Abstract Algebra: An Inquiry-Based Approach, Second Edition not only teaches abstract algebra, but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The second edition of this unique, flexible approach builds on the success of the first edition. The authors offer an emphasis on active learning, helping students learn algebra by gradually building both their intuition and their ability to write coherent proofs in context. The goals for this text include: Allowing the flexibility to begin the course with either groups or rings. Introducing the ideas behind definitions and theorems to help students develop intuition. Helping students understand how mathematics is done. Students will experiment through examples, make conjectures, and then refine or prove their conjectures. Assisting students in developing their abilities to effectively communicate mathematical ideas. Actively involving students in realizing each of these goals through in-class and out-of-class activities, common in-class intellectual experiences, and challenging problem sets. Changes in the Second Edition Streamlining of introductory material with a quicker transition to the material on rings and groups. New investigations on extensions of fields and Galois theory. New exercises added and some sections reworked for clarity. More online Special Topics investigations and additional Appendices, including new appendices on other methods of proof and complex roots of unity. Encouraging students to do mathematics and be more than passive learners, this text shows students the way mathematics is developed is often different than how it is presented; definitions, theorems, and proofs do not simply appear fully formed; mathematical ideas are highly interconnected; and in abstract algebra, there is a considerable amount of intuition to be found.
An accessible and practical introduction to wavelets With applications in image processing, audio restoration, seismology, and elsewhere, wavelets have been the subject of growing excitement and interest over the past several years. Unfortunately, most books on wavelets are accessible primarily to research mathematicians. Discovering Wavelets presents basic and advanced concepts of wavelets in a way that is accessible to anyone with only a fundamental knowledge of linear algebra. The basic concepts of wavelet theory are introduced in the context of an explanation of how the FBI uses wavelets to compress fingerprint images. Wavelet theory is further developed in the setting of function spaces. The book then moves on to present more advanced topics such as filters, multiresolution analysis, Daubechies' wavelets, and further applications. The book concludes with a series of projects and problems that introduce advanced topics and offer starting points for research. Sample projects that demonstrate real wavelet applications include image compression, a wavelet-based search engine, processing with Daubechies' wavelets, and more. Among the special features of Discovering Wavelets are: * Real-life, hands-on examples that involve actual wavelet applications * A companion Web site containing Pixel Images software and Maple files to be used with the projects in the book * Challenging problems that reinforce and expand on the ideas being developed * An appendix containing the linear algebra needed to understand wavelets as presented in the book
Abstract Algebra: An Inquiry-Based Approach, Second Edition not only teaches abstract algebra, but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The second edition of this unique, flexible approach builds on the success of the first edition. The authors offer an emphasis on active learning, helping students learn algebra by gradually building both their intuition and their ability to write coherent proofs in context. The goals for this text include: Allowing the flexibility to begin the course with either groups or rings. Introducing the ideas behind definitions and theorems to help students develop intuition. Helping students understand how mathematics is done. Students will experiment through examples, make conjectures, and then refine or prove their conjectures. Assisting students in developing their abilities to effectively communicate mathematical ideas. Actively involving students in realizing each of these goals through in-class and out-of-class activities, common in-class intellectual experiences, and challenging problem sets. Changes in the Second Edition Streamlining of introductory material with a quicker transition to the material on rings and groups. New investigations on extensions of fields and Galois theory. New exercises added and some sections reworked for clarity. More online Special Topics investigations and additional Appendices, including new appendices on other methods of proof and complex roots of unity. Encouraging students to do mathematics and be more than passive learners, this text shows students the way mathematics is developed is often different than how it is presented; definitions, theorems, and proofs do not simply appear fully formed; mathematical ideas are highly interconnected; and in abstract algebra, there is a considerable amount of intuition to be found.
An accessible and practical introduction to wavelets With applications in image processing, audio restoration, seismology, and elsewhere, wavelets have been the subject of growing excitement and interest over the past several years. Unfortunately, most books on wavelets are accessible primarily to research mathematicians. Discovering Wavelets presents basic and advanced concepts of wavelets in a way that is accessible to anyone with only a fundamental knowledge of linear algebra. The basic concepts of wavelet theory are introduced in the context of an explanation of how the FBI uses wavelets to compress fingerprint images. Wavelet theory is further developed in the setting of function spaces. The book then moves on to present more advanced topics such as filters, multiresolution analysis, Daubechies' wavelets, and further applications. The book concludes with a series of projects and problems that introduce advanced topics and offer starting points for research. Sample projects that demonstrate real wavelet applications include image compression, a wavelet-based search engine, processing with Daubechies' wavelets, and more. Among the special features of Discovering Wavelets are: * Real-life, hands-on examples that involve actual wavelet applications * A companion Web site containing Pixel Images software and Maple files to be used with the projects in the book * Challenging problems that reinforce and expand on the ideas being developed * An appendix containing the linear algebra needed to understand wavelets as presented in the book
Healthy Past 100 was written explicitly for those longing to be extraordinarily healthy—even past their 100th birthday. This breakthrough book is based on thousands of cutting-edge science articles identifying the causes of optimal health vs sickness and disease. Healthy Past 100 puts a wealth of cutting-edge, science-based healthcare information at your fingertips, empowering you to make the healthiest choices for you and your family. Healthy Past 100 is several books in one, and it also contains a mouthwatering keto cookbook that's exclusively based on the most nourishing ingredients you can consume. This life-changing book is based on the Short List, i.e., a distillation of the core factors involved in being healthy past 100. The Short List includes: The Metabolic Masterplan Diet: the Metabolic Masterplan Diet may be the world's most advanced ketogenic diet. Nothing improves your health as much as following this research-based, anti-inflammatory, gut-healing ketogenic diet. Nutrition and Supplements: providing your cells with all the nutrients they require to function optimally is key to a long, healthy life. Healthy Past 100 shows you exactly which nutrients you need and which ones to supplement with. Metabolism: carbohydrates and sugar damage your metabolism (the process of creating energy in your cells), causing serious health issues. Healthy Past 100 teaches you to heal and optimize your metabolism, and which tests to rely on to know—not guess—that your metabolism is as healthy as can be. Chronic Inflammation: this widespread health issue underlies all diseases, and must be healed to experience optimal health. Healthy Past 100 rids you of chronic inflammation—now and forever—paving the way to lasting health. Gut Health: most humans deal with significant gut issues. Fortunately, Healthy Past 100's innovative gut healing method leads to lifelong optimized gut health. Psychology: psychology is how you think, feel, act, behave and respond to life's circumstances. Healthy Past 100 provides the tools to heal and optimize your psychology, which is foundational to a healthy, fulfilling life. Thyroid Physiology: inefficient thyroid physiology impairs your body and mind, zaps your energy and causes many diseases. Healthy Past 100 explains how thyroid physiology works, how to heal it, and the tests determining if it's in tip-top shape. Exercise: crucial to your health and well-being, exercise must be performed regularly. Healthy Past 100 teaches you which exercises help you become healthy past 100. Detoxification: humans are routinely exposed to dangerous heavy metal toxins. Healthy Past 100 shows you how to rid these harmful metals from your body and minimize your exposure to them in the future. Oxidative Stress: oxidative stress is a primary cause of aging, sickness, disease and death. It has many causes, including carbohydrates, sugar, poor nutrition and impaired gut health. Healthy Past 100 helps you optimize oxidative stress where it matters most: within the mitochondria in your cells. Spiritual/Religious Life: extraordinary health stems from optimal physical, psychological and spiritual well-being. It's just as important to focus on your spiritual fitness as it is to heal your physical body, and Healthy Past 100 helps you do both. This pioneering book has been written to help you experience extraordinary health past your 100th birthday. If you're ready to be healthy past 100, this is the book you've been waiting for!
After 30 years, Obstetrics: Normal and Problem Pregnancies remains your go-to choice for authoritative guidance on managing today’s obstetric patient. International experts put the latest knowledge in this specialty at your fingertips, with current and relevant information on everything from fetal origins of adult disease, to improving global maternal health, to important topics in day-to-day obstetrical practice. Highly readable, well-illustrated, and easy to understand, this bestselling obstetrics reference is an ideal tool for residents and clinicians. Take advantage of the collective wisdom of global experts in the field, including two new editors— Drs. Vincenzo Berghella and William Grobman -- and nearly 30 new contributors. Gain a new perspective on a wide range of today's key issues - all evidence-based and easy to read. Sweeping updates throughout including four new chapters: ‘Vaginal Birth after Cesarean Delivery’; ‘Placenta Accreta’; ‘Obesity’; and ‘Improving Global Maternal Health: Challenges and Opportunities’ New Glossary of the most frequently used key abbreviations for easy reference Expanded use of bolded statements and key points as well as additional tables, flow diagrams, and bulleted lists facilitates and enhances the mastery of each chapter More than 100 images in the Obstetrical Ultrasound chapter provide an important resource for normal and abnormal fetal anatomy
What chemicals are poisonous to the heart and why are they toxic? Find out by reading Principles of Cardiac Toxicology. Certain chemicals can produce toxicity by interacting with elements of the cardiovascular system. This book presents the anatomical, physiological, biochemical, and pathological basis for this interaction and describes the
The first three editions of this popular textbook attracted a loyal readership and widespread use. Students find the book to be concise, accessible, and complete. Instructors find the book to be clear, authoritative, and dependable. The goal of this new edition is to make real analysis relevant and accessible to a broad audience of students with diverse backgrounds. Real analysis is a basic tool for all mathematical scientists, ranging from mathematicians to physicists to engineers to researchers in the medical profession. This text aims to be the generational touchstone for the subject and the go-to text for developing young scientists. In this new edition we endeavor to make the book accessible to a broader audience. This edition includes more explanation, more elementary examples, and the author stepladders the exercises. Figures are updated and clarified. We make the sections more concise, and omit overly technical details. We have updated and augmented the multivariable material in order to bring out the geometric nature of the topic. The figures are thus enhanced and fleshed out. Features A renewed enthusiasm for the topic comes through in a revised presentation A new organization removes some advanced topics and retains related ones Exercises are more tiered, offering a more accessible course Key sections are revised for more brevity
Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics. Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how geometric ideas may be studied analytically. Featuring a user-friendly approach, the book contains copious examples and plenty of figures to illustrate the ideas presented. It also includes an appendix with the technical tools needed to understand certain arguments in the book, a tale of notation, and a thorough glossary to help readers with unfamiliar terms. This book is a definitive introductory text to the concept of convexity in the context of mathematical analysis and a suitable resource for students and faculty alike.
The Elements of Advanced Mathematics, Fourth Edition is the latest edition of the author’s bestselling series of texts. Expanding on previous editions, the new Edition continues to provide students with a better understanding of proofs, a core concept for higher level mathematics. To meet the needs of instructors, the text is aligned directly with course requirements. The author connects computationally and theoretically based mathematics, helping students develop a foundation for higher level mathematics. To make the book more pertinent, the author removed obscure topics and included a chapter on elementary number theory. Students gain the momentum to further explore mathematics in the real world through an introduction to cryptography. These additions, along with new exercises and proof techniques, will provide readers with a strong and relevant command of mathematics. Presents a concise presentation of the material Covers logic, sets and moves to more advanced topics including topology Provides greater coverage of number theory and cryptography Streamlined to focus on the core of this course
Krantz is a very prolific writer. He creates excellent examples and problem sets."-Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USADesigned for a one- or two-semester undergraduate course, Differential Equations: Theory, Technique and Practice, Second Edition educa
Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a single course where two were offered. The text opens with an introduction to basic logic and set theory, setting students up to succeed in the study of analysis. Each section is followed by graduated exercises that both guide and challenge students. The author includes examples and illustrations that appeal to the visual side of analysis. The accessible structure of the book makes it an ideal refence for later years of study or professional work. Combines the author’s previous works Elements of Advanced Mathematics with Foundations of Analysis Combines logic, set theory and other elements with a one-semester introduction to analysis. Author is a well-known mathematics educator and researcher Targets a trend to combine two courses into one
Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our world is driven by mathematics in all aspects of life. The book is an excellent introduction to the world of mathematics for students not majoring in mathematical studies. The author has written this book in an enticing, rich manner that will engage students and introduce new paradigms of thought. Careful readers will develop critical thinking skills which will help them compete in today’s world. The book explains: What goes behind a Google search algorithm How to calculate the odds in a lottery The value of Big Data How the nefarious Ponzi scheme operates Instructors will treasure the book for its ability to make the field of mathematics more accessible and alluring with relevant topics and helpful graphics. The author also encourages readers to see the beauty of mathematics and how it relates to their lives in meaningful ways.
Highly readable, well illustrated, and easy to understand, Obstetrics: Normal and Problem Pregnancies remains your go-to choice for authoritative guidance on managing today's obstetric patient. Reflecting the expertise of internationally recognized authorities, this bestselling obstetrics reference has been thoroughly revised to bring you up to date on everything from ultrasound assessment of fetal anatomy and growth, to medical complications in pregnancy, to fetal therapy...and much more! 'An excellent reference for residents and fellows in training alike' Reviewed by: Obstetrics and Prenatal Diagnosis Unit, Landspitali University Hospital/University of Iceland Date: December 2014 Benefit from the knowledge and experience of international experts in obstetrics. Gain a new perspective on a wide range of today's key issues - all evidence-based and easy to read. Stay current with new coverage of fetal origins of adult disease, evidence-based medicine, quality assessment, nutrition, global obstetric practices, and much more. Find the information you need quickly with bolded key statements, additional tables, flow diagrams, and bulleted lists for easy reference. Zero in on "Key Points" in every chapter - now made more useful than ever with the inclusion of related statistics. View new ultrasound nomograms in the Normal Values in Pregnancy appendix. Access the complete contents online, plus exclusive references, tables, and images, at www.expertconsult.com.
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