Mathematics Books

Book SynopsisCarve out your niche in the exploding world of blockchain technology Cryptocurrency, NFTs, smart contracts, and ever-more-important business and finance functionsthey all run on blockchain. Blockchain For Dummies is the must-have guide to the basics of blockchain. This clear reference breaks down exactly what blockchain technology is, how it's used across industries, and what it all means for you and your investment portfolio. Learn the latest token standards, emerging tools and platforms, and opportunities that you'll want to hop aboard. This book demystifies all of it, so you can understand and profit from this major disruptor in the world of finance. Evaluate new ideas and trends, make smarter decisions, and establish your presence on your blockchains of choice. Peek under the hood of the new tech that's changing finance (and everything else)Learn how blockchain powers cryptocurrency and smart contractsLaunch your own blockchain apps on stable platformsUnderstand and take advantage of blockchain investment opportunitiesInvestors, financial pros, and technologists who need Blockchain 101 will love Blockchain For Dummies. Exploring blockchain to build your personal portfolio? This book has your essentials.Table of ContentsIntroduction 1 Part 1: Getting Started with Blockchain 5 Chapter 1: Introducing Blockchain 7 Chapter 2: Picking a Blockchain 19 Chapter 3: Getting Your Hands on Blockchain 27 Part 2: Developing Your Knowledge 41 Chapter 4: Beholding the Bitcoin Blockchain 43 Chapter 5: Encountering the Ethereum Blockchain 55 Chapter 6: Uncovering the Cardano Blockchain 83 Chapter 7: Finding the Polkadot Blockchain 95 Chapter 8: Examining the Solana Blockchain 109 Part 3: Powerful Blockchain Platforms 123 Chapter 9: Getting Your Hands on Hyperledger 125 Chapter 10: Applying Microsoft Azure 137 Chapter 11: Getting Busy with IBM 149 Part 4: Industry Impacts 161 Chapter 12: Financial Technology 163 Chapter 13: Real Estate 173 Chapter 14: Insurance 183 Chapter 15: Government 193 Chapter 16: Other Industries 207 Part 5: The Part of Tens 217 Chapter 17: Ten (or So) Free Blockchain Resources 219 Chapter 18: Ten Rules to Never Break on the Blockchain 225 Chapter 19: Ten Top Metaverse Projects 233 Index 239

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Book SynopsisAubrey Clayton traces the history of the flaw that underlies modern statistics, beginning with the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Ranging across math, philosophy, and culture, Bernoulli’s Fallacy explains why something has gone wrong with how we use data—and how to fix it.Trade ReviewAn entertaining mix of history and science. -- Andrew Gelman, Columbia UniversityI like it! Anything that gets people thinking about the uses and abuses of statistics is important and Clayton's book does just this. Fifty years ago E. T. Jaynes opened my eyes to the importance of Bayesian ideas in the real world and this readable account brings these ideas up to date. -- Persi Diaconis, Mary V. Sunseri Professor of Statistics and Mathematics, Stanford UniversityThis story of the 'statistics wars' is gripping, and Clayton is an excellent writer. He argues that scientists have been doing statistics all wrong, a case that should have profound ramifications for medicine, biology, psychology, the social sciences, and other empirical disciplines. Few books accessible to a broad audience lay out the Bayesian case so clearly. -- Eric-Jan Wagenmakers, coauthor of Bayesian Cognitive Modeling: A Practical CourseAs well-written as it is fascinating, and for my money is the best single-volume work describing and contributing to the debates in modern statistics on the shelves today. It can be profitably read by those with no background in the field, but will surely contain new ideas for experts as well. Having read the book, I myself will never think about statistics the same way. -- Dominic Klyve * American Mathematical Monthly *A timely story, well-told. It makes a compelling case for a shake-up in the world of statistics that may just be strident enough to spark change. * MAA Reviews *The author writes with style and humor and tries to make the read minimally pedantic. * Non-Stop Reader *The book is highly accessible. . . . Even readers who ultimately disagree with the author's position will still benefit from reading this text. * Choice *Bernoulli’s Fallacy will be of use to readers of any mathematical background who wish to understand not only the math but also the motivations behind the rising Bayesian wave. It is a vivid, nontechnical look at the bees in the contemporary statistician’s bonnet. * H-Sci-Med_Tech *Table of ContentsPrefaceAcknowledgmentsIntroduction1. What Is Probability?2. The Titular Fallacy3. Adolphe Quetelet’s Bell Curve Bridge4. The Frequentist Jihad5. The Quote-Unquote Logic of Orthodox Statistics6. The Replication Crisis/Opportunity7. The Way OutNotesBibliographyIndex

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Book SynopsisWhether you’re a student or an adult looking to refresh your knowledge, Barron’s Painless Statistics provides review and practice in an easy, step-by-step format.An essential resource for: Virtual learning Homeschool Learning pods Supplementing classes/in-person learning Inside you’ll find: Clear examples for all topics, including data and distributions, basic probability, confidence intervals, bivariate statistics, and much more Diagrams, charts, and instructive math illustrations Painless tips, common pitfalls, and informative sidebars Math talk boxes that translate complex “math speak” into easy-to-understand language Brain Tickler quizzes throughout each chapter to test your progress

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Book SynopsisVery Short Introductions: Brilliant, Sharp, Inspiring Fluid mechanics is an important branch of physics concerned with the way in which fluids, such as liquids and gases, behave when in motion and at rest. A quintessential interdisciplinary field of science, it interacts with many other scientific disciplines, from chemistry and biology to mathematics and engineering.This Very Short Introduction presents the field of fluid mechanics by focusing on the underlying physical ideas and using everyday phenomena to demonstrate them, from dripping taps to swimming ducks. Eric Lauga shows how this set of fundamental physical concepts can be applied to a wide range of flow behaviours and highlights the role of fluid motion in both the natural and industrial worlds. This book also considers future applications of fluid mechanics in science.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Trade ReviewOverall, the book should definitely be an individual's go-to source when seeking an authoritative perspective on the field of fluid mechanics. * Anita T. Layton, Society for Industrial and Applied Mathematics Vol 65.4 *Table of Contents1: Fluids 2: Viscosity 3: Pipes 4: Dimensions 5: Boundary layers 6: Vortices 7: Instabilities 8: Researching fluids and flows Further Reading Index

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Book SynopsisCollins Cambridge IGCSE Maths Student's Book Fourth Edition provides in-depth coverage of every aspect of the revised Cambridge IGCSE and IGCSE (9-1) Mathematics syllabuses (0580/0980) for examination from 2025. The resource covers the Core and Extended syllabus.Exam Board: Cambridge Assessment International EducationFor examination from: 2025Support and challenge students with both the Core and Extended syllabus content clearly labelled in one book.Cover the syllabus with confidence with clear references to what students will learn at the start of every chapter and content fully updated for the revised syllabus and assessment.Grow confidence working without a calculator with clearly labelled questions and exercises.Familiarise students with a mix of structured and unstructured questions throughout.Develop problem solving with questions that require students to apply their skills, often in real life, international contexts.Help students to prepare for examination with past paper quest

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Book SynopsisPlease note this title is suitable for any student studying:Exam Board: AQALevel/Subject: AS and A Level MathsFirst teaching: September 2017First exams: June 2018This Student Book provides full support for both AQA''s new linear AS Level Further Maths specification, and for the first year of the full A Level course. Covering both the compulsory content (further pure) and all the optional content (mechanics, statistics and discrete maths), each chapter starts with an Orientation box, clarifying which A Level Maths topics are being built on, and what learning objectives will be covered. Each chapter section starts with a clear and concise explanation of the maths, with an emphasis on visual presentation. Abundant worked examples show how key techniques can be used and common pitfalls to avoid. Separate exercises allow students to practise first their fluency and skills, and then the new exam-style problem-solving and modelling questions. The problem-solving is supported by Strategy boxes

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Book SynopsisPlease note this title is suitable for any student studying:Exam Board: AQALevel/Subject: AS and A Level MathsFirst teaching: September 2017First exams: June 2018Approved by AQA, this Student Book provides full support for A Level Maths (2017 specification). Bridging units at the start of each Year 1 chapter provide the perfect springboard to support students in their transition from GCSE. Concise recap sections and abundant fluency-style questions ensure the whole class can be brought to the same level of readiness for A Level. The main chapters cover the full specification across pure, mechanics and statistics. Clear and concise explanations are supported by extensive worked examples showing key techniques and common pitfalls. For each topic, students can check their understanding with a fluency-style exercise before advancing to a dedicated problem-solving exercise. This book supports the major changes in assessment style for the 2017 specification, with an assessment at the end of

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Book SynopsisA refreshing, student-focused introduction to the use of statistics in the study of the biosciences. Emphasising why statistical techniques are essential tools for bioscientists, Biomeasurement removes the stigma attached to statistics by giving students the confidence to use key techniques for themselves.Trade ReviewReview from previous edition Biomeasurement does a wonderful job of keeping the biology the focus of analysis, and highlighting the fact that statistics is simply another useful tool to help biological understanding. * Dr Shane Richards, Biological and Biomedical Sciences, University of Durham, UK *This book represents the best I have seen for teaching undergraduate biologists statistics. * Dr Chris Venditti, Department of Biological Sciences, University of Hull, UK *It demystifies and clarifies topics that students can normally find confusing and challenging. It is a must for biologists! * Dr Maria G. Tuohy, School of Natural Sciences, National University of Ireland, Galway *This book was a blessing when I got it for my first year, and I'm still finding it helpful in my second year! It is so easy to navigate; you can read it cover to cover if you are very confused, or just dip into the topics you need. I would definitely recommend it to any students doing a bioscience degree which involves statistical elements. * Bethany Richmond, student at the University of Warwick *As a student with limited mathematical ability, new to statistics who believed I would not be able to pass this module, I read this book chapter by chapter prior to my weekly lectures and everything fell into place without a struggle. A 100% necessary purchase. A 100% necessary read. The book is appealing and very easy to navigate. I have tried to read other statistics books aimed at beginners but this was the only book which I clearly understood. * Julie Carter, student at Anglia Ruskin University *Table of Contents1: Why am I reading this book?2: Getting to grips with the basics3: Describing a single sample4: Inferring and estimating5: Choosing the right test and graph6: Overview of null hypothesis significance testing7: Tests on frequencies8: Tests of difference: two unrelated samples9: Tests of difference: two related samples10: Tests of difference: more than two samples11: Tests of relationship: regression12: Tests of relationship: correlation13: Introducing the generalized linear model: general linear model14: More on the generalized linear model: logistic and loglinear modelsAppendix I How to enter data into SPSSAppendix II Statistical tables of critical valuesAppendix III Summary guidance on reporting statistical resultsAppendix IV Statistics and experimental designRelated Titles

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Book Synopsis A remarkable account of Kurt Gödel, weaving together creative genius, mental illness, political corruption, and idealism in the face of the turmoil of war and upheaval. At age 24, a brilliant Austrian-born mathematician published a mathematical result that shook the world. Nearly a hundred years after Kurt Gödel''s famous 1931 paper On Formally Undecidable Propositions appeared, his proof that every mathematical system must contain propositions that are true - yet never provable within that system - continues to pose profound questions for mathematics, philosophy, computer science, and artificial intelligence. His close friend Albert Einstein, with whom he would walk home every day from Princeton''s famous Institute for Advanced Study, called him the greatest logician since Aristotle. He was also a man who felt profoundly out of place in his time, rejecting the entire current of 20th century philosophical thought in his belief that mathematical truths existed independent of theTrade ReviewBudiansky opens up the history of a time where great progress was achieved in foundations of mathematics against the backdrop of the Second World War. This is an easily accessible account for those who did not have the chance to meet Kurt Gödel in person...For the generations that possibly enjoy the t-shirt version of Gödel's work, I would hope that the variety of his work would spark more diversified Gödel merchandise * Annika Kanckos, Metascience *It would be easy to fall into the trap of repeating somewhat exaggerated anecdotes and to ridicule the leading character of this biography. Therefore, it is a pleasure to read a book on the life of Gödel that does all but that. The book offers a serious and unapologetic account of Gödel's life ... The new take on the topics is refreshing and brings the past to life through a coherent narrative. * Annika Kanckos, Metascience *Selected as a 2021 Book of the Year in the Times Literary Supplementwonderfully engrossing * Adam Gopnik, The New Yorker *Budiansky, for all his tremendous efforts and exhaustive interrogations of Gödel's times and places, acquaintances and offices, can only leave us, at the end, with an immeasurably enriched version of Gödel the wise child. It's an undeniably distracting and reductive picture. But - and this is the trouble - it's not wrong. * Simon Ings, Spectator *Journey to the Edge of Reason covers [Gödel's life and work] engagingly and clearly, which is quite a feat given the difficulty of the material. The author... also manages successfully to convey Gödel's naivety, eccentricity and paranoia as well as his genius. * Nick Spencer, Financial Times *In this excellent new biography, Stephen Budiansky introduces the reader to Gödel's stunning achievements in logic, illuminates his devastating mental illness and considers how the two might be related. * Cheryl Misak, Times Literary Supplement *An engaging read, both on a personal and professional level. * David Lorimer, Paradigm Explorer *One of the great geniuses of the 20th century, barely known outside the academy today, receives a much-needed expert biographical treatment ... An outstanding biography of a man of incomprehensible brilliance. * Kirkus reviews *Journey to the Edge of Reason is an intimate and haunting portrait of one of the most elusive gods on Princeton's Mt. Olympus. A triumph of research and a wonderful read. * Sylvia Nasar, author of A Beautiful Mind *Kurt Gödel's mathematical results on incompleteness and undecidable propositions leave it up to us, as individuals, to choose whether to mourn these limits to the power of formal systems, or celebrate his proof that even the most rigid numerical bureaucracy contains the tools by which higher truth will always be able to effect an escape. Stephen Budianksy's Journey to the Edge of Reason expertly and humanely frames these results between Gödel's childhood under the dark shadow of the Austrian and Nazi bureaucracies, his escape to America, his descent into physical and mental illness, and his achievement of a reconciliation between spiritual faith and scientific proof. * George Dyson, author of Analogia and Turing's Cathedral *A painstakingly researched and lucidly presented biography—a close-up of one of the most influential and enigmatic thinkers of the twentieth century—full of vivid detail and sharp historical insight. * Karl Sigmund, professor of mathematics, University of Vienna, and author of Exact Thinking in Demented Times *A brilliant biography of one of the most original thinkers of all time, Journey to the Edge of Reason is as deep and precise as the genius it describes. In a paradox befitting Gödel himself, it takes a tale of logic and its limits and finds, at its heart, something strangely soulful and sympathetic. * Steven Strogatz, professor of mathematics, Cornell University, and author ofInfinite Powers *Prepare yourself for a great adventure and fascinating book that can be picked up at ease and read at pace..Budiansky provides a gripping and interesting dialogue fitting the great story of this fascinating figure...an excellent book. * Kenny Green, Mathematics Today *

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Book SynopsisMathematics is a fundamental human activity that can be practised and understood in a multitude of ways; indeed, mathematical ideas themselves are far from being fixed, but are adapted and changed by their passage across periods and cultures. In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day. Arranged thematically, to exemplify the varied contexts in which people have learned, used, and handed on mathematics, she also includes illustrative case studies drawn from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Trade ReviewStimulating and accessible. * Mathematical Gazette *Table of ContentsFURTHER READING

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Book SynopsisProbably the most celebrated controversy in all of the history of science was that between Newton and Leibniz over the invention of the calculus. Philosophers at War reveals how the dispute arose and became embittered, the dispositions of the chief actors, and the shifts in their opinions of each other.Table of ContentsPreface; Chronological outline; 1. Introduction; 2. Beginnings in Cambridge; 3. Newton states his claim: 1685; 4. Leibniz encounters Newton: 1672–1676; 5. The emergence of the calculus: 1677–1699; 6. The outbreak: 1693–1700; 7. Open warfare: 1700–1710; 8. The philosophical debate; 9. Thrust and parry: 1710–1713; 10. The dogs of war: 1713–1715; 11. War beyond death: 1715–1722; Appendix; Notes; Index.

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Book SynopsisStochastic Modelling of Big Data in Finance provides a rigorous overview and exploration of stochastic modelling of big data in finance (BDF). The book describes various stochastic models, including multivariate models, to deal with big data in finance. This includes data in high-frequency and algorithmic trading, specifically in limit order books (LOB), and shows how those models can be applied to different datasets to describe the dynamics of LOB, and to figure out which model is the best with respect to a specific data set. The results of the book may be used to also solve acquisition, liquidation and market making problems, and other optimization problems in finance.Features Self-contained book suitable for graduate students and post-doctoral fellows in financial mathematics and data science, as well as for practitioners working in the financial industry who deal with big data All results are presented visually to aid in understanding oTable of Contents1. A Brief Introduction: Stochastic Modelling of Big Data in Finance. 1.1. Introduction. 1.2. Big Data in Finance: Limit Order Books. 1.3. Stochastic Modelling of Big Data in Finance: Limit Order Books (LOB). 1.4 Illustration and Justification of Our Method to Study Big Data in Finance. 1.5. Methodological Aspects of Using the Models. 1.6. Conclusion. I. Semi-Markovian Modelling of Big Data in Finance. 2. A Semi-Markovian Modelling of Big Data in Finance. 2.1. Introduction. 2.2. A Semi-Markovian Modeling of Limit Order Markets. 2.3. Main Probabilistic Results. 2.4. Diffusion Limit of the Price Process. 2.5. Numerical Results. 2.6. More Big Data. 2.7. Conclusion. 3. General Semi-Markovian Modelling of Big Data in Finance. 3.1. Introduction. 3.2. Reviewing the Assumptions with Our New Data Sets. 3.3. General Semi-Markov Model for the Limit Order Book with Two States. 3.4. General Semi-Markov Model for the Limit Order Book with arbitrary number of states. 3.5. Discussion on Price Spreads. 3.6. Conclusion. II. Modelling of Big Data in Finance with Hawkes Processes. 4. A Brief Introduction to Hawkes Processes. 4.1. Introduction. 4.2. Definition of Hawkes Processes (HPs). 4.3. Compound Hawkes Processes. 4.4. Limit Theorems for Hawkes Processes: LLN and FCLT. 4.5. Limit Theorems for Poisson Processes: LLN and FCLT. 4.6. Stylized Properties of Hawkes Process. 4.7. Conclusion. 5. Stochastic Modelling of Big Data in Finance with CHP. 5.1. Introduction. 5.2. Definitions of HP, CHP and RSCHP. 5.3. Diffusion Limits and LLNs for CHP and RSCHP in Limit Order Books. 5.4. Numerical Examples and Parameters Estimations. 5.5. Conclusion. 6. Stochastic Modelling of Big Data in Finance with GCHP. 6.1. A Brief Introduction and Literature Review. 6.2. Diffusion Limits and LLNs. 6.3. Empirical Results. 6.4. Conclusion. 7. Quantitative and Comparative Analyses of Big Data with GCHP. 7.1. Introduction. 7.2. Theoretical Analysis. 7.3. Application. 7.4. Hawkes Process and Models Calibrations. 7.5. Error Measurement. 7.6. Conclusion. III. Multivariate Modelling of Big Data in Finance. 8. Multivariate General Compound Hawkes Processes in BDF. 8.1. Introduction. 8.2. Hawkes Processes and Limit Theorems. 8.3. Multivariate General Compound Hawkes Processes (MGCHP) and Limit Theorems. 8.4. FCLT II for MGCHP: Deterministic Centralization. 8.5. Numerical Example. 8.6. Conclusion. 9. Multivariate General Compound Point Processes in BDF. 9.1. Introduction. 9.2. Definition of Multivariate General Compound Point Process (MGCPP). 9.3. LLNs and Diffusion Limits for MGCPP. 9.4. Diffusion Limit for the MGCPP: Deterministic Centralization. 9.5. Conclusion. IV. Appendix: Basics in Stochastic Processes

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Book SynopsisThis updated second edition has been revised to account for the latest measurements, including results from Cassini, Kepler, and Curiosity, as well as many ground-based observatories. It is an authoritative introduction on the processes governing the motions and properties of planets for graduate students in the physical sciences.Table of Contents1. Introduction; 2. Dynamics; 3. Solar heating and energy transport; 4. Planetary atmospheres; 5. Planetary surfaces; 6. Planetary interiors; 7. Magnetic fields and plasmas; 8. Meteorites; 9. Minor planets; 10. Comets; 11. Planetary rings; 12. Extrasolar planets; 13. Planet formation; 14. Planets and life; Appendixes; References; Index.

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Book SynopsisThis two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.Trade ReviewReview of previous edition: 'Undoubtedly, the book will be very useful for all mathematicians (not only for postgraduate students) who work in the theory of Banach spaces, harmonic analysis and probability theory.' Anatolij M. Plichko, American Mathematical SocietyReview from previous edition: '… carefully written and edited … The exposition is clear, precise and lively, and the text makes very good reading.' Eve Oja, Zentralblatt MathTable of ContentsPreface; 1. Euclidean sections; 2. Separable Banach spaces without the approximation property; 3. Gaussian processes; 4. Reflexive subspaces of L1; 5. The method of selectors. Examples of its use; 6. The Pisier space of almost surely continuous functions. Applications; Appendix. News in the theory of infinite-dimensional Banach spaces in the past twenty years G. Godefroy; An update on some problems in high dimensional convex geometry and related probabilistic results O. Guédon; A few updates and pointers G. Pisier; On the mesh condition for Sidon sets L. Rodriguez-Piazza; Bibliography; Author index; Notation index; Subject index.

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Book SynopsisDespite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deeper and better understood. Aimed at beginning graduate students, this textbook is the first to explain some of the most modern parts of the story. Such topics include the Chebychev bias, universality of the Riemann zeta function, exponential sums and the bewitching shapes known as Kloosterman paths. Emphasis is given throughout to probabilistic ideas in the arguments, not just the final statements, and the focus is on key examples over technicalities. The book develops probabilistic number theory from scratch, with short appendices summarizing the most important background results from number theory, analysis and probability, making it a readable and incisive introduction to this beautiful arTrade Review'an excellent resource for someone trying to enter the field of probabilistic number theory' Bookshelf by Notices of the American Mathematical Society'The book contains many exercises and three appendices presenting the material from analysis, probability and number theory that is used. Certainly the book is a good read for a mathematicians interested in the interaction between probability theory and number theory. The techniques used in the book appear quite advanced to us, so we would recommend the book for students at a graduate but not at an undergraduate level.' Jörg Neunhäuserer, Mathematical ReviewsTable of Contents1. Introduction; 2. Classical probabilistic number theory; 3. The distribution of values of the Riemann zeta function, I; 4. The distribution of values of the Riemann zeta function, II; 5. The Chebychev bias; 6. The shape of exponential sums; 7. Further topics; Appendix A. Analysis; Appendix B. Probability; Appendix C. Number theory; References; Index.

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Book SynopsisWorld-renowned client relationship authority shows you how to dramatically grow your business by mastering fourteen critical client development challenges Andrew Sobel, author of the international bestsellersClients for LifeandPower Questions,offers a proven,100-day plan for conquering 14 tough client development challenges and growing your client base in any market conditions. He's encapsulated 25 years of unique research, including personal interviews with over 8000 top executives and successful rainmakers, into a practical roadmap for winning more new clients and growing your existing relationships. You'll learn specific strategies to move confidently and predictably from a first meeting to a signed contract, and discover the agenda-setting techniques that create a steady stream of sole-source business. You'll master the art of reframing client requests, leading to broader, higher-impact engagements. You'll dramatically sharpen your ability to aTable of ContentsDay 1 The Star of Your Show 1 Week 1 Choose Your Target 11 Week 2 Get Recognized 21 Week 3 Find Your Clients 37 Week 4 Master the First Meeting 51 Week 5 From Contact to Contract 73 Week 6 Free Up a Stuck Sale 91 Week 7 Anticipate and Agenda Set 111 Week 8 Reframe for Maximum Impact 123 Week 9 Grow Your Relationships: The 10-Minute Plan 139 Week 10 Use Power Questions 157 Week 11 Be a Brilliant Big-Picture Thinker 173 Week 12 Get Clients to Root for You 189 Week 13 Build Senior Executive Relationships 201 Week 14 Become an Irresistible Person of Interest 217 Day 100 Keep Your Clients for Life 229 About the Author 237

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Book SynopsisThe easy (okay, easier) way to master advanced calculus topics and theories Calculus II For Dummies will help you get through your (notoriously difficult) calc classor pass a standardized test like the MCAT with flying colors. Calculus is required for many majors, but not everyone's a natural at it. This friendly book breaks down tricky concepts in plain English, in a way that you can understand. Practical examples and detailed walkthroughs help you manage differentiation, integration, and everything in between. You'll refresh your knowledge of algebra, pre-calc and Calculus I topics, then move on to the more advanced stuff, with plenty of problem-solving tips along the way. Review Algebra, Pre-Calculus, and Calculus I conceptsMake sense of complicated processes and equationsGet clear explanations of how to use trigonometry functionsWalk through practice examples to master Calc IIUse this essential resource as a supplement to your textbook or as refresher before taking a testit's packed with all the helpful knowledge you need to succeed in Calculus II.Table of ContentsIntroduction 1 Part 1: Introduction to Integration 7 Chapter 1: An Aerial View of the Area Problem 9 Chapter 2: Forgotten but Not Gone: Review of Algebra and Pre-Calculus 27 Chapter 3: Recent Memories: Review of Calculus I 53 Part 2: From Definite to Indefinite Integrals 73 Chapter 4: Approximating Area with Riemann Sums 75 Chapter 5: There Must Be a Better Way — Introducing the Indefinite Integral 87 Part 3: Evaluating Indefinite Integrals 103 Chapter 6: Instant Integration: Just Add Water (And C) 105 Chapter 7: Sharpening Your Integration Moves 117 Chapter 8: Here’s Looking at U-Substitution 141 Part 4: Advanced Integration Techniques 153 Chapter 9: Parting Ways: Integration by Parts 155 Chapter 10: Trig Substitution: Knowing All the (Tri)Angles 173 Chapter 11: Rational Solutions: Integration with Partial Fractions 197 Part 5: Applications of Integrals 219 Chapter 12: Forging into New Areas: Solving Area Problems 221 Chapter 13: Pump Up the Volume: Using Calculus to Solve 3-D Problems 243 Chapter 14: What’s So Different about Differential Equations? 265 Part 6: Infinite Series 275 Chapter 15: Following a Sequence, Winning the Series 277 Chapter 16: Where Is This Going? Testing for Convergence and Divergence 295 Chapter 17: Dressing Up Functions with the Taylor Series 319 Part 7: The Part of Tens 341 Chapter 18: Ten “Aha!” Insights in Calculus II 343 Chapter 19: Ten Tips to Take to the Test 351 Index 357

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Book SynopsisThis class-tested textbook will provide in-depth coverage of the fundamentals of machine learning, with an exploration of applications in information security. The book will cover malware detection, cryptography, and intrusion detection. The book will be relevant for students in machine learning and computer security courses.

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Book SynopsisTable of ContentsP. Prerequisites: Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real Numbers P.2 Exponents and Scientific Notation P.3 Radicals and Rational Exponents P.4 Polynomials Mid-Chapter Check Point P.5 Factoring Polynomials P.6 Rational Expressions SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER P TEST 1. Equations and Inequalities 1.1 Graphs and Graphing Utilities 1.2 Linear Equations and Rational Equations 1.3 Models and Applications 1.4 Complex Numbers 1.5 Quadratic Equations Mid-Chapter Check Point 1.6 Other Types of Equations 1.7 Linear Inequalities and Absolute Value Inequalities SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 1 TEST 2. Functions and Graphs 2.1 Basics of Functions and Their Graphs 2.2 More on Functions and Their Graphs 2.3 Linear Functions and Slope 2.4 More on Slope Mid-Chapter Check Point 2.5 Transformations of Functions 2.6 Combinations of Functions; Composite Functions 2.7 Inverse Functions 2.8 Distance and Midpoint Formulas; Circles SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 2 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-2) 3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions and Their Graphs 3.3 Dividing Polynomials; Remainder and Factor Theorems 3.4 Zeros of Polynomial Functions Mid-Chapter Check Point 3.5 Rational Functions and Their Graphs 3.6 Polynomial and Rational Inequalities 3.7 Modeling Using Variation SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 3 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-3) 410 4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Properties of Logarithms Mid-Chapter Check Point 4.4 Exponential and Logarithmic Equations 4.5 Exponential Growth and Decay; Modeling Data SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 4 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-4) 5. Systems of Equations and Inequalities 5.1 Systems of Linear Equations in Two Variables 5.2 Systems of Linear Equations in Three Variables 5.3 Partial Fractions 5.4 Systems of Nonlinear Equations in Two Variables Mid-Chapter Check Point 5.5 Systems of Inequalities 5.6 Linear Programming SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 5 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-5) 6. Matrices and Determinants 6.1 Matrix Solutions to Linear Systems 6.2 Inconsistent and Dependent Systems and Their Applications 6.3 Matrix Operations and Their Applications Mid-Chapter Check Point 6.4 Multiplicative Inverses of Matrices and Matrix Equations 6.5 Determinants and Cramer's Rule SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 6 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-6) 7. Conic Sections 7.1 The Ellipse 7.2 The Hyperbola Mid-Chapter Check Point 7.3 The Parabola SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 7 TEST

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Book SynopsisProgress to Edexcel AS Mathematics Workbook is your stepping stone to starting the AS Mathematics course with confidence. Work through this write-on workbook unit by unit to cover the key algebra you need to bridge successfully from GCSE to AS Mathematics.

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Book SynopsisYour financial future is too important to leave to chance. Find purpose for your money and freedom for yourself and family. Experiencing The American Dream: How to Invest Your Time, Energy, and Money to Create an Extraordinary Life is a compelling book with clear, potentially life-altering truths about economics and investing. As you read it, you''ll engage in a profound exploration of your family''s financial future. Discover what investing is, how it works, and how it can help fulfill your purpose for life. You will have the opportunity to alter your relationship to money and investing in a way that leaves you, and those you care about, powerfully pursuing your dreams. If you''re committed to creating a life of freedom for you and those you love, you can benefit from what Experiencing the American Dream has to teach you. It''s a breakthrough in financial education, backed by Nobel Prize winning research, designed to provide you with the to

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Book SynopsisExam board: AQALevel: A levelSubject: MathsFirst teaching: September 2017First exams: Summer 2019Provide full support for the AQA Discrete content of the new specification with worked examples, stimulating activities and assessment support to help develop understanding, reasoning and problem solving. - Help prepare students for assessment with skills-building activities and fully worked examples and solutions tailored to the changed criteria.- Build understanding through carefully worded expositions that set out the basics and the detail of each topic, with call-outs to add clarity.- Test knowledge and develop understanding, reasoning and problem solving with banded Exercise questions that increase in difficulty (answers provided in the back of the book and online). - Gain a full understanding of the logical steps that are used in creating each individual algorithm - Encourages students to track their progress using learning outcomes and Key Points listed at the end of each chapter.

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Book Synopsis'A brilliant account of how models are so often abused and of how they should be used' John KayHow do mathematical models shape our world - and how can we harness their power for good?Models are at the centre of everything we do. Whether we use them or are simply affected by them, they act as metaphors that help us better understand the increasingly complex problems facing us in the modern world. Without models, we couldn't begin to tackle three of the major challenges facing modern society: regulation of the economy, climate change and the COVID-19 pandemic. Yet in recent years, the validity of the models we use has been hotly debated and there has been renewed awareness of the disastrous consequences when the makers and interpreters of models get things wrong.Drawing on contemporary examples from finance, climate and health policy, Erica Thompson explores what models are, why we need them, how they work and what happens when they go wrong. This is not a book that argues we should do away with models, but rather, that we need to properly understand how they are constructed - and how some of the assumptions that underlie the models we use can have significant unintended consequences. Unexpectedly humorous, thought-provoking and passionate, this is essential reading for everyone.Trade ReviewA brilliant account of how models are so often abused and of how they should be used -- John KayA wise, lucid and compelling guide to how mathematical modelling shapes our world. Dr Thompson teaches us how to go from being unthinking consumers of models to sophisticated users, combining a rich variety of vivid examples and case studies with deep conceptual expertise -- Stian Westlake, CEO, Royal Statistical SocietyDemystifies the process of making the mathematical models that are increasingly used to make decisions about our lives . . . A thought-provoking and helpful guide for data scientists and decision makers alike -- Stephanie Hare, author of TECHNOLOGY IS NOT NEUTRALCarefully researched and beautifully written . . . For an open-minded reader keen to expose, understand and potentially reconstruct their own worldview, Escape from Model Land is, at the same time, an uncomfortable and uplifting read. It shines a gentle light on many of our own norms and beliefs -- Kevin AndersonAn eye-opening account . . . Thompson offers a host of lessons . . . The result is a thoughtful, convincing look at how data works -- Publisher's WeeklyBrilliant . . . a highly engaging work of popular science -- E&T Magazine[A] healthy realism about data, algorithms and their limitations . . . Thompson asks data scientists to be conscious of the choices and values in a model's design . . . [offering] the basis for a constructive agenda -- The EconomistData, computing power, AI, and the models that use them will continue to proliferate. The wisdom, life experience, and humility to make the best use of those powerful tools will remain scarce. This delightfully wide-ranging book offers heaps of the latter to help us generate genuine insights from the former -- Charles J. Wheelan, bestselling author of NAKED STATISTICSOffers a contemplative, densely encapsulated summary of her reflection and research . . . it's up to us to learn from models without being drawn in by their seductive elegance, and to ensure that the lessons from Model Land find substantive expression where it actually matters: in our messy, material, magnificent world -- Wall Street Journal

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Book Synopsis"Let no one ignorant of geometry enter here," Plato warned would-be philosophers. Mathematician Karl Sigmund agrees.In The Waltz of Reason, he shows how mathematics and philosophy together have shaped our understanding of space, chance, logic, cooperation, voting, and the social contract. Sigmund shows how game theory is integral to moral philosophy, how statistics shaped the meaning of reason, and how the search for a logical basis for math leads to deep questions about the nature of truth itself. But this is no dry tome: Sigmund's wit and humour shine as brightly as his erudition.The Waltz of Reason is an engrossing history of ideas as vibrant as a ballroom full of dancers, one that empowers as it entertains, following the complex and occasionally dizzying steps of the thinkers who have moulded our thought and founded our world.

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Book SynopsisLogicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In Logicism Renewed, the author revisits this concept in light of advances in mathematical logic and the need for languages that can be understood by both humans and computers that require distinguishing between the intension and extension of predicates. Using Intensional Type Theory (ITT) the author provides a unified foundation for mathematics and computer science, yielding a much simpler foundation for recursion theory and the semantics of computer programs than that currently provided by category theory.

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Book SynopsisSecond Edition.

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Book SynopsisIf memories of learning algebra bring you out in a cold sweat and thoughts of quadratic equations cause you feelings of fear and dread, I Used to Know That: Maths can help. A light-hearted and informative reminder of the things that we learnt in school but have since become relegated to the backs of our minds, this book will help you to brush up on your mental arithmetic, including percentages, averages and recurring decimals or work on your trigonometry skills, from Pythagoras' theorem to triangle areas and angles. It can be used a practical guide to turn to when an answer is eluding you, from helping a child with homework to calculating change or understanding statistics. I Used to Know That: Maths is a fun and accessible way to re-visit all those useful tips and maths tricks that you have forgotten from your school days.Trade ReviewKey concepts are defined and explained in a simple way in this very useful book * Parents in Touch *Highly recommended * The Bookbag *

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Book SynopsisUncover the language of our universe - numbers - in this wide-ranging whistle-stop tour of the history and majesty of mathematics.Our world simply wouldn't function if we didn't have numbers. But where do they come from? Why do we cut cake the wrong way? How can there be different sizes of infinity?All these questions and more are answered in this engaging romp through the history of numbers by acclaimed science writer, Colin Stuart. From the mathematicians who have (and haven't) shouted 'Eureka!' to the theories that affect and inform our everyday lives; Numbers shows us that maths was never boring - we were just being taught it in the wrong way.Consisting of ten bite-sized essays, there's no better guide to this fundamental science.

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Book SynopsisIn this book the authors aim to endow the reader with an operational, conceptual, and methodological understanding of the discrete mathematics that can be used to study, understand, and perform computing. They want the reader to understand the elements of computing, rather than just know them. The basic topics are presented in a way that encourages readers to develop their personal way of thinking about mathematics. Many topics are developed at several levels, in a single voice, with sample applications from within the world of computing. Extensive historical and cultural asides emphasize the human side of mathematics and mathematicians.By means of lessons and exercises on “doing” mathematics, the book prepares interested readers to develop new concepts and invent new techniques and technologies that will enhance all aspects of computing. The book will be of value to students, scientists, and engineers engaged in the design and use of computing systems, and to scholars and practitioners beyond these technical fields who want to learn and apply novel computational ideas.Trade Review“The text is written in an easy to read format which generously incorporates narratives from the history of mathematics as well as rigorous proofs of the concepts presented. The appendices and references to other texts provide the reader with numerous sources of supplementary information for those wishing to delve into a subject at a deeper level … . chapters are organized and clearly labeled to express which sections are appropriate for a beginning learner, an intermediate learner, or the specialist.” (Tom French, MAA Reviews, October 3, 2021)“Each chapter comes with several exercises from easy to difficult, the latter with complete solutions in the appendix. To accommodate the book to readers with different backgrounds and goals, the authors provide a guide which gives paths through the book for several courses. The exposition is always clear and motivating, no prerequisites are presumed, all terms and concepts are defined precisely, and there are many look-and-see proofs.” (Dieter Riebesehl, zbMATH 1465.68004, 2021)Table of ContentsIntroduction.- “Doing” Mathematics: A Toolkit for Mathematical Reasoning.- Sets and Their Algebras: The Stem Cells of Mathematics.- Numbers I: The Basics of Our Number System.- Arithmetic: Putting Numbers to Work.- Summations: Complex Operations from Simple Components.- The Vertigo of Infinity: Handling the Very Large and the Infinite.- Numbers II: Building the Integers and Building with the Integers.- Recurrences: Rendering Complex Structure Manageable.- Numbers III: Operational Representations and Their Consequences.- The Art of Counting: Combinatorics, Probability, and Statistics.- Graphs I: Representing Relationships Mathematically.- Graphs II: Graphs Within Computation and Communication.- Solutions to Exercises.- App. A, Pairing Functions.- App. B, A Deeper Look at the Fibonacci Numbers.- App. C, Two Recurrence-Defined Number Families.- App. D, Signed-Digit Numerals: Carry-Free Addition.- App. E, The Diverse Delights of de Bruijn Networks.- List of Symbols.- References.- Index.

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This book sheds new light on stochastic calculus, the branch of mathematics that is most widely applied in financial engineering and mathematical finance. The first book to introduce pathwise formulae for the stochastic integral, it provides a simple but rigorous treatment of the subject, including a range of advanced topics. The book discusses in-depth topics such as quadratic variation, Ito formula, and Emery topology. The authors briefly addresses continuous semi-martingales to obtain growth estimates and study solution of a stochastic differential equation (SDE) by using the technique of random time change. Later, by using Metivier–Pellaumail inequality, the solutions to SDEs driven by general semi-martingales are discussed. The connection of the theory with mathematical finance is briefly discussed and the book has extensive treatment on the representation of martingales as stochastic integrals and a second fundamental theorem of asset pricing. Intended for undergraduate- and beginning graduate-level students in the engineering and mathematics disciplines, the book is also an excellent reference resource for applied mathematicians and statisticians looking for a review of the topic.

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Book SynopsisYes, this is another Calculus book. However, it fits in a niche between the two predominant types of such texts. It could be used as a textbook, albeit a streamlined one — it contains exposition on each topic, with an introduction, rationale, train of thought, and solved examples with accompanying suggested exercises. It could be used as a solution guide — because it contains full written solutions to each of the hundreds of exercises posed inside. But its best position is right in between these two extremes. It is best used as a companion to a traditional text or as a refresher — with its conversational tone, its 'get right to it' content structure, and its inclusion of complete solutions to many problems, it is a friendly partner for students who are learning Calculus, either in class or via self-study.Exercises are structured in three sets to force multiple encounters with each topic. Solved examples in the text are accompanied by 'You Try It' problems, which are similar to the solved examples; the students use these to see if they're ready to move forward. Then at the end of the section, there are 'Practice Problems': more problems similar to the 'You Try It' problems, but given all at once. Finally, each section has Challenge Problems — these lean to being equally or a bit more difficult than the others, and they allow students to check on what they've mastered.The goal is to keep the students engaged with the text, and so the writing style is very informal, with attempts at humor along the way. The target audience is STEM students including those in engineering and meteorology programs.

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Book SynopsisThis book is a textbook for a semester-long or year-long introductory course in abstract algebra at the upper undergraduate or beginning graduate level.It treats set theory, group theory, ring and ideal theory, and field theory (including Galois theory), and culminates with a treatment of Dedekind rings, including rings of algebraic integers.In addition to treating standard topics, it contains material not often dealt with in books at this level. It provides a fresh perspective on the subjects it covers, with, in particular, distinctive treatments of factorization theory in integral domains and of Galois theory.As an introduction, it presupposes no prior knowledge of abstract algebra, but provides a well-motivated, clear, and rigorous treatment of the subject, illustrated by many examples. Written with an eye toward number theory, it contains numerous applications to number theory (including proofs of Fermat's theorem on sums of two squares and of the Law of Quadratic Reciprocity) and serves as an excellent basis for further study in algebra in general and number theory in particular.Each of its chapters concludes with a variety of exercises ranging from the straightforward to the challenging in order to reinforce students' knowledge of the subject. Some of these are particular examples that illustrate the theory while others are general results that develop the theory further.

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a huge range and FREE tracked UK delivery on ALL orders.

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Book SynopsisInspire and engage your students with this fully updated Lower Secondary Maths course from Collins offering comprehensive coverage of the curriculum framework and Thinking and Working Mathematically skills. Written by an experienced team, each Stage (79) comprises a comprehensive Student's Book, extensive Workbook and supportive Teacher's Guide.Develop your students' maths mastery and confidence with a strong emphasis on Thinking and Working Mathematically integrated throughout the course. This Stage 8 Student's Book provides comprehensive curriculum coverage and follows a mastery approach, with topics being thoroughly embedded before learners move on. New concepts are presented through worked examples, which lead learners, step-by-step, through the concepts, with clear and detailed explanations. Links are made between topics, encouraging learners to build on relevant fluency from previously learnt topics, and practise mathematical concepts in a different context. Learners develop 21st

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Book SynopsisOther refinements in the new edition include an enlarged biography of Emmy Noether's life and work, parallels drawn between the present approach and Noether's original 1918 paper, and a summary of the logic behind Noether's theorem.Trade ReviewAs this book is well written and contains a very good set of exercises, it can serve as the primary text for a special topics course.—ChoiceNadis gives no technical details, but Neuenschwander does, in a book for physics majors with a strong background in mathematics; the book does not shy away from Lie groups and the study of invariants. This new edition delves into distinctions between two Noether theorems and adds more exercises, references, and details.—Mathematics MagazineNeuenschwander sets out from the beginning to help the reader who must be familiar with calculus and a few other standard topics, but who is not yet fluent in these areas... His role is to be the teacher on the side, prompting the reader with interesting observations and questions... He anticipates problems, guides you yet also makes you think things through... Not only a very worthwhile read for its content but also for its style.—Ken Zetie, St. Paul's School, Mathematical GazetteWell-written... Throughout there is reference to the life of Emmy Noether, including the many difficulties related to being a woman in a man's world... I am glad her story is given an airing here as she fails to be as famous as she undoubtedly should be.—Phil Dyke, FIMA, Mathematics TodayTechnical and yet ultimately poetic book on Emmy Neother's wonderful theorems... Neuenschwander's work is recommended for anyone who wants to gain a deeper understanding and appreciation of the physics and mathematics behind Emmy Noether's work, as well as the particular challenges she faced in her life.—Miriam R. Aczel, Centre for Environmental Policy, Imperial College London, Contemporary PhysicsTable of ContentsPrefaceAcknowledgmentsQuestionsPart I. When Functionals Are External 1. Symmetry1.1. Symmetry, Invariances, and Conservation Laws1.2. Meet Emmy Noether2. Functionals2.1. Single-Integral Functionals2.2. Formal Definition of a Functional3. Extremals3.1. The Euler-Lagrange Equation3.2. Conservation Laws as Corollariesto the Euler-Lagrange Equation3.3. On the Equivalence of Hamilton's Principleand Newton's Second Law3.4. Where Do Functional Extremal PrinciplesCome From?3.5. Why Kinetic Minus Potential Energy?3.6. Extremals with External ConstraintsPart II. When Functionals Are Invariant 4. Invariance4.1. Formal Definition of Invariance4.2. The Invariance Identity4.3. A More Liberal Definition of Invariance5. Emmy Noether's Elegant (First) Theorem5.1. Invariance + Extremal = Noether's Theorem5.2. Executive Summary of Noether's Theorem5.3. "Extremal" or "Stationary"?5.4. An Inverse Problem5.5. Adiabatic Invariance in Noether's TheoremPart III. The Invariance of Fields6. Noether's Theorem and Fields6.1. Multiple-Integral Functionals6.2. Euler-Lagrange Equations for Fields6.3. Canonical Momentum and the HamiltonianTensor for Fields6.4. Equations of Continuity6.5. The Invariance Identity for Fields6.6. Noether's Theorem for Fields6.7. Complex Fields6.8. Global Gauge Transformations7. Local Gauge Transformations of Fields7.1. Local Gauge Invariance and Minimal Coupling7.2. Electrodynamics as a Gauge Theory,Part 17.3. Pure Electrodynamics, Spacetime Invariances,and Conservation Laws7.4. Electrodynamics as a Gauge Theory,Part 27.5. Local Gauge Invariance and Noether Currents7.6. Internal Degrees of Freedom7.7. Noether's Theorem and GaugedInternal Symmetries8. Emmy Noether's Elegant (Second) Theorem8.1. Two Noether Theorems8.2. Noether's Second Theorem8.3. Parametric Invariance8.4. Free Fall in a Gravitational Field8.5. The Gravitational Field Equations8.6. The Functionals of General Relativity8.7. Gauge Transformations on Spacetime8.8. Noether's Resolution of an Enigma inGeneral RelativityPart IV. Trans-Noether Invariance9. Invariance in Phase Space9.1. Phase Space9.2. Hamilton's Principle in Phase Space9.3. Noether's Theorem and Hamilton's Equations9.4. Hamilton-Jacobi Theory10. The Action as a Generator10.1. Conservation of Probabilityand Continuous Transformations10.2. The Poetry of NatureAppendixesA. Scalars, Vectors, and TensorsB. Special RelativityC. Equations of Motion in Quantum MechanicsD. Conjugate Variables and Legendre TransformationsE. The JacobianF. The Covariant DerivativeBibliographyIndex

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Book SynopsisDiscover the relevance of mathematics in your own life as you master important concepts and skills in Waner/Costenoble's APPLIED CALCULUS, 8th Edition. Updated, numerous examples and applications use real data from well-known businesses, current economic and life events -- from cryptocurrency to COVID -- to demonstrate how the principles you are learning impact you. Readable, streamlined content clearly presents concepts while numerous learning features and tools help you review and practice. Spreadsheet and TI graphing calculator instructions appear where needed. In addition, WebAssign online tools and an interactive eTextbook include teaching videos by an award-winning instructor. You can refine your skills in the necessary math prerequisites with additional examples and powerful adaptive practice sessions. A helpful website from the authors also offers online tutorials and videos on every topic to support your learning, no matter what your learning style.Table of Contents0. PRECALCULUS REVIEW. Real Numbers. Exponents and Radicals. Using Exponent Identities Multiplying and Factoring Algebraic Equations. Rational Expressions. Solving Polynomial Equations. Solving Miscellaneous Equations. The Coordinate Plane. Logarithms. 1. FUNCTIONS AND APPLICATIONS. Functions from the Numerical, Algebraic, and Graphical Viewpoints. Functions and Models. Linear Functions and Models. Linear Regression. 2. NONLINEAR FUNCTIONS AND MODELS. Quadratic Functions and Models. Exponential Functions and Models. The Number e and Exponential Growth and Decay. Logistic and Logarithmic Functions and Models.. 3. INTRODUCTION TO THE DERIVATIVE. Limits: Numerical and GraphicalViewpoints. Limits and Continuity. Limits: Algebraic Viewpoint. Average Rate of Change. Derivatives: Numerical and Graphical Viewpoints. Derivatives: Algebraic Viewpoint. 4. TECHNIQUES OF DIFFERENTIATION. Derivatives of Powers, Sums, and Constant Multiples. A First Application: Marginal Analysis. The Product and Quotient Rules. The Chain Rule. Derivatives of Logarithmic and Exponential Functions. Implicit Differentiation. 5. APPLICATIONS OF THE DERIVATIVE. Maxima and Minima. Applications of Maxima and Minima. Higher Order Derivatives: Acceleration and Concavity. Analyzing Graphs. Related Rates. Elasticity. 6. THE INTEGRAL. The Indefinite Integral. Substitution. The Definite Integral. The Fundamental Theorem of Calculus. 7. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL. Integration by Parts. Area Between Two Curves. Averages and Moving Averages. Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams. Improper Integrals and Applications. Differential Equations and Applications. 8. FUNCTIONS OF SEVERAL VARIABLES. Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints. Partial Derivatives. Maxima and Minima. Constrained Maxima and Minima and Applications. Double Integrals and Applications. 9. TRIGONOMETRIC MODELS. Trigonometric Functions, Models, and Regression. Derivatives of Trigonometric Functions and Applications. Integrals of Trigonometric Functions and Applications.

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Book SynopsisTrade Review"Finalist for the PROSE Award in Mathematics, Association of American Publishers""Needham proposes to provide a truly geometric 'visual' explication of differential geometry, and he succeeds brilliantly. I know nothing like it in the literature."---Frank Morgan, EMS Magazine"[The] book offers a truly unique and original take on differential geometry, and it amply deserves inclusion within the pantheon of textbook deities."---Eric Poisson, Notices of the AMS"This is a valuable and beautifully created guide to what can at first seem a confusing area of mathematical physics. There are other contenders that try to teach this subject, but this is the best that I have come across so far and I will continue to enjoy learning from it (and almost certainly teaching from it) over the coming years, I am sure."---Jonathan Shock, Mathemafrica"[Proactively] rethinks the way this important area of mathematics should be considered and taught." * MathSciNet *"The book is a remarkable and highly original approach to the basic stem of differential geometry. And that mathematical trunk has roots and branches in so many other unexpected yet related subjects, each of which can be equally well approached from the same geometrical point of view."---Adhemar Bultheel, MAA Reviews"[Visual Differential Geometry and Forms] its peers. It is fun to read and provides a unique and intuitive approach to differential geometry. The author’s passion for the subject is evident throughout the book. Although Needham’s approach is unorthodox, it is rewarding, and complements the exposition found in standard textbooks."---Sean M. Eli & Krešmir Josić, SIAM Review

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Book SynopsisMaths Progress (Second Edition) develops reasoning, fluency and problem-solving to boost students’ confidence at Key Stage 3 and give them the best preparation for progressing to GCSE study.

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Book Synopsis“In Gonick’s work, clever design and illustration make complicated ideas or insights strikingly clear.”—New York Times Book ReviewLarry Gonick, master cartoonist, former Harvard instructor, and creator of the New York Times bestselling, Harvey Award-winning Cartoon Guide series now does for calculus what he previously did for science and history: making a complex subject comprehensible, fascinating, and fun through witty text and light-hearted graphics. Gonick’s The Cartoon Guide to Calculus is a refreshingly humorous, remarkably thorough guide to general calculus that, like his earlier Cartoon Guide to Physics and Cartoon History of the Modern World, will prove a boon to students, educators, and eager learners everywhere.Trade Review"How do you humanize calculus and bring its equations and concepts to life? Larry Gonick's clever and delightful answer is to have characters talking, commenting, and joking-all while rigorously teaching equations and concepts and indicating calculus's utility. It's a remarkable accomplishment-and a lot of fun." -- Lisa Randall, Professor of Physics, Harvard University, and author of Knocking on Heaven's Door Gonick is to graphical expositions of advanced materials as Newton or Leibniz is to calculus. The difference is that Gonick has no rival. -- Xiao-Li Meng, Whipple V. N. Jones Professor of Statistics and Department Chair, Harvard University Larry Gonick's sparkling and inventive drawings make a vivid picture out of every one of the hundreds of formulas that underlie Calculus. Even the jokers in the back row will ace the course with this book. -- David Mumford, Professor emeritus of Applied Mathematics at Brown University and recipient of the National Medal of Science I always thought that there are no magic tricks that use calculus. Larry Gonick proves me wrong. His book is correct, clear and interesting. It is filled with magical insights into this most beautiful subject. -- Persi Diaconis, Professor of Mathematics, Stanford It has no mean derivative results about the only derivatives that matter... A spunky tool-toting heroine called Delta Wye seems the perfect role model for our next generation. -- Susan Holmes, Professor of Statistics, Stanford A creative take on an old, and for many, tough subject...Gonick's cartoons and intelligent humor make it a fun read. -- Amy Langville, Recipient of the Distinguished Researcher Award at College of Charleston and South Carolina Faculty of the Year

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Book SynopsisTable of ContentsChapter 1: The Law of AttractionThe battle between Friction and Fuel Chapter 2: Thinking in FuelThe reasons a Fuel-based mindset rules the world Chapter 3: InertiaWhy we stick with what we know Chapter 4: Overcoming InertiaHow to transform a novel idea into a familiar friend Chapter 5: EffortWhy we follow the path of least resistance Chapter 6: Overcoming EffortHow to build aerodynamic ideas Chapter 7: EmotionWhy the best ideas produce the most anxiety Chapter 8: Overcoming EmotionHow to quiet the fears that impede progress Chapter 9: ReactanceWhy we feel the impulse to resist change Chapter 10: Overcoming ReactanceHow to help your audience persuade themselves Chapter 11: Three Case Studies End Notes Acknowledgments?? About the Authors Index

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Book SynopsisTable of Contents1. SPEAKING MATHEMATICALLY. Variables. The Language of Sets. The Language of Relations and Functions. The Language of Graphs. 2. THE LOGIC OF COMPOUND STATEMENTS. Logical Form and Logical Equivalence. Conditional Statements. Valid and Invalid Arguments. Application: Digital Logic Circuits. Application: Number Systems and Circuits for Addition. 3. THE LOGIC OF QUANTIFIED STATEMENTS. Predicates and Quantified Statements I. Predicates and Quantified Statements II. Statements with Multiple Quantifiers. Arguments with Quantified Statements. 4. ELEMENTARY NUMBER THEORY AND METHODS OF PROOF. Direct Proof and Counterexample I: Introduction. Direct Proof and Counterexample II: Writing Advice. Direct Proof and Counterexample III: Rational Numbers. Direct Proof and Counterexample IV: Divisibility. Direct Proof and Counterexample V: Division into Cases and the Quotient-Remainder Theorem. Direct Proof and Counterexample VI: Floor and Ceiling. Indirect Argument: Contradiction and Contraposition. Indirect Argument: Two Famous Theorems. Application: Algorithms. 5. SEQUENCES, MATHEMATICAL INDUCTION, AND RECURSION. Sequences. Mathematical Induction I: Proving Formulas. Mathematical Induction II: Applications. Strong Mathematical Induction and the Well-Ordering Principle. Application: Correctness of Algorithms. Defining Sequences Recursively. Solving Recurrence Relations by Iteration. Second-Order Linear Homogeneous Recurrence Relations with Constant Coefficients. General Recursive Definitions and Structural Induction. 6. SET THEORY. Set Theory: Definitions and the Element Method of Proof. Properties of Sets. Disproofs and Algebraic Proofs. Boolean Algebras, Russell���s Paradox, and the Halting Problem. 7. PROPERTIES OF FUNCTIONS. Functions Defined on General Sets. One-to-one, Onto, and Inverse Functions. Composition of Functions. Cardinality with Applications to Computability. 8. PROPERTIES OF RELATIONS. Relations on Sets. Reflexivity, Symmetry, and Transitivity. Equivalence Relations. Modular Arithmetic with Applications to Cryptography. Partial Order Relations. 9. COUNTING AND PROBABILITY Introduction. Possibility Trees and the Multiplication Rule. Counting Elements of Disjoint Sets: The Addition Rule. The Pigeonhole Principle. Counting Subsets of a Set: Combinations. r-Combinations with Repetition Allowed. Pascal���s Formula and the Binomial Theorem. Probability Axioms and Expected Value. Conditional Probability, Bayes��� Formula, and Independent Events. 10. THEORY OF GRAPHS AND TREES. Trails, Paths, and Circuits. Matrix Representations of Graphs. Isomorphisms of Graphs. Trees: Examples and Basic Properties. Rooted Trees. Spanning Trees and a Shortest Path Algorithm. 11. ANALYSIS OF ALGORITHM EFFICIENCY. Real-Valued Functions of a Real Variable and Their Graphs. O-, ���-, and ���-Notations. Application: Analysis of Algorithm Efficiency I. Exponential and Logarithmic Functions: Graphs and Orders. Application: Analysis of Algorithm Efficiency II. 12. REGULAR EXPRESSIONS AND FINITE STATE AUTOMATA. Formal Languages and Regular Expressions. Finite-State Automata. Simplifying Finite-State Automata.

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Book SynopsisStatistics for Engineers and Scientists stands out for its clear presentation of applied statistics. The book takes a practical approach to methods of statistical modeling and data analysis that are most often used in scientific work. This edition features a unique approach highlighted by an engaging writing style that explains difficult concepts clearly, along with the use of contemporary real world data sets, to help motivate students and show direct connections to industry and research. While focusing on practical applications of statistics, the text makes extensive use of examples to motivate fundamental concepts and to develop intuition.The new edition of Statistics for Engineers and Scientists is also available in McGraw Hill Connect, featuring SmartBook 2.0, Adaptive Learning Assignments, and more!Table of ContentsChapter 1: Sampling and Descriptive StatisticsChapter 2: ProbabilityChapter 3: Propagation of ErrorChapter 4: Commonly Used DistributionsChapter 5: Confidence IntervalsChapter 6: Hypothesis TestingChapter 7: Correlation and Simple Linear RegressionChapter 8: Multiple RegressionChapter 9: Factorial ExperimentsChapter 10: Statistical Quality Control

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