Download indiscrete thoughts modern birkhauser classics in pdf or read indiscrete thoughts modern birkhauser classics in pdf online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get indiscrete thoughts modern birkhauser classics in pdf book now. This site is like a library, Use search box in the widget to get ebook that you want.



Indiscrete Thoughts

Author: Gian-Carlo Rota
Publisher: Springer Science & Business Media
ISBN: 9780817647810
Size: 43.62 MB
Format: PDF, Kindle
View: 3246
Download and Read
Indiscrete Thoughts gives a glimpse into a world that has seldom been described - that of science and technology as seen through the eyes of a mathematician. The era covered by this book, 1950 to 1990, was surely one of the golden ages of science and of the American university. Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period. Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. This beautifully written book is destined to become an instant classic and the subject of debate for decades to come.

Algebraic K Theory

Author: Vasudevan Srinivas
Publisher: Springer Science & Business Media
ISBN: 0817647392
Size: 22.91 MB
Format: PDF, ePub
View: 5861
Download and Read
Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and students in mathematics. This book is based on lectures given by the author at the Tata Institute in Bombay and elsewhere. This new edition includes an appendix on algebraic geometry that contains required definitions and results needed to understand the core of the book.

Differentiable Manifolds

Author: Lawrence Conlon
Publisher: Springer Science & Business Media
ISBN: 1475722842
Size: 53.96 MB
Format: PDF, Mobi
View: 3479
Download and Read
This book is based on the full year Ph.D. qualifying course on differentiable manifolds, global calculus, differential geometry, and related topics, given by the author at Washington University several times over a twenty year period. It is addressed primarily to second year graduate students and well prepared first year students. Presupposed is a good grounding in general topology and modern algebra, especially linear algebra and the analogous theory of modules over a commutative, unitary ring. Although billed as a "first course" , the book is not intended to be an overly sketchy introduction. Mastery of this material should prepare the student for advanced topics courses and seminars in differen tial topology and geometry. There are certain basic themes of which the reader should be aware. The first concerns the role of differentiation as a process of linear approximation of non linear problems. The well understood methods of linear algebra are then applied to the resulting linear problem and, where possible, the results are reinterpreted in terms of the original nonlinear problem. The process of solving differential equations (i. e., integration) is the reverse of differentiation. It reassembles an infinite array of linear approximations, result ing from differentiation, into the original nonlinear data. This is the principal tool for the reinterpretation of the linear algebra results referred to above.

Combinatorics The Rota Way

Author: Joseph P. S. Kung
Publisher: Cambridge University Press
ISBN: 052188389X
Size: 17.18 MB
Format: PDF, ePub, Mobi
View: 7097
Download and Read
Compiled and edited by two of Gian-Carlo Rota's students, this book is based on notes from his influential combinatorics courses.

The Star And The Whole

Author: Fabrizio Palombi
Publisher: CRC Press
ISBN: 1439873526
Size: 72.77 MB
Format: PDF, ePub, Docs
View: 4734
Download and Read
The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota’s philosophical reflection. Rota (1932–1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis, and trained several generations of mathematicians in his long career at the Massachusetts Institute of Technology (MIT) and the Los Alamos National Laboratory. The first chapter of the book reconstructs Rota’s cultural biography and examines his philosophical style, his criticisms of analytical philosophy, and his reflection on Heidegger’s thought. The second chapter presents a general picture of Rota’s re-elaboration of phenomenology examined in the light of the Husserlian notion of Fundierung. This chapter also illustrates how the star-shape becomes a powerful instrument for understanding the properties of Husserl’s mereology and the critique of objectivism. The third chapter is a theoretical reflection on the nature of mathematical entities, and the fourth examines the complex relation of mathematical research with technological applicability and scientific progress. The foreword of the text is written by Robert Sokolowski.

Digitized

Author: Peter J. Bentley
Publisher: OUP Oxford
ISBN: 0191633682
Size: 70.50 MB
Format: PDF, ePub, Docs
View: 1718
Download and Read
There's a hidden science that affects every part of your life. You are fluent in its terminology of email, WiFi, social networking, and encryption. You use its results when you make a telephone call, access the Internet, use any factory-produced product, or travel in any modern car. The discipline is so new that some prefer to call it a branch of engineering or mathematics. But it is so powerful and world-changing that you would be hard-pressed to find a single human being on the planet unaffected by its achievements. The science of computers enables the supply and creation of power, food, water, medicine, transport, money, communication, entertainment, and most goods in shops. It has transformed societies with the Internet, the digitization of information, mobile phone networks and GPS technologies. Here, Peter J. Bentley explores how this young discipline grew from its theoretical conception by pioneers such as Turing, through its growth spurts in the Internet, its difficult adolescent stage where the promises of AI were never achieved and dot-com bubble burst, to its current stage as a (semi)mature field, now capable of remarkable achievements. Charting the successes and failures of computer science through the years, Bentley discusses what innovations may change our world in the future.

What Is Mathematics

Author: Richard Courant
Publisher: Oxford University Press, USA
ISBN: 9780195105193
Size: 43.14 MB
Format: PDF, ePub, Docs
View: 4644
Download and Read
A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.

The Mathematical Experience Study Edition

Author: Philip Davis
Publisher: Springer Science & Business Media
ISBN: 0817682953
Size: 73.62 MB
Format: PDF, ePub, Mobi
View: 202
Download and Read
Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.

What Is Mathematics Really

Author: Reuben Hersh
Publisher: Oxford University Press, USA
ISBN: 9780195130874
Size: 45.27 MB
Format: PDF, ePub, Docs
View: 4984
Download and Read
Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.