Inside Interesting Integrals

Filename: inside-interesting-integrals.pdf
ISBN: 9781493912773
Release Date: 2014-08-27
Number of pages: 412
Author: Paul J. Nahin
Publisher: Springer

Download and read online Inside Interesting Integrals in PDF and EPUB 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.


Inside Interesting Integrals

Filename: inside-interesting-integrals.pdf
ISBN: 1493912763
Release Date: 2014-08-28
Number of pages: 412
Author: Paul J. Nahin
Publisher: Springer

Download and read online Inside Interesting Integrals in PDF and EPUB 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.


Inside Interesting Integrals

Filename: inside-interesting-integrals.pdf
ISBN: 149391278X
Release Date: 2014-08-28
Number of pages: 412
Author: Paul J. Nahin
Publisher: Springer

Download and read online Inside Interesting Integrals in PDF and EPUB 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.


Inside Interesting Integrals

Filename: inside-interesting-integrals.pdf
ISBN: 9781493912773
Release Date: 2014-08-27
Number of pages: 412
Author: Paul J. Nahin
Publisher: Springer

Download and read online Inside Interesting Integrals in PDF and EPUB 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.


Irresistible Integrals

Filename: irresistible-integrals.pdf
ISBN: 0521796369
Release Date: 2004-06-21
Number of pages: 306
Author: George Boros
Publisher: Cambridge University Press

Download and read online Irresistible Integrals in PDF and EPUB The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in nineteenth century analysis and it has now been revived with the appearance of symbolic languages. The authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting-rather than the shortest-path to the results. They illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This is a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.


The William Lowell Putnam Mathematical Competition 1985 2000

Filename: the-william-lowell-putnam-mathematical-competition-1985-2000.pdf
ISBN: 088385807X
Release Date: 2002
Number of pages: 337
Author: Kiran S. Kedlaya
Publisher: MAA

Download and read online The William Lowell Putnam Mathematical Competition 1985 2000 in PDF and EPUB The William Lowell Putnam Mathematical Competition is the premier undergraduate mathematical competition in North America. This volume contains problems from the years 1985-2000, with solutions and extensive commentary. It is unlike the first two Putnam volumes and unlike virtually every other problem-based book, in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum, and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The heart of the book is in the solutions, which have been compiled through extensive research. In editing the solutions, the authors have kept a student audience in mind, explaining techniques that have relevance to more than the problem at hand, suggesting references for further reading, and mentioning related problems, some of which are unsolved.


Applied Analysis by the Hilbert Space Method

Filename: applied-analysis-by-the-hilbert-space-method.pdf
ISBN: 9780486139296
Release Date: 2012-05-04
Number of pages: 576
Author: Samuel S. Holland
Publisher: Courier Corporation

Download and read online Applied Analysis by the Hilbert Space Method in PDF and EPUB Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.


Mathematics for Physics and Physicists

Filename: mathematics-for-physics-and-physicists.pdf
ISBN: 0691131023
Release Date: 2007
Number of pages: 642
Author: Walter Appel
Publisher:

Download and read online Mathematics for Physics and Physicists in PDF and EPUB Aims to show graduate students and researchers the vital benefits of integrating mathematics into their study and experience of the physical world. This book details numerous topics from the frontiers of modern physics and mathematics such as convergence, Green functions, complex analysis, Fourier series and Fourier transform, tensors, and others.


An Atlas of Functions

Filename: an-atlas-of-functions.pdf
ISBN: 0387488073
Release Date: 2010-07-15
Number of pages: 748
Author: Keith B. Oldham
Publisher: Springer Science & Business Media

Download and read online An Atlas of Functions in PDF and EPUB This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.


Theorems and Counterexamples in Mathematics

Filename: theorems-and-counterexamples-in-mathematics.pdf
ISBN: 9781461209935
Release Date: 2012-12-06
Number of pages: 305
Author: Bernard R. Gelbaum
Publisher: Springer Science & Business Media

Download and read online Theorems and Counterexamples in Mathematics in PDF and EPUB The gratifying response to Counterexamples in analysis (CEA) was followed, when the book went out of print, by expressions of dismay from those who were unable to acquire it. The connection of the present volume with CEA is clear, although the sights here are set higher. In the quarter-century since the appearance of CEA, mathematical education has taken some large steps reflected in both the undergraduate and graduate curricula. What was once taken as very new, remote, or arcane is now a well-established part of mathematical study and discourse. Consequently the approach here is designed to match the observed progress. The contents are intended to provide graduate and ad vanced undergraduate students as well as the general mathematical public with a modern treatment of some theorems and examples that constitute a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology. The items included are presented in the spirit of a conversation among mathematicians who know the language but are interested in some of the ramifications of the subjects with which they routinely deal. Although such an approach might be construed as demanding, there is an extensive GLOSSARY jlNDEX where all but the most familiar notions are clearly defined and explained. The object ofthe body of the text is more to enhance what the reader already knows than to review definitions and notations that have become part of every mathematician's working context.


The Princeton Companion to Applied Mathematics

Filename: the-princeton-companion-to-applied-mathematics.pdf
ISBN: 9781400874477
Release Date: 2015-09-15
Number of pages: 1016
Author: Nicholas J. Higham
Publisher: Princeton University Press

Download and read online The Princeton Companion to Applied Mathematics in PDF and EPUB This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index


Foundations of Potential Theory

Filename: foundations-of-potential-theory.pdf
ISBN: 0486601447
Release Date: 1929
Number of pages: 384
Author: Oliver Dimon Kellogg
Publisher: Courier Corporation

Download and read online Foundations of Potential Theory in PDF and EPUB Introduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.


Number Crunching

Filename: number-crunching.pdf
ISBN: 9781400839582
Release Date: 2011-08-08
Number of pages: 408
Author: Paul J. Nahin
Publisher: Princeton University Press

Download and read online Number Crunching in PDF and EPUB How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished. Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions. Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles.


A Student s Guide to Waves

Filename: a-student-s-guide-to-waves.pdf
ISBN: 9781107054868
Release Date: 2015-04-09
Number of pages: 230
Author: Daniel Fleisch
Publisher: Cambridge University Press

Download and read online A Student s Guide to Waves in PDF and EPUB Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.


Dr Euler s Fabulous Formula

Filename: dr-euler-s-fabulous-formula.pdf
ISBN: 1400838479
Release Date: 2011-04-25
Number of pages: 416
Author: Paul J. Nahin
Publisher: Princeton University Press

Download and read online Dr Euler s Fabulous Formula in PDF and EPUB In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.