Transcendental Mathematics PDF Download
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Author: Mike Hockney
Publisher: Magus Books
ISBN:
Category : Mathematics
Languages : en
Pages : 621
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Book Description
Science is about the mundane, visible world. Religion is about the transcendent, invisible world. Atheists believe that science is the only way to explain the world. Agnostics think it's the best way. But is science actually a system of explanation at all, or merely a good problem-solving tool and method that achieves practical success in the observable world? Isn't science, like God, in need of an explanation? What is its ontological and epistemological basis? What limitations does it have? How does it define "Truth"? Immanuel Kant, via his philosophy of transcendental idealism, attempted to explain science within a philosophical and even religious context. This attempt ultimately failed, but the project itself need not be abandoned. This book shows, via a detailed investigation of Kant's philosophy, that the only way to make sense of science is via transcendental mathematics.
Author: Mike Hockney
Publisher: Magus Books
ISBN:
Category : Mathematics
Languages : en
Pages : 621
Get Book Here
Book Description
Science is about the mundane, visible world. Religion is about the transcendent, invisible world. Atheists believe that science is the only way to explain the world. Agnostics think it's the best way. But is science actually a system of explanation at all, or merely a good problem-solving tool and method that achieves practical success in the observable world? Isn't science, like God, in need of an explanation? What is its ontological and epistemological basis? What limitations does it have? How does it define "Truth"? Immanuel Kant, via his philosophy of transcendental idealism, attempted to explain science within a philosophical and even religious context. This attempt ultimately failed, but the project itself need not be abandoned. This book shows, via a detailed investigation of Kant's philosophy, that the only way to make sense of science is via transcendental mathematics.
Author: Alain Badiou
Publisher: A&C Black
ISBN: 1441130381
Category : Philosophy
Languages : en
Pages : 291
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Book Description
In Mathematics of the Transcendental, Alain Badiou painstakingly works through the pertinent aspects of category theory, demonstrating their internal logic and veracity, their derivation and distinction from set theory, and the 'thinking of being'. In doing so he sets out the basic onto-logical requirements of his greater and transcendental logics as articulated in his magnum opus, Logics of Worlds. Previously unpublished in either French or English, Mathematics of the Transcendental provides Badiou's readers with a much-needed complete elaboration of his understanding and use of category theory. The book is vital to understanding the mathematical and logical basis of his theory of appearing as elaborated in Logics of Worlds and other works and is essential reading for his many followers.
Author: Alan Baker
Publisher: Cambridge University Press
ISBN: 100922994X
Category : Computers
Languages : en
Pages : 185
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Book Description
Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Author: M. Ram Murty
Publisher: Springer
ISBN: 1493908324
Category : Mathematics
Languages : en
Pages : 219
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Book Description
This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory.
Author: Carl Ludwig Siegel
Publisher: Princeton University Press
ISBN: 1400882354
Category : Mathematics
Languages : en
Pages : 102
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Book Description
The description for this book, Transcendental Numbers. (AM-16), will be forthcoming.
Author: John P. Boyd
Publisher: SIAM
ISBN: 161197352X
Category : Mathematics
Languages : en
Pages : 446
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Book Description
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
Author: A.N. Parshin
Publisher: Springer Science & Business Media
ISBN: 3662036444
Category : Mathematics
Languages : en
Pages : 351
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Book Description
This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.
Author: Saradha Natarajan
Publisher: Springer Nature
ISBN: 9811541558
Category : Mathematics
Languages : en
Pages : 184
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Book Description
This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite–Lindemann–Weierstrass theorem, Gelfond–Schneider theorem, Schmidt’s subspace theorem and more. It also includes two theorems of Ramachandra which are not widely known and other interesting results derived on the values of Weierstrass elliptic function. Given the constantly growing number of applications of linear forms in logarithms, it is becoming increasingly important for any student wanting to work in this area to know the proofs of Baker’s original results. This book presents Baker’s original results in a format suitable for graduate students, with a focus on presenting the content in an accessible and simple manner. Each student-friendly chapter concludes with selected problems in the form of “Exercises” and interesting information presented as “Notes,” intended to spark readers’ curiosity.
Author: Alan Baker
Publisher: Cambridge University Press
ISBN: 9780521397919
Category : Mathematics
Languages : en
Pages : 180
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Book Description
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalisation of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's |E|-functions and of Sprindzuk's solution to the Mahler conjecture. The volume was revised in 1979: however Professor Baker has taken this further opportunity to update the book including new advances in the theory and many new references.
Author: David Angell
Publisher: CRC Press
ISBN: 100052373X
Category : Mathematics
Languages : en
Pages : 243
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Book Description
Features Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation. Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates. Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background.
