Mathematics Books

Book SynopsisThis best-selling book remains the most popular stand-alone text for Advanced Level Statistics. It covers the AS and A2 specifications in Statistics for Advanced Level Maths across all boards. Over 300 worked examples. Advice on how to break down calculations into easy stages. Extensive exercises including real exam questions for practice and exam preparation. End of chapter summaries for consolidation and revision.

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Book SynopsisA funny and pun-filled retelling of “The Sword and Stone” that introduces readers to mathematical angles. King Arthur has hidden his sword, Edgecalibur and issued a challenge to the knights. The first knight to find the sword will be the next king. Can Sir Cumference and Lady Di point Radius''s best friend, Vertex in the right direction? Will Vertex''s sharp thinking give him the edge?Join Sir Cumference, Lady Di of Ameter, and their son, Radius, in this new adventure where they race to help Vertex find the sword and discover the secrets of cubes, pyramids, cylinders, and cones.

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Book SynopsisHelps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete. A range of exercises, complete with full solutions, makes the book ideal for self-study.Trade ReviewFrom the reviews:“This book has been ‘written by students for students’. … the quite talkative style makes this book a pleasant ‘arm chair reading’ for freshmen and event teachers. … it can be recommended as an additional source for students in their first year calculus or linear algebra course.” (Jürgen Appell, zbMATH, Vol. 1271, 2013)“The authors of Bridging the Gap to University Mathematics, were students at a British university. … Their book consists of 20 independent chapters … including two on mechanics and two on differential equations. … Induction is done well, and there is material on logic and truth tables as well as on proof by contrapositive. … the book could be very useful to the beginning mathematics or engineering student–and even to the professor.” (James M. Cargal, UMAP Journal, Vol. 31 (1), 2010)"The book can be used also by … undergraduate students, graduate students (in their first years), high-school teachers, even mathematics faculty (to get ideas on making their courses more accessible to students). The book covers an array of twenty topics, from simple inequalities to series, and is easy to read, which makes it ideal for self-study. … It is an easy and entertaining read. … a good book to have for any student taking mathematics courses, as well as for any teacher teaching mathematics courses." (Mihaela Poplicher, The Mathematical Association of America, April, 2009)"Bridging the Gap to University Mathematics is intended to do exactly what the title suggests. Gould and Hurst were, at the time of writing, both students and one gets the feeling that their desire is to tell prospective students what they themselves wish someone had told them before they embarked on their own mathematical journey at university…The book covers a broad range of topics…Well written and easy to read, it divides the material into twenty chapters, which are broken down into manageable chunks. Every chapter begins with ten ’test yourself’ questions designed to help the student discover whether they really do understand a particular topic. As each one is written as a single entity, not depending on preceding content, it is a book that students can dip in and out of rather than read from cover to cover.It is pleasantly laid out and contains numerous worked examples which clearly illustrate the more complicated concepts. Each subsection is followed by an exercise for the students to work through to test their understanding. All answers, to these and the starter questions, are provided at the back of the book enabling students to monitor their progress. Concluding each chapter is a very helpful section entitled ’where now?’ which explains how this area of mathematics might come into their university course and where it could lead to. Readers are helpfully referred to other texts for further, more in-depth, material or interest. Lastly, an appendix provides useful formulae and extension questions, this time with worked solutions...The book is written in a fresh, conversational style that is neither patronising nor written in a format intended to solely appeal to the young. It is a book that one could quite easily use as the basis of an introductory or foundation course or to stretch the brightest sixth-formers with something interesting, possibly after they have taken their exams." (Noel-Ann Bradshaw, LMS, September 2010)Table of ContentsInequalities.- Trigonometry, Differentiation and Exponents.- Polar Coordinates.- Complex Numbers.- Vectors.- Matrices.- Matrices as Maps.- Separable Differential Equations.- Integrating Factors.- Mechanics.- Logic, Sets and Functions.- Proof Methods.- Probability.- Distributions.- Making Decisions.- Geometry.- Hyperbolic Trigonometry.- Motion and Curvature.- Sequences.- Series.

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Book SynopsisThis is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; coversTrade Review"The treasures [in the Princeton Companion to Applied Mathematics] go on and on."--Lloyd N. Trefethen, SIAM Review "[An] impressive volume... It has been a major project that eventually resulted in this amazing product."--Adhemar Bultheel, European Mathematical Society "Safe to say there is something for everyone in The Princeton Companion to Applied Mathematics."--Alan Stevens, Mathematics Today "[A] valuable addition to the mathematics library of any university or research institution."--Library Journal "Higham and his associate editors ... have produced an admirably readable and informative volume, which anyone interested in applied mathematics would be well advised to consult or--better still--to own!"--James Case, SIAM News "A unique work full of beautiful and interesting mathematics. It is surely a valuable resource for exposing young mathematicians to possible areas of applied mathematics for research and further study. Without a doubt PCAM is an important contribution to the mathematical literature."--Jason M. Graham, MathSciNet "[A]n excellent reference that successfully compiles into a readable and engaging form the broad range of topics that an applied mathematician might encounter in their career... As a reader, I find myself flipping through the pages and becoming engaged in new and interesting ideas from the world of applied math."--Joanna Bieri, MAA Reviews "A handy one-volume reference for applied mathematics that cuts across several disciplines within an academic framework."--Lesley S.J. Farmer, Reference ReviewsTable of Contents*Frontmatter, pg. i*Contents, pg. v*Preface, pg. ix*Contributors, pg. xiii*Part I. Introduction to Applied Mathematics, pg. 1*Part II. Concepts, pg. 81*Part III. Equations, Laws, and Functions of Applied Mathematics, pg. 135*Part IV. Areas of Applied Mathematics, pg. 173*Part V. Modeling, pg. 591*Part VI. Example Problems, pg. 733*Part VII. Application Areas, pg. 783*Part VIII. Final Perspectives, pg. 897*Index, pg. 963

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Book SynopsisThis new edition of Modern Fortran Explained provides a clear and thorough description of the latest version of Fortran, written by experts in the field with the intention that it remain the main reference work in the field.Table of Contents1: Whence Fortran? 2: Language elements 3: Expressions and assignments 4: Control constructs 5: Program units and procedures 6: Allocation of data 7: Array features 8: Specification statements 9: Intrinsic procedures and modules 10: Data transfer 11: Edit descriptors 12: Operations on external files 13: Further type parameter featur 14: Abstract interfaces and procedure pointers 15: Object-oriented programming 16: Submodules 17: Coarrays 18: Coarray teams 19: Floating-point exception handling 20: Basic interoperability with C 21: Interoperating with C using descriptors 22: Generic programming 23: Other Fortran 2023 enhancements A: Deprecated features B: Obsolescent and deleted features C: Significant examples D: Solutions to exercises

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Book SynopsisMeasure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces â all in a single study. Detailed analyses. Problems. Bibliography. Index.

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Book SynopsisThis book provides in-depth coverage of Pure Mathematics 2 & 3 for Cambridge International AS and A Level Mathematics 9709, for examination from 2020 onwards. With a clear focus on mathematics in life and work, this text builds the key mathematical skills and knowledge that will open up a wide range of careers and further study.Exam Board: Cambridge Assessment International EducationFirst teaching: 2018 First exams: 2020This student book is part of a series of nine books covering the complete syllabus for Cambridge International AS and A Level Mathematics (9709) and Further Mathematics (9231), for first teaching from September 2018 and examination from 2020. This title is endorsed by Cambridge Assessment International Education.Written by expert authors, this Student Book: covers all the content of Pure Mathematics 2 and the additional A Level-only content for Pure Mathematics 3 with clear references to what you will learn at the start of each chapter, and coverage that clearly and dir

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Book SynopsisTable of ContentsPart 1 Introduction to Programming Using MATLAB 1. Introduction to MATLAB 2. Vectors and Matrices 3. Introduction to MATLAB Programming 4. Selection Statements 5. Loop Statements and Vectorizing Code 6. MATLAB Programs 7. Text Manipulation 8. Data Structures Part 2 Advanced Topics for Problem Solving with MATLAB 9. Data Transfer 10. Advanced Functions 11. Introduction to Object-Oriented Programming and Graphics 12. Advanced Plotting Techniques 13. Sights and Sounds 14. Advanced Mathematics 15. Introduction to Machine Learning

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Book SynopsisThis is part two of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning--the construction of the number systems and set theory--then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty lectures each.The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.The fourth edition incorporates a large number of additional corrections reported since the release of the third edition, as well as some additional new exercises.

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Book SynopsisLike its wildly popular predecessors Cabinet of Mathematical Curiosities and Hoard of Mathematical Treasures, Professor Stewart's brand-new book is a miscellany of over 150 mathematical curios and conundrums, packed with trademark humour and numerous illustrations.In addition to the fascinating formulae and thrilling theorems familiar to Professor Stewart's fans, the Casebook follows the adventures of the not-so-great detective Hemlock Soames and his sidekick Dr John Watsup (immortalised in the phrase 'Watsup, Doc?'). By a remarkable coincidence they live at 222B Baker Street, just across the road from their more illustrious neighbour who, for reasons known only to Dr Watsup, is never mentioned by name. A typical item is 'The Case of the Face-Down Aces', a mathematical magic trick of quite devilish cunning... Ranging from one-liners to four-page investigations from the frontiers of mathematical research, the Casebook reveals Professor Stewart at his challenging and entertaining best.Trade ReviewBritain's most brilliant and prolific populariser of mathematics -- Alex Bellos * Guardian *Ian really is unsurpassed as raconteur of the world of numbers. He guides us on a mind-boggling journey from the ultra trivial to the profound. Thoroughly entertaining -- Jeremy Webb * New Scientist *As the professor darts randomly from "digital cubes" to "the hairy ball theorem" with boundless playful curiosity, even those with only a sluggish interest in maths will find something to amuse and amaze * Sunday Telegraph *Anyone with a slight geeky bent to them, whether they be adult or teenager, will find plenty to edify, tickle and tantalise them. It'd make a wonderful present ... I can't wait for the next volume. Highly recommended * Bookbag *

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Book SynopsisA textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included.Trade Review"This book should be a must for all mathematicians who are involved in the training of Mathematical Olympiad teams, but it will also be a valuable source of problems for university courses." Mathematical ReviewsTable of ContentsPermutations and combinations; binomial coefficients and multinomial coefficients; the Pigeonhole principle and Ramsey numbers; the principle of inclusion and exclusion; generating functions; recurrence relations.

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Book SynopsisTrade Review"Stimulating reading" --New ScientistTable of ContentsFundamental principles of theoretical physics; The Gibbs distribution; Ideal gases; Solids; Non-ideal gases; Solutions; Chemical reactions; Fluctuations; Surfaces.

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Book SynopsisThe most useful tool for reviewing mathematical methods for economics classesânow with more contentSchaumâs Outline of Calculus for Business, Economics and Finance, Fourth Edition is the go-to study guide for help in economics courses, mirroring the courses in scope and sequence to help you understand basic concepts and get extra practice in topics like multivariable functions, exponential and logarithmic functions, and more. With an outline format that facilitates quick and easy review, Schaumâs Outline of Calculus for Business, Economics and Finance, Fourth Edition supports the major bestselling textbooks in economics courses and is useful for a variety of classes, including Introduction to Economics, Economics, Econometrics, Microeconomics, Macroeconomics, Economics Theories, Mathematical Economics, Math for Economists and Math for Social Sciences. Chapters include Economic Applications of Graphs and Equations, The Derivative and the Rules o

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Book SynopsisA straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.

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Book SynopsisLucid, well-written introduction to elementary geometry usually included in undergraduate and first-year graduate courses in mathematics. Topics include vector algebra in the plane, circles and coaxial systems, mappings of the Euclidean plane, similitudes, isometries, mappings of the intensive plane, much more. Includes over 500 exercises.

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Book SynopsisMathematician Ian Stewart tells readers what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical-what mathematics is and why it''s worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.Trade Review"(This) book's greatest value is its insight into what it is to be a mathematician... His enthusiasm is infectious." The Times "The letter in which Stewart tells Meg how to teach undergraduates should be compulsory reading for all lecturers and tutors". Nature"

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Book Synopsis"Business Math" is a catch-all title for a collection of topics that are anything but calculus. Business Math For Dummies takes complex mathematical theories and formulas and applies them to practical business situations. It also includes practical practice problems to help readers hone their skills.Table of ContentsIntroduction 1 Part I: Reviewing Basic Math for Business and Real Estate Transactions 7 Chapter 1: Starting from the Beginning 9 Chapter 2: Fractions, Decimals, and Percents 15 Chapter 3: Determining Percent Increase and Decrease 31 Chapter 4: Dealing with Proportions and Basic Algebra 37 Part II: Taking Intriguing Math to Work 47 Chapter 5: Working with Formulas 49 Chapter 6: Reading Graphs and Charts 67 Chapter 7: Measuring the World around You 79 Chapter 8: Analyzing Data and Statistics 97 Part III: Discovering the Math of Finance and Investments 109 Chapter 9: Computing Simple and Compound Interest 111 Chapter 10: Investing in the Future 131 Chapter 11: Understanding and Managing Investments 149 Chapter 12: Using Loans and Credit to Make Purchases 165 Part IV: Putting Math to Use in Banking and Payroll 177 Chapter 13: Managing Simple Bank Accounts 179 Chapter 14: Protecting Against Risk with Insurance 193 Chapter 15: Planning for Success with Budgets 207 Chapter 16: Dealing with Payroll 223 Part V: Successfully Handling the Math Used in the World of Goods and Services 235 Chapter 17: Pricing with Markups and Discounts 237 Chapter 18: Calculating Profit, Revenue, and Cost 251 Chapter 19: Accounting for Overhead and Depreciation 273 Chapter 20: Keeping Track of Inventory 291 Part VI: Surviving the Math for Business Facilities and Operations 305 Chapter 21: Measuring Properties 307 Chapter 22: Taking Out Mortgages and Property-Related Loans 335 Part VII: The Part of Tens 359 Chapter 23: Ten Tips for Leasing and Managing Rental Property 361 Chapter 24: Ten Things to Watch Out for When Reading Financial Reports 369 Index 373

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Book SynopsisThis is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the disciplinTrade Review"This is a marvelous coffee table book ... very well researched and documented. It touches upon so many fundamental questions that philosophers, scientists, mathematicians and artists have asked since antiquity. But yet it guides the reader smoothly through all these competing visions and theories without becoming dull or getting lost in abstraction. This is the history of Western civilization with particular interest in art and mathematics, illuminating and instructive, and all wrapped up in a rich, colorful, and fancy book."--Adhemar Bultheel, European Mathematical Society "This is the beauty and power of this book: [Mathematics and Art] is an intellectual tour de force of art history and its interaction with mathematics that will draw most readers, including me, back for further reading and study."--Frank Swetz, MAA Reviews "Excellent new book... Overall this is a comprehensive, valuable and detailed book. It is written in an accessible style, with enough mathematics to interest the technical reader without overwhelming one with an arts background... Its rich anthology is particularly relevant today, given the explosion of interest in the digital arts and the need for digital artists to use maths creatively. I will definitely be keeping it close at hand."--William Latham, New Scientist "The author does an artful job in creating a wide-ranging and beautifully illustrated survey that mathematicians and art historians will enjoy."--John Barrow, The Art Newspaper "This sumptuously illustrated book chronicles the history of mathematics through its intersection with the development of visual art... Gamwell articulates the compelling, far-reaching connections within these fields in a way that is rewarding for scholars yet accessible to non-specialists."--Choice "Beautiful books that display the beauty of art are fine additions to many coffee tables; beautiful books that display the beauty of mathematics are fine additions to few coffee tables. Gamwell's impressive work integrates the beauty of these two disciplines to create a work larger than their sum... A book for all ages and of all ages: truly a brilliant 'millennial' composition!"--Sandra L. Arlinghaus, Mathematical Reviews "This splendidly produced volume will appeal to everybody interested in mathematics and art and offers room for agreement and disagreement with the author... This volume stands out by its richness in contents, its wealth of colour reproductions and, last but not least, its very affordable price."--Dirk Werner, Zentralblatt MATH "This wonderful book gives a very thorough overview of the impact of mathematics (and science) of the visual arts (and architecture) over the centuries."--Eos "An interesting read, filled with paradigm-shifting history and art, the book still posits a linear perspective of the relationship of art and mathematics, specifically recounting the ways math has influenced art."--Karie Brown, Mathematics Teacher "A monumental volume... Excellently illustrated by 523 images... Many highlighted quotations from writings of outstanding personalities of the sciences and the arts make the volume more colourful."--Gyorgy Darvas, Symmetry "Mathematics and Art is an enjoyable read accessible to anyone interested in the history of mathematics and art."--Andre Michael Hahn, British Journal for the History of ScienceTable of ContentsFOREWORD by Neil deGrasse Tyson IX PREFACE XI 1 Arithmetic and Geometry 1 2 Proportion 73 3 Infinity 109 4 Formalism 151 5 Logic 197 6 Intuitionism 225 7 Symmetry 249 8 Utopian Visions after World War I 277 9 The Incompleteness of Mathematics 321 10 Computation 355 1 1 Geometric Abstraction after World War II 385 12 Computers in Mathematics and Art 455 13 Platonism in the Postmodern Era 499 NOTES 512 ACKNOWLEDGMENTS 547 CREDITS 548 INDEX 549

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Book SynopsisProvides a clear introduction to one of the important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, this book goes on to examine tangent spaces, oriented manifolds, and vector fields. It discusses concepts such as homotopy, the index number of a map, and the Pontryagin construction.Trade Review"John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters""John Willard Milnor, Winner of the 2011 Leroy P. Steele Prize for Lifetime Achievement, American Mathematical Society"Table of ContentsPreface1Smooth manifolds and smooth maps1Tangent spaces and derivatives2Regular values7The fundamental theorem of algebra82The theorem of Sard and Brown10Manifolds with boundary12The Brouwer fixed point theorem133Proof of Sard's theorem164The degree modulo 2 of a mapping20Smooth homotopy and smooth isotopy205Oriented manifolds26The Brouwer degree276Vector fields and the Euler number327Framed cobordism; the Pontryagin construction42The Hopf theorem508Exercises52AppClassifying 1-manifolds55Bibliography59Index63

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Book SynopsisIntroductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.

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Book SynopsisRenowned for its clear prose and no-nonsense emphasis on core concepts, Statistics covers fundamentals using real examples to illustrate the techniques.Table of ContentsPART I. DESIGNS OF EXPERIMENTS Chapter 1. Controlled Experiments Chapter 2. Observational Studies PART II. DESCRIPTIVE STATISTICS Chapter 3. The Histogram Chapter 4. The Average Standard Deviation Chapter 5. The Normal Approximation for Data Chapter 6. Measurement Error Chapter 7. Plotting Points and Lines PART III. CORRELATION AND REGRESSION Chapter 8. Correlation Chapter 9. More about Correlation Chapter 10. Regression Chapter 11. The R.M.S. Error for Regression Chapter 12. The Regression Line PART IV. PROBABILITY Chapter 13. What Are the Chances Chapter 14. More about Chance Chapter 15. The Binomial Formula PART V. CHANCE VARIABILITY Chapter 16. The Law of Averages Chapter 17. The Expected Value and Standard Error Chapter 18. The Normal Approximation for Probablity PART VI. SAMPLING Chapter 19. Sample Surveys Chapter 20. Chance Errors in Sampling Chapter 21. The Accuracy of Percentages Chapter 22. Measuring Employment and Significance Unemployment Chapter 23. The Accuracy of Averages PART VII. CHANCE MODELS Chapter 24. Model for Measurement Error Chapter 25. Chance Models in Genetics PART VIII. TESTS OF SIGNIFICANCE Chapter 26. Tests of Significance Chapter 27 More Tests for Averages Chapter 28. The Chi-Square Test Chapter 29. A Closer Look at Tests of Significance

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Book SynopsisA retitled and revised edition of Ian Stewart's The Problems of Mathematics, this is the perfect guide to today's mathematics. Read about the latest discoveries, including Andrew Wiles's amazing proof of Fermat's Last Theorem, Chaos Theory, and fake four-dimensional spaces; and see how simple concepts from probability theory can help you maximize your National Lottery winnings.Trade ReviewMaths can be fun! What's more, as Ian Stewart shows, it can be explained in everyday language ... it is such a surprise to find mathematics being made so accessible. * Good Book Guide *an excellent account of what's going on in mathematics right now * Guardian *

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Book SynopsisThis text focuses on the most widely used applications of mathematical methods, including those related to probability and statistics. The 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

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Book SynopsisCompact, well-written survey ranges from the ancient Near East to 20th-century computer theory, covering Archimedes, Pascal, Gauss, Hilbert, and many others. "A work which is unquestionably one of the best." â Nature.

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Book SynopsisThis practical introduction for final-year undergraduate and graduate students is ideally suited to computer scientists without a background in calculus and linear algebra. Numerous examples and exercises are provided. Additional resources available online and in the comprehensive software package include computer code, demos and teaching materials for instructors.Trade Review'This book is an exciting addition to the literature on machine learning and graphical models. What makes it unique and interesting is that it provides a unified treatment of machine learning and related fields through graphical models, a framework of growing importance and popularity. Another feature of this book lies in its smooth transition from traditional artificial intelligence to modern machine learning. The book is well-written and truly pleasant to read. I believe that it will appeal to students and researchers with or without a solid mathematical background.' Zheng-Hua Tan, Aalborg University, Denmark'With approachable text, examples, exercises, guidelines for teachers, a MATLAB toolbox and an accompanying website, Bayesian Reasoning and Machine Learning by David Barber provides everything needed for your machine learning course. Only students not included.' Jaakko Hollmén, Aalto University'The chapters on graphical models form one of the clearest and most concise presentations I have seen … The exposition throughout uses numerous diagrams and examples, and the book comes with an extensive software toolbox - these will be immensely helpful for students and educators. It's also a great resource for self-study.' Arindam Banerjee, University of Minnesota'I repeatedly get unsolicited comments from my students that the contents of this book have been very valuable in developing their understanding of machine learning … My students praise this book because it is both coherent and practical, and because it makes fewer assumptions regarding the reader's statistical knowledge and confidence than many books in the field.' Amos Storkey, University of EdinburghTable of ContentsPreface; Part I. Inference in Probabilistic Models: 1. Probabilistic reasoning; 2. Basic graph concepts; 3. Belief networks; 4. Graphical models; 5. Efficient inference in trees; 6. The junction tree algorithm; 7. Making decisions; Part II. Learning in Probabilistic Models: 8. Statistics for machine learning; 9. Learning as inference; 10. Naive Bayes; 11. Learning with hidden variables; 12. Bayesian model selection; Part III. Machine Learning: 13. Machine learning concepts; 14. Nearest neighbour classification; 15. Unsupervised linear dimension reduction; 16. Supervised linear dimension reduction; 17. Linear models; 18. Bayesian linear models; 19. Gaussian processes; 20. Mixture models; 21. Latent linear models; 22. Latent ability models; Part IV. Dynamical Models: 23. Discrete-state Markov models; 24. Continuous-state Markov models; 25. Switching linear dynamical systems; 26. Distributed computation; Part V. Approximate Inference: 27. Sampling; 28. Deterministic approximate inference; Appendix. Background mathematics; Bibliography; Index.

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Book SynopsisThis book provides a detailed description of how Python can be used to give insight into the flow of groundwater based on analytic solutions. Starting with simple problems to illustrate the basic principles, complexity is added step by step to show how one-dimensional and two-dimensional models of one or two aquifers can be implemented. Steady and transient flow problems are discussed in confined, semi-confined, and unconfined aquifers that may include wells, rivers, and areal recharge. Special consideration is given to coastal aquifers, including the effect of tides and the simulation of interface flow.Application of Python allows for compact and readable code, and quick visualization of the solutions. Python scripts are provided to reproduce all results. The scripts are also available online so that they can be altered to meet site-specific conditions. This book is intended both as training material for the next generation of university students and as a useful resource forTrade Review 'This is a fantastic addition to the analytical solutions and analytic element modeling canon with a modern approach to programming with Python. I hope readers will use it to learn and explore groundwater theory, and to up their game on making simple reality checks of complex systems to improve all groundwater modeling.''The authors do an excellent job of describing practically important calculations, like determining the critical flowrate at which a pumped well starts to induce flow from a nearby river.'- Michael Fienen, Groundwater - NGWA, Book Review, 7 September 2022'This is a fantastic addition to the analytical solutions and analytic element modeling canon with a modern approach to programming with Python. I hope readers will use it to learn and explore groundwater theory, and to up their game on making simple reality checks of complex systems to improve all groundwater modeling.''The authors do an excellent job of describing practically important calculations, like determining the critical flowrate at which a pumped well starts to induce flow from a nearby river.'- Michael Fienen, Groundwater - NGWA, Book Review, 7 September 2022Table of Contents0. Basics of Groundwater Flow. 1. Steady One-dimensional Flow with Constant Transmissivity. 2. Steady One-dimensional Semi-confined Flow. 3. Steady One-dimensional Unconfined Flow with Variable Saturated Thickness. 4. Steady One-dimensional Flow in Coastal Aquifers. 5. Transient One-dimensional Flow. 6. Steady Two-dimensional Flow to Wells. 7. Steady Two-dimensional Flow to Wells in Uniform Background Flow. 8. Analytic Element Modeling of Steady Two-dimensional Flow. 9. Transient Two-dimensional Flow. 10. Steady Two-dimensional Flow in the Vertical Plane. 11. Appendix - Python Primer

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Book SynopsisAn Introduction to the Theory of Numbers by G.H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D.R. Heath-Brown this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today''s students through the key milestones and developments in number theory. Updates include a chapter by J.H. Silverman on one of the most important developments in number theory -- modular elliptic curves and their role in the proof of Fermat''s Last Theorem -- a foreword by A. Wiles, and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions for further reading are also included for the more avid readerThe text retains the style and clarity of previous editions making it highly suitable for undergraduates in mathematics from the first year upwards as well as an essential reference for all number theorists.Trade ReviewReview from previous edition Mathematicians of all kinds will find the book pleasant and stimulating reading, and even experts on the theory of numbers will find that the authors have something new to say on many of the topics they have selected... Each chapter is a model of clear exposition, and the notes at the ends of the chapters, with the references and suggestions for further reading, are invaluable. * Nature *This fascinating book... gives a full, vivid and exciting account of its subject, as far as this can be done without using too much advanced theory. * Mathematical Gazette *...an important reference work... which is certain to continue its long and successful life... * Mathematical Reviews *...remains invaluable as a first course on the subject, and as a source of food for thought for anyone wishing to strike out on his own. * Matyc Journal *Table of ContentsPREFACE TO THE SIXTH EDITION; PREFACE TO THE FIFTH EDITION; APPENDIX; LIST OF BOOKS; INDEX OF SPECIAL SYMBOLS AND WORDS; INDEX OF NAMES; GENERAL INDEX

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Book SynopsisThe first edition of this award-winning book attracted a wide audience. This second edition is both a joy to read and a useful classroom tool. Unlike traditional textbooks, it requires no mathematical prerequisites and can be read around the mathematics presented. If used as a textbook, the mathematics can be prioritized, with a book both students and instructors will enjoy reading.Secret History: The Story of Cryptology, Second Edition incorporates new material concerning various eras in the long history of cryptology. Much has happened concerning the political aspects of cryptology since the first edition appeared. The still unfolding story is updated here.The first edition of this book contained chapters devoted to the cracking of German and Japanese systems during World War II. Now the other side of this cipher war is also told, that is, how the United States was able to come up with systems that were never broken.The text is in t

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Book SynopsisReveals the simple techniques needed to estimate virtually anything and illustrates them using an eclectic array of problems. This title shows how to estimate everything from how closely you can orbit a neutron star without being pulled apart by gravity, to the fuel used to transport your food from the farm to the store.Trade Review"This follow-up to the popular Guesstimation offers more on the joy of mathematical estimation, and inspiration for the budding analyst."--Nature "The books do a wonderful job at helping the reader to master the craft."--Cut the Knot Insights "A delightful volume... I hope to be able to use many of the tricks I learned in the future. I also hope to teach some of them to students. This would make a great secondary textbook in many classes, ranging from quantitative literacy to a science methods class for future educators. A careful study of this book would certainly improve a student's ability to take a complicated question, break it down into solvable parts, and assemble the parts to find an answer. Because this is quite close to what I want my students to do when faced with a difficult problem in pure mathematics as well, I consider this to be a very valuable book indeed."--Dominic Klyve, MAA Reviews "Guesstimation 2.0: Solving Today's Problems on the Back of a Napkin succeeds where most popular science literature so often fails. This is because it provides its readers with a scientific tool they can use immediately in their everyday lives... [Makes] an excellent addition for the casual scientist, job interviewee, or anyone hoping to impress their friends at a party."--Gabriel Thoumi, Mongabay.com "Readers who enjoyed Weinstein's first volume will be pleased with this instalment."--Choice "Guesstimation 2.0 is a book that was made to mediate between fun and useful... Whether or not a fan of numbers, it's always cool to appear smart, therefore Guesstimation 2.0 is an excellent element to add to one's arsenal."--Sarthak Shankar, Organiser "Certainly a good read for any teacher who enjoys numbers and the world around us."--Mark Hughes, Mathematics Teaching in the Middle School "Guesstimation's problems are fun and engaging in character, and the solutions are intuitive and well explained. Each problem and solution stands independently, and is about four pages long, making the book ideal for passing a quick ten minutes, and easy to pick up and put down. If, like me, you like ill-posed questions to have concrete answers then Guesstimation is definitely a good place to hone your estimation skills!"--Fionntan Roukema, Mathematical SpectrumTable of ContentsAcknowledgments xi Preface xiii 1 How to Solve Problems 1 2 General Questions 11 *2.1 Who unrolled the toilet paper? 13 *2.2 Money height 17 *2.3 Blotting out the Sun 19 *2.4 Really extra-large popcorn 21 *2.5 Building volume 25 *2.6 Mass of money 29 *2.7 A baseball in a glass of beer 33 *2.8 Life on the phone 37 *2.9 Money under the bridge 41 *2.10 Monkeys and Shakespeare 45 *2.11 The titans of siren 49 *2.12 Airheads at the movies 53 *2.13 Heavy cars and heavier people 55 *2.14 Peeing in the pool 59 3 Recycling: What Really Matters? 63 *3.1 Water bottles 67 *3.2 99 bottles of beer on the wall ... 71 *3.3 Can the aluminum 75 *3.4 Paper or plastic? 79 *3.5 Paper doesn't grow on trees! 83 *3.6 The rain in Spain ... 87 *3.7 Bottom feeders 91 *3.8 You light up my life! 95 4 The Five Senses 101 *4.1 Don't stare at the Sun 103 *4.2 Men of vision 105 *4.3 Light a single candle 109 *4.4 Oh say can you see? 113 *4.5 Bigger eyes 117 *4.6 They're watching us! 121 *4.7 Beam the energy down, Scotty! 125 *4.8 Oh say can you hear? 131 *4.9 Heavy loads 135 5 Energy and Work 139 *5.1 Power up the stairs 143 *5.2 Power workout 145 *5.3 Water over the dam 149 *5.4 A hard nut to crack 153 *5.5 Mousetrap cars 155 *5.6 Push hard 159 *5.7 Pumping car tires 161 *5.8 Pumping bike tires 165 *5.9 Atomic bombs and confetti 169 6 Energy and Transportation 173 *6.1 Gas-powered humans 177 *6.2 Driving across country 181 *6.3 Keep on trucking 185 *6.4 Keep on biking 189 *6.5 Keep on training 193 *6.6 Keep on flying 197 *6.7 To pee or not to pee 201 *6.8 Solar-powered cars 205 *6.9 Put a doughnut in your tank 209 *6.10 Perk up your car 213 *6.11 Don't slow down 217 *6.12 Throwing tomatoes 219 7 Heavenly Bodies 223 *7.1 Orbiting the Sun 227 *7.2 Flying off the Earth 229 *7.3 The rings of Earth 233 *7.4 It is not in the stars to hold our destiny 237 *7.5 Orbiting a neutron star 241 *7.6 How high can we jump? 245 *7.7 Collapsing Sun 249 *7.8 Splitting the Moon 253 *7.9 Splitting a smaller moon 257 *7.10 Spinning faster and slower 263 *7.11 Shrinking Sun 267 *7.12 Spinning Earth 271 *7.13 The dinosaur killer and the day 273 *7.14 The Yellowstone volcano and the day 277 *7.15 The orbiting Moon 281 *7.16 The shortest day 283 8 Materials 289 *8.1 Stronger than spider silk 291 *8.2 Beanstalk to orbit 295 *8.3 Bolt failure 299 *8.4 Making mountains out of molecules 303 *8.5 Chopping down a tree 307 9 Radiation 311 *9.1 Nuclear neutrinos 315 *9.2 Neutrinos and you 319 *9.3 Solar neutrinos 323 *9.4 Supernovas can be dangerous 327 *9.5 Reviving ancient bacteria 331 *9.6 Decaying protons 335 *9.7 Journey to the center of the galaxy 337 Appendix A * Dealing with Large Numbers 341 * A.1 Large Numbers 341 * A.2 Precision, Lots of Digits, and Lying 343 * A.3 Numbers and Units 345 Appendix B * Pegs to Hang Things On 347 Bibliography 351 Index 355

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Book SynopsisStigler shows how statistics arose from the interplay of mathematical concepts and the needs of several applied sciences. His emphasis is upon how methods of probability theory were developed for measuring uncertainty, for reducing uncertainty, and as a conceptual framework for quantitative studies in the social sciences.Trade ReviewOne is tempted to say that the history of statistics in the nineteenth century will be associated with the name Stigler. -- Morris Kline * New York Times Book Review *An exceptionally searching, almost loving, study of the relevant inspirations and aberrations of its principal characters James Bernoulli, de Moivre, Bayes, Laplace, Gauss, Quetelet, Lexis, Galton, Edgeworth, and Pearson, not neglecting a grand supporting cast… The definitive record of an intellectual Golden Age, an overoptimistic climb to a height not to be maintained. -- M. Stone * Science *In this tour de force of careful scholarship, Stephen Stigler has laid bare the people, ideas, and events underlying the development of statistics… He has written an important and wonderful book… Sometimes Stigler’s prose is so evocative it is almost poetic. -- Howard Wainer * Contemporary Psychology *The book is a pleasure to read: the prose sparkles; the protagonists are vividly drawn; the illustrations are handsome and illuminating; the insights plentiful and sharp. This will remain the definitive work on the early development of mathematical statistics for some time to come. -- Lorraine J. Daston * Journal of Modern History *Stigler’s book exhibits a rare combination of mastery of technical materials, sensitivity to conceptual milieu, and near exhaustive familiarity with primary sources. An exemplary study. -- Lorraine DastonTable of ContentsIntroduction PART 1: The Development of Mathematical Statistics in Astronomy and Geodesy before 1827 1. Least Squares and the Combination of Observations Legendre in 1805 Cotes's Rule Tobias Mayer and the Libration of the Moon Saturn, Jupiter, and Enter Laplace's Rescue of the Solar System Roger Boscovich and the Figure of the Earth Laplace and the Method of Situation Legendre and the Invention of Least Squares 2. Probabilists and the Measurement of Uncertainty Jacob Bernoulli De Moivre and the Expanded Binomial Bernoulli's Failure De Moivre's Approximation De Moivre's Deficiency Simpson and Bayes Simpson's Crucial Step toward Error A Bayesian Critique 3. Inverse Probability Laplace and Inverse Probability The Choice of Means The Deduction of a Curve of Errors in 1772-1774

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Book SynopsisThis write-in workbook is an invaluable resource to help students improve their Maths and English skills and help prepare for Level 1 and Level 2 Functional Skills exams. The real-life questions are all written with a Childcare context to help students find essential Maths and English theory understandable, engaging and achievable. Written by Karen Coombes, lecturer with a wealth of experience in the Childcare industry, this workbook is an effective resource to support Maths and English learning in the classroom, at work and for personal study at home.Trade ReviewEnglish 1. Spelling 2. Alphabetising 3. Comprehension 4. Grammar 5. Punctuation 6. Formal letter writing Maths 7. General mathematics 8. Basic operations 9. Decimals 10. Fractions 11. Percentages 12. Measurement conversions 13. Earning wages 14. Squaring numbers 15. Vouchers 16. Deals 17. Reading, interpreting and understanding information in tables and Charts 18. Practice written examTable of Contents1. Spelling 2. Alphabetising 3. Comprehension 4. Grammar 5. Punctuation 6. Formal letter writing 7. General mathematics 8. Basic operations 9. Decimals 10. Fractions 11. Percentages 12. Measurement conversions 13. Earning wages 14. Squaring numbers 15. Vouchers 16. Deals 17. Reading, interpreting and understanding information in tables and charts 18. Practice written exam

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Book SynopsisTable of ContentsIntroduction 1 Part 1: Getting Started with Trigonometry 5 Chapter 1: Taking On Trig Technicalities 7 Chapter 2: Cooperating with Cartesian Coordinates 31 Chapter 3: Finding Degrees in Triangles and Planes 51 Chapter 4: Dishing Out the Pi: Radians 63 Chapter 5: Tackling Right Triangles 77 Part 2: Trigonometric Functions 89 Chapter 6: Describing Trig Functions 91 Chapter 7: Relating Triangles to Circular Functions 107 Chapter 8: Taking Trig Functions Global 123 Chapter 9: Applying Yourself to Trig Functions 139 Part 3: Identities 159 Chapter 10: Introducing Basic Identities 161 Chapter 11: Operating on Identities 177 Chapter 12: Proving Identities: The Basics 197 Chapter 13: Sleuthing Out Identity Solutions 213 Part 4: Equations and Applications 231 Chapter 14: Investigating Inverse Trig Functions 233 Chapter 15: Making Inverse Trig Work for You 241 Chapter 16: Solving Trig Equations 253 Chapter 17: Obeying the Laws and Applying Them 277 Part 5: The Graphs of Trig Functions 301 Chapter 18: Graphing Sine and Cosine 303 Chapter 19: Graphing Tangent and Cotangent 319 Chapter 20: Graphing Two More Trig Functions 327 Chapter 21: Topping Off Trig Graphs 339 Part 6: The Part of Tens 353 Chapter 22: Ten Basic Identities Plus Some Bonuses 355 Chapter 23: Ten Not-So-Basic Identities 361 Appendix: Graphs and Function Values 367 Index 373

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Book SynopsisTaken literally, the title All of Statistics is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like nonparametric curve estimation, bootstrapping, and clas sification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analyzing data. For some time, statistics research was con ducted in statistics departmeTrade ReviewWinner of the 2005 DeGroot Prize.From the reviews:"Presuming no previous background in statistics and described by the author as "demanding" yet "understandable because the material is as intuitive as possible" (p. viii), this certainly would be my choice of textbook if I was required to learn mathematical statistics again for a couple of semesters." Technometrics, August 2004"This book should be seriously considered as a text for a theoretical statsitics course for non-majors, and perhaps even for majors...The coverage of emerging and important topics is timely and welcomed...you should have this book on your desk as a reference to nothing less than 'All of Statistics.'" Biometrics, December 2004"Although All of Statistics is an ambitious title, this book is a concise guide, as the subtitle suggests....I recommend it to anyone who has an interest in learning something new about statistical inference. There is something here for everyone." The American Statistician, May 2005"As the title of the book suggests, ‘All of Statistics’ covers a wide range of statistical topics. … The number of topics covered in this book is vast … . The greatest strength of this book is as a first point of reference for a wide range of statistical methods. … I would recommend this book as a useful and interesting introduction to a large number of statistical topics for non-statisticians and also as a useful reference book for practicing statisticians." (Matthew J. Langdon, Journal of Applied Statistics, Vol. 32 (1), January, 2005)"This book was written specifically to give students a quick but sound understanding of modern statistics, and its coverage is very wide. … The book is extremely well done … ." (N. R. Draper, Short Book Reviews, Vol. 24 (2), 2004)"This is most definitely a book about mathematical statistics. It is full of theorems and proofs … . Presuming no previous background in statistics … this certainly would be my choice of textbook if I was required to learn mathematical statistics again for a couple of semesters." (Eric R. Ziegel, Technometrics, Vol. 46 (3), August, 2004)"The author points out that this book is for those who wish to learn probability and statistics quickly … . this book will serve as a guideline for instructors as to what should constitute a basic education in modern statistics. It introduces many modern topics … . Adequate references are provided at the end of each chapter which the instructor will be able to use profitably … ." (Arup Bose, Sankhya, Vol. 66 (3), 2004)"The amount of material that is covered in this book is impressive. … the explanations are generally clear and the wide range of techniques that are discussed makes it possible to include a diverse set of examples … . The worked examples are complemented with numerous theoretical and practical exercises … . is a very useful overview of many areas of modern statistics and as such will be very useful to readers who require such a survey. Library copies would also see plenty of use." (Stuart Barber, Journal of the Royal Statistical Society, Series A – Statistics in Society, Vol. 168 (1), 2005)Table of ContentsProbability.- Random Variables.- Expectation.- Inequalities.- Convergence of Random Variables.- Models, Statistical Inference and Learning.- Estimating the CDF and Statistical Functionals.- The Bootstrap.- Parametric Inference.- Hypothesis Testing and p-values.- Bayesian Inference.- Statistical Decision Theory.- Linear and Logistic Regression.- Multivariate Models.- Inference about Independence.- Causal Inference.- Directed Graphs and Conditional Independence.- Undirected Graphs.- Loglinear Models.- Nonparametric Curve Estimation.- Smoothing Using Orthogonal Functions.- Classification.- Probability Redux: Stochastic Processes.- Simulation Methods.

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Book SynopsisThis text offers a wealth of diverse, intriguing applications to show where game theory works, where it doesn''t, and why. Accessible to all university students, the book conveys the power, appeal, and beauty of game-theoretic logic, emphasizing problem solving over answers.

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Book SynopsisDoes the subject of data analysis make you dizzy? This book features introduction to exploratory data analysis, the lowdown on collecting, cleaning, and organizing data, everything you need to know about interpreting data using common software and programming languages. It helps you to identify valid, useful, and understandable patterns in data.Table of ContentsIntroduction 1 Part I: Introducing Big Data Statistics 7 Chapter 1: What Is Big Data and What Do You Do With It? 9 Chapter 2: Characteristics of Big Data: The Three Vs 19 Chapter 3: Using Big Data: The Hot Applications 27 Chapter 4: Understanding Probabilities 41 Chapter 5: Basic Statistical Ideas 57 Part II: Preparing and Cleaning Data 81 Chapter 6: Dirty Work: Preparing Your Data for Analysis 83 Chapter 7: Figuring the Format: Important Computer File Formats 99 Chapter 8: Checking Assumptions: Testing for Normality 107 Chapter 9: Dealing with Missing or Incomplete Data 119 Chapter 10: Sending Out a Posse: Searching for Outliers 129 Part III: Exploratory Data Analysis (EDA) 141 Chapter 11: An Overview of Exploratory Data Analysis (EDA) 143 Chapter 12: A Plot to Get Graphical: Graphical Techniques 155 Chapter 13: You’re the Only Variable for Me: Univariate Statistical Techniques 173 Chapter 14: To All the Variables We’ve Encountered: Multivariate Statistical Techniques 191 Chapter 15: Regression Analysis 215 Chapter 16: When You’ve Got the Time: Time Series Analysis 243 Part IV: Big Data Applications 269 Chapter 17: Using Your Crystal Ball: Forecasting with Big Data 271 Chapter 18: Crunching Numbers: Performing Statistical Analysis on Your Computer 297 Chapter 19: Seeking Free Sources of Financial Data 319 Part V: The Part of Tens 331 Chapter 20: Ten (or So) Best Practices in Data Preparation 333 Chapter 21: Ten (or So) Questions Answered by Exploratory Data Analysis (EDA) 339 Index 349

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Book SynopsisLinear algebra is a fundamental area of mathematics, and is arguably the most powerful mathematical tool ever developed. It is a core topic of study within fields as diverse as: business, economics, engineering, physics, computer science, ecology, sociology, demography and genetics. For an example of linear algebra at work, one needs to look no further than the Google search engine, which relies upon linear algebra to rank the results of a search with respect to relevance. The strength of the text is in the large number of examples and the step-by-step explanation of each topic as it is introduced. It is compiled in a way that allows distance learning, with explicit solutions to set problems freely available online. The miscellaneous exercises at the end of each chapter comprise questions from past exam papers from various universities, helping to reinforce the reader''s confidence. Also included, generally at the beginning of sections, are short historical biographies of the leading pTrade ReviewThis book gives an introduction to linear algebra for students with limited mathematical preparation. ... The steady pace of the book is so gentle that no student need be left behind. * Peter Macgregor, Mathematical Gazette *Table of Contents1. Linear Equations and Matrices ; 2. Euclidean Space ; 3. General Vector Spaces ; 4. Inner Product Spaces ; 5. Linear Transformation ; 6. Determinants ; 7. Eigenvalues and Eigenvectors

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