Almost Impossible Integrals Sums And Series PDF Download
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Author | : Cornel Ioan Vălean |
Publisher | : Springer |
Total Pages | : 539 |
Release | : 2019-05-10 |
Genre | : Mathematics |
ISBN | : 3030024628 |
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.
Author | : Cornel Ioan Vălean |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2019-05-24 |
Genre | : Mathematics |
ISBN | : 9783030024611 |
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.
Author | : Cornel Ioan Vălean |
Publisher | : Springer Nature |
Total Pages | : 847 |
Release | : 2023-05-24 |
Genre | : Mathematics |
ISBN | : 3031212622 |
Download More (Almost) Impossible Integrals, Sums, and Series Book in PDF, ePub and Kindle
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.
Author | : Paul J. Nahin |
Publisher | : Springer Nature |
Total Pages | : 542 |
Release | : 2020-06-27 |
Genre | : Science |
ISBN | : 3030437884 |
Download Inside Interesting Integrals Book in PDF, ePub and Kindle
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.
Author | : George Boros |
Publisher | : Cambridge University Press |
Total Pages | : 326 |
Release | : 2004-06-21 |
Genre | : Mathematics |
ISBN | : 9780521796361 |
Download Irresistible Integrals Book in PDF, ePub and Kindle
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.
Author | : Enrique A. González-Velasco |
Publisher | : Springer Science & Business Media |
Total Pages | : 479 |
Release | : 2011-08-08 |
Genre | : Mathematics |
ISBN | : 0387921540 |
Download Journey through Mathematics Book in PDF, ePub and Kindle
This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math.
Author | : Gert Schubring |
Publisher | : Springer Science & Business Media |
Total Pages | : 689 |
Release | : 2006-06-10 |
Genre | : Mathematics |
ISBN | : 0387282734 |
Download Conflicts Between Generalization, Rigor, and Intuition Book in PDF, ePub and Kindle
This volume is, as may be readily apparent, the fruit of many years’ labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Graßmann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the École polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811—precipitating the change back to the synthetic method and replacing the limit method by the method of the quantités infiniment petites—significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.
Author | : Yudell L. Luke |
Publisher | : Courier Corporation |
Total Pages | : 436 |
Release | : 2014-10-20 |
Genre | : Mathematics |
ISBN | : 0486799395 |
Download Integrals of Bessel Functions Book in PDF, ePub and Kindle
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.
Author | : George W. Bluman |
Publisher | : Springer Science & Business Media |
Total Pages | : 396 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1461211328 |
Download Problem Book for First Year Calculus Book in PDF, ePub and Kindle
Author | : Ovidiu Furdui |
Publisher | : Springer Science & Business Media |
Total Pages | : 289 |
Release | : 2013-05-30 |
Genre | : Mathematics |
ISBN | : 1461467624 |
Download Limits, Series, and Fractional Part Integrals Book in PDF, ePub and Kindle
This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical analysis: limits, series, and fractional part integrals. The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of hints to select problems. The first chapter collects problems on limits of special sequences and Riemann integrals; the second chapter focuses on the calculation of fractional part integrals with a special section called ‘Quickies’ which contains problems that have had unexpected succinct solutions. The final chapter offers the reader an assortment of problems with a flavor towards the computational aspects of infinite series and special products, many of which are new to the literature. Each chapter contains a section of difficult problems which are motivated by other problems in the book. These ‘Open Problems’ may be considered research projects for students who are studying advanced calculus, and which are intended to stimulate creativity and the discovery of new and original methods for proving known results and establishing new ones. This stimulating collection of problems is intended for undergraduate students with a strong background in analysis; graduate students in mathematics, physics, and engineering; researchers; and anyone who works on topics at the crossroad between pure and applied mathematics. Moreover, the level of problems is appropriate for students involved in the Putnam competition and other high level mathematical contests.