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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.
The best-selling introductory mathematics textbook for students on science and engineering degree and pre-degree courses. Sales stand at more than half a million copies world-wide. Its unique programmed approach takes students through the mathematics they need in a step-by-step fashion with a wealth of examples and exercises. The text demands that students engage with it by asking them to complete steps that they should be able to manage from previous examples or knowledge they have acquired, while carefully introducing new steps. By working with the authors through the examples, students become proficient as they go. By the time they come to trying examples on their own, confidence is high. Aimed at undergraduates on Foundation and First Year degree programmes in all Engineering disciplines and Science. The Foundation section covers mathematics from GCSE onwards to allow for revision and gap-filling, and so means the book can be used for a range of abilities and all levels of access.
This popular, world-wide selling textbook teaches engineering mathematics in a step-by-step fashion and uniquely through engineering examples and exercises which apply the techniques right from their introduction. This contextual use of mathematics is highly motivating, as with every topic and each new page students see the importance and relevance of mathematics in engineering. The examples are taken from mechanics, aerodynamics, electronics, engineering, fluid dynamics and other areas. While being general and accessible for all students, they also highlight how mathematics works in any individual's engineering discipline. The material is often praised for its careful pace, and the author pauses to ask questions to keep students reflecting. Proof of mathematical results is kept to a minimum. Instead the book develops learning by investigating results, observing patterns, visualizing graphs and answering questions using technology. This textbook is ideal for first year undergraduates and those on pre-degree courses in Engineering (all disciplines) and Science.
Discover a simple, direct approach that highlights the basics you need within A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. The book is written primarily as a basic learning tool for students, like you, in civil and mechanical engineering who are primarily interested in stress analysis and heat transfer. The text offers ideal preparation for utilizing the finite element method as a tool to solve practical physical problems.
Now in its eighth edition, Higher Engineering Mathematics has helped thousands of students succeed in their exams. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced engineering mathematics that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper-level vocational courses and for undergraduate degree courses. It is also supported by a fully updated companion website with resources for both students and lecturers. It has full solutions to all 2,000 further questions contained in the 277 practice exercises.
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.
Engineering is mathematics in action. But engineering students do not always see the link between what they learn in mathematics and how this applies to engineering problems.
From relatively simple questions, like determining the maximum weight a beam can support to complex projects like mapping out the most efficient electrical flow for a city’s traffic lights, mathematics is essential.
An introduction to Applied Calculus for Social and Life Sciences, the revised edition, contains all the material in the original version and now contains answers to odd numbered exercises. The book additionally contains selected worked out examples available from the publisher's website. The book is designed primarily for students majoring in Social Sciences and Life Sciences. It prepares students to deal with mathematical problems which arise from real-life problems encountered in other areas of study, such as Agriculture, Forestry, Biochemistry, Biology and the Biomedical Sciences. It is also of value to anyone intending to develop foundational undergraduate calculus for the Physical Sciences.
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.
This hands-on introduction to numerical geodynamic modelling provides a solid grounding in the necessary mathematical theory and techniques, including continuum mechanics and partial differential equations, before introducing key numerical modelling methods and applications. Fully updated, this second edition includes four completely new chapters covering the most recent advances in modelling inertial processes, seismic cycles and fluid-solid interactions, and the development of adaptive mesh refinement algorithms. Many well-documented, state-of-the-art visco-elasto-plastic 2D models are presented, which allow robust modelling of key geodynamic processes. Requiring only minimal prerequisite mathematical training, and featuring over sixty practical exercises and ninety MATLAB (R) examples, this user-friendly resource encourages experimentation with geodynamic models. It is an ideal introduction for advanced courses and can be used as a self-study aid for graduates seeking to master geodynamic modelling for their own research projects.
The text provides a practical approach oriented to engineering as well as chemical and physical sciences. Students learn how the material will be relevant in their careers through the integration throughout of unique problem sets that reflect realistic applications and situations. Applied Statistics, 6th Edition is suitable for either a one- or two-term course in probability and statistics.
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.
This text provides a general revision of basic mathematical principles, rules and methods. The focus is only on those areas of mathematics required for the GMAT test. This covers four main topics: basic arithmetic, fundamental algebra, geometry and introductory statistics. This is essentially a workbook with a strong emphasis on self-practice. After a brief review of each topic’s basic rules and methods, there is at least one worked example, followed by an extensive set of self-practice exercises.
This revised edition contains a few new topics in basic mathematic and fundamental algebra and is strengthened by additional GMAT-type exercises.
The theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille-Yosida and Lumer-Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and Feller-Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann-Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.
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.
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.
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.
Famed mathematical scholar's concise exposition of the mathematical basis of tensor analysis, integrated with well-chosen physical examples of the theory, including those involving elasticity, classical dynamics, relativity and Dirac's matrix calculus. Exercises. Index. Bibliography. Notes.
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 tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations.
Networks constitute the backbone of complex systems, from the human brain to computer communications, transport infrastructures to online social systems and metabolic reactions to financial markets. Characterising their structure improves our understanding of the physical, biological, economic and social phenomena that shape our world. Rigorous and thorough, this textbook presents a detailed overview of the new theory and methods of network science. Covering algorithms for graph exploration, node ranking and network generation, among others, the book allows students to experiment with network models and real-world data sets, providing them with a deep understanding of the basics of network theory and its practical applications. Systems of growing complexity are examined in detail, challenging students to increase their level of skill. An engaging presentation of the important principles of network science makes this the perfect reference for researchers and undergraduate and graduate students in physics, mathematics, engineering, biology, neuroscience and the social sciences.
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