Almost Impossible Integrals Sums And Series
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Almost Impossible Integrals Sums and Series
Author | : Cornel Ioan Vălean |
Publsiher | : Springer |
Total Pages | : 539 |
Release | : 2019-05-10 |
Genre | : Mathematics |
ISBN | : 9783030024628 |
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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.
Almost Impossible Integrals Sums and Series
Author | : Cornel Ioan Vălean |
Publsiher | : Springer |
Total Pages | : 0 |
Release | : 2019-05-24 |
Genre | : Mathematics |
ISBN | : 303002461X |
Download Almost Impossible Integrals Sums and Series Book in PDF, Epub and Kindle
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.
More Almost Impossible Integrals Sums and Series
Author | : Cornel Ioan Vălean |
Publsiher | : Springer Nature |
Total Pages | : 847 |
Release | : 2023-05-24 |
Genre | : Mathematics |
ISBN | : 9783031212628 |
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This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks. As in the author’s previous book, these fascinating mathematical problems are shown in new and engaging ways, 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. Classical problems are shown in a fresh light, with new, surprising or unconventional ways of obtaining the desired results devised by the author. This book is accessible to readers with a good knowledge of calculus, from undergraduate students to researchers. It will appeal to all mathematical puzzlers who love a good integral or series and aren’t afraid of a challenge.
Irresistible Integrals
Author | : George Boros,Victor Moll |
Publsiher | : Cambridge University Press |
Total Pages | : 326 |
Release | : 2004-06-21 |
Genre | : Mathematics |
ISBN | : 0521796369 |
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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.
Inside Interesting Integrals
Author | : Paul J. Nahin |
Publsiher | : Springer Nature |
Total Pages | : 542 |
Release | : 2020-06-27 |
Genre | : Science |
ISBN | : 9783030437886 |
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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.
Special Techniques For Solving Integrals Examples And Problems
Author | : Khristo N Boyadzhiev |
Publsiher | : World Scientific |
Total Pages | : 401 |
Release | : 2021-12-10 |
Genre | : Mathematics |
ISBN | : 9789811235771 |
Download Special Techniques For Solving Integrals Examples And Problems Book in PDF, Epub and Kindle
This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and graduate students whose studies include mathematical analysis or mathematical physics will strongly benefit from this material. Mathematicians involved in research and teaching in areas related to calculus, advanced calculus and real analysis will find it invaluable.The volume contains numerous solved examples and problems for the reader. These examples can be used in classwork or for home assignments, as well as a supplement to student projects and student research.
Integrals of Bessel Functions
Author | : Yudell L. Luke |
Publsiher | : Courier Corporation |
Total Pages | : 432 |
Release | : 2014-10-20 |
Genre | : Mathematics |
ISBN | : 9780486799391 |
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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.
Probability
Author | : Dorian Feldman,Martin Fox |
Publsiher | : CRC Press |
Total Pages | : 428 |
Release | : 1991-09-24 |
Genre | : Mathematics |
ISBN | : 0824784529 |
Download Probability Book in PDF, Epub and Kindle