Author: Andy Stanley Publisher: Zondervan ISBN: 0310536995 Category : Religion Languages : en Pages : 337
Book Description
A fresh look at the earliest Christian movement reveals what made the new faith so compelling...and what we need to change today to make it so again. Once upon a time there was a version of the Christian faith that was practically irresistible. After all, what could be more so than the gospel that Jesus ushered in? Why, then, isn't it the same with Christianity today? Author and pastor Andy Stanley is deeply concerned with the present-day church and its future. He believes that many of the solutions to our issues can be found by investigating our roots. In Irresistible, Andy chronicles what made the early Jesus Movement so compelling, resilient, and irresistible by answering these questions: What did first-century Christians know that we don't—about God's Word, about their lives, about love? What did they do that we're not doing? What makes Christianity so resistible in today's culture? What needs to change in order to repeat the growth our faith had at its beginning? Many people who leave or disparage the faith cite reasons that have less to do with Jesus than with the conduct of his followers. It's time to hit pause and consider the faith modeled by our first-century brothers and sisters who had no official Bible, no status, and little chance of survival. It's time to embrace the version of faith that initiated—against all human odds—a chain of events resulting in the most significant and extensive cultural transformation the world has ever seen. This is a version of Christianity we must remember and re-embrace if we want to be salt and light in an increasingly savorless and dark world.
Author: Assen L. Dontchev Publisher: Springer ISBN: 354047644X Category : Science Languages : en Pages : 432
Book Description
This book presents in a unified way the mathematical theory of well-posedness in optimization. The basic concepts of well-posedness and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. Abstract optimization problems as well as applications to optimal control, calculus of variations and mathematical programming are considered. Both the pure and applied side of these topics are presented. The main subject is often introduced by heuristics, particular cases and examples. Complete proofs are provided. The expected knowledge of the reader does not extend beyond textbook (real and functional) analysis, some topology and differential equations and basic optimization. References are provided for more advanced topics. The book is addressed to mathematicians interested in optimization and related topics, and also to engineers, control theorists, economists and applied scientists who can find here a mathematical justification of practical procedures they encounter.
Author: Grigory I. Shishkin Publisher: CRC Press ISBN: 9780203492413 Category : Mathematics Languages : en Pages : 408
Book Description
Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods. The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domains with smooth and piecewise-smooth boundaries. The authors develop a technique for constructing and justifying ε uniformly convergent difference schemes for boundary value problems with fewer restrictions on the problem data. Containing information published mainly in the last four years, the second section focuses on problems with boundary layers and additional singularities generated by nonsmooth data, unboundedness of the domain, and the perturbation vector parameter. This part also studies both the solution and its derivatives with errors that are independent of the perturbation parameters. Co-authored by the creator of the Shishkin mesh, this book presents a systematic, detailed development of approaches to construct ε uniformly convergent finite difference schemes for broad classes of singularly perturbed boundary value problems.
Author: Feodor M. Borodich Publisher: Springer Nature ISBN: 3030851753 Category : Science Languages : en Pages : 299
Book Description
This book contains contributions from leading researchers in biomechanics, nanomechanics, tribology, contact mechanics, materials science and applications on various experimental techniques including atomic force microscopy (AFM) for studying soft, biomimetic and biological materials and objects. Biologists, physicists, researchers applying methods of contact mechanics and researchers testing materials using indentation techniques along with many other applied scientists will find this book a useful addition to their libraries. Moreover, several reviews in this book are written as introductions to several important and rather sophisticated research areas such as depth-sensing indentation, studying of biological cells by AFM probes, mechanics of adhesive contact and contact between viscoelastic (hereditary elastic) solids. The book containing new theoretical models, results of experimental studies and numerical simulations, along with reviews of above mentioned areas of contact mechanics in application to biological systems, would be beneficial for researchers in many areas of biology, medicine, engineering, mechanics and biomimetics.
Author: Foias Publisher: Birkhäuser ISBN: 3034877129 Category : Science Languages : en Pages : 632
Book Description
Classical H interpolation theory was conceived at the beginning of the century by C. Caratheodory, L. Fejer and I. Schur. The basic method, due to Schur, in solving these problems consists in applying the Mobius transform to peel off the data. In 1967, D. Sarason encompassed these classical interpolation problems in a representation theorem of operators commuting with special contractions. Shortly after that, in 1968, B. Sz. Nagy and C. Foias obtained a purely geometrical extension of Sarason's results. Actually, their result states that operators intertwining restrictions of co-isometries can be extended, by preserving their norm, to operators intertwining these co-isometries; starring with R. G. Douglas, P. S. Muhly and C. Pearcy, this is referred to as the commutant lifting theorem. In 1957, Z. Nehari considered an L interpolation problern which in turn encompassed the same classical interpolation problems, as well as the computation of the distance of a function f in L to H . At about the sametime as Sarason's work, V. M."
Author: John L. Troutman Publisher: Courier Dover Publications ISBN: 0486812227 Category : Mathematics Languages : en Pages : 516
Book Description
This text is geared toward advanced undergraduates and graduate students in mathematics who have some familiarity with multidimensional calculus and ordinary differential equations. Includes a substantial number of answers to selected problems. 1994 edition.
Author: Lakshmikantham Publisher: Academic Press ISBN: 0080956181 Category : Computers Languages : en Pages : 385
Book Description
A book on an advanced level that exposes the reader to the fascinating field of differential equations and provides a ready access to an up-to-date state of this art is of immense value. This book presents a variety of techniques that are employed in the theory of nonlinear boundary value problems. For example, the following are discussed: methods that involve differential inequalities; shooting and angular function techniques; functional analytic approaches; topological methods.
Author: Andy Stanley
Author: 
Author: 
Author: Assen L. Dontchev
Author: Grigory I. Shishkin
Author: 
Author: Feodor M. Borodich
Author: Foias
Author: John L. Troutman
Author: Lakshmikantham