Inside Interesting Integrals

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.

(Almost) Impossible Integrals, Sums, and Series

Author: Cornel Ioan Vălean
Publisher: Springer
ISBN: 3030024628
Category : Mathematics
Languages : en
Pages : 539

Book Description
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.

Irresistible Integrals

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.

Inside Interesting Integrals

Author: Paul J. Nahin
Publisher: Springer
ISBN: 9781493912780
Category : Science
Languages : en
Pages : 412

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 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.

Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30

Author: Elias M. Stein
Publisher: Princeton University Press
ISBN: 1400883881
Category : Mathematics
Languages : en
Pages : 306

Book Description
Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself. Singular integrals were known to only a few specialists when Stein's book was first published. Over time, however, the book has inspired a whole generation of researchers to apply its methods to a broad range of problems in many disciplines, including engineering, biology, and finance. Stein has received numerous awards for his research, including the Wolf Prize of Israel, the Steele Prize, and the National Medal of Science. He has published eight books with Princeton, including Real Analysis in 2005.

Advanced Mathematical Methods for Scientists and Engineers I

Author: Carl M. Bender
Publisher: Springer Science & Business Media
ISBN: 9780387989310
Category : Mathematics
Languages : en
Pages : 616

Book Description
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

Pocket Book of Integrals and Mathematical Formulas

Author: Ronald J. Tallarida
Publisher: CRC Press
ISBN: 1420063995
Category : Mathematics
Languages : en
Pages : 290

Book Description
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

Techniques and Applications of Path Integration

Author: L. S. Schulman
Publisher: Courier Corporation
ISBN: 0486137023
Category : Science
Languages : en
Pages : 434

Book Description
Suitable for advanced undergraduates and graduate students, this text develops the techniques of path integration and deals with applications, covering a host of illustrative examples. 26 figures. 1981 edition.

Integrals of Bessel Functions

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.

The Handbook of Integration

Author: Daniel Zwillinger
Publisher: CRC Press
ISBN: 1439865841
Category : Mathematics
Languages : en
Pages : 385

Book Description
This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. It is an indispensable time saver for engineers and scientists needing to evaluate integrals in their work. From the table of contents: - Applications of Integration - Concepts and Definitions - Exact Analytical Methods - Appro