Feynman Integral Calculus

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Release : 2006-08-02
Genre : Mathematics
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Book Rating : 102/5 ( reviews)

Feynman Integral Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Feynman Integral Calculus write by Vladimir A. Smirnov. This book was released on 2006-08-02. Feynman Integral Calculus available in PDF, EPUB and Kindle. The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. The book characterizes the most powerful methods and illustrates them with numerous examples starting from very simple ones and progressing to nontrivial examples. The book demonstrates how to choose adequate methods and combine evaluation methods in a non-trivial way. The most powerful methods are characterized and then illustrated through numerous examples. This is an updated textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author.

Math with Bad Drawings

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Release : 2018-09-18
Genre : Mathematics
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Book Rating : 027/5 ( reviews)

Math with Bad Drawings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Math with Bad Drawings write by Ben Orlin. This book was released on 2018-09-18. Math with Bad Drawings available in PDF, EPUB and Kindle. A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

The Feynman Integral and Feynman's Operational Calculus

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Release : 2000-03-16
Genre : Mathematics
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Book Rating : 267/5 ( reviews)

The Feynman Integral and Feynman's Operational Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Feynman Integral and Feynman's Operational Calculus write by Gerald W. Johnson. This book was released on 2000-03-16. The Feynman Integral and Feynman's Operational Calculus available in PDF, EPUB and Kindle. This book provides the most comprehensive mathematical treatment to date of the Feynman path integral and Feynman's operational calculus. It is accessible to mathematicians, mathematical physicists and theoretical physicists. Including new results and much material previously only available in the research literature, this book discusses both the mathematics and physics background that motivate the study of the Feynman path integral and Feynman's operational calculus, and also provides more detailed proofs of the central results.

Evaluating Feynman Integrals

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Release : 2005-02-28
Genre : Science
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Book Rating : 032/5 ( reviews)

Evaluating Feynman Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evaluating Feynman Integrals write by Vladimir A. Smirnov. This book was released on 2005-02-28. Evaluating Feynman Integrals available in PDF, EPUB and Kindle. The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory. Although a great variety of methods for evaluating Feynman integrals has been developed over a span of more than fifty years, this book is a first attempt to summarize them. Evaluating Feynman Integrals characterizes the most powerful methods, in particular those used for recent, quite sophisticated calculations, and then illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples.

Analytic Tools for Feynman Integrals

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Release : 2013-01-16
Genre : Science
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Book Rating : 866/5 ( reviews)

Analytic Tools for Feynman Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Tools for Feynman Integrals write by Vladimir A. Smirnov. This book was released on 2013-01-16. Analytic Tools for Feynman Integrals available in PDF, EPUB and Kindle. The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publication of these two books, powerful new methods have arisen and conventional methods have been improved on in essential ways. A further qualitative change is the fact that most of the methods and the corresponding algorithms have now been implemented in computer codes which are often public. In comparison to the two previous books, three new chapters have been added: One is on sector decomposition, while the second describes a new method by Lee. The third new chapter concerns the asymptotic expansions of Feynman integrals in momenta and masses, which were described in detail in another Springer book, “Applied Asymptotic Expansions in Momenta and Masses,” by the author. This chapter describes, on the basis of papers that appeared after the publication of said book, how to algorithmically discover the regions relevant to a given limit within the strategy of expansion by regions. In addition, the chapters on the method of Mellin-Barnes representation and on the method of integration by parts have been substantially rewritten, with an emphasis on the corresponding algorithms and computer codes.