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Real Analysis and Applications
This new approach to real analysis stresses the use of the subject with respect to applications, i.e., how the principles and theory of real analysis can be applied in a variety of settings in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more intensive work in each topic through these applications and their accompanying exercises. This book is appropriate for math enthusiasts with a prior knowledge of both calculus and linear algebra.
C*-Algebras by Example
The subject of C*-algebras received a dramatic revitalization in the 1970s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C*-algebras and Elliott's use of $K$-theory to provide a useful classification of AF algebras. These results were the beginning of a marvelous new set of tools for analyzing concrete C*-algebras. This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras. The development of operator algebras in the last twenty years has been based on a careful study of these special classes. While there are many books on C*-al...
Real Analysis with Real Applications
Using a progressive but flexible format, this book contains a series of independent chapters that show how the principles and theory of real analysis can be applied in a variety of settings-in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more intensive work in each topic through these applications and their accompanying exercises. Chapter topics under the abstract analysis heading include: the real numbers, series, the topology of R^n, functions, normed vector spaces, differentiation and integration, and limits of functions. Applications cover approximation by polynomials, discrete dynamical systems, differential equations, Fourier series and physics, Fourier series and approximation, wavelets, and convexity and optimization. For math enthusiasts with a prior knowledge of both calculus and linear algebra.
The Manifold Beauty of Genesis One
See and celebrate the multilayered grandeur conveyed by the first chapter of Genesis The first chapter of the Bible's first book lays the foundation for all that follows about who God is and what God is like. Our technology-age fascination with the science of origins, however, can blind us to issues of great importance that don't address our culturally conditioned questions. Instead, Genesis One itself suggests the questions and answers that are most significant to human faith and flourishing. Geologist Gregg Davidson and theologian Ken Turner shine a spotlight on Genesis One as theologically rich literature first and foremost, exploring the layers of meaning that showcase various aspects of God's character: Song Analogy Polemic Covenant Temple Calendar Land Our very knowledge of God suffers when we fail to appreciate the Bible's ability to convey multilayered truth simultaneously. The Manifold Beauty of Genesis One offers readers the chance to cultivate an openness to Scripture's richness and a deeper faith in the Creator.
Reimagining Business Education
This book discusses the rationale for, and design of, the first Business Education Jam. It reviews key challenges and articulates a vision for how the role and delivery of business education could be reimagined in a time when business schools struggle to identify the innovations necessary to meet the needs of a changing world.
Robots and Screw Theory
This book describes the mathematical foundations, especially geometric, underlying the motions and force-transfers in robots. The principles developed can be applied to both control of robots and the design of their major moving parts. Comprehensive coverage of the screw and its geometry bridges the gap between screw theory and traditional mechanics but no prior knowledge of screw theory is assumed. The reader is introduced to the screw with a simple planar example and progresses to robots that move three-dimensionally. Containing many illustrative examples, over 300 exercises, and a chapter list of references it is ideal for graduate students, researchers and professionals in the field of robotics, robot design and development.
Real Analysis and Applications
Real Analysis and Applications starts with a streamlined, but complete approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury's orbit, which Einstein called "convincing proof...
Handbook of the Geometry of Banach Spaces
The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbo...
Uncommon Sense
"Uncommon Sense is the first nontechnical presentation of biologist / philosopher Ludwig von Bertalanffy and the only approachable explanation of his discoveries in the ecological / holistic field known as General Systems Theory. Prepared with the help of his private papers and reminiscences of his wife and son, this book offers a vital tool for managers, physicians, psychologists, scientists, teachers, parents, and public officials."--Book cover.
Social Withdrawal, inhibition, and Shyness in Childhood
Psychologists of varying theoretical persuasions have long held that social experiences are critical to normal developmental trajectories and that the lack of such experiences is worthy of compensatory attention. Surprisingly, however, little empirical attention has been directed to the study of the psychological significance of social solitude for children. In an effort to shed new light on the meanings and developmental course of social solitude in childhood, a group of esteemed scholars from Europe and North America was invited to share and exchange information. An international audience of researchers actively involved in the study of social withdrawal and social inhibition or shyness in childhood was led in discussion by the scholars whose chapters are published in this volume. The editors hope that this offering stimulates continuing efforts to better understand the developmental meanings, causes, and courses of this childhood social dysfunction.
