Graphs & Digraphs, Seventh Edition masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory. This classic text, widely popular among students and instructors alike for decades, is thoroughly streamlined in this new, seventh edition, to present a text consistent with contemporary expectations. Changes and updates to this edition include: A rewrite of four chapters from the ground up Streamlining by over a third for efficient, comprehensive coverage of graph theory Flexible structure with foundational Chapters 1–6 and customizable topics in Chapters 7–11 Incorporation of the latest developments in fundamental graph theory Statements of recent groundbreaking discoveries, even if proofs are beyond scope Completely reorganized chapters on traversability, connectivity, coloring, and extremal graph theory to reflect recent developments The text remains the consummate choice for an advanced undergraduate level or introductory graduate-level course exploring the subject’s fascinating history, while covering a host of interesting problems and diverse applications. Our major objective is to introduce and treat graph theory as the beautiful area of mathematics we have always found it to be. We have striven to produce a reader-friendly, carefully written book that emphasizes the mathematical theory of graphs, in all their forms. While a certain amount of mathematical maturity, including a solid understanding of proof, is required to appreciate the material, with a small number of exceptions this is the only pre-requisite. In addition, owing to the exhilarating pace of progress in the field, there have been countless developments in fundamental graph theory ever since the previous edition, and many of these discoveries have been incorporated into the book. Of course, some of the proofs of these results are beyond the scope of the book, in which cases we have only included their statements. In other cases, however, these new results have led us to completely reorganize our presentation. Two examples are the chapters on coloring and extremal graph theory.
Graphs & Digraphs, Seventh Edition masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory. This classic text, widely popular among students and instructors alike for decades, is thoroughly streamlined in this new, seventh edition, to present a text consistent with contemporary expectations. Changes and updates to this edition include: • A rewrite of four chapters from the ground up. • Streamlining by over a third for efficient, comprehensive coverage of graph theory. • Flexible structure with foundational Chapters 1–6 and customizable topics in Chapters 7–11. • Incorporation of the latest developments in fundamental graph theory. • Statements of recent groundbreaking discoveries, even if proofs are beyond scope. • Completely reorganized chapters on traversability, connectivity, coloring, and extremal graph theory to reflect recent developments. The text remains the consummate choice for an advanced undergraduate level or introductory graduate-level course exploring the subject’s fascinating history, while covering a host of interesting problems and diverse applications. Our major objective is to introduce and treat graph theory as the beautiful area of mathematics we have always found it to be. We have striven to produce a reader-friendly, carefully written book that emphasizes the mathematical theory of graphs, in all their forms. While a certain amount of mathematical maturity, including a solid understanding of proof, is required to appreciate the material, with a small number of exceptions this is the only pre-requisite. In addition, owing to the exhilarating pace of progress in the field, there have been countless developments in fundamental graph theory ever since the previous edition, and many of these discoveries have been incorporated into the book. Of course, some of the proofs of these results are beyond the scope of the book, in which cases we have only included their statements. In other cases, however, these new results have led us to completely reorganize our presentation. Two examples are the chapters on coloring and extremal graph theory.
This two volume set is a comprehensive guide to neurosurgery. Each section covers neurological disorders in different parts of the body, beginning with an introduction and ending with key practice points for quick review, integrating theory and practice. Genetics, ethics and physiotherapy are also discussed. With contributions from recognised specialists in the USA and Europe, this practical manual includes more than 1000 images and illustrations to assist learning and understanding. Key Features Comprehensive two volume set giving complete review of field of neurosurgery Covers numerous neurological disorders in different parts of the body Each section feature key practice points for quick review Integrates theory and practice More than 1000 images and illustrations Contributions from US and European specialists
Enemies of the Cross examines how suffering and truth were aligned in the divisive debates of the early Reformation. Vincent Evener explores how Martin Luther, along with his first intra-Reformation critics, offered "true" suffering as a crucible that would allow believers to distinguish the truth or falsehood of doctrine, teachers, and their own experiences. To use suffering in this way, however, reformers also needed to teach Christians to recognize false suffering and the false teachers who hid under its mantle. This book contends that these arguments, which became an enduring part of the Lutheran and radical traditions, were nourished by the reception of a daring late-medieval mystical tradition the post-Eckhartian which depicted annihilation of the self as the way to union with God. The first intra-Reformation dissenters, Andreas Bodenstein von Karlstadt and Thomas Müntzer, have frequently been depicted as champions of medieval mystical views over and against the non-mystical Luther. Evener counters this depiction by showing how Luther, Karlstadt, and Müntzer developed their shared mystical tradition in diverse directions, while remaining united in the conviction that sinful self-assertion prevented human beings from receiving truth and living in union with God. He argues that Luther, Karlstadt, and Müntzer each represented a different form of ecclesial-political dissent shaped by a mystical understanding of how Christians were united to God through the destruction of self-assertion. Enemies of the Cross draws on seldom-used sources and proposes new concepts of "revaluation" and "relocation" to describe how Protestants and radicals brought medieval mystical teachings into new frameworks that rejected spiritual hierarchy.
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