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Inside Interesting Integrals

Inside Interesting Integrals PDF Author: Paul J. Nahin
Publisher: Springer Nature
ISBN: 3030437884
Category : Science
Languages : en
Pages : 542

Book Description
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.

Inside Interesting Integrals

Inside Interesting Integrals PDF Author: Paul J. Nahin
Publisher: Springer Nature
ISBN: 3030437884
Category : Science
Languages : en
Pages : 542

Book Description
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.

The Gamma and Beta Functions

The Gamma and Beta Functions PDF Author: William Edwards Deming
Publisher:
ISBN:
Category : Beta functions
Languages : en
Pages : 42

Book Description


Irresistible Integrals

Irresistible Integrals PDF Author: George Boros
Publisher: Cambridge University Press
ISBN: 9780521796361
Category : Mathematics
Languages : en
Pages : 326

Book Description
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.

Sources in the Development of Mathematics

Sources in the Development of Mathematics PDF Author: Ranjan Roy
Publisher: Cambridge University Press
ISBN: 1139497758
Category : Mathematics
Languages : en
Pages : 1139

Book Description
The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.

Publications of the Clark University Library

Publications of the Clark University Library PDF Author:
Publisher:
ISBN:
Category : Bibliography
Languages : en
Pages : 766

Book Description


Complex Variables with Applications

Complex Variables with Applications PDF Author: Saminathan Ponnusamy
Publisher: Springer Science & Business Media
ISBN: 0817645136
Category : Mathematics
Languages : en
Pages : 521

Book Description
Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students

A Treatise on Infinitesimal Calculus: Integral calculus, calculus of variations, and differential equations. 1865

A Treatise on Infinitesimal Calculus: Integral calculus, calculus of variations, and differential equations. 1865 PDF Author: Bartholomew Price
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 756

Book Description


Integrals of Bessel Functions

Integrals of Bessel Functions PDF Author: Yudell L. Luke
Publisher: Courier Corporation
ISBN: 0486799395
Category : Mathematics
Languages : en
Pages : 436

Book Description
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.

Series and Products in the Development of Mathematics

Series and Products in the Development of Mathematics PDF Author: Ranjan Roy
Publisher: Cambridge University Press
ISBN: 1108709451
Category : Mathematics
Languages : en
Pages : 779

Book Description
First of two volumes tracing the development of series and products. Second edition adds extensive material from original works.

Handbook of Complex Variables

Handbook of Complex Variables PDF Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 1461215889
Category : Mathematics
Languages : en
Pages : 301

Book Description
This book is written to be a convenient reference for the working scientist, student, or engineer who needs to know and use basic concepts in complex analysis. It is not a book of mathematical theory. It is instead a book of mathematical practice. All the basic ideas of complex analysis, as well as many typical applica tions, are treated. Since we are not developing theory and proofs, we have not been obliged to conform to a strict logical ordering of topics. Instead, topics have been organized for ease of reference, so that cognate topics appear in one place. Required background for reading the text is minimal: a good ground ing in (real variable) calculus will suffice. However, the reader who gets maximum utility from the book will be that reader who has had a course in complex analysis at some time in his life. This book is a handy com pendium of all basic facts about complex variable theory. But it is not a textbook, and a person would be hard put to endeavor to learn the subject by reading this book.