This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.

For nonprofits leadership transitions are a time of exceptionally high risk. Here, three internationally-respected experts show how to systematically identify, introduce, support, and monitor leaders in ways that enhance rather than undermine their performance. They explain why leadership transitions are so challenging for nonprofits, and show how to replace chaos and crisis with proven, sustainable leadership transition plans. Writing for all nonprofit board members, leaders, aspiring leaders, and stakeholders, the authors demonstrate how to: Maintain organizational momentum, continuity, and credibility through the transition Find leaders who align well with your organizational values and its evolving culture Avoid fighting, rumors, accusations, and the common mistakes that derail nonprofit leadership transitions Build a sturdy bridge between departing and incoming leaders Set appropriate expectations for both boards and leaders, and guide them to complement each other successfully Plan succession and continuity for the long-term Use transitions to advance the organization's mission

Explicitly reintroducing the idea of modeling to the analysis of structures, Analytical Estimates of Structural Behavior presents an integrated approach to modeling and estimating the behavior of structures. With the increasing reliance on computer-based approaches in structural analysis, it is becoming even more important for structural engineers to recognize that they are dealing with models of structures, not with the actual structures. As tempting as it is to run innumerable simulations, closed-form estimates can be effectively used to guide and check numerical results, and to confirm physical insights and intuitions. Spend Less Time Generating Numbers, and More Time Understanding What They Mean This book encourages readers to think about structures and their models in a way that is rooted in classic elementary elasticity-depending less on advanced mathematical techniques and more on the dimensions and magnitudes of the underlying physics. The authors stretch the mold, emphasizing and more explicitly describing the modeling process. The focus is on learning which calculations to perform and how to validate and interpret the results-skills that will be increasingly useful for professional engineers. Chapters cover: Key principles and techniques of mathematical modeling, including dimensional analysis, scaling, linearity, and balance and conservation laws Basic structural models How to develop and express physical intuition How to track the behavior of arches under lateral load Two methods of analyzing coupled discrete systems-Castigliano's theorems and Rayleigh's quotient-to lay a foundation for their application to continuous systems How to derive simple, accurate estimates of the transverse displacements of structures modeled in terms of coupled Timoshenko beams How to

Explicitly reintroducing the idea of modeling to the analysis of structures, Analytical Estimates of Structural Behavior presents an integrated approach to modeling and estimating the behavior of structures. With the increasing reliance on computer-based approaches in structural analysis, it is becoming even more important for structural engineers to recognize that they are dealing with models of structures, not with the actual structures. As tempting as it is to run innumerable simulations, closed-form estimates can be effectively used to guide and check numerical results, and to confirm physical insights and intuitions.

Spend Less Time Generating Numbers, and More Time Understanding What They Mean

This book encourages readers to think about structures and their models in a way that is rooted in classic elementary elasticity-depending less on advanced mathematical techniques and more on the dimensions and magnitudes of the underlying physics. The authors stretch the mold, emphasizing and more explicitly describing the modeling process. The focus is on learning which calculations to perform and how to validate and interpret the results-skills that will be increasingly useful for professional engineers.

Chapters cover:

• Key principles and techniques of mathematical modeling, including dimensional analysis, scaling, linearity, and balance and conservation laws
• Basic structural models
• How to develop and express physical intuition
• How to track the behavior of arches under lateral load
• Two methods of analyzing coupled discrete systems-Castigliano's theorems and Rayleigh's quotient-to lay a foundation for their application to continuous systems
• How to derive simple, accurate estimates of the transverse displacements of structures modeled in terms of coupled Timoshenko beams
• How to analyze the dimensional behavior and calculate numerical values of fundamental frequencies of structures modeled in terms of Euler-Bernoulli, Timoshenko, and coupled-beam systems

Taking a unique approach, Analytical Estimates of Structural Behavior is suitable for advanced undergraduates, as well as graduate students and practitioners, who want to spend less time and effort generating numbers, and more time understanding what those numbers mean.

This monograph deals primarily with the prediction of vector valued stochastic processes that are either weakly stationary, or have weakly stationary increments, from finite segments of their past. The main focus is on the analytic counterpart of these problems, which amounts to computing projections onto subspaces of a Hilbert space of p x 1 vector valued functions with an inner product that is defined in terms of the p x p matrix valued spectral density of the process. The strategy is to identify these subspaces as vector valued de Branges spaces and then to express projections in terms of the reproducing kernels of these spaces and/or in terms of a generalized Fourier transform that is obtained from the solution of an associated inverse spectral problem. Subsequently, the projection of the past onto the future and the future onto the past is interpreted in terms of the range of appropriately defined Hankel operators and their adjoints, and, in the last chapter, assorted computations are carried out for rational spectral densities. The underlying mathematics needed to tackle this class of problems is developed in careful detail, but, to ease the reading, an attempt is made to avoid excessive generality. En route a number of results that, to the best of our knowledge, were only known for p = 1 are generalized to the case p > 1.

Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors' objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.

This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributions have helped to shape over the last forty odd years. These include interpolation, Szegoe limit theorems, Nehari problems, trace formulas, systems and control theory, convexity, matrix completion problems, linear matrix inequalities and optimization. The book should be useful to graduate students in mathematics and engineering, as well as to faculty and individuals seeking entry level introductions and references to the indicated topics. It can also serve as a supplementary text to numerous courses in pure and applied mathematics and engineering, as well as a source book for seminars.

This book is dedicated to the memory of Israel Gohberg (1928-2009) - one of the great mathematicians of our time - who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg's mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.

In this issue of Dental Clinics, guest editor Dr. Harry Dym brings his considerable expertise to the topic of Controversies in Oral and Maxillofacial Surgery. Evidence-based dentistry based on high-quality research is essential to help develop new treatments and alternative options. This issue tackles clinically relevant controversial subjects and helps present cogent, clear information for the clinician to determine the best possible solution or approach. Contains 14 relevant, practice-oriented topics, including short implants: their role in implant reconstruction; need for cone beam imaging in oral surgery and dentistry?; bisphosphonate therapy and its implications in dentistry and oral surgery; post-procedure analgesic management; controversies in the management of the sleep apnea patient; and more. Provides in-depth clinical reviews on controversies in oral and maxillofacial surgery, offering actionable insights for clinical practice. Presents the latest information on this timely, focused topic under the leadership of experienced editors in the field. Authors synthesize and distill the latest research and practice guidelines to create clinically significant, topic-based reviews.

This volume contains the proceedings of the Workshop on app1ications of linear operator theory to systems and networks, which was held at the Weizmann Institute of Science in the third week of June, 19S3,just be fore the MTNS Conference in Beersheva. For a 10ng time these subjects were studied indepen- dent1y by mathematica1 ana1ysts and e1ectrica1 engineers. Never- the1ess, in spite of the lack of communication, these two groups often deve10ped parallel theories, though in different languages, at different levels of genera1ity and typica11y quite different motivations. In the last severa1 years each side has become aware of the work of the other and there is a seeming1y ever- increasing invo1vement of the abstract theories of factorization, extension and interpolation of operators (and operator/matrix va1ued functions) to the design and analysis of systems and net- works. Moreover, the problems encountered in e1ectrica1 engineering have genera ted new mathematica1 problems, new approaches, and usefu1 new formu1ations. The papers contained in this volume constitute a more than representative se1ection of the presented talks and dis- cussion at the workshop, and hopefu11y will also serve to give a reasonably accurate picture of the problems which are under active study today and the techniques which are used to deal with them.

This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributions have helped to shape over the last forty odd years. These include interpolation, Szegoe limit theorems, Nehari problems, trace formulas, systems and control theory, convexity, matrix completion problems, linear matrix inequalities and optimization. The book should be useful to graduate students in mathematics and engineering, as well as to faculty and individuals seeking entry level introductions and references to the indicated topics. It can also serve as a supplementary text to numerous courses in pure and applied mathematics and engineering, as well as a source book for seminars.

This book is dedicated to the memory of Israel Gohberg (1928-2009) - one of the great mathematicians of our time - who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg's mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.

In this issue of Oral and Maxillofacial Surgery Clinics, guest editor Harry Dym brings his considerable expertise to the topic of Clinical Pharmacology for the Oral and Maxillofacial Surgeon. Top experts in the field cover key topics such as a review of sedation agents, acute pain management, and more. Contains 17 relevant, practice-oriented topics including Emergency Drugs for the Oral and Maxillofacial Surgeon Office; Update on Medications for Oral Sedation in the Oral and Maxillofacial Surgery Office; Pharmacologic Treatment for Tempromandibular and TMJ Disorders; and more. Provides in-depth clinical reviews on Clinical Pharmacology for the Oral and Maxillofacial Surgeon, offering actionable insights for clinical practice. Presents the latest information on this timely, focused topic under the leadership of experienced editors in the field. Authors synthesize and distill the latest research and practice guidelines to create clinically significant, topic-based reviews.

This issue of Dental Clinics of North America focuses on Implant Surgery Update for the General Practitioner, and is edited by Dr. Harry Dym. Articles will include: The Medically Complex Dental Implant Patient: Controversies with Respect to Systemic Disease and Dental Implant Success and Survival; Placement of Short Implants: A Viable Alternative?; Surgical Approaches to Implant Placement in the Vertically & Horizontally Challenged Ridge; Update on Maxillary Sinus Augmentation; Implant Surgery Update for the General Practitioner; How to Avoid Life Threatening Complications Associated with Implant Surgery; All-on-4 Implant Concept Update; An Update on the Treatment of Peri-implantitis; Soft Tissue Injury in Preparation for Implants; Update on Zygomatic Implants; Prosthodontic Principles in Dental Implantology: Adjustments in a COVID-19 Pandemic-battered Economy; Guided Implant Surgery: A Technique Whose Time Has Come; Implant Material Sciences; Immediate Implants and Immediate Loading: Current Concepts; An Update on Hard Tissue Grafting Materials; and more!

Integrated Mechanics Knowledge Essential for Any Engineer Introduction to Engineering Mechanics: A Continuum Approach, Second Edition uses continuum mechanics to showcase the connections between engineering structure and design and between solids and fluids and helps readers learn how to predict the effects of forces, stresses, and strains. The authors' "continuum checklist" provides a framework for a wide variety of problems in solid and fluid mechanics. The essence of continuum mechanics, the internal response of materials to external loading, is often obscured by the complex mathematics of its formulation. By gradually building the formulations from one-dimensional to two- and three-dimensional, the authors help students develop a physical intuition for solid and fluid behavior and for the very interesting behavior of those materials including many biomaterials, between these extremes. This text is an accessible first introduction to the mechanics of all engineering materials, and incorporates a wide range of case studies highlighting the relevance of the technical content in societal, historical, ethical, and global contexts. It also offers a useful perspective for engineers concerned with biomedical, civil, chemical, mechanical, or other applications. New in the Second Edition: The latest edition contains significantly more examples, problems, and case studies than the first edition. The 22 chapters in this text: Define and present the template for the continuum approach Introduce strain and stress in one dimension, develop a constitutive law, and apply these concepts to the simple case of an axially loaded bar Extend the concepts to higher dimensions by introducing the Poisson's ratio and strain and stress tensors Apply the continuum sense of solid mechanics to problems including torsion, pressure vessels, beams, and columns Make connections between solid and fluid mechanics, introducing properties of fluids and strain rate tensor Address fluid statics Consider applications in fluid mechanics Develop the governing equations in both control volume and differential forms Emphasize real-world design applications Introduction to Engineering Mechanics: A Continuum Approach, Second Edition provides a thorough understanding of how materials respond to loading: how solids deform and incur stress and how fluids flow. It introduces the fundamentals of solid and fluid mechanics, illustrates the mathematical connections between these fields, and emphasizes their diverse real-life applications. The authors also provide historical context for the ideas they describe and offer hints for future use.

This issue of Dental Clinics, edited by Harry Dym, focuses on Implant Procedures for the General Dentist. Articles will include: Basic principles of implant surgery, Maxillary sinus augmentation techniques, Surgical techniques for augmentation in the horizontally and vertically compromised alveolus, Autologous bone harvest sites, Bone morphogenic protein and its application to implant dentistry, Soft tissue augmentation for implant surgery, Immediate placement and immediate loading: Surgical technique and clinical pearls, Treatment of peri-implantitis and the failing implant, Implant related nerve injury, All on four techniques, CT-guided implant surgery, Short implants: Are they a viable option in implant dentistry?, Treatment planning for implant surgery, Surface material, implant design and osseointegration, Tissue response to implants, and more!

This monograph deals primarily with the prediction of vector valued stochastic processes that are either weakly stationary, or have weakly stationary increments, from finite segments of their past. The main focus is on the analytic counterpart of these problems, which amounts to computing projections onto subspaces of a Hilbert space of p x 1 vector valued functions with an inner product that is defined in terms of the p x p matrix valued spectral density of the process. The strategy is to identify these subspaces as vector valued de Branges spaces and then to express projections in terms of the reproducing kernels of these spaces and/or in terms of a generalized Fourier transform that is obtained from the solution of an associated inverse spectral problem. Subsequently, the projection of the past onto the future and the future onto the past is interpreted in terms of the range of appropriately defined Hankel operators and their adjoints, and, in the last chapter, assorted computations are carried out for rational spectral densities. The underlying mathematics needed to tackle this class of problems is developed in careful detail, but, to ease the reading, an attempt is made to avoid excessive generality. En route a number of results that, to the best of our knowledge, were only known for p = 1 are generalized to the case p > 1.

Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors' objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.

Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers.
The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making.
Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics.

* Serves as an introductory text on the development and application of mathematical models
* Focuses on techniques of particular interest to engineers, scientists, and others who model continuous systems
* Offers more than 360 problems, providing ample opportunities for practice
* Covers a wide range of interdisciplinary topics--from engineering to economics to the sciences
* Uses straightforward language and explanations that make modeling easy to understand and apply
New to this Edition:
* A more systematic approach to mathematical modeling, outlining ten specific principles
* Expanded and reorganized chapters that flow in an increasing level of complexity
* Several new problems and updated applications
* Expanded figure captions that provide more information
* Improved accessibility and flexibility for teaching

The ideas of Fourier have made their way into every branch of mathematics and mathematical physics, from the theory of numbers to quantum mechanics. Fourier Series and Integrals focuses on the extraordinary power and flexibility of Fourier's basic series and integrals and on the astonishing variety of applications in which it is the chief tool. It presents a mathematical account of Fourier ideas on the circle and the line, on finite commutative groups, and on a few important noncommutative groups. A wide variety of exercises are placed in nearly every section as an integral part of the text.

Dym, Little and Orwin's Engineering Design: A Project-Based Introduction, 4th Edition gets students actively involved with conceptual design methods and project management tools. The book helps students acquire design skills as they experience the activity of design by doing design projects. It is equally suitable for use in project-based first-year courses, formal engineering design courses, and capstone project courses.

This issue of Dental Clinics of North America focuses on Pharmacology and Therapeutics for the Dentist. Articles will include: Emergency Drugs for the Dental Office; Oral Sedation for Adult and Pediatric Dental Patients; Update on Analgesic Medication for Adult and Pediatric Dental Patients; Medication Management for TMD/TMJ Dental Patients; Medications and their Role in the Chronic Facial/Neuropathic Pain of Dental Patients; Medication Management for Xerostomia and Glossodynia in the Dental Patient; Update on Topical and Local Anesthesia Agents for Dental Patients; Current Concepts of Prophylactic Antibiotics for Dental Patients; Medication Management of Jaw Lesions for Dental Patients; Current Update on Antibiotic Therapy for Odontogenic Infections in Dental Patients; Review of Top 10 Prescribed Drugs and their Interaction with Dental Treatment; Botox: Review and Its Role in the Dental Office; Medication and the Gravid and Nursing Dental Patient; Conscious IV Sedation in Dentistry: A Review of Current Therapy; Medications to Assist in Tobacco Cessation for the Dental Patient; Topical and Systemic Drugs in the Treatment of Oral Ulcers for the Dental Patient, and more!

Guest Editors Orrett Ogle and Harry Dym present a comprehensive look at surgery of the nose and paranasal sinuses. Topics include surgical anatomy of the paranasal sinuses, instrumentation and techniques for examination of the ear, nose, throat and sinuses, imaging of the paranasal sinuses, microbiology of the paranasal sinuses, surgery of the paranasal sinuses, removal of parotid, submandibular and sublingual glands, oro-antral and oro-nasal fistulas, turbinectomy and surgery for nasal obstruction, cysts and benign tumors of paranasal sinuses, tonsillitis, peritoinsilar and lateral pharyngeal abscesses, and much more!

This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.