This graduate-level textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. «The exposition is fresh and sophisticated,» declared Sci-Tech Book News, «and will engage the interest of ac ...
Geared toward students of applied rather than pure mathematics, this volume introduces elements of partial differential equations. Its focus is primarily upon finding solutions to particular equations rather than general theory.Topics include ordinary differential equations in more than two variables, partial differential equations of the first and second orders, Laplace's equation, the wave equation, and the diffusion equation. A helpful A ...
This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and integral parts.The author refr ...
This approach to the basics of probability theory employs the simple conceptual framework of the Kolmogorov model, a method that comprises both the literature of applications and the literature on pure mathematics. The author also presents a substantial introduction to the idea of a random process. Intended for college juniors and seniors majoring in science, engineering, or mathematics, the book assumes a familiarity with basic calculus.After a ...
Science and religion are compatible, declares the famous physicist. In these essays, Einstein views science as the basis for a «cosmic» religion, embraced by scientists, theologians, and all who share a sense of wonder in the rationality and beauty of the universe. In the course of his career, Einstein wrote more than 300 scientific and 150 nonscientific publications. These essays date from the 1930s and 40s. In direct, everyday language the aut ...
Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics. But there is one other motive which is as strong as any of these—the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a ...
A young boy on the way home is followed by an increasing amount of cats. This is a counting book disguised as a fun story in rhyme. You will find it filled with wonderful illustrations and a surprise ending that makes it fun to read over and over again!<br><br>Story and concept by Sandy Stallsmith<br><br>Illustration by Cheryl Crouthamel<br><br>A Bedtime Rhymes project<br><br>www.bedtimerhymes.com ...
"Leaving Truth" offers a radically new, and potentially conclusive, contribution to our ancient science vs. religion debate. It is a collection of five essays, one main and four subsidiary. The collection addresses how we can most coherently select proposals as knowledge, and the limitation from this on the kinds of proposals that we can select. Though at first glance abstruse and academic, addressing this most basic epistemic ...
Без математики невозможно ни освоение космоса, ни создание роботов. Математика – точная наука, не терпящая ошибок. Ее законы легли в основу всех изобретений. Материал книги позволит как проверить свои знания, так и узнать новое. ...
