Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory

Springer Science & Business Media
Free sample

The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and also establiShed scientists and engineers to build the skills necessary to analyze equations that they encounter in their work. Our presentation is aimed at developing the insights and techniques that are most useful for attacking new problems. We do not emphasize special methods and tricks which work only for the classical transcendental functions; we do not dwell on equations whose exact solutions are known. The mathematical methods discussed in this book are known collectively as asymptotic and perturbative analysis. These are the most useful and powerful methods for finding approximate solutions to equations, but they are difficult to justify rigorously. Thus, we concentrate on the most fruitful aspect of applied analysis; namely, obtaining the answer. We stress care but not rigor. To explain our approach, we compare our goals with those of a freshman calculus course. A beginning calculus course is considered successful if the students have learned how to solve problems using calculus.
Read more
2 total

Additional Information

Springer Science & Business Media
Read more
Published on
Mar 9, 2013
Read more
Read more
Read more
Read more
Best For
Read more
Read more
Mathematics / Applied
Mathematics / Calculus
Mathematics / Mathematical Analysis
Science / Physics / Mathematical & Computational
Read more
Content Protection
This content is DRM protected.
Read more

Reading information

Smartphones and Tablets

Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.

Laptops and Computers

You can read books purchased on Google Play using your computer's web browser.

eReaders and other devices

To read on e-ink devices like the Sony eReader or Barnes & Noble Nook, you'll need to download a file and transfer it to your device. Please follow the detailed Help center instructions to transfer the files to supported eReaders.
This book contains 104 of the best problems used in the training and testing of the U. S. International Mathematical Olympiad (IMO) team. It is not a collection of very dif?cult, and impenetrable questions. Rather, the book gradually builds students’ number-theoretic skills and techniques. The ?rst chapter provides a comprehensive introduction to number theory and its mathematical structures. This chapter can serve as a textbook for a short course in number theory. This work aims to broaden students’ view of mathematics and better prepare them for possible participation in various mathematical competitions. It provides in-depth enrichment in important areas of number theory by reorganizing and enhancing students’ problem-solving tactics and strategies. The book further stimulates s- dents’ interest for the future study of mathematics. In the United States of America, the selection process leading to participation in the International Mathematical Olympiad (IMO) consists of a series of national contests called the American Mathematics Contest 10 (AMC 10), the American Mathematics Contest 12 (AMC 12), the American Invitational Mathematics - amination (AIME), and the United States of America Mathematical Olympiad (USAMO). Participation in the AIME and the USAMO is by invitation only, based on performance in the preceding exams of the sequence. The Mathematical Olympiad Summer Program (MOSP) is a four-week intensive training program for approximately ?fty very promising students who have risen to the top in the American Mathematics Competitions.
"You think too much! You mother F@$#%&* think too much! You're nothing but an arrogant, pointy-headed intellectual — I want you out of my classroom and off the premises in five minutes or I'm calling the police and having you arrested for trespassing." — Hollywood acting teacher to Randy Olson, former scientist

After nearly a decade on the defensive, the world of science is about to be restored to its rightful place. But is the American public really ready for science? And is the world of science ready for the American public?

Scientists wear ragged clothes, forget to comb their hair, and speak in a language that even they don't understand. Or so people think. Most scientists don't care how they are perceived, but in our media-dominated age, style points count.

Enter Randy Olson. Fifteen years ago, Olson bid farewell to the science world and shipped off to Hollywood ready to change the world. With films like Flock of Dodos: The Evolution-Intelligent Design Circus (Tribeca '06, Showtime) and Sizzle: A Global Warming Comedy (Outfest '08), he has tried to bridge the cultural divide that has too often left science on the outside looking in.

Now, in his first book, Olson, with a Harvard Ph.D. and formerly a tenured professor of marine biology at the University of New Hampshire, recounts the lessons from his own hilarious-and at times humiliating-evolution from science professor to Hollywood filmmaker. In Don't Be Such a Scientist, he shares the secrets of talking substance in an age of style. The key, he argues, is to stay true to the facts while tapping into something more primordial, more irrational, and ultimately more human.

In a book enlivened by a profane acting teacher who made Olson realize that "nobody wants to watch you think," he offers up serious insights and poignant stories. You'll laugh, you may cry, and as a communicator you'll certainly learn the importance of not only knowing how to fulfill, but also how to arouse.
©2018 GoogleSite Terms of ServicePrivacyDevelopersArtistsAbout Google|Location: United StatesLanguage: English (United States)
By purchasing this item, you are transacting with Google Payments and agreeing to the Google Payments Terms of Service and Privacy Notice.