Regular Functions of a Quaternionic Variable

This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development w

The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially co

The book focuses on the aqueous interface of biomolecules, a vital yet overlooked area of biophysical research. Most biological phenomena cannot be fully understood at the molecular level without cons

This book introduces electric circuits with variable loads and voltage regulators. It allows to define invariant relationships for various parameters of regime and circuit sections and to prove the co

In Printing Colour 1400–1700, Ad Stijnman and Elizabeth Savage offer the first handbook of early modern colour printmaking before 1700 (when most such histories begin), creating a new, interdisciplina

This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in purely anisotropic elastic, transversely isotropic elastic and isotropic elastic media. Problems include those in three-dimensional, (two-dimensional) infinite, half, and biomaterial spaces (planes). While the emphasis is on the Green's functions related to the line and point force, those corresponding to the important line and point dislocation are also provided and discussed. This book provides a comprehensive derivation and collection of the Green's functions in the concerned media, and as such, it is an ideal reference book for researchers and engineers, and a textbook for both students in

The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this third edition of Numbers and Functions, Professor Burn invites the student reader to tackle each of the key concepts in turn, progressing from experience through a structured sequence of more than 800 problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, of which most are supplied with brief answers, draws students into constructing definitions and theorems for themselves. This natural development is informed and complemented by historical insight. Carefully corrected and updated throughout, this new edition also includes extra questions on integration and an introduction to convergence. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.

This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variabl

Computer simulations is a fundamental tool of the design process in many engineering disciplines including aerospace engineering. However, although high-fidelity numerical models are accurate, they ca

The utility idea has had a long history in economics, especially in the explanation of demand and in welfare economics. In a comprehensive survey and critique of the Slutsky theory and the pattern to

The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis.This second edition of Im

Close Relationships: Functions, Forms and Processes provides an overview of current theory and research in the area of close relationships, written by internationally renowned scholars whose work is a

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations — zeta symmetry — which zeta-functions satisfy, thus streamlining previously published resu

This charming pocket handbook is a complete guide to the manners, customs and etiquette of the glamorous 1920s. Each chapter gives detailed instructions for a specific type of social event: what to ex

Written in a manner that is accessible to both students and practitioners, Fundamentals of Strength discusses the basis and implementation of the Mechanical Threshold Stress (MTS) model. Author P. S.

Published in time for the 2013-2014 school year, a comprehensive resource for the CCSS-based mathematics curriculum follows current requirements and provides in each module a sequence of lessons that

Handbook of Nutrients: Structures, Metabolism and Genetics provides a comprehensive overview of the supply and use of nutrients in the human body and how the body regulates intake. Chapters detail the

This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value

Designed as a reference work and also as a graduate-level textbook, this volume presents an up-to-date and comprehensive account of the theories and applications of the various methods and technique

Evaluation research has been subject to a tremendous boom in recent years advancing to become an important instrument for analysing the effectiveness of government programmes as well as reviewing the

This book provides developmental data regarding piglets (with a focus on the gastrointestinal tract), data related to amino acid metabolism in pigs, data related to nutritional and physiological funct

The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineerin

A guide for software development of the dynamic security assessment and control of power systems, Structure Preserving Energy Functions in Power Systems: Theory and Applications takes an approach that

Learn to use Excel for practical, day-to-day calculationsExcel is a powerful program with more than 300 built-in functions that can be used to perform an almost infinite number of calculations. This f

?This brief presents characterizations of identification errors under a probabilistic framework when output sensors are binary, quantized, or regular. By considering both space complexity in terms of

Larson's CALCULUS OF A SINGLE VARIABLE HYBRID, Tenth Edition, delivers the same solid and effective pedagogy as his market-leading hardcover text, CALCULUS OF A SINGLE VARIABLE, Tenth Edition, combine

In theoretical terms, sex differences in brains and behaviors of laboratory animals offer the possibility of fascinating scientific studies on a range of molecular phenomena such as genomic imprinting

This book offers a self-contained introduction to non-equilibrium quantum particle dynamics for inhomogeneous systems, including a survey of recent breakthroughs pioneered by the authors and others. T

Italian Renaissance ‘plaquettes’ are often stored and displayed as a homogeneous category or genre in museum collections due to their apparently uniform small relief format. This has resulted in a sch

Digital Functions and Data Reconstruction: Digital-Discrete Methods provides a solid foundation to the theory of digital functions and its applications to image data analysis, digital object deformati

This work has become the standard introduction to the theory of p-adic numbers. The 2nd edition adds a deeper treatment of p-adic functions, including the Iwasawa logarithm and the p-adic gamma-functi

A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the

The new FileMaker 12 allows you to build unparalleled databases for a wide variety of devices, from Windows and Mac desktops to iPhones and iPad. With 10 million registered customers, FileMaker's user

Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduc

Among the widely agreed facts of physics in the late nineteenth century was the existence of luminiferous ether: the medium through which light was thought to travel. Theorised to be a highly rarefied substance, the ether accounted for the movement of light, gravity and even heat across a vacuum. It also had great implications for spiritualism. Where thought was not proven to be a result of chemistry in the brain, the presence of ether allowed for the idea that cognition and emotion might exist independently of a physical body. First published in 1925, this monograph by the eminent physicist and ether advocate Sir Oliver Lodge (1851–1940) was written for the non-scientific reader. With a focus on straightforward explanations rather than mathematical theory, his book still represents a fascinating introduction to the topic today.

In his study of optics, Newton postulated that light, like sound, must be carried through a medium, and that this medium must exist even in a vacuum. By the late nineteenth century, this theoretical substance was known as the luminiferous ether. But the ether theory faced several problems. If the earth moved through ether, there would be ether wind, and light travelling against the flow would move more slowly than light travelling with it. That was soon disproven. Nor could the ether be stationary: by 1905, Einstein's work on relativity had disproven absolute motion. In this fascinating advocacy of ether, first published in 1933, Sir Oliver Lodge (1851–1940) fiercely defends ether against the new physics, arguing for solid models over mathematical abstractions, and urging new ether experiments. With in-depth references to Einstein, Jeans and Eddington, this book is still relevant to students in the history of science.

The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences ar

Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher’s voice beyond the classroom. That voice—evident in the narrative

A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo- metry) of the drum and its sound (its spectrum). In

Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solu