Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four... Læs mere
Stochastic Calculus for Finance evolved from the first ten years of the Carnegie Mellon Professional Master's program in Computational Finance.
Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra.
Descriptive set theory has been one of the main areas of research in set theory for almost a century. Over the years, researchers in diverse areas of mathematics, such... Læs mere
Beginning with the ?rst edition of Complex Analysis, we have attempted to present the classical and beautiful theory of complex variables in the clearest and most intuitive form possible.
The analytical system depends on collecting the x-ray photons that are generated within the sample as a consequence of interaction with the same high energy beam of primary electrons used to produce images.
This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the... Læs mere
Presenting a vector treatment of the principles of mechanics, this work aims to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results.
In this book, the authors concentrate on the computational aspects of prime numbers, such as recognizing primes and discovering the fundamental prime factors of a given number.
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians.... Læs mere
This is the latest edition of the ultimate collection of challenging probems from The International Mathematical Olympiad (IMO) of high-school-level mathematics problems. This volume collects 143 new problems, picking up where the 1959-2004 edition left off.
This book prepares graduate students for research in numerical analysis/computational mathematics by giving a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps them to move rapidly into a research program.