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This text aims to differentiate itself from other business statistics texts in two important ways. It seeks: to present the material in a non-technical manner to make it easier for a student with limited mathematical background to grasp the subject matter; and to develop an intuitive understanding of the techniques by framing them in the context of a management question, giving layman-type explanations of methods, using illustrative business examples and focusing on the management interpretations of the statistical findings. This further edition continues the theme of using Excel as a computational tool to perform statistical analysis. While all statistical functions have been adjusted to the Excel (2013) format, the statistical output remains unchanged. Using Excel to perform the statistical analysis in this text allows a student: To examine more realistic business problems with larger datasets; To focus more on the statistical interpretation of the statistical findings; and to transfer this skill of performing statistical analysis more easily to the work environment. Its overall purpose is to develop a management student's statistical reasoning and statistical decision-making skills to give him or her a competitive advantage in the workplace.
How an unknown German and an Englishman on opposite sides of WWI created a scientific revolution In 1916, Arthur Eddington, a war-weary British astronomer, opened a letter written by an obscure German professor named Einstein. The neatly printed equations on the scrap of paper outlined his world-changing theory of general relativity. Until then, Einstein's masterpiece of time and space had been trapped behind the physical and ideological lines of battle, unknown. Many Britons were rejecting anything German, but Eddington realized the importance of the letter: perhaps Einstein's esoteric theory could not only change the foundations of science but also lead to international co-operation in a time of brutal war. Few recognize how the Great War, the industrialized slaughter that bled Europe from 1914 to 1918, shaped Einstein's life and work. While Einstein never held a rifle, he formulated general relativity blockaded in Berlin, literally starving. His name is now synonymous with 'genius', but it was not an easy road. This was, after all, the first complete revision of our conception of the universe since Isaac Newton. Its victory was far from sure. Einstein spent a decade creating relativity and his ascent to global celebrity, which saw him on front pages around the world, also owed much to against-the-odds international collaboration, including Eddington's crucial, globe-spanning expedition of 1919 - which was still two years before they finally met - to catch a fleeting solar eclipse for a rare opportunity to confirm Einstein's bold prediction that light has weight. We usually think of scientific discovery as a flash of individual inspiration, but here we see it is the result of hard work, gambles and wrong turns. Einstein's War is a celebration of how bigotry and nationalism can be defeated and of what science can offer when they are. Using previously unknown sources and written like a thriller, it sheds light on science through history: we see relativity built brick-by-brick in front of us, as it happened 100 years ago.
Mathematics for Economists, a new text for advanced undergraduate and beginning graduate students in economics, is a thoroughly modern treatment of the mathematics that underlies economic theory. An abundance of applications to current economic analysis, illustrative diagrams, thought-provoking exercises, careful proofs, and a flexible organisation-these are the advantages that Mathematics for Economists brings to today's classroom.
Written by highly experienced author Stephen Doyle, and entered into the WJEC official endorsement process, this student book offers high quality support you can trust. // Designed to support and motivate students throughout the course and help them thoroughly prepare for their exams. // Provides thorough coverage of all the topics in the AS Level Applied specification and includes Test Yourself and Grade Boost advice to help students achieve their potential. // Knowledge, understanding and skills are developed throughout. // Provides extra support for the new problem solving and unstructured questions in the specification with a "Step by Step" feature. // Plenty of examples with worked answers throughout to enable students to check their understanding as they progress through the course. // Includes answers to questions so students are able to check their work at all times. // Exam practice questions provide extra opportunities for students to refine their exam skills.
This modern text combines fundamental principles with advanced topics and recent techniques in a rigorous and self-contained treatment of quantum field theory. Beginning with a review of basic principles, starting with quantum mechanics and special relativity, students can refresh their knowledge of elementary aspects of quantum field theory and perturbative calculations in the Standard Model. Results and tools relevant to many applications are covered, including canonical quantization, path integrals, non-Abelian gauge theories, and the renormalization group. Advanced topics are explored, with detail on effective field theories, quantum anomalies, stable extended field configurations, lattice field theory, and field theory at a finite temperature or in the strong field regime. Two chapters are dedicated to new methods for calculating scattering amplitudes (spinor-helicity, on-shell recursion, and generalized unitarity) equipping students with practical skills for research. Accessibly written, with numerous worked examples and end-of-chapter problems, this is an essential text for graduate students. The breadth of coverage makes it an equally excellent reference for researchers.
The story of relativity - showing how science really works, and how Einstein became famous In 1916, Arthur Eddington, a war-weary British astronomer, opened a letter written by an obscure German professor named Einstein. The neatly printed equations on the scrap of paper outlined his world-changing theory of general relativity. Until then, Einstein's masterpiece of time and space had been trapped behind the physical and ideological lines of battle, unknown. Many Britons were rejecting anything German, but Eddington realized the importance of the letter: perhaps Einstein's esoteric theory could not only change the foundations of science but also lead to international co-operation in a time of brutal war. Einstein's name is now synonymous with 'genius', but it was not an easy road. He spent a decade creating relativity and his ascent to global celebrity, which saw him on front pages around the world, also owed much to against-the-odds international collaboration, including Eddington's crucial expedition of 1919 -- which was still two years before they finally met. We usually think of scientific discovery as a flash of individual inspiration, but here we see it is the result of hard work, gambles and wrong turns -- in this case subject to the petty concerns of nations, religions and individuals. Einstein's War is a moving human story of a pair on opposite sides of history who came together for science. It sheds light on science through history, and the physics is more accessible as a result: we see relativity built brick-by-brick in front of us, as it happened 100 years ago.
Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to vectors. Examples and focused applications are well presented along with an abundance of motivating exercises. The approaches taken to topics such as the derivation of the derivatives of sine and cosine, the approach to limits and the use of "tables" of integration have been modified from the standards seen in other textbooks in order to maximize the ease with which students may comprehend the material. Additionally, the material presented is intentionally non-specific to any software or hardware platform in order to accommodate the wide variety and rapid evolution of tools used. Technology is referenced in the text and is required for a good number of problems.
This authoritative volume by a renowned Russian scientist offers
advanced students a thorough background in theoretical physics. The
treatment's review of basic methods takes an approach that's as
rigorous and systematic as it is practical.
Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, 4e, International Edition provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses.
Practical, readable volume offers advanced undergraduates and beginning graduate students the essential mathematical tools required for thorough comprehension of their disciplines. Topics cover elementary vector calculus, special functions of mathematical physics, calculus of variations, curve fitting and numerical approximation methods, and much more. Rather than aiming at complete mastery of these complicated subjects, the text focuses on the fundamental applied mathematics needed by students to deal with physics and engineering problems. An excellent self-contained study resource. 1968 ed.
The subject of this thesis is the Mu-calculus, which nowadays represents a very active research area in both theoretical and practical Computer Science. The Mu-calculus is a logic capable of expressing least and greatest solutions of fixpoint equations x=f(x), where f is a monotone function mapping some complete ordered set into itself. The thesis has two goals, one expository and one technical. The expository goal is to present some results and problems about the Mu-calculus. On the technical respect, this thesis addresses a specific expressiveness problem of the Mu-calculus, the alternation depth hierarchy problem.
"Blackwell Publishing is delighted to announce that this book has
been Highly Commended in the 2004 BMA Medical Book Competition.
Here is the judges' summary of this book: "
""This is a technical book on a technical subject but presented
in a delightful way. There are many books on statistics for doctors
but there are few that are excellent and this is certainly one of
them. Statistics is not an easy subject to teach or write about.
The authors have succeeded in producing a book that is as good as
it can get. For the keen student who does not want a book for
mathematicians, this is an excellent first book on medical
"Essential Medical Statistics" is a classic amongst medical
statisticians. An introductory textbook, it presents statistics
with a clarity and logic that demystifies the subject, while
providing a comprehensive coverage of advanced as well as basic
The second edition of "Essential Medical Statistics" has been
comprehensively revised and updated to include modern statistical
methods and modern approaches to statistical analysis, while
retaining the approachable and non-mathematical style of the first
edition. The book now includes full coverage of the most commonly
used regression models, multiple linear regression, logistic
regression, Poisson regression and Cox regression, as well as a
chapter on general issues in regression modelling. In addition, new
chapters introduce more advanced topics such as meta-analysis,
likelihood, bootstrapping and robust standard errors, and analysis
of clustered data.
Aimed at students of medical statistics, medical researchers,
public health practitioners andpractising clinicians using
statistics in their daily work, the book is designed as both a
teaching and a reference text. The format of the book is clear with
highlighted formulae and worked examples, so that all concepts are
presented in a simple, practical and easy-to-understand way. The
second edition enhances the emphasis on choice of appropriate
methods with new chapters on strategies for analysis and measures
of association and impact.
"Essential Medical Statistics" is supported by a web site at www.blackwellpublishing.com/essentialmedstats. This useful online resource provides statistical datasets to download, as well as sample chapters and future updates.
Reflecting the latest technology and tools of the trade, MATHEMATICS FOR MACHINE TECHNOLOGY, 7e provides the mathematical skills and practice that students and apprentices will use on the job in the machine trades and manufacturing fields. This comprehensive book combines math concepts with relevant machine applications through industry-specific examples, realistic illustrations, and actual machine applications. Problems and examples progress from simpler to more complex, from general math to trigonometry and solid geometry, and relate directly to how the math is used in machine trades and manufacturing fields. The new Seventh Edition also includes all-new units on electronic calipers, height gages, and electronic micrometers, as well as thorough coverage of measuring in both metric and customary systems.
Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content. Published nearly forty years after the first edition, this long-awaited Second Edition also: Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 < p < 2 Shows the Hilbert transform to be a bounded operator on L2, as an application of the L2 theory of the Fourier transform in the one-dimensional case Covers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of Hoelder continuous functions and the space of functions of bounded mean oscillation Derives a subrepresentation formula, which in higher dimensions plays a role roughly similar to the one played by the fundamental theorem of calculus in one dimension Extends the subrepresentation formula derived for smooth functions to functions with a weak gradient Applies the norm estimates derived for fractional integral operators to obtain local and global first-order Poincare-Sobolev inequalities, including endpoint cases Proves the existence of a tangent plane to the graph of a Lipschitz function of several variables Includes many new exercises not present in the first edition This widely used and highly respected text for upper-division undergraduate and first-year graduate students of mathematics, statistics, probability, or engineering is revised for a new generation of students and instructors. The book also serves as a handy reference for professional mathematicians.
This user-friendly textbook introduces complex analysis at the beginning graduate or advanced undergraduate level. Unlike other textbooks, it follows Weierstrass' approach, stressing the importance of power series expansions instead of starting with the Cauchy integral formula, an approach that illuminates many important concepts. This view allows readers to quickly obtain and understand many fundamental results of complex analysis, such as the maximum principle, Liouville's theorem, and Schwarz's lemma. The book covers all the essential material on complex analysis, and includes several elegant proofs that were recently discovered. It includes the zipper algorithm for computing conformal maps, as well as a constructive proof of the Riemann mapping theorem, and culminates in a complete proof of the uniformization theorem. Aimed at students with some undergraduate background in real analysis, though not Lebesgue integration, this classroom-tested textbook will teach the skills and intuition necessary to understand this important area of mathematics.
Derived from a course in fluid mechanics, this text for advanced
undergraduates and beginning graduate students employs symmetry
arguments to demonstrate the principles of dimensional analysis.
The examples provided illustrate the effectiveness of symmetry
arguments in obtaining the mathematical form of the functions
yielded by dimensional analysis. Students will find these methods
applicable to a wide field of interests.
For one-semester courses in Finite Mathematics. Helps students "get the idea." Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th Edition offers more built-in guidance than any other text for this course - with special emphasis on applications and prerequisite skills - and a host of student-friendly features to help students catch up or learn on their own. The text's emphasis on helping students "get the idea" is enhanced in the new edition by a design refresh, updated data and applications, and a robust MyLab (TM) Math course. Also available with MyLab Math MyLab (TM) Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.
More physicists today are taking on the role of software developer as part of their research, but software development isn't always easy or obvious, even for physicists. This practical book teaches essential software development skills to help you automate and accomplish nearly any aspect of research in a physics-based field. Written by two PhDs in nuclear engineering, this book includes practical examples drawn from a working knowledge of physics concepts. You'll learn how to use the Python programming language to perform everything from collecting and analyzing data to building software and publishing your results.In four parts, this book includes: Getting Started: Jump into Python, the command line, data containers, functions, flow control and logic, and classes and objects Getting It Done: Learn about regular expressions, analysis and visualization, NumPy, storing data in files and HDF5, important data structures in physics, computing in parallel, and deploying software Getting It Right: Build pipelines and software, learn to use local and remote version control, and debug and test your code Getting It Out There: Document your code, process and publish your findings, and collaborate efficiently; dive into software licenses, ownership, and copyright procedures
This textbook is a comprehensive introduction to the key disciplines of mathematics - linear algebra, calculus, and geometry - needed in the undergraduate physics curriculum. Its leitmotiv is that success in learning these subjects depends on a good balance between theory and practice. Reflecting this belief, mathematical foundations are explained in pedagogical depth, and computational methods are introduced from a physicist's perspective and in a timely manner. This original approach presents concepts and methods as inseparable entities, facilitating in-depth understanding and making even advanced mathematics tangible. The book guides the reader from high-school level to advanced subjects such as tensor algebra, complex functions, and differential geometry. It contains numerous worked examples, info sections providing context, biographical boxes, several detailed case studies, over 300 problems, and fully worked solutions for all odd-numbered problems. An online solutions manual for all even-numbered problems will be made available to instructors.
A practical introduction to intelligent computer vision theory, design, implementation, and technology The past decade has witnessed epic growth in image processing and intelligent computer vision technology. Advancements in machine learning methods especially among adaboost varieties and particle filtering methods have made machine learning in intelligent computer vision more accurate and reliable than ever before. The need for expert coverage of the state of the art in this burgeoning field has never been greater, and this book satisfies that need. Fully updated and extensively revised, this 2nd Edition of the popular guide provides designers, data analysts, researchers and advanced post-graduates with a fundamental yet wholly practical introduction to intelligent computer vision. The authors walk you through the basics of computer vision, past and present, and they explore the more subtle intricacies of intelligent computer vision, with an emphasis on intelligent measurement systems. Using many timely, real-world examples, they explain and vividly demonstrate the latest developments in image and video processing techniques and technologies for machine learning in computer vision systems, including: * PRTools5 software for MATLAB especially the latest representation and generalization software toolbox for PRTools5 * Machine learning applications for computer vision, with detailed discussions of contemporary state estimation techniques vs older content of particle filter methods * The latest techniques for classification and supervised learning, with an emphasis on Neural Network, Genetic State Estimation and other particle filter and AI state estimation methods * All new coverage of the Adaboost and its implementation in PRTools5. A valuable working resource for professionals and an excellent introduction for advanced-level students, this 2nd Edition features a wealth of illustrative examples, ranging from basic techniques to advanced intelligent computer vision system implementations. Additional examples and tutorials, as well as a question and solution forum, can be found on a companion website.
Modelling credit risk accurately is central to the practice of mathematical finance. The majority of available texts are aimed at an advanced level, and are more suitable for PhD students and researchers. This volume of the Mastering Mathematical Finance series addresses the need for a course intended for master's students, final-year undergraduates, and practitioners. The book focuses on the two mainstream modelling approaches to credit risk, namely structural models and reduced-form models, and on pricing selected credit risk derivatives. Balancing rigorous theory with examples, it takes readers through a natural development of mathematical ideas and financial intuition.
This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB (R) software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze more complicated models from modern engineering, ecology, and economics.
The full measure of Wolfgang Doeblin's mathematical stature became apparent only in 2000 when the sealed envelope containing his construction of diffusion processes in terms of a time change of Brownian motion was finally opened, 60 years after it was sent to the Academy of Sciences in Paris.
This film documents scientific and human aspects of this amazing discovery and throws new light on the startling circumstances of his death at the age of 25.
MATHEMATICAL APPLICATIONS FOR THE MANAGEMENT, LIFE, AND SOCIAL SCIENCES, 11th Edition, features a concept-based approach, multiple presentation methods, and interesting and relevant applications that keep readers-future professionals in business, economics, life sciences, and social sciences-engaged in the material. This edition retains the book's real-life context by adding to and updating the substantial number of applications. It also continues the focus on modeling, with modeling problems now clearly labeled in the examples. A brief review of algebra prepares users with different backgrounds for the material in later chapters.
Michael Berry is a theoretical physicist who has contributed to a wide variety of areas in quantum mechanics, optics and related mathematics, linked by the geometrical aspects of waves, especially phase. This collection of his selected published and unpublished papers, reviews, tributes to other scientists, speeches and other works ranges from the technical to the popular. It is organized by the themes of his significant scientific contributions. Detailed introductions emphasize the rich connections between the different themes. An essential read for physicists, mathematicians, students and philosophers of science.
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