Systems Theory written by Yi Lin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: As suggested by the title of this book, I will present a collection of coherently related applications and a theoretical development of a general systems theory. Hopefully, this book will invite all readers to sample an exciting and challenging (even fun!) piece of interdisciplinary research, that has characterized the scientific and technological achievements of the twentieth century. And, I hope that many of them will be motivated to do additional reading and to contribute to topics along the lines described in the following pages. Since the applications in this volume range through many scientific disciplines, from sociology to atomic physics, from Einstein’s relativity theory to Dirac’s quan tum mechanics, from optimization theory to unreasonable effectiveness of mathe matics to foundations of mathematical modeling, from general systems theory to Schwartz’s distributions, special care has been given to write each application in a language appropriate to that field. That is, mathematical symbols and abstractions are used at different levels so that readers in various fields will find it possible to read. Also, because of the wide range of applications, each chapter has been written so that, in general, there is no need to reference a different chapter in order to understand a specific application. At the same time, if a reader has the desire to go through the entire book without skipping any chapter, it is strongly suggested to refer back to Chapters 2 and 3 as often as possible.
Author : K. Gavroglu
Publisher : Springer Science & Business Media
ISBN 13 : 9401726582
Total Pages : 405 pages
Book Rating : 4.4/5 (17 download)
Download or read book Physics, Philosophy, and the Scientific Community written by K. Gavroglu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: In three volumes, a distinguished group of scholars from a variety of disciplines in the natural and social sciences, the humanities and the arts contribute essays in honor of Robert S. Cohen, on the occasion of his 70th birthday. The range of the essays, as well as their originality, and their critical and historical depth, pay tribute to the extraordinary scope of Professor Cohen's intellectual interests, as a scientist-philosopher and a humanist, and also to his engagement in the world of social and political practice. The essays presented in Physics, Philosophy, and the Scientific Community (Volume I of Essays in Honor of Robert S. Cohen) focus on philosophical and historical issues in contemporary physics: on the origins and conceptual foundations of quantum mechanics, on the reception and understanding of Bohr's and Einstein's work, on the emergence of quantum electrodynamics, and on some of the sharp philosophical and scientific issues that arise in current scientific practice (e.g. in superconductivity research). In addition, several essays deal with critical issues within the philosophy of science, both historical and contemporary: e.g. with Cartesian notions of mechanism in the philosophy of biology; with the language and logic of science - e.g. with new insights concerning the issue of a `physicalistic' language in the arguments of Neurath, Carnap and Wittgenstein; with the notion of `elementary logic'; and with rational and non-rational elements in the history of science. Two original contributions to the history of mathematics and some studies in the comparative sociology of science round off this outstanding collection.
Author : Peter Jephson Cameron
Publisher : Cambridge University Press
ISBN 13 : 9780521457613
Total Pages : 372 pages
Book Rating : 4.4/5 (576 download)
Download or read book Combinatorics written by Peter Jephson Cameron and published by Cambridge University Press. This book was released on 1994-10-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given.
Author : Peter J. Cameron
Publisher : Cambridge University Press
ISBN 13 : 110739337X
Total Pages : 372 pages
Book Rating : 4.1/5 (73 download)
Download or read book Combinatorics written by Peter J. Cameron and published by Cambridge University Press. This book was released on 1994-10-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given.
Author : Bernard J. F. Lonergan
Publisher : University of Toronto Press
ISBN 13 : 9780802039897
Total Pages : 492 pages
Book Rating : 4.0/5 (398 download)
Download or read book Understanding and Being written by Bernard J. F. Lonergan and published by University of Toronto Press. This book was released on 1988-01-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: entirety to contemporary readers." --Book Jacket.
Author : John P. Burgess
Publisher : OUP Oxford
ISBN 13 : 0191033596
Total Pages : 224 pages
Book Rating : 4.1/5 (91 download)
Download or read book Rigor and Structure written by John P. Burgess and published by OUP Oxford. This book was released on 2015-02-12 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: While we are commonly told that the distinctive method of mathematics is rigorous proof, and that the special topic of mathematics is abstract structure, there has been no agreement among mathematicians, logicians, or philosophers as to just what either of these assertions means. John P. Burgess clarifies the nature of mathematical rigor and of mathematical structure, and above all of the relation between the two, taking into account some of the latest developments in mathematics, including the rise of experimental mathematics on the one hand and computerized formal proofs on the other hand. The main theses of Rigor and Structure are that the features of mathematical practice that a large group of philosophers of mathematics, the structuralists, have attributed to the peculiar nature of mathematical objects are better explained in a different way, as artefacts of the manner in which the ancient ideal of rigor is realized in modern mathematics. Notably, the mathematician must be very careful in deriving new results from the previous literature, but may remain largely indifferent to just how the results in the previous literature were obtained from first principles. Indeed, the working mathematician may remain largely indifferent to just what the first principles are supposed to be, and whether they are set-theoretic or category-theoretic or something else. Along the way to these conclusions, a great many historical developments in mathematics, philosophy, and logic are surveyed. Yet very little in the way of background knowledge on the part of the reader is presupposed.
Author : Carl C. Gaither
Publisher : Springer Science & Business Media
ISBN 13 : 0387495770
Total Pages : 1793 pages
Book Rating : 4.3/5 (874 download)
Download or read book Gaither's Dictionary of Scientific Quotations written by Carl C. Gaither and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 1793 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists and other keen observers of the natural world sometimes make or write a statement pertaining to scientific activity that is destined to live on beyond the brief period of time for which it was intended. This book serves as a collection of these statements from great philosophers and thought–influencers of science, past and present. It allows the reader quickly to find relevant quotations or citations. Organized thematically and indexed alphabetically by author, this work makes readily available an unprecedented collection of approximately 18,000 quotations related to a broad range of scientific topics.
Author : Harold Scott Macdonald Coxeter
Publisher : American Mathematical Soc.
ISBN 13 : 9780821887608
Total Pages : 344 pages
Book Rating : 4.8/5 (876 download)
Download or read book The Coxeter Legacy written by Harold Scott Macdonald Coxeter and published by American Mathematical Soc.. This book was released on with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays on the legacy of mathematican Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists.
Author : Igor Frenkel
Publisher : Academic Press
ISBN 13 : 0080874541
Total Pages : 563 pages
Book Rating : 4.0/5 (88 download)
Download or read book Vertex Operator Algebras and the Monster written by Igor Frenkel and published by Academic Press. This book was released on 1989-05-01 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."
Author : Vennie Edwards
Publisher : Scientific e-Resources
ISBN 13 : 1839473827
Total Pages : 304 pages
Book Rating : 4.8/5 (394 download)
Download or read book Electron Theory written by Vennie Edwards and published by Scientific e-Resources. This book was released on 2018-11-12 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electrical phenomena have been studied since antiquity, though progress in theoretical understanding remained slow until the seventeenth and eighteenth centuries. Even then, practical applications for electricity were few, and it would not be until the late nineteenth century that electrical engineers were able to put it to industrial and residential use. The rapid expansion in electrical technology at this time transformed industry and society, becoming a driving force for the Second Industrial Revolution. Electricity's extraordinary versatility means it can be put to an almost limitless set of applications which include transport, heating, lighting, communications, and computation. Electrical power is now the backbone of modern industrial society. When you have completed this book, you should be able to describe the principles of electron flow, static electricity, conductors, and insulators and discuss basic electrical concepts and principles of magnetism.
Author :
Publisher : Academic Press
ISBN 13 : 9780080874562
Total Pages : 406 pages
Book Rating : 4.8/5 (745 download)
Download or read book Initial-Boundary Value Problems and the Navier-Stokes Equations written by and published by Academic Press. This book was released on 1989-06-01 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initial-Boundary Value Problems and the Navier-Stokes Equations
Author : Nolan R. Wallach
Publisher : Academic Press
ISBN 13 : 9780080874517
Total Pages : 412 pages
Book Rating : 4.8/5 (745 download)
Download or read book Real Productive Groups I written by Nolan R. Wallach and published by Academic Press. This book was released on 1988-03-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real Reductive Groups I is an introduction to the representation theory of real reductive groups. It is based on courses that the author has given at Rutgers for the past 15 years. It also had its genesis in an attempt of the author to complete a manuscript of the lectures that he gave at the CBMS regional conference at The University of North Carolina at Chapel Hill in June of 1981. This book comprises 10 chapters and begins with some background material as an introduction. The following chapters then discuss elementary representation theory; real reductive groups; the basic theory of (g, K)-modules; the asymptotic behavior of matrix coefficients; The Langlands Classification; a construction of the fundamental series; cusp forms on G; character theory; and unitary representations and (g, K)-cohomology. This book will be of interest to mathematicians and statisticians.
