Gary R. Jensen's Books

Surfaces in Classical Geometries

A Treatment by Moving Frames

By: Gary R. Jensen,Emilio Musso,Lorenzo Nicolodi

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Surfaces in Classical Geometries

A Treatment by Moving Frames

By: Gary R. Jensen,Emilio Musso,Lorenzo Nicolodi

Designed for intermediate graduate studies, this text will broaden students' core knowledge of differential geometry providing foundational material to relevant topics in classical differential geometry. The method of moving frames, a natural means for discovering and proving important results, provides the basis of treatment for topics discussed. Its application in many areas helps to connect the various geometries and to uncover many deep relationships, such as the Lawson correspondence. The nearly 300 problems and exercises range from simple applications to open problems. Exercises are embedded in the text as essential parts of the exposition. Problems are collected at the end of each chapter; solutions to select problems are given at the end of the book. Mathematica®, MatlabTM, and Xfig are used to illustrate selected concepts and results. The careful selection of results serves to show the reader how to prove the most important theorems in the subject, which may become the foundation of future progress. The book pursues significant results beyond the standard topics of an introductory differential geometry course. A sample of these results includes the Willmore functional, the classification of cyclides of Dupin, the Bonnet problem, constant mean curvature immersions, isothermic immersions, and the duality between minimal surfaces in Euclidean space and constant mean curvature surfaces in hyperbolic space. The book concludes with Lie sphere geometry and its spectacular result that all cyclides of Dupin are Lie sphere equivalent. The exposition is restricted to curves and surfaces in order to emphasize the geometric interpretation of invariants and other constructions. Working in low dimensions helps students develop a strong geometric intuition. Aspiring geometers will acquire a working knowledge of curves and surfaces in classical geometries. Students will learn the invariants of conformal geometry and how these relate to the invariants of Euclidean, spherical, and hyperbolic geometry. They will learn the fundamentals of Lie sphere geometry, which require the notion of Legendre immersions of a contact structure. Prerequisites include a completed one semester standard course on manifold theory.

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Page Count

576

Publisher

Springer

Published Date

ISBN 10

3319270761

ISBN 13

9783319270760

Differential Systems and Isometric Embeddings.(AM-114), Volume 114

By: Phillip A. Griffiths,Gary R. Jensen

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Differential Systems and Isometric Embeddings.(AM-114), Volume 114

By: Phillip A. Griffiths,Gary R. Jensen

The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds.

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Page Count

238

Publisher

Princeton University Press

Published Date

ISBN 10

1400882109

ISBN 13

9781400882106

Arithmetic for Teachers

With Applications and Topics from Geometry

By: Gary R. Jensen

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Arithmetic for Teachers

With Applications and Topics from Geometry

By: Gary R. Jensen

Excellent teaching of mathematics at the elementary school level requires that the teacher be an expert in school mathematics. This textbook for prospective teachers presents topics from the K-6 mathematics curriculum, but at a greater depth than is usually found in the classroom. The added knowledge that comes from this approach gives the teacher essential insight into how the topics interrelate and where difficulties might lie. With this deeper mathematical preparation, the teacher is better able to explain concepts, demonstrate computational procedures and lead students through problem-solving techniques. The primary focus is on the foundations of arithmetic, along with a selection of topics from geometry and a wide range of applications. The number line is used throughout to visualize concepts and to tie them to the solution of problems. The book emphasizes how to explain the concepts and how to explain problem solutions. This is a textbook for a college course in mathematics for prospective elementary school teachers. It will also be a resource for the instructors of such courses.

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Page Count

402

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821871943

ISBN 13

9780821871942

Essentials of Clinical Pulmonology

By: Pallav L Shah,Felix JF Herth,YC Gary Lee,Gerard J Criner

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Essentials of Clinical Pulmonology

By: Pallav L Shah,Felix JF Herth,YC Gary Lee,Gerard J Criner

Concise yet comprehensive, this textbook of clinical pulmonology provides pulmonologists and respiratory disease physicians with all the key information that they need to know to manage the patient through the diagnosis and treatment journeys. From the most common condition to the rarest, each disease is consistently presented and comprehensively covered giving the reader just the key facts. Building upon the basic sciences and integrating these with clinical practice, each chapter has a consistent approach, is highly designed and visually appealing. Numerous illustrations, colour photographs, scans, bullet points, tables and algorithms ensure that the key information is available at a glance. The keynote sections serve as a useful revision aid as do the multiple choice questions. A truly international and highly experienced editorship with expert contributors from around the world ensure that the book remains a trusted source of information. Set at the level between the definitive reference work and the clinical manual, Essentials of Clinical Pulmonology is an invaluable cornerstone for all pulmonologists whether trainees or experienced clinicians.

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Page Count

755

Publisher

CRC Press

Published Date

ISBN 10

1444186477

ISBN 13

9781444186475

Sociology

Experiencing Changing Societies

By: Gary Scott Smith,Kenneth C. Kammeyer,George Ritzer

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Sociology

Experiencing Changing Societies

By: Gary Scott Smith,Kenneth C. Kammeyer,George Ritzer

This book presents sociology in an orderly, consistent, and integrated manner.

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Page Count

420

Publisher

Allyn & Bacon

Published Date

ISBN 10

0205266223

ISBN 13

9780205266227

Pharmacotherapy

A Pathophysiologic Approach

By: Joseph T. DiPiro,Robert L. Talbert,Gary C. Yee,Gary R. Matzke,Barbara G. Wells,L. Michael Posey

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Pharmacotherapy

A Pathophysiologic Approach

By: Joseph T. DiPiro,Robert L. Talbert,Gary C. Yee,Gary R. Matzke,Barbara G. Wells,L. Michael Posey

The benchmark evidence-based pharmacotherapy text-now in full color! Additional chapters are available online When it comes to helping you develop a mastery of evidence-based medicine for optimal patient outcomes, no book can match Pharmacotherapy: A Pathophysiologic Approach. Like the discipline it covers, the scope of this trusted resource goes beyond drug indications and dosages to include the initial selection, proper administration, and monitoring of drugs. The book also delves into psychosocial issues that affect compliance ... topics related to a patient's ability to understand and manage often-complex therapy... and lifestyle changes that may reduce the need for drug therapy or improve pharmacotherapeutic outcomes. Pharmacotherapy delivers everything you need to provide safe, efficacious drug therapy across the full range of therapeutic categories. FEATURES NEW! Expanded evidence-based recommendations NEW! Extended coverage of the timely issue of palliative care and pain medicine NEW! Important chapters on Pulmonary Hypertension, Disorders of Calcium and Phosphorus Homeostasis, and Multiple Myeloma, Outstanding pedagogy, including: “Key Concepts” highlighted in each chapter “Clinical Presentation” boxes summarize the most common disease signs and symptoms covered in each chapter “Clinical Controversies” boxes-presented in the Treatment sections of the disease-oriented chapters-examine the complicated issues faced by students and clinicians in providing drug therapy Clear therapeutic recommendations in each disease-specific chapter “Evaluation of Therapeutic Outcomes” boxes in each disease-specific chapter, containing key monitoring guidelines that facilitate the development of a pharmaceutical, nursing, or medical care plan

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Page Count

2598

Publisher

McGraw Hill Professional

Published Date

ISBN 10

0071643257

ISBN 13

9780071643252

Book's by Gary R. Jensen

Surfaces in Classical Geometries

Surfaces in Classical Geometries

Differential Systems and Isometric Embeddings.(AM-114), Volume 114

Differential Systems and Isometric Embeddings.(AM-114), Volume 114

Arithmetic for Teachers

Arithmetic for Teachers

Essentials of Clinical Pulmonology

Essentials of Clinical Pulmonology

Sociology

Sociology

Pharmacotherapy

Pharmacotherapy

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