Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding.
The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.
These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.
This volume completes, starting from chapter 6, the commentary by the young Philoponus on Aristotle's Categories, of which chapters 1–5 were previously published in this series (Philoponus: On Aristotle Categories 1–5 with Philoponus: A Treatise Concerning the Whole and the Parts). This ancient commentary was the first work in the Aristotelian syllabus after a general introduction to Aristotle by the same author. It is influenced by an extant short anonymous record of Philoponus' teacher Ammonius' lectures on the same work, but Philoponus' commentary is two and a half times as long as that anonymous record, and includes special contributions of Philoponus' own, for example in philology, Christian theology and in disagreements with Aristotle. This English translation of Philoponus' work is the latest volume in the Ancient Commentators on Aristotle series and makes this philosophical work accessible to a modern readership. The translation is accompanied by an introduction, comprehensive commentary notes, bibliography, glossary of translated terms and a subject index.
Delegates to the convention examined Newfoundland's economy and society, and debated the merits of returning to responsible government (suspended in 1934) or joining the Canadian confederation. A number of public figures of the 1950s and 1960s came into prominence during the convention, most notably Joseph R. Smallwood, leader of the confederate group. This unique and remarkable historical document is a must for Commonwealth and Canadian specialists and research libraries.
Thoroughly revised, this third edition of Financial Management of Health Care Organizations offers an introduction to the most-used tools and techniques of health care financial management. Comprehensive in scope, the book covers a broad range of topics that include an overview of the health care system and evolving reimbursement methodologies; health care accounting and financial statements; managing cash, billings, and collections; the time value of money and analyzing and financing major capital investments; determining cost and using cost information in decision-making; budgeting and performance measurement; and pricing. In addition, this new edition includes information on new laws and regulations that affect health care financial reporting and performance, revenue cycle management expansion of health care services into new arenas, benchmarking, interest rate swaps, bond ratings, auditing, and internal control. This important resource also contains information on the 2007 Healthcare Audit Guide of the American Institute of Certified Public Accountants (AICPA). Written to be accessible, the book avoids complicated formulas. Chapter appendices offer advanced, in-depth information on the subject matter. Each chapter provides a detailed outline, a summary, and key terms, and includes problems in the context of real-world situations and events that clearly illustrate the concepts presented. Problem sets that end each chapter have been updated and expanded to support more in-depth learning of the chapters’ concepts. An Instructor’s Manual, available online, contains PowerPoint and Excel files.
The non-Newtonian calculi provide a wide variety of mathematical tools for use in science, engineering, and mathematics. They appear to have considerable potential for use as alternatives to the classical calculus of Newton and Leibniz. It may well be that these calculi can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.
DNA profiling—commonly known as DNA fingerprinting—is often heralded as unassailable criminal evidence, a veritable “truth machine” that can overturn convictions based on eyewitness testimony, confessions, and other forms of forensic evidence. But DNA evidence is far from infallible. Truth Machine traces the controversial history of DNA fingerprinting by looking at court cases in the United States and United Kingdom beginning in the mid-1980s, when the practice was invented, and continuing until the present. Ultimately, Truth Machine presents compelling evidence of the obstacles and opportunities at the intersection of science, technology, sociology, and law.
An introduction to the MFFOP and cost-of-failure based approaches to reliability analysis and its applications. For many production systems it is important to guarantee a small risk of violating specified minimum failure-free operating periods before random failures. This is dictated by the high cost of failure and the intervention for repair. Reliability and Risk Models describes radically new approaches for setting quantitative reliability requirements based on the cost of failure and specified minimum failure-free operating periods (MFFOP). The cost-of-failure based reliability analysis provides a real alternative to the current reliability analysis disconnected from the cost of failure. Beginning with a comprehensive introduction to reliability and risk analysis based on random variables, this book: Examines a new methodology for problem solving in the context of real reliability engineering problems. Demonstrates the new reliability methodology through a number of practical applications and case studies. Supplies the code of the algorithms which can be used for reliability analyses and setting quantitative reliability requirements. Gives a comprehensive overview of basic Monte Carlo simulation techniques and algorithms for solving reliability engineering problems. In addition, this book provides a comprehensive introduction to load-strength interference models for reliability and risk analysis by introducing the overstress reliability integral: a generalisation of the load-strength interference integral with the time included. Furthermore, an efficient model for determining the probability of failure of loaded components and structures with internal flaws is also presented. Reliability and Risk Models is essential reading for practising engineers, researchers and consultants dealing with reliability and risk assessment. Lecturers and graduate students involved in reliability engineering will also find it an excellent reference and it is a useful tool for actuaries, economists and lecturers in applied probability and statistics.
Do you know... - the difference between a chinaman and a doosra? - where to find cow corner, the V, and the corridor of uncertainty? - what Nelson, Merlyn and Michelle have to do with cricket? - how to get a ball to reverse-swing, or how the Duckworth/Lewis method works? - the origin of yorker, googly, and third man? The Wisden Dictionary of Cricket is the definitive guide to the noble game. This fully updated third edition is not only an A-Z guide to all things cricket, it also includes illustrations showing positions and strategy, and quotations from cricket literature worldwide - from 18th century match reports right up to the Darrell Hair affair. It will appeal to anyone with an interest in the game - from the seasoned aficionado to the youngest new recruit. If you've ever wondered why a batsman can expect a jaffa on a bunsen, or how to go aerial when you're on a shirtfront... this is the book for you.
Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.
The extensive use of little known electronic principles provides something like the Science of Electronics supplementing the Art of Electronics without involvement of too much theory. Whereas art can only be acquired by doing, the knowledge provided by science can be acquired from books. The ready availability of integrated circuits for practically any application reduces the art of electronics to the art of interfacing these integrated components. The practical knowledge required for that art can only be acquired by doing and not by reading. However, it takes a lot of knowledge to select the best integrated component for achieving a specific goal. Such knowledge is provided in this book. By using a holistic approach in the understanding of the various circuits and by taking ample advantage of the duality between the electrical quantities voltage and current, the understanding of the properties of electronic circuits is made easier. Besides, this approach reduces the amount of mathematics needed for a deeper understanding. Thus, this book is appropriate for scholars at the advanced undergraduate level. In particular, the important aspects of positive and negative feedback in circuits are presented in a compact way by introducing the reverse closed-loop-gain. It is quite clear that a single book cannot cover all aspects of both analog and digital electronics, the latter comprising all circuits needed for data manipulation in digital computers – which is a field in itself.
This book explains how each non-Newtonian calculus, as well as the classical calculus of Newton and Leibniz, can be 'weighted' in a natural way. In each of these weighted calculi, a weighted average (of functions) plays a central role. The weighted calculi provide a wide variety of mathematical tools for use in science, engineering, and mathematics. They appear to have considerable potential for use as alternatives to the classical calculus. It may well be that they can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.
SuperFractals, first published in 2006, is the successor to Fractals Everywhere, in which the power and beauty of Iterated Function Systems were introduced and applied to producing startling and original images that reflect complex structures found for example in nature. This provoked the question of whether there is a deeper connection between topology, geometry, IFS and codes on the one hand and biology, DNA and protein development on the other. Now, 20 years later, Barnsley explains how IFS have developed in order to address this issue. Ideas such as fractal tops and superIFS are introduced, and the classical deterministic approach is combined with probabilistic ideas to produce new mathematics and algorithms that open a whole theory that could have applications in computer graphics, bioinformatics, economics, signal processing and beyond. For the first time these ideas are explained in book form, and illustrated with breathtaking pictures.
Guides readers through the development of geometry and basic proof writing using a historical approach to the topic In an effort to fully appreciate the logic and structure of geometric proofs, Revolutions of Geometry places proofs into the context of geometry's history, helping readers to understand that proof writing is crucial to the job of a mathematician. Written for students and educators of mathematics alike, the book guides readers through the rich history and influential works, from ancient times to the present, behind the development of geometry. As a result, readers are successfully equipped with the necessary logic to develop a full understanding of geometric theorems. Following a presentation of the geometry of ancient Egypt, Babylon, and China, the author addresses mathematical philosophy and logic within the context of works by Thales, Plato, and Aristotle. Next, the mathematics of the classical Greeks is discussed, incorporating the teachings of Pythagoras and his followers along with an overview of lower-level geometry using Euclid's Elements. Subsequent chapters explore the work of Archimedes, Viete's revolutionary contributions to algebra, Descartes' merging of algebra and geometry to solve the Pappus problem, and Desargues' development of projective geometry. The author also supplies an excursion into non-Euclidean geometry, including the three hypotheses of Saccheri and Lambert and the near simultaneous discoveries of Lobachevski and Bolyai. Finally, modern geometry is addressed within the study of manifolds and elliptic geometry inspired by Riemann's work, Poncelet's return to projective geometry, and Klein's use of group theory to characterize different geometries. The book promotes the belief that in order to learn how to write proofs, one needs to read finished proofs, studying both their logic and grammar. Each chapter features a concise introduction to the presented topic, and chapter sections conclude with exercises that are designed to reinforce the material and provide readers with ample practice in writing proofs. In addition, the overall presentation of topics in the book is in chronological order, helping readers appreciate the relevance of geometry within the historical development of mathematics. Well organized and clearly written, Revolutions of Geometry is a valuable book for courses on modern geometry and the history of mathematics at the upper-undergraduate level. It is also a valuable reference for educators in the field of mathematics.
Throughout banking, mathematical techniques are used. Some of these are within software products or models; mathematicians use others to analyse data. The current literature on the subject is either very basic or very advanced. The Mathematics of Banking offers an intermediate guide to the various techniques used in the industry, and a consideration of how each one should be approached. Written in a practical style, it will enable readers to quickly appreciate the purpose of the techniques and, through illustrations, see how they can be applied in practice. Coverage is extensive and includes techniques such as VaR analysis, Monte Carlo simulation, extreme value theory, variance and many others. A practical review of mathematical techniques needed in banking which does not expect a high level of mathematical competence from the reader
A Q&A Approach to Organic Chemistry is a book of leading questions that begins with atomic orbitals and bonding. All critical topics are covered, including bonding, nomenclature, stereochemistry, conformations, acids and bases, oxidations, reductions, substitution, elimination, acyl addition, acyl substitution, enolate anion reactions, the Diels–Alder reaction and sigmatropic rearrangements, aromatic chemistry, spectroscopy, amino acids and proteins, and carbohydrates and nucleosides. All major reactions are covered. Each chapter includes end-of-chapter homework questions with the answer keys in an Appendix at the end of the book. This book is envisioned to be a supplementary guide to be used with virtually any available undergraduate organic chemistry textbook. This book allows for a "self-guided" approach that is useful as one studies for a coursework exam or as one reviews organic chemistry for postgraduate exams. Key Features: Allows a "self-guided tour" of organic chemistry Discusses all important areas and fundamental reactions of organic chemistry Classroom tested Useful as a study guide that will supplement most organic chemistry textbooks Assists one in study for coursework exams or allows one to review organic chemistry for postgraduate exams Includes 21 chapters of leading questions that covers all major topics and major reactions of organic chemistry
This is a book for those who enjoy thinking about how and why Nature can be described using mathematical tools. Approximating Perfection considers the background behind mechanics as well as the mathematical ideas that play key roles in mechanical applications. Concentrating on the models of applied mechanics, the book engages the reader in the types of nuts-and-bolts considerations that are normally avoided in formal engineering courses: how and why models remain imperfect, and the factors that motivated their development. The opening chapter reviews and reconsiders the basics of calculus from a fully applied point of view; subsequent chapters explore selected topics from solid mechanics, hydrodynamics, and the natural sciences. Emphasis is placed on the logic that underlies modeling in mechanics and the many surprising parallels that exist between seemingly diverse areas. The mathematical demands on the reader are kept to a minimum, so the book will appeal to a wide technical audience.
This is a non-calculus based circuit analysis text that can be offered in the first term. It could also be used by students as supplementary material for self study and as an additional source of information. Problem solutions are provided for all the problems in the book in order to provide the student with an extensive source of worked examples. Both DC and AC steady state circuit analysis are covered by introducing circuit analysis concepts with DC circuits containing sources and resistors using simpler math and then expanding the analysis to AC circuits containing sinusoidal sources, resistors, capacitors, and inductors using more complex math. Topics such as series, parallel, and series/parallel circuits, Ohm’s law, Kirchhoff’s voltage and current laws, voltage and current divider rules, superposition, Thevenin and Norton equivalent circuits, Pi-T circuit transformations, nodal voltage analysis method, frequency analysis, and Bode plots are covered. Visit author Facebook Page at: facebook.com/HMichaelThomas.Books
Robert Hooke (1635-1703) was a genius whose wide-ranging achievements are at last receiving the recognition that they deserve. Long overshadowed by such eminent contemporaries as Sir Isaac Newton and Sir Christopher Wren, Hooke's own seminal contributions to science, architecture and technology are now being acclaimed in their own right. Curator of Experiments to the Royal Society when it was chartered in 1662 and author of the famous Micrographia (1665), Hooke also showed unparalleled ingenuity in designing machines and instruments, and played a crucial role as Surveyor to the City of London after the Great Fire. This volume represents a benchmark in the study of Hooke, bringing together a comprehensive set of studies of different aspects of his life, thought and artistry. Its sections deal with Hooke's life and reputation; his contributions to celestial mechanics and astronomy, and to speculative natural philosophy; the instruments that he designed; and his work in architecture and construction. The introduction places the studies in the context of our current understanding of Hooke and his milieu, while the book also contains a comprehensive bibliography. In all, it will be an invaluable resource for all those interested in a figure whose complexity and importance are becoming clear after centuries of neglect.
This course book covers the compulsory core units of the 2010 BTEC First Engineering schemes from Edexcel. It gives full coverage of the common core units for the certificate/diploma (units one and two), plus the additional compulsory units for diploma students (units three and four), for all pathways.
This book contains a detailed account of the bigeometric calculus, a non-Newtonian calculus in which the power functions play the role that the linear functions play in the classical calculus of Newton and Leibniz. This nonlinear system provides mathematical tools for use in science, engineering, and mathematics. It appears to have considerable potential for use as an alternative to the classical calculus. It may well be that the bigeometric calculus can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.
Michael E. Webster's story begins in the Navy, where he becomes an aggressive alcoholic, managing to survive a series of episodes that should have been deadly. Still, he manages to graduate from two top Navy schools.After being discharged, Webster returns to his hometown, but he has no plans for the future. Through the help of family members, friends and others, he returns to school and meets future wife Peggy, who supports him through his many relapses into the dark throes of alcoholism.Webster finally realizes he's hit rock bottom, but not until others almost lose their lives. At the age of 33-overweight and out of shape-he joins a Tae Kwon Do school and begins a physically painful journey as he learns how to beat his addiction.For 30 years, Webster has continued his journey, and in the process, he's helped others to change their lives. He teaches martial arts at no cost to those needing discipline in their lives.Join Webster as he battles demons of his own making and journeys down a road to self-improvement in Surviving Life as a Dumbass.
Addressing a wide range of topics, from Newton to Post-Kuhnian philosophy of science, these essays critically examine themes that have been central to the influential work of philosopher Michael Friedman. Special focus is given to Friedman's revealing study of both history of science and philosophy in his work on Kant, Newton, Einstein, and other major figures. This interaction of history and philosophy is the subject of the editors' "manifesto" and serves to both explain and promote the essential ties between two disciplines usually regarded as unrelated.
There currently no books on the market that offer to teach FreeBSD to a novice. This book will be very attractive to the rushed and impatient, as well as to those who simply have a desire to learn the benefits of FreeBSD when compared to other proprietary operating systems. The book covers the most beneficial uses of FreeBSD, as well as the information needed to install and configure the operating system. This book will be the definitive tutorial reference for the growing FreeBSD market.
This book will introduce some of the mathematical concepts of Texas Hold'em Poker in an easily understood fashion.This book focuses on the facts of the game behind all the mathematics involved and helps you to develop a core foundation of skills to be able to play Texas Hold'em Poker more effectively.If you enjoy Texas Hold'em Poker enough to host your own game or you are considering managing your own tournament or league, there is a section dedicated to obtaining, developing and managing the resources you need to run it in a well organized fashion.First-time author Michael John Amazio invites you to learn some of the fundamentals of Texas Hold'em Poker in a way that will keep your interest from cover to cover.
This book is an easy read and designed to keep the reader captured through thought provoking common sense dialogue and real-life stories. This book discusses situations of every day life and provides a road map to become more successful. This book will provide the methods to make better decisions and the reasons why individuals must think about their path in life. It instructs and demonstrates how to be a better person, a better employee and/or a better manager. This book is an obvious gift choice for young adults to get them off to a great start in life or to improve their life. Grandparents will want to give this book to their grandchildren as a graduation gift. This book presents the best of the ethical and moral values that are considered universally accepted and desired by most individuals. This book could easily be found on the desk of any manager, teacher, parent or counselor.
An updated and thoroughly revised third edition of the foundational text offering an introduction to physics with a comprehensive interactive website The revised and updated third edition of Understanding Physics presents a comprehensive introduction to college-level physics. Written with today's students in mind, this compact text covers the core material required within an introductory course in a clear and engaging way. The authors – noted experts on the topic – offer an understanding of the physical universe and present the mathematical tools used in physics. The book covers all the material required in an introductory physics course. Each topic is introduced from first principles so that the text is suitable for students without a prior background in physics. At the same time the book is designed to enable students to proceed easily to subsequent courses in physics and may be used to support such courses. Relativity and quantum mechanics are introduced at an earlier stage than is usually found in introductory textbooks and are integrated with the more 'classical' material from which they have evolved. Worked examples and links to problems, designed to be both illustrative and challenging, are included throughout. The links to over 600 problems and their solutions, as well as links to more advanced sections, interactive problems, simulations and videos may be made by typing in the URL’s which are noted throughout the text or by scanning the micro QR codes given alongside the URL’s, see: http://up.ucc.ie This new edition of this essential text: Offers an introduction to the principles for each topic presented Presents a comprehensive yet concise introduction to physics covering a wide range of material Features a revised treatment of electromagnetism, specifically the more detailed treatment of electric and magnetic materials Puts emphasis on the relationship between microscopic and macroscopic perspectives Is structured as a foundation course for undergraduate students in physics, materials science and engineering Has been rewritten to conform with the revised definitions of SI base units which came into force in May 2019 Written for first year physics students, the revised and updated third edition of Understanding Physics offers a foundation text and interactive website for undergraduate students in physics, materials science and engineering.
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