(Almost) Impossible Integrals, Sums, and Series

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Author :
Publisher : Springer
ISBN 13 : 3030024628
Total Pages : 539 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis (Almost) Impossible Integrals, Sums, and Series by : Cornel Ioan Vălean

Download or read book (Almost) Impossible Integrals, Sums, and Series written by Cornel Ioan Vălean and published by Springer. This book was released on 2019-05-10 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.

Inside Interesting Integrals

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Author :
Publisher : Springer Nature
ISBN 13 : 3030437884
Total Pages : 542 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Inside Interesting Integrals by : Paul J. Nahin

Download or read book Inside Interesting Integrals written by Paul J. Nahin and published by Springer Nature. This book was released on 2020-06-27 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.

Asymptotic Expansions of Integrals

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Publisher : Courier Corporation
ISBN 13 : 0486650820
Total Pages : 453 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Asymptotic Expansions of Integrals by : Norman Bleistein

Download or read book Asymptotic Expansions of Integrals written by Norman Bleistein and published by Courier Corporation. This book was released on 1986-01-01 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.

Table of Integrals, Series, and Products

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Publisher : Academic Press
ISBN 13 : 1483265641
Total Pages : 1206 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Table of Integrals, Series, and Products by : I. S. Gradshteyn

Download or read book Table of Integrals, Series, and Products written by I. S. Gradshteyn and published by Academic Press. This book was released on 2014-05-10 with total page 1206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.

Approximate Calculation of Integrals

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Publisher : Courier Corporation
ISBN 13 : 048615467X
Total Pages : 372 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Approximate Calculation of Integrals by : V. I. Krylov

Download or read book Approximate Calculation of Integrals written by V. I. Krylov and published by Courier Corporation. This book was released on 2012-01-27 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.

Pocket Book of Integrals and Mathematical Formulas

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Publisher : CRC Press
ISBN 13 : 1420063995
Total Pages : 290 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Pocket Book of Integrals and Mathematical Formulas by : Ronald J. Tallarida

Download or read book Pocket Book of Integrals and Mathematical Formulas written by Ronald J. Tallarida and published by CRC Press. This book was released on 1999-07-29 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pocket Book of Integrals and Mathematical Formulas, a revision of a very successful pocket book, provides a handy desk-top reference for engineers and scientists seeking essential formulas, concepts, and definitions. Topics range from pre-calculus to vector analysis and from Fourier transforms to statistics. This third edition contains: A

A New Treatise on the Elements of the Differential and Integral Calculus

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Author :
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis A New Treatise on the Elements of the Differential and Integral Calculus by : Horatio Nelson Robinson

Download or read book A New Treatise on the Elements of the Differential and Integral Calculus written by Horatio Nelson Robinson and published by . This book was released on 1871 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tables of Integral Transforms

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Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Tables of Integral Transforms by : Bateman Manuscript Project

Download or read book Tables of Integral Transforms written by Bateman Manuscript Project and published by . This book was released on 1954 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Garden of Integrals

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Author :
Publisher : MAA
ISBN 13 : 9780883853375
Total Pages : 312 pages
Book Rating : 4.8/5 (533 download)

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Book Synopsis A Garden of Integrals by : Frank Burk

Download or read book A Garden of Integrals written by Frank Burk and published by MAA. This book was released on 2007-08-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there is a variety of integrals, developed over the years for a variety of purposes, and this book describes them. No other single source treats all of the integrals of Cauchy, Riemann, Riemann-Stieltjes, Lebesgue, Lebesgue-Steiltjes, Henstock-Kurzweil, Weiner, and Feynman. The basic properties of each are proved, their similarities and differences are pointed out, and the reasons for their existence and their uses are given, with plentiful historical information. The audience for the book is advanced undergraduate mathematics students, graduate students, and faculty members, of which even the most experienced are unlikely to be aware of all of the integrals in the Garden of Integrals. Professor Burk's clear and well-motivated exposition makes this book a joy to read. There is no other book like it.

Irresistible Integrals

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Publisher : Cambridge University Press
ISBN 13 : 9780521796361
Total Pages : 326 pages
Book Rating : 4.7/5 (963 download)

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Book Synopsis Irresistible Integrals by : George Boros

Download or read book Irresistible Integrals written by George Boros and published by Cambridge University Press. This book was released on 2004-06-21 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.

Integrals of Bessel Functions

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Publisher : Courier Corporation
ISBN 13 : 0486799395
Total Pages : 432 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Integrals of Bessel Functions by : Yudell L. Luke

Download or read book Integrals of Bessel Functions written by Yudell L. Luke and published by Courier Corporation. This book was released on 2014-10-20 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A massive compendium of useful information, this volume represents a valuable tool for applied mathematicians in many areas of academia and industry. A dozen useful tables supplement the text. 1962 edition.

The Doctrine of Germs, Or, The Integration of Certain Partial Differential Equations which Occur in Mathematical Physics

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Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis The Doctrine of Germs, Or, The Integration of Certain Partial Differential Equations which Occur in Mathematical Physics by : Samuel Earnshaw

Download or read book The Doctrine of Germs, Or, The Integration of Certain Partial Differential Equations which Occur in Mathematical Physics written by Samuel Earnshaw and published by . This book was released on 1881 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Conflict

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Publisher : State University of New York Press
ISBN 13 : 1438460678
Total Pages : 332 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis Integral Conflict by : Richard J. McGuigan

Download or read book Integral Conflict written by Richard J. McGuigan and published by State University of New York Press. This book was released on 2016-04-21 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores conflict through the discerning lens of Integral Theory, applying Ken Wilber's AQAL model to a real-life case study, the River Conflict. Coauthor Richard J. McGuigan was a mediator in this ongoing dispute over fishing rights on the Fraser River in British Columbia, a situation where commercial, recreational, and First Nations fishing interests clashed. Voices of the various stakeholders are featured prominently, giving a vivid sense of a seemingly intractable situation. McGuigan and Nancy Popp set the stage for their Integral analysis of the River Conflict, then move expertly through four chapters aimed at understanding the conflict from the four dimensions of human experience: individual, collective, interior, and exterior. The result is a powerful picture of just how "integral" conflict is. This quadrant-by-quadrant analysis is well-punctuated by sidebar observations, insights, and tips for conflict practitioners or students, giving readers new to Integral Theory additional support in understanding and applying the AQAL model to their work.

Integral City

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Publisher : New Society Publishers
ISBN 13 : 1550923943
Total Pages : 321 pages
Book Rating : 4.5/5 (59 download)

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Book Synopsis Integral City by : Marilyn Hamilton

Download or read book Integral City written by Marilyn Hamilton and published by New Society Publishers. This book was released on 2008-11-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cities function unintelligently when their parts are disconnected. The integral city meshes or multiplies city intelligences by integrating capacities, functions and locations into a whole system, like a human hive. Everything counts. An integral city exists as a whole living system within the context of a specific natural environment, climate and ecology. The city, like a human hive, dances with a complex concentration of energies. As a natural system with intellectual, physical, cultural and social intelligences, it adapts to all the same issues, factors and challenges that affect the evolution of life anywhere: how to integrate information, matter and energy. Integral City applies an integral paradigm for appreciating the city. Numerous graphs and specific examples describe integral processes and tools for change. This is a global, whole, multi-perspective way of looking at the world. Chapters explore: Four-quadrant map of reality Cities as concentrators of complex wealth Mapping intelligence capacities Mapping infrastructure for resource allocation Designing appropriate governance systems Relating the exterior environment to interior city life "Meshworking" Integral vital signs monitors. Integral City will appeal to anyone interested in creating conditions in which our cities can evolve intelligently beyond the challenges of the 21st century.

A Treatise on the Integral Calculus

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Publisher :
ISBN 13 :
Total Pages : 1050 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Treatise on the Integral Calculus by : Joseph Edwards

Download or read book A Treatise on the Integral Calculus written by Joseph Edwards and published by . This book was released on 1922 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Garden of Integrals

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1614442096
Total Pages : 281 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis A Garden of Integrals by : Frank E. Burk

Download or read book A Garden of Integrals written by Frank E. Burk and published by American Mathematical Soc.. This book was released on 2007-12-31 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there is a variety of integrals, developed over the years for a variety of purposes, and this book describes them. No other single source treats all of the integrals of Cauchy, Riemann, RiemannStieltjes, Lebesgue, LebesgueSteiltjes, HenstockKurzweil, Weiner, and Feynman. The basic properties of each are proved, their similarities and differences are pointed out, and the reason for their existence and their uses are given. There is plentiful historical information. The audience for the book is advanced undergraduate mathematics majors, graduate students, and faculty members. Even experienced faculty members are unlikely to be aware of all of the integrals in the Garden of Integrals and the book provides an opportunity to see them and appreciate their richness. Professor Burk's clear and wellmotivated exposition makes this book a joy to read. The book can serve as a reference, as a supplement to courses that include the theory of integration, and a source of exercises in analysis. There is no other book like it.

Integrals Related to the Error Function

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Publisher : CRC Press
ISBN 13 : 1000033074
Total Pages : 248 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Integrals Related to the Error Function by : Nikolai E. Korotkov

Download or read book Integrals Related to the Error Function written by Nikolai E. Korotkov and published by CRC Press. This book was released on 2020-03-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book in English language to present a comprehensive collection of integrals related to the error function Useful for researchers whose work involves the error function (e.g., via probability integrals in communication theory). Additionally, it can also be used by broader audience.