Regular Functions of a Quaternionic Variable

This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introd

This manual contains worked-out solutions for all odd-numbered exercises in Larson/Edwards' CALCULUS OF A SINGLE VARIABLE: EARLY TRANSCENDENTAL FUNCTIONS, 7th Edition (Chapters 1-10 of CALCULUS: EARLY

Originally published in two volumes, this long out of print work by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advance

This book is designed as a textbook for a first course on functions of a complex variable. It introduces the fundamental idea of complex numbers and complex variables leading to different tools of com

"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is r

By (author): Niels Jacob (Swansea University, UK), Kristian P Evans (Swansea University, UK) Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introdu

Elegant and concise, this text explores properties of meromorphic functions, Picard theorem, harmonic and subharmonic functions, applications, and boundary behavior of the Riemann mapping function for

Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many

The third original graphic novel from Regular Show has landed!Dark days have come upon the Park, and it's up to Mordecai, Rigby, and the rest of the crew to save the City from the outrageous slings an

While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of difference equations of hypergeometric type on

Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature the instructional presentation found in the p

Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature the instructional presentation found in the p

This book is a comprehensive account of the theory and applications of regular variation. It is concerned with the asymptotic behaviour of a real function of a real variable x which is 'close' to a power of x. Such functions are much more than a convenient extension of powers. In many limit theorems regular variation is intrinsic to the result, and exactly characterises the limit behaviour. The book emphasises such characterisations, and gives a comprehensive treatment of those applications where regular variation plays an essential (rather then merely convenient) role. The authors rigorously develop the basic ideas of Karamata theory and de Haan theory including many new results and 'second-order' theorems. They go on to discuss the role of regular variation in Abelian, Tauberian, and Mercerian theorems. These results are then applied in analytic number theory, complex analysis, and probability, with the aim above all of setting the theory in context. A widely scattered literature is