Inside Interesting Integrals

A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Nearly 200 Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus 60 Challenge Problems with Complete, Detailed Solutions)

Author: Paul J. Nahin

Publisher: Springer

ISBN: 1493912771

Category: Science

Page: 412

View: 4048

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.

Invading the sacred

an analysis of Hinduism studies in America

Author: Krishnan Ramaswamy,Aditi Banerjee

Publisher: Rupa Co.


Category: Hinduism

Page: 545

View: 7544

India, once a major civilizational and economic power that suffered centuries of decline, is now newly resurgent in business, geopolitics and culture. However, a powerful counterforce within the American academy is systematically undermining core icons and ideals of Indic culture and thought. For instance, scholars of this counterforce have disparaged the Bhagavad Gita as a dishonest book ; declared Ganesha s trunk a limpphallus ; classified Devi as the mother with apenis and Shiva as a notorious womanizer who incites violence in India.

Even Cowgirls Get the Blues

A Novel

Author: Tom Robbins

Publisher: Bantam

ISBN: 9780553897890

Category: Fiction

Page: 384

View: 7327

The whooping crane rustlers are girls. Young girls. Cowgirls, as a matter of fact, all “bursting with dimples and hormones”—and the FBI has never seen anything quite like them. Yet their rebellion at the Rubber Rose Ranch is almost overshadowed by the arrival of the legendary Sissy Hankshaw, a white-trash goddess literally born to hitchhike, and the freest female of them all. Freedom, its prizes and its prices, is a major theme of Tom Robbins’s classic tale of eccentric adventure. As his robust characters attempt to turn the tables on fate, the reader is drawn along on a tragicomic joyride across the badlands of sexuality, wild rivers of language, and the frontiers of the mind. From the Trade Paperback edition.

Fundamentals Of Good Writing - A Handbook Of Modern Rhetoric

Author: Cleanth Brooks

Publisher: Read Books Ltd

ISBN: 1447495004

Category: Study Aids

Page: 546

View: 6246

"There is no easy way to learn to write', is the opening line of this clear and effective guide for writers wishing to learn the basics of writing whether it is fiction, poetry, news articles or essays. This book including answers to some general problems faced by prospective writers, a section on the kinds of discourse you should wish to achieve and on the exposition. What is common to all kinds of good writing is more important than what distinguishes one kind from another. This is a fundamental point, and this book is an attempt to deal with the fundamentals of writing.

A Student's Guide to Waves

Author: Daniel Fleisch,Laura Kinnaman

Publisher: Cambridge University Press

ISBN: 1107054869

Category: Science

Page: 230

View: 2367

Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.

The Calculus of Friendship

What a Teacher and a Student Learned about Life while Corresponding about Math

Author: Steven Strogatz

Publisher: Princeton University Press

ISBN: 9781400830886

Category: Mathematics

Page: 184

View: 9265

The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math whiz to Ivy League professor, suffers the sudden death of a parent, and blunders into a marriage destined to fail. Yet through it all they take refuge in the haven of calculus--until a day comes when calculus is no longer enough. Like calculus itself, The Calculus of Friendship is an exploration of change. It's about the transformation that takes place in a student's heart, as he and his teacher reverse roles, as they age, as they are buffeted by life itself. Written by a renowned teacher and communicator of mathematics, The Calculus of Friendship is warm, intimate, and deeply moving. The most inspiring ideas of calculus, differential equations, and chaos theory are explained through metaphors, images, and anecdotes in a way that all readers will find beautiful, and even poignant. Math enthusiasts, from high school students to professionals, will delight in the offbeat problems and lucid explanations in the letters. For anyone whose life has been changed by a mentor, The Calculus of Friendship will be an unforgettable journey.

Huygens and Barrow, Newton and Hooke

Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals

Author: Vladimir I. Arnold

Publisher: Birkhäuser

ISBN: 3034891296

Category: Mathematics

Page: 118

View: 6619

Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.

Irresistible Integrals

Symbolics, Analysis and Experiments in the Evaluation of Integrals

Author: George Boros,Victor Moll

Publisher: Cambridge University Press

ISBN: 9780521796361

Category: Mathematics

Page: 306

View: 9744

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.

Lectures on Complex Integration

Author: Alexander O. Gogolin

Publisher: Springer Science & Business Media

ISBN: 3319002120

Category: Science

Page: 285

View: 7823

The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.

From Aristotle to Schrödinger

The Curiosity of Physics

Author: Antonis Modinos

Publisher: Springer Science & Business Media

ISBN: 3319007505

Category: Science

Page: 517

View: 3698

From Aristotle to Schrödinger: The Curiosity of Physics offers a novel introduction to the topics commonly encountered in the first two years of an undergraduate physics course, including classical mechanics, thermodynamics and statistical mechanics, electromagnetism, relativity, quantum mechanics, atomic and molecular physics, and astrophysics. The book presents physics as it evolved historically; it covers in considerable depth the development of the subject from ancient Greece to the present day. Though the emphasis is on the observations, experiments, theories, and applications of physics, there are additionally short sections on the life and times of the main protagonists of physics. This book grew out of the author's long experience in giving undergraduate and graduate courses in classical physics and in quantum mechanics and its elementary applications. Although meant primarily for the student and teacher of physics, it will be of interest to other scientists and to historians of science, and to those who wish to know something about physics, how it started, and how it developed to its present day magnificence and sophistication.

Tensors for Physics

Author: Siegfried Hess

Publisher: Springer

ISBN: 331912787X

Category: Science

Page: 440

View: 2838

This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level. Second rank tensors, in particular their symmetries, are discussed in detail. Differentiation and integration of fields, including generalizations of the Stokes law and the Gauss theorem, are treated. The physics relevant for the applications in mechanics, quantum mechanics, electrodynamics and hydrodynamics is presented. The second part of the book is devoted to tensors of any rank, at graduate level. Special topics are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole potential tensors, spin tensors, integration and spin-trace formulas, coupling of irreducible tensors, rotation of tensors. Constitutive laws for optical, elastic and viscous properties of anisotropic media are dealt with. The anisotropic media include crystals, liquid crystals and isotropic fluids, rendered anisotropic by external orienting fields. The dynamics of tensors deals with phenomena of current research. In the last section, the 3D Maxwell equations are reformulated in their 4D version, in accord with special relativity.

General Relativity Without Calculus

A Concise Introduction to the Geometry of Relativity

Author: Jose Natario

Publisher: Springer Science & Business Media

ISBN: 9783642214523

Category: Science

Page: 128

View: 4842

“General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.

The Logician and the Engineer

How George Boole and Claude Shannon Created the Information Age

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 0691151008

Category: Computers

Page: 228

View: 2868

Examines how mathematician and philosopher George Boole and electrical engineer Claude Shannon became the fathers of the information age by advancing Boolean logic, and looks at the influence of other factors, including the Turing machine.

Open Quantum Systems Far from Equilibrium

Author: Gernot Schaller

Publisher: Springer

ISBN: 331903877X

Category: Science

Page: 207

View: 1177

This monograph provides graduate students and also professional researchers aiming to understand the dynamics of open quantum systems with a valuable and self-contained toolbox. Special focus is laid on the link between microscopic models and the resulting open-system dynamics. This includes how to derive the celebrated Lindblad master equation without applying the rotating wave approximation. As typical representatives for non-equilibrium configurations it treats systems coupled to multiple reservoirs (including the description of quantum transport), driven systems and feedback-controlled quantum systems. Each method is illustrated with easy-to-follow examples from recent research. Exercises and short summaries at the end of every chapter enable the reader to approach the frontiers of current research quickly and make the book useful for quick reference.

Relativity for Everyone

How Space-Time Bends

Author: Kurt Fischer

Publisher: Springer

ISBN: 3319178911

Category: Science

Page: 137

View: 5325

This book, now in a revised and updated second edition, explains the theory of special and general relativity in detail without approaching Einstein's life or the historical background. The text is formulated in such a way that the reader will be able to understand the essence intuitively, and new sections have been added on time machines, the twin paradoxes, and tensors. The first part of the book focuses on the essentials of special relativity. It explains the famous equivalence between mass and energy and tells why Einstein was able to use the theory of electrodynamics as a template for his "electrodynamics of moving bodies". General relativity is then addressed, mainly with the help of thought experiments. Reference is made to the previously introduced special relativity and the equivalence principle and, using many figures, it is explained how space-time is bending under gravity. The climax of the book is the Einstein equation of gravity, which describes the way in which matter bends space-time. The reader is shown how to obtain the famous Schwarzschild solution. Moreover, the book presents a numerically correct and yet intuitive explanation of the classic effects such as light bending and the advance of the perihelion. The book concludes by explaining the Friedmann model of the big bang and why the theory of gravity does not fit with quantum theory.

In Praise of Simple Physics

The Science and Mathematics behind Everyday Questions

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 1400880513

Category: Science

Page: 272

View: 9355

Physics can explain many of the things that we commonly encounter. It can tell us why the night is dark, what causes the tides, and even how best to catch a baseball. With In Praise of Simple Physics, popular math and science writer Paul Nahin presents a plethora of situations that explore the science and math behind the wonders of everyday life. Roaming through a diverse range of puzzles, he illustrates how physics shows us ways to wring more energy from renewable sources, to measure the gravity in our car garages, to figure out which of three light switches in the basement controls the light bulb in the attic, and much, much more. How fast can you travel from London to Paris? How do scientists calculate the energy of an atomic bomb explosion? How do you kick a football so it stays in the air and goes a long way downfield? Nahin begins with simpler problems and progresses to more challenging questions, and his entertaining, accessible, and scientifically and mathematically informed explanations are all punctuated by his trademark humor. Readers are presumed to have some background in beginning differential and integral calculus. Whether you simply have a personal interest in physics' influence in the world or you're an engineering and science student who wants to gain more physics know-how, this book has an intriguing scenario for you. In Praise of Simple Physics proves that if we look carefully at the world around us, physics has answers for the most astonishing day-to-day occurrences.

When Least Is Best

How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 1400841364

Category: Mathematics

Page: 392

View: 3570

What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area? By combining the mathematical history of extrema with contemporary examples, Paul J. Nahin answers these intriguing questions and more in this engaging and witty volume. He shows how life often works at the extremes--with values becoming as small (or as large) as possible--and how mathematicians over the centuries have struggled to calculate these problems of minima and maxima. From medieval writings to the development of modern calculus to the current field of optimization, Nahin tells the story of Dido's problem, Fermat and Descartes, Torricelli, Bishop Berkeley, Goldschmidt, and more. Along the way, he explores how to build the shortest bridge possible between two towns, how to shop for garbage bags, how to vary speed during a race, and how to make the perfect basketball shot. Written in a conversational tone and requiring only an early undergraduate level of mathematical knowledge, When Least Is Best is full of fascinating examples and ready-to-try-at-home experiments. This is the first book on optimization written for a wide audience, and math enthusiasts of all backgrounds will delight in its lively topics.


Author: C. B. Shepherd

Publisher: Read Books Ltd

ISBN: 147335594X

Category: Sports & Recreation

Page: 92

View: 4768

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Geometry from Dynamics, Classical and Quantum

Author: José F. Carinena,Alberto Ibort,Giuseppe Marmo,Giuseppe Morandi

Publisher: Springer

ISBN: 9401792208

Category: Science

Page: 719

View: 9695

This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of the system). The book departs from the principle that ''dynamics is first'' and then tries to answer in what sense the sole dynamics determines the geometrical structures that have proved so useful to describe the dynamics in so many important instances. In this vein it is shown that most of the geometrical structures that are used in the standard presentations of classical dynamics (Jacobi, Poisson, symplectic, Hamiltonian, Lagrangian) are determined, though in general not uniquely, by the dynamics alone. The same program is accomplished for the geometrical structures relevant to describe quantum dynamics. Finally, it is shown that further properties that allow the explicit description of the dynamics of certain dynamical systems, like integrability and super integrability, are deeply related to the previous development and will be covered in the last part of the book. The mathematical framework used to present the previous program is kept to an elementary level throughout the text, indicating where more advanced notions will be needed to proceed further. A family of relevant examples is discussed at length and the necessary ideas from geometry are elaborated along the text. However no effort is made to present an ''all-inclusive'' introduction to differential geometry as many other books already exist on the market doing exactly that. However, the development of the previous program, considered as the posing and solution of a generalized inverse problem for geometry, leads to new ways of thinking and relating some of the most conspicuous geometrical structures appearing in Mathematical and Theoretical Physics.

Introducing JavaFX 8 Programming

Author: Herbert Schildt

Publisher: McGraw Hill Professional

ISBN: 007184256X

Category: Computers

Page: 304

View: 1879

Develop cross-platform, feature-rich JavaFX GUI applications with expert instruction from Java guru Herb Schildt Introducing JavaFX 8 Programming provides a fast-paced introduction to JavaFX, Java’s next-generation GUI programming tool In this easy-to-read guide from Oracle Press, Java guru Herb Schildt presents the key topics and concepts that all Java developers will need to begin developing modern, dynamic JavaFX GUI applications. Of course, it’s written in the cohesive, yet concise format that has made Schildt an international best-selling programming author. Designed expressly for Java programmers, the book’s focus is on the new JavaFX API. As a result, all examples are written entirely in Java. The book begins with the fundamentals, including the general form of a JavaFX program. Readers then advance to event handling, controls, images, fonts, layers, effects, transforms, animation s (including 3D animations), menus, and more. Numerous complete examples are included that put key topics and techniques into action. Presents a cohesive, fast-paced overview of key facets of JavaFX 8 programming Sample code used in the text is available for download from the McGraw-Hill/Oracle Press Web site Written in Herb Schildt’s clear, crisp, uncompromising style that has made him the choice of millions worldwide