This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented.New to the Secon...

God has always dealt with his people through the covenant, yet covenant theology from a Baptist perspective is a teaching that is all too often neglected. Many Baptists don't know why they are Baptist. If questioned they are most likely to respond by alluding to the mode of baptism rather than its underlying theology. This book is easily accessible, providing the reader with a clear understanding of the historical Baptist position. The work points out the errors inherent in the Reformed pa...

In today's world the Christian is constantly being challenged with new teachings. Some of these are particularly dangerous because they are put forward by those with evangelical credentials. Tom Nicholas Wright is one of the leading proponents of the New Perspective on Paul. Wright sees himself as the new Luther, a discoverer of the true biblical understanding of key doctrines like that of justification by faith. According to him, the Reformation misunderstood the nature of justification b...

The Enlightenment caused a paradigm shift in the worldview of most people living in the Western world. Those Christian doctrines associated with the Protestant Reformation were believed to be no longer tenable. The great German theologian Karl Barth appeared to provide a remedy for this, with a theology that harkened back to Protestant Reformation. From Calvin to Barth examines just how successful Barth was in returning to the old ways; to ascertain whether he did espouse the thinking of m...

God's covenants form the backbone of the Scriptures. Understanding these covenants is the key to unlocking the treasures that lay therein. This book will enable the reader, not only to appreciate redemptive history, but to understand more fully his/her position in Christ. Griffiths demonstrates the essential fact that there has always been one Church, one way of salvation, and that all have been, are being, and will be saved only through faith in Christ. Griffiths eschews the Presbyterian ...

This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors’ participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami.One of the main themes is the study of moduli spaces and their compactifications. Several articles speak of the singularities occuring in the boundaries of geometrical or Hodge-theoretic compactifications, semistable red...

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers.Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly be...

A new uniform for a new era! The future is now with this visionary relaunch of the globally acclaimed Mighty Morphin Power Rangers series.It’s been ten years since the original Mighty Morphin Power Rangers turned in their morphers and went their separate ways. But now they’ve been called back to the legendary Command Center to face a new, terrifying form of a familiar foe: Rita Rabiosa.They may not be teenagers with attitudes anymore, but are they still the...

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer S...

For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This n...

Calculus Study GuideFEATURES:- Includes both Calculus I and II - Clear and concise explanations - Difficult concepts are explained in simple terms - Illustrated with graphs and diagrams - Search for the words or phrases - Access the guide anytime, anywhere - at home, on the train, in the subway. - Use your down time to prepare for an exam. - Always have the guide available for a quick reference. TABLE OF CONTENTS:Introduction: FunctionsLimits and Continuity: Limit of a Sequence Limit of a ...

Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional ...