Higher Transcendental Functions

Higher Transcendental Functions
Author: Bateman Manuscript Project
Publisher:
Total Pages: 416
Release: 2007
Genre: Transcendental functions
ISBN: 9780486446158

"[Among] the most widely cited mathematical works of all time and a basic reference source for generations of applied mathematicians and physicists throughout the world."—Bulletin of the London Mathematical Society This three-volume series is based in part on notes by Professor Harry Bateman of the California Institute of Technology, a remarkable scientist who made outstanding contributions to applied mathematics. During his final years, Professor Bateman embarked upon a project whose successful completion, he believed, would prove of great value to scientists in all fields. Higher Transcendental Functions represents the culmination of Professor Bateman's goal. A team of editors led by the distinguished mathematician and scholar Arthur Erdélyi not only finished the original project but also made significant advances in mathematical analysis. The books, which can be used independently of each other, consist of Volume 1, which focuses on the hypergeometric series; Volume 2, an exploration of Bessel functions, orthogonal polynomials, and elliptic functions and integrals; and Volume 3, an examination of automorphic functions, spheroidal and ellipsoidal wave functions, and other functions.

Handbook of Mathematical Functions

Handbook of Mathematical Functions
Author: Milton Abramowitz
Publisher: Courier Corporation
Total Pages: 1068
Release: 1965-01-01
Genre: Mathematics
ISBN: 9780486612720

An extensive summary of mathematical functions that occur in physical and engineering problems

Solving Transcendental Equations

Solving Transcendental Equations
Author: John P. Boyd
Publisher: SIAM
Total Pages: 446
Release: 2014-09-23
Genre: Mathematics
ISBN: 161197352X

Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.

Symbolic Integration I

Symbolic Integration I
Author: Manuel Bronstein
Publisher: Springer Science & Business Media
Total Pages: 311
Release: 2013-03-14
Genre: Mathematics
ISBN: 3662033860

This first volume in the series "Algorithms and Computation in Mathematics", is destined to become the standard reference work in the field. Manuel Bronstein is the number-one expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.

Special Functions: Group Theoretical Aspects and Applications

Special Functions: Group Theoretical Aspects and Applications
Author: R.A. Askey
Publisher: Springer Science & Business Media
Total Pages: 352
Release: 2001-11-30
Genre: Mathematics
ISBN: 9781402003196

Approach your problems from It isn't that they can't see the right end and begin with the solution. the answers. Then one day, It is that they can't see the perhaps you will find the problem. final question. G.K. Chesterton. The Scandal 'The Hermit Clad in Crane of Father Brown 'The Point of Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.