Mathematics Of The Transcendental

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Mathematics of the Transcendental

Author : Alain Badiou
Publisher : A&C Black
ISBN 13 : 1441130381
Total Pages : 291 pages
Book Rating : 4.4/5 (411 download)

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Book Synopsis Mathematics of the Transcendental by : Alain Badiou

Download or read book Mathematics of the Transcendental written by Alain Badiou and published by A&C Black. This book was released on 2014-01-16 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Previously unpublished in either French or English, Mathematics of the Transcendental provides Badiou's readers with a much-needed complete elaboration of his understanding and use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.

Transcendental Number Theory

Author : Alan Baker
Publisher : Cambridge University Press
ISBN 13 : 100922994X
Total Pages : 185 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Transcendental Number Theory by : Alan Baker

Download or read book Transcendental Number Theory written by Alan Baker and published by Cambridge University Press. This book was released on 2022-06-09 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.

Transcendental Curves in the Leibnizian Calculus

Author : Viktor Blasjo
Publisher : Academic Press
ISBN 13 : 0128132981
Total Pages : 282 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Transcendental Curves in the Leibnizian Calculus by : Viktor Blasjo

Download or read book Transcendental Curves in the Leibnizian Calculus written by Viktor Blasjo and published by Academic Press. This book was released on 2017-04-22 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transcendental Curves in the Leibnizian Calculus analyzes the mathematical and philosophical conflict between Euclidean and Cartesian mathematics. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and compass. As late as 1637, Descartes had placed himself squarely in this tradition when he justified his new technique of identifying curves with equations by means of certain curve-tracing instruments, thereby bringing together the ancient constructive tradition and modern algebraic methods in a satisfying marriage. But rapid advances in the new fields of infinitesimal calculus and mathematical mechanics soon ruined his grand synthesis. Descartes's scheme left out transcendental curves, i.e. curves with no polynomial equation, but in the course of these subsequent developments such curves emerged as indispensable. It was becoming harder and harder to juggle cutting-edge mathematics and ancient conceptions of its foundations at the same time, yet leading mathematicians, such as Leibniz felt compelled to do precisely this. The new mathematics fit more naturally an analytical conception of curves than a construction-based one, yet no one wanted to betray the latter, as this was seen as virtually tantamount to stop doing mathematics altogether. The credibility and authority of mathematics depended on it. Brings to light this underlying and often implicit complex of concerns that permeate early calculus Evaluates the technical conception and mathematical construction of the geometrical method Reveals a previously unrecognized Liebnizian programmatic cohesion in early calculus Provides a beautifully written work of outstanding original scholarship

Transcendental Numbers. (AM-16)

Author : Carl Ludwig Siegel
Publisher : Princeton University Press
ISBN 13 : 1400882354
Total Pages : 102 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Transcendental Numbers. (AM-16) by : Carl Ludwig Siegel

Download or read book Transcendental Numbers. (AM-16) written by Carl Ludwig Siegel and published by Princeton University Press. This book was released on 2016-03-02 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Transcendental Numbers. (AM-16), will be forthcoming.

Solving Transcendental Equations

Author : John P. Boyd
Publisher : SIAM
ISBN 13 : 161197352X
Total Pages : 462 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Solving Transcendental Equations by : John P. Boyd

Download or read book Solving Transcendental Equations written by John P. Boyd and published by SIAM. This book was released on 2014-09-23 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics and Its Applications

Author : Jairo José da Silva
Publisher : Springer
ISBN 13 : 3319630733
Total Pages : 275 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematics and Its Applications by : Jairo José da Silva

Download or read book Mathematics and Its Applications written by Jairo José da Silva and published by Springer. This book was released on 2017-08-22 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is. The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl’s phenomenological philosophy. One line leads to the establishment of a particular version of mathematical structuralism, free of “naturalist” and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspective. This second line points to the “unreasonable” effectiveness of mathematics in physics as a means of representation, a tool, and a source of not always logically justified but useful and effective heuristic strategies.

Symbolic Integration I

Author : Manuel Bronstein
Publisher : Springer Science & Business Media
ISBN 13 : 3662033860
Total Pages : 311 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Symbolic Integration I by : Manuel Bronstein

Download or read book Symbolic Integration I written by Manuel Bronstein and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume in the series "Algorithms and Computation in Mathematics", is destined to become the standard reference work in the field. Manuel Bronstein is the number-one expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.

Transcendental Numbers

Author : M. Ram Murty
Publisher : Springer
ISBN 13 : 1493908324
Total Pages : 217 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Transcendental Numbers by : M. Ram Murty

Download or read book Transcendental Numbers written by M. Ram Murty and published by Springer. This book was released on 2014-06-24 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Husserl and Mathematics

Author : Mirja Hartimo
Publisher : Cambridge University Press
ISBN 13 : 1108997562
Total Pages : 419 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Husserl and Mathematics by : Mirja Hartimo

Download or read book Husserl and Mathematics written by Mirja Hartimo and published by Cambridge University Press. This book was released on 2021-08-05 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Husserl and Mathematics explains the development of Husserl's phenomenological method in the context of his engagement in modern mathematics and its foundations. Drawing on his correspondence and other written sources, Mirja Hartimo details Husserl's knowledge of a wide range of perspectives on the foundations of mathematics, including those of Hilbert, Brouwer and Weyl, as well as his awareness of the new developments in the subject during the 1930s. Hartimo examines how Husserl's philosophical views responded to these changes, and offers a pluralistic and open-ended picture of Husserl's phenomenology of mathematics. Her study shows Husserl's phenomenology to be a method capable of both shedding light on and internally criticizing scientific practices and concepts.

Number Theory IV

Author : A.N. Parshin
Publisher : Springer Science & Business Media
ISBN 13 : 3662036444
Total Pages : 351 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Number Theory IV by : A.N. Parshin

Download or read book Number Theory IV written by A.N. Parshin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Phenomenology, Logic, and the Philosophy of Mathematics

Author : Richard L. Tieszen
Publisher : Cambridge University Press
ISBN 13 : 0521837820
Total Pages : 369 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Phenomenology, Logic, and the Philosophy of Mathematics by : Richard L. Tieszen

Download or read book Phenomenology, Logic, and the Philosophy of Mathematics written by Richard L. Tieszen and published by Cambridge University Press. This book was released on 2005-06-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.

Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106

Author : Phillip A. Griffiths
Publisher : Princeton University Press
ISBN 13 : 140088165X
Total Pages : 328 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 by : Phillip A. Griffiths

Download or read book Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 written by Phillip A. Griffiths and published by Princeton University Press. This book was released on 2016-03-02 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106, will be forthcoming.

Transcendental Physics

Author : Edward R. Close
Publisher : iUniverse
ISBN 13 : 059509175X
Total Pages : 386 pages
Book Rating : 4.5/5 (95 download)

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Book Synopsis Transcendental Physics by : Edward R. Close

Download or read book Transcendental Physics written by Edward R. Close and published by iUniverse. This book was released on 2000-05 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this ground-breaking work, Dr. Close goes beyond the question “How can we explain consciousness in terms of matter?” and asks instead, “Can matter be explained in terms of consciousness?” The results are astounding. Using unimpeachable scientific evidence and logic, the author provides proof of the absolute necessity of the existence of consciousness prior to the emergence of the first particle of the physical universe. Eliminating the conflicts between relativity and quantum mechanics, Transcendental Physics places them in perspective as progressive paradigm shifts leading out of the dead end of dialectic materialism and provides the necessary science for a sweeping shift to a consciousness-based reality paradigm. Transcendental Physics provides scientific proof of the existence of a non-quantum reality, a reality that both exceeds and incorporates physical materiality as a subset of Consciousness. Going beyond mere theory, Dr. Close completes this Herculean vision by providing, in an appendix, new mathematics derived from G. Spencer Brown’s Laws of Form that allows consciousness to be incorporated into the equations of physics. In this book, a truly Transcendental Science—capable of unifying the physical, biological, and psychological sciences with the search for spiritual truth in one consistent paradigm—is born.

Wonders of Numbers

Author : Clifford A. Pickover
Publisher : Oxford University Press
ISBN 13 : 9780195348002
Total Pages : 420 pages
Book Rating : 4.3/5 (48 download)

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Book Synopsis Wonders of Numbers by : Clifford A. Pickover

Download or read book Wonders of Numbers written by Clifford A. Pickover and published by Oxford University Press. This book was released on 2003-01-16 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.

Paratattvagaonitadarsanam

Author : Gurajada Suryanarayana Murty
Publisher : Motilal Banarsidass Publishe
ISBN 13 : 9788120818217
Total Pages : 406 pages
Book Rating : 4.8/5 (182 download)

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Book Synopsis Paratattvagaonitadarsanam by : Gurajada Suryanarayana Murty

Download or read book Paratattvagaonitadarsanam written by Gurajada Suryanarayana Murty and published by Motilal Banarsidass Publishe. This book was released on 2002 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paratattvaganitadarsanam, or Principles of Transcendental Philosophy of Mathematical Truth is a bridge connecting two fields, the field of mathematics and the field of metaphysics. It establishes general paradigm that the mathematical truth can represent metaphysical truth. It shows, in particular, that Advaita Vedanta articulates mathematical truths whose validity is absolute. This conclusion is arrived at on the basis of the fact that mathematics has the capacity to articulate transcendental truths, which are beyond our normal capabilities. Paratattvaganitadarsanam provides the basic framework in which the statement, 'a part is equal to the whole' is a true statement. The material is presented in the form of a dialogue between two main characters, a Vedantin and a Mathematician, 'both standing on a common platform (which is impartial and earnest inquiry into the Absolute and attainment of the highest)'.

Making Transcendence Transparent

Author : Edward B. Burger
Publisher : Springer Science & Business Media
ISBN 13 : 1475741146
Total Pages : 266 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Making Transcendence Transparent by : Edward B. Burger

Download or read book Making Transcendence Transparent written by Edward B. Burger and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.