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Riemannian Geometry
Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialise in Riemannian geometry. Instead of variational techniques, the author uses a unique approach, emphasising distance functions and special co-ordinate systems. He also uses standard calculus with some techniques from differential equations to provide a more elementary route. Many chapters contain material typically found in specialised texts, never before published in a single source. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research - including sections on convergence and compactness of families of manifolds. Thus, this book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stokes theorem. Various exercises are scattered throughout the text, helping motivate readers to deepen their understanding of the subject.
Linear Algebra
This textbook on linear algebra includes the key topics of the subject that most advanced undergraduates need to learn before entering graduate school. All the usual topics, such as complex vector spaces, complex inner products, the Spectral theorem for normal operators, dual spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form, are covered, along with a chapter on determinants at the end of the book. In addition, there is material throughout the text on linear differential equations and how it integrates with all of the important concepts in linear algebra. This book has several distinguishing features that set it apart from other linear algebra texts. ...
12 Rules for Life
The #1 Sunday Times and International Bestseller from 'the most influential public intellectual in the Western world right now' (New York Times) What are the most valuable things that everyone should know? Acclaimed clinical psychologist Jordan Peterson has influenced the modern understanding of personality, and now he has become one of the world's most popular public thinkers, with his lectures on topics from the Bible to romantic relationships to mythology drawing tens of millions of viewers. In an era of unprecedented change and polarizing politics, his frank and refreshing message about the value of individual responsibility and ancient wisdom has resonated around the world. In this book...
The World Transparent
The World Transparent examines the spiritual themes that have populated our Western and Christian tradition for many centuries. From a sacramental standpoint, and using forty well-loved films as illustrations, The World Transparent endeavors to guide the reader through a process of formation and towards a mature understanding of the Christian faith; not only as an intellectual exploration, but as a spiritually lived experience. Its focus is on the virtues, as they help to form us to live purposeful lives and attain happiness; on conscience, as it directs our judgment and moral actions; on grace, as it lifts up our nature and works to perfect it; on the sacraments, as they confer the graces that enable us to meet life's struggles; and on the theological virtues of faith, hope, and love, as they immerse us in the order of grace and direct us to the source of our redemption in Christ. Each of these sacred themes is augmented by beauty and by the sacramental qualities found in great art, in powerful stories, and shot through, eminently, by classic, masterful film.
Riemannian Geometry
This classic text serves as a tool for self-study; it is also used as a basic text for undergraduate courses in differential geometry. The author's ability to extract the essential elements of the theory in a lucid and concise fashion allows the student easy access to the material and enables the instructor to add emphasis and cover special topics. The extraordinary wealth of examples within the exercises and the new material, ranging from isoperimetric problems to comments on Einstein's original paper on relativity theory, enhance this new edition.
Current Catalog
First multi-year cumulation covers six years: 1965-70.
