This book is a collection of lectures delivered by the author at mathematics instrutional workshop and refresher courses. Topics covered include the spectral theorem for operators in the finite dimensional case, Lebesgue integration theory via the Daniell method, Fourier transform on R, solution of the Dirichlet problem for the potential equation in the plane by Perron's method...
This clear, concise and highly readable text is designed for a first course in linear algebra and is intended for undergraduate courses in mathematics. It focusses throughout on geometric explanations to make the student perceive that linear algebra is nothing but analytic geometry of n dimensions. From the very start, linear algebra is presented as an extension of the theory of simultaneous linear equations and their geometric interpretation is shown to be a recurring theme of the subject. The integration of abstract algebraic concepts with the underlying geometric notions is one of the most distinguishing features of this book — designed to help students in the pursuit of multivariable calculus and differential geometry in subsequent courses.Explanations and concepts are logically presented in a conversational tone and well-constructed writing style so that students at a variety of levels can understand the material and acquire a solid foundation in the basic skills of linear algebra.
Including Affine and projective classification of Conics, 2 point homogeneity's of the planes, essential isometrics, non euclidean plan geometrics, in this book, the treatment of Geometry goes beyond the Kleinian views.
Based on the authors’ combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles, and coming up with guesses or conjectures and then proving them rigorously based on his or her explorations. With more than 100 pictures, the book creates interest in real analysis by encouraging students to think geometrically. Each difficult proof is prefaced by a strategy and explanation of how the strategy is translated into rigorous and precise proofs. The authors then explain the mystery and role of inequalities in analysis to train students to arrive at estimates that will be useful for proofs. They highlight the role of the least upper bound property of real numbers, which underlies all crucial results in real analysis. In addition, the book demonstrates analysis as a qualitative as well as quantitative study of functions, exposing students to arguments that fall under hard analysis. Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this book explains the hows and whys of real analysis and provides guidance that makes readers think at every stage.
Based on the authors’ combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles, and coming up with guesses or conjectures and then proving them rigorously based on his or her explorations. With more than 100 pictures, the book creates interest in real analysis by encouraging students to think geometrically. Each difficult proof is prefaced by a strategy and explanation of how the strategy is translated into rigorous and precise proofs. The authors then explain the mystery and role of inequalities in analysis to train students to arrive at estimates that will be useful for proofs. They highlight the role of the least upper bound property of real numbers, which underlies all crucial results in real analysis. In addition, the book demonstrates analysis as a qualitative as well as quantitative study of functions, exposing students to arguments that fall under hard analysis. Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this book explains the hows and whys of real analysis and provides guidance that makes readers think at every stage.
This innovative, introductory text is authored by key subject leaders in clinical neuroendocrinology with decades of research and teaching experience. Addressing the need for a concise description of human neuroendocrine systems, this important review of various significant basic science advances is relevant for all levels of experience. An indispensable resource for a variety of learners, this book will also enable biomedical science graduate students to extend their knowledge using its valuable clinical context. Beautifully illustrated, this text integrates basic scientific principles with clinical cases and includes several illustrated imaging studies, and in-depth discussions of basic principles and their interpretations. Extensive reference lists of clinical papers, teaching resources and a selection of review questions are included with each chapter, emphasizing the real-life importance of basic neuroendocrine principles in human health and disease. Clinical reviews are included to provide convenient links to more specialized texts, ensuring a successful springboard for learners worldwide.
Digital Spectral Analysis offers a broad perspective of spectral estimation techniques and their implementation. Coverage includes spectral estimation of discrete-time or discrete-space sequences derived by sampling continuous-time or continuous-space signals. The treatment emphasizes the behavior of each spectral estimator for short data records and provides over 40 techniques described and available as implemented MATLAB functions. In addition to summarizing classical spectral estimation, this text provides theoretical background and review material in linear systems, Fourier transforms, matrix algebra, random processes, and statistics. Topics include Prony's method, parametric methods, the minimum variance method, eigenanalysis-based estimators, multichannel methods, and two-dimensional methods. Suitable for advanced undergraduates and graduate students of electrical engineering — and for scientific use in the signal processing application community outside of universities — the treatment's prerequisites include some knowledge of discrete-time linear system and transform theory, introductory probability and statistics, and linear algebra. 1987 edition.
This clear, concise and highly readable text is designed for a first course in linear algebra and is intended for undergraduate courses in mathematics. It focusses throughout on geometric explanations to make the student perceive that linear algebra is nothing but analytic geometry of n dimensions. From the very start, linear algebra is presented as an extension of the theory of simultaneous linear equations and their geometric interpretation is shown to be a recurring theme of the subject. The integration of abstract algebraic concepts with the underlying geometric notions is one of the most distinguishing features of this book — designed to help students in the pursuit of multivariable calculus and differential geometry in subsequent courses.Explanations and concepts are logically presented in a conversational tone and well-constructed writing style so that students at a variety of levels can understand the material and acquire a solid foundation in the basic skills of linear algebra.
Drivers behind food security and crop protection issues vis-à-vis the food losses caused by pests include rapid human population increase, climate change, loss of beneficial on-farm biodiversity, reduction in per capita cropped land, water shortages, and pesticide withdrawals. Integrated pest management, therefore, becomes a compulsory strategy in agriculture, which offers a 'toolbox' of complementary crop- and region-specific crop protection solutions to address these rising pressures. IPM aims at more sustainable solutions by using complementary technologies and one of them is the use of biopesticides including genetically modified cropping systems. The aim is to reduce pests below economic thresholds utilizing key 'ecological services', particularly biocontrol systems via semiochemicals, biopesticides, precision pest monitoring tools, and rapid diagnostics. In fact, we are facing twin problems of environment and food security for the expanding population and it is necessary to ensure adequate pesticide-free food. The ecofriendly nature of biopesticide products suggests environment protection and safety for natural enemies and non-target organisms. However, their adoption and use have lagged behind due to certain constraints like variable performance under field situations, lack of quality standards and interest by big industrial houses, and cumbersome regulatory procedures. The present book is an attempt to critically debate over all these issues and suggest a road map for future.
This is a pocket-sized companion to Sparks and Taylor’s Nursing Diagnosis Reference Manual, 9e. This book offers a quick guide to authoritative plans of care for the most up-to-date 2012-2014 NANDA International (NANDA-I) approved nursing diagnoses. A unique assessment framework and a consistent full color design and layout make the process of finding and using diagnoses quick and effective. See links between NANDA-I and the Nursing Interventions Classification (NIC) and Nursing Outcomes Classification(NOC) labels, and learn how these all fit together to provide patients with a global aspect of care. This book will be useful across nursing disciplines, throughout the student curriculum, and as a clinical nurse.
This completely revised and expanded Second Edition thoroughly examines tuberculosis from historical, theoretical, and clinical perspectives, including the most current discoveries. Containing 35 revised, rewritten, rearranged, and new chapters by nationally and internationally renowned experts, the updated Second Edition presents expande
This book introduces Probability Theory with R software and explains abstract concepts in a simple and easy-to-understand way by combining theory and computation. It discusses conceptual and computational examples in detail, to provide a thorough understanding of basic techniques and develop an enjoyable read for students seeking suitable material for self-study. It illustrates fundamental concepts including fields, sigma-fields, random variables and their expectations, various modes of convergence of a sequence of random variables, laws of large numbers and the central limit theorem. Computational exercises based on R software are included in each Chapter Includes a brief introduction to the basic functions of R software for beginners in R and serves as a ready reference Includes Numerical computations, simulation studies, and visualizations using R software as easy tools to explain abstract concepts Provides multiple-choice questions for practice Incorporates self-explanatory R codes in every chapter This textbook is for advanced students, professionals, and academic researchers of Statistics, Biostatistics, Economics and Mathematics.
Maize is one of the versatile emerging crops with wider adaptability under varied agro-climatic conditions. Globally, maize is known as queen of cereals because it has the highest genetic yield potential among the cereals. It is cultivated on nearly 150 m/ha in about 160 countries having wider diversity of soil, climate, biodiversity and management practices that contributes 36 % (782 m/t) in the global grain production. The United States of America (USA) is the largest producer of maize contributes nearly 35 % of the total production in the world. It is the driver of the US economy. This book talks about the improvement, production, protection and post harvest technology of the maize crop. Note: T& F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
“JAYALALITHAA WEALTH CASE: TRIAL COURT JUDGEMENT” (VOLUME ONE)” : This is a digitised, unabridged, and the original version of Jayalalithaa Wealth Case. Miss. Jayalalithaa, the six-times Chief Minister of Tamil Nadu, India, was accused of misusing her office during her first tenure i.e. 1991-96. Thereafter she and three others were charged over amassing properties worth nearly 66 crore INR; 3000 acres worth assets inclusive of farm houses and bungalows, agricultural lands and private firms, vineyards and tea estates in Tamil Nadu and Hyderabad; moveable assets included 800 kg silver, 28 kg gold, 750 pair of shoes, 10,500 saris, 91 watches, and other valuables. The Karnataka Trial Court Judgement ended in their conviction on 27th September 2014; the High Court of Karnataka acquitted all of them from all the charges through its judgement on 11th May 2015; ironically “the Sword of Damocles” fell on Jayalalithaa (after her death on 6/12/2016) and three others through the Judgement of Supreme Court of India on 15th February 2017 in which the order, the conviction, and the sentence of the trial court was restored in full and the judgement of Karnataka High Court was set-aside. While the appeals relate to Miss. Jayalalithaa, she having expired meanwhile, stand abated, the remaining three accused are to meet the cold hands of Justice. This series of Judgements of Trial Court, High Court, and Supreme Court expose the finer aspects of this protracted litigation involving high profile people in the annals of Indian Legal History.
The concept that hormones influence tumor growth originated in 1889 with the proposal of Albert Schinzinger who suggested that breast cancer is related to the ovaries. Several years later, Sir George Beatson observed that remission of disseminated breast cancer could be achieved in premenopausal patients by performing bilateral oophorectomy. As a result of the contri butions of Hedley Atkins, Charles Huggins and others, additive and ablative hormonal therapies have been widely used for the treatment of advanced breast cancers for several decades. Model systems to study the effects of hormones on growth and regression of breast tumors have been available for many years; however, the complexities of the hormonal environment have rendered in vivo studies difficult in man and experimental animals. Recently, the availability of long-term cultures of breast cancer cells has stimulated many investigators to use these cell lines to unravel the mechanisms of hormone action. Because of the extreme diversity and complexity of advances regarding the endocrinology of the breast and breast cancers, a multi-authored review was deemed necessary. It has been gratifying to receive contributions from many noted scholars. In Volume I of this monograph, the influence of steroid hormones and their antagonists upon normal and neoplastic tissues of the mammary gland are presented. In Volume II, the effects of peptide and other hormones are reviewed.
Explore the Health Effects of Fluoride PollutionFluoride in Drinking Water: Status, Issues, and Solutions establishes the negative impacts of naturally occurring fluoride on human health and considers the depth and scope of fluoride pollution on an international scale. The book discusses current global water quality and fluoride-related issues and
This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. The goal is to present the basics of metric spaces in a natural and intuitive way and encourage students to think geometrically while actively participating in the learning of this subject. In this book, the authors illustrated the strategy of the proofs of various theorems that motivate readers to complete them on their own. Bits of pertinent history are infused in the text, including brief biographies of some of the central players in the development of metric spaces. The textbook is divided into seven chapters that contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications. Some of the noteworthy features of this book include · Diagrammatic illustrations that encourage readers to think geometrically · Focus on systematic strategy to generate ideas for the proofs of theorems · A wealth of remarks, observations along with a variety of exercises · Historical notes and brief biographies appearing throughout the text
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