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Learn everything you need to know about Calculus and practice your reasoning and practical skills with a high-end textbook suitable for a wide range of course levels.

Calculus: A Complete Course, 10th Edition by Robert Adams and Christopher Essex is the ultimate guide written by two leading authors in the field that continues to build its solid core following the successful pattern of its previous editions.

With its reader-friendly language, the textbook holds a reputation for excellent accuracy and mathematical rigour, offering you study material suitable to cover a standard semester course, as well as high-end content that will help you further explore some of the unique topics and approaches in the landscape of Mathematics.

Adding important, but overlooked topics while clarifying old ones, this edition will help you develop and practice your reasoning skills and apply techniques you have learned to concrete situations. Some of the topics this edition explores include:

Sufficient conditions for maxima and minima in higher dimensions: this is the only mainstream textbook that covers the topic sufficiently. The fuzzy topic of metrics: the text explores and addresses any issues and questions, leading to new gateway topics, including spherical geometry (as in navigation) and special relativity, which emerge rather effortlessly once the metric concept is in place properly. Computers and mathematics through Maple and now Python: there is no other Calculus book that deals better with the topic while treating unique but important applications from information theory to Lévy distributions.

With a wide variety of exercises and useful features to support your learning, this unique edition continues to aspire to the definition of its subtitle of “A Complete Course.”

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CALCULUS: EARLY TRANSCENDENTALS, Metric, 9th Edition provides you with the strongest foundation for a STEM future. James Stewart’s Calculus, Metric series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, coauthors Daniel Clegg and Saleem Watson continue his legacy, and their careful refinements retain Stewart’s clarity of exposition and make the 9th Edition an even more usable learning tool. The accompanying WebAssign includes helpful learning support and new resources like Explore It interactive learning modules. Showing that Calculus is both practical and beautiful, the Stewart approach and WebAssign resources enhance understanding and build confidence for millions of students worldwide.

Over time, certain aspects of the course came to be seen as more signi?cant—those seen as giving a rigorous foundation to calculus—and they - came the basis for a new course, an introduction to real analysis, that eventually supplanted advanced calculus in the core.

The bestselling scientific series continues to expand! Fans of Chris Ferrie's Pythagorean Theorem for Babies, Organic Chemistry for Babies, and 8 Little Planets will love this introduction to calculus for babies and toddlers!From the #1 science author for kids comes this next installment in the bestselling Baby University series! Calculus for Babies introduces babies (and reminds grownups!) to the basic concepts behind calculus explained in an easy-to-understand and fun way!Written by an expert, this is the perfect book for enlightening the next generation of geniuses. It's never too early to become a mathematician or scientist!

Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics.The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.

Multivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook not only follows this programme, but additionally provides a solid description of the basic concepts, via familiar examples, which are then tested in technically demanding situations.

One of the most iconic characters in children’s literature Hergé’s classic comic book creation Tintin is one of the most recognisable characters in children’s books. These highly collectible editions of the original 24 adventures will delight Tintin fans old and new. Perfect for lovers of graphic novels, mysteries and historical adventures.The world’s most famous travelling reporter is confused by some very strange goings on involving shattering glass and an packet of cigarettes. But can he solve the mystery in time to protect Professor Calculus?Windows, mirrors and chandeliers are spontaneously shattering and Tintin is left flummoxed. After a shooting and a break in, Tintin knows Calculus is in danger, but he has only one clue – an unusual packet of cigarettes. He has a mystery to solve. But can he do it before a terrible weapon falls into the wrong hands?Join the most iconic character in comics as he embarks on an extraordinary adventure spanning historical and political events, and thrilling mysteries.The Adventures of Tintin continue to charm more than 90 years after they first found their way into publication. Since then more than 230 million copies have been sold, proving that comic books have the same power to entertain children and adults in the 21st century as they did in the early 20th.Hergé (Georges Remi) was born in Brussels in 1907. Over the course of 54 years he completed over 20 titles in The Adventures of Tintin series, which is now considered to be one of the greatest, if not the greatest, comics series of all time.Have you collected all the graphic novel adventures?Tintin in the Land of the SovietsTintin in AmericaTintin: Cigars of the PharaohTintin: The Blue LotusTintin: The Broken EarTintin: The Black IslandTintin: King Ottakar’s SceptreTintin: The Crab with the Golden ClawsTintin: The Shooting StarTintin: The Secret of the UnicornTintin: Red Rackham’s TreasureTintin: The Seven Crystal BallsTintin: Prisoners of the SunTintin: Land of Black GoldTintin: Destination MoonTintin: Explorers of the MoonTintin: The Calculus AffairTintin: The Red Sea SharksTintin in TibetTintin: The Castafiore EmeraldTintin: Flight 714 to SydneyThe Adventures of Tintin and the PicarosTintin and Alph-Art

The calculus of variations has a long history of interaction with other branches of mathematics such as geometry and differential equations, and with physics, particularly mechanics. More recently, the calculus of variations has found applications in other fields such as economics and electrical engineering. Much of the mathematics underlying control theory, for instance, can be regarded as part of the calculus of variations.This book is an introduction to the calculus of variations for mathematicians and scientists. The reader interested primarily in mathematics will find results of interest in geometry and differential equations. I have paused at times to develop the proofs of some of these results, and discuss briefly various topics not normally found in an introductory book on this subject such as the existence and uniqueness of solutions to boundary-value problems, the inverse problem, and Morse theory. I have made “passive use” of functional analysis (in particular normed vector spaces) to place certain results in context and reassure the mathematician that a suitable framework is available for a more rigorous study. For the reader interested mainly in techniques and applications of the calculus of variations, I leavened the book with numerous examples mostly from physics. In addition, topics such as Hamilton’s Principle, eigenvalue approximations, conservation laws, and nonholonomic constraints in mechanics are discussed. More importantly, the book is written on two levels. The technical details for many of the results can be skipped on the initial reading. The student can thus learn the main results in each chapter and return as needed to the proofs for a deeper understanding.

How do you make a decision with numbers? You have to use a kind of math called Boolean algebra—it’s a little strange because it only ever uses two numbers: 1 or 0, and 1+1 always equals 1. Despite this weirdness, this algebra is used to create the nanoscale circuits in every microchip.

This well-respected text offers an accessible introduction to functional programming concepts and techniques for students of mathematics and computer science. The treatment is as nontechnical as possible, assuming no prior knowledge of mathematics or functional programming. Numerous exercises appear throughout the text, and all problems feature complete solutions. 1989 edition.

Application-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, theorems on differentiation and antidifferentiation, the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Examples. 1967 edition. Solution guide available upon request.

Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be.Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus conceptsExplores sequences, series, and graphing common functionsInstructs you how to approximate area with integrationFeatures things to remember, things to forget, and things you can't get away withStop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.

Intended for a one- or two-semester course, this text applies basic, one-variable calculus to analyze the motion both of planets in their orbits as well as interplanetary spacecraft in their trajectories.  The remarkable spacecraft missions to the inner and outermost reaches of our solar system have been one of the greatest success stories of modern human history. Much of the underlying mathematical story is presented alongside the astonishing images and extensive data that NASA’s Voyager, NEAR-Shoemaker, Cassini, and Juno missions have sent back to us. First and second year college students in mathematics, engineering, or science, and those seeking an enriching independent study, will experience the mathematical language and methods of single variable calculus within their application to relevant conceptual and strategic aspects of the navigation of a spacecraft. The reader is expected to have taken one or two semesters of the basic calculus of derivatives, integrals, and the role that limits play. Additional prerequisites include knowledge of coordinate plane geometry, basic trigonometry, functions and graphs, including trig, inverse, exponential, and log functions.The discussions begin with the rich history of humanity’s efforts to understand the universe from the Greeks, to Newton and the Scientific Revolution, to Hubble and galaxies, to NASA and the space missions.   The calculus of polar functions that plays a central mathematical role is presented in a self-contained way in complete detail. Each of the six chapters is followed by an extensive problem set that deals with and also expands on the concerns of the chapter. The instructor has the flexibility to engage them with greater or lesser intensity.“I have been an aerospace engineer for 39 years and honestly, it would be hard for me to overstate how valuable I believe this book will be to numerous scientific and engineering disciplines and in particular to the future of aerospace engineering … This book is perfectly crafted to motivate, educate, and prepare the scientists and engineers who wish to reach for the sky and beyond.”   —Dr. Mario Zoccoli, Aerospace Engineer, NASA and Lockheed Martin

This book is intended for students familiar with a beginner's version of differential and integral calculus stressing only manipulation offormulas and who are now looking for a closer study of basic concepts combined with a more creative use of information. The work is primarily aimed at students in mathematics, engineering, and science who find themselves in transition from elementary calculus to rigorous courses in analysis. In addition, this book may also be of interest to those preparing to teach a course in calculus. Instead of exposing the reader to an excess of premature abstractions that so easily can degenerate into pedantry, I felt it more useful to stress instruc­ tive and stimulating examples. The book contains numerous worked out examples and many of the exercises are provided with helpful hints or a solution in outline. For further exercises the interested reader may want to consult a problem book by the author entitled Problems and Propositions in Analysis (New York: Marcel Dekker, 1979). For the history of calculus I recommend the book by C. B. Boyer, The Concepts of the Calculus (New York: Dover, 1949).

This textbook provides a gentle overview of fundamental concepts related to one-variable calculus. The original approach is a result of the author’s forty years of experience in teaching the subject at universities around the world. In this book, Dr. Zalduendo makes use of the history of mathematics and a friendly, conversational approach to attract the attention of the student, emphasizing what is more conceptually relevant and putting key notions in a historical perspective. Such an approach was conceived to help them to overcome potential difficulties in teaching and learning of this subject — caused, in many cases, by an excess of technicalities and computations.Besides covering the core of the discipline — real number, sequences and series, functions, derivatives, integrals, convexity and inequalities — the book is enriched by “side trips” to relevant subjects not usually seen in traditional calculus textbooks, touching on topics like curvature, theisoperimetric inequality, Riemann’s rearrangement theorem, Snell’s law, Buffon’s needle problem, Gregory’s series, random walk and the Gauss curve, and more. An insightful collection of exercises and applications completes this book, making it ideal as a supplementary textbook for a calculus course or the main textbook for an honors course on the subject.

A half-century ago, advanced calculus was a well-de?ned subject at the core of the undergraduate mathematics curriulum. The classic texts of Taylor [19], Buck [1], Widder [21], and Kaplan [9], for example, show some of the ways it was approached. Over time, certain aspects of the course came to be seen as more signi?cant—those seen as giving a rigorous foundation to calculus—and they - came the basis for a new course, an introduction to real analysis, that eventually supplanted advanced calculus in the core. Advanced calculus did not, in the process, become less important, but its role in the curriculum changed. In fact, a bifurcation occurred. In one direction we got c- culus on n-manifolds, a course beyond the practical reach of many undergraduates; in the other, we got calculus in two and three dimensions but still with the theorems of Stokes and Gauss as the goal. The latter course is intended for everyone who has had a year-long introduction to calculus; it often has a name like Calculus III. In my experience, though, it does not manage to accomplish what the old advancedcalculus course did. Multivariable calculusnaturallysplits intothreeparts:(1)severalfunctionsofonevariable,(2)one function of several variables, and (3) several functions of several variables. The ?rst two are well-developed in Calculus III, but the third is really too large and varied to be treated satisfactorily in the time remaining at the end of a semester. To put it another way: Green’s theorem ?ts comfortably; Stokes’ and Gauss’ do not.

Vector calculus is the foundation stone on which a vast amount of applied mathematics is based. Topics such as fluid dynamics, solid mechanics and electromagnetism depend heavily on the calculus of vector quantities in three dimensions. This book covers the material in a comprehensive but concise manner, combining mathematical rigour with physical insight. There are many diagrams to illustrate the physical meaning of the mathematical concepts, which is essential for a full understanding of the subject. Each chapter concludes with a summary of the most important points, and there are worked examples that cover all of the material. The final chapter introduces some of the most important applications of vector calculus, including mechanics and electromagnetism.

First course calculus texts have traditionally been either “engineering/science-oriented” with too little rigor, or have thrown students in the deep end with a rigorous analysis text. The How and Why of One Variable Calculus closes this gap in providing a rigorous treatment that takes an original and valuable approach between calculus and analysis. Logically organized and also very clear and user-friendly, it covers 6 main topics; real numbers, sequences, continuity, differentiation, integration, and series. It is primarily concerned with developing an understanding of the tools of calculus. The author presents numerous examples and exercises that illustrate how the techniques of calculus have universal application.The How and Why of One Variable Calculus presents an excellent text for a first course in calculus for students in the mathematical sciences, statistics and analytics, as well as a text for a bridge course between single and multi-variable calculus as well as between single variable calculus and upper level theory courses for math majors.

Many people take a calculus course and walk away remembering almost nothing-except vague ideas about slopes, curves, and something called a tangent. Thinking in Calculus is written for those readers, as well as anyone else with a firm grasp of algebra and trigonometry who is eager to learn the practical math underlying machine learning optimization, signals processing, planetary simulations, and other useful applications. Rather than teaching calculus as a collection of formulas and procedures, this book uses guided Jupyter Notebooks to introduce concepts like derivatives, integrals, the Fundamental Theorem, and dynamical systems through visualizations and real-world examples. Designed for curious self-learners, programmers, and students who want to understand what calculus is actually describing, Thinking in Calculus rebuilds the subject from the inside out- patiently and in context.

CALCULUS, Metric, 9th Edition, provides you with the strongest foundation for a STEM future. James Stewart’s Calculus, Metric series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy and their careful refinements retain Stewart’s clarity of exposition and make the 9th Edition an even more usable learning tool. The accompanying WebAssign includes helpful learning support and new resources like Explore It interactive learning modules. Showing that Calculus is both practical and beautiful, the Stewart approach and WebAssign resources enhance understanding and build confidence for millions of students worldwide.

SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTALS, Metric, 9th Edition, provides you with the strongest foundation for a STEM future. James Stewart’s Calculus, Metric series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy and their careful refinements retain Stewart’s clarity of exposition and make the 9th edition an even more usable learning tool. The accompanying WebAssign includes helpful learning support and new resources like Explore It interactive learning modules. Showing that Calculus is both practical and beautiful, the Stewart approach and WebAssign resources enhance understanding and build confidence for millions of students worldwide.

This is a user-friendly introduction to the methods of differential and integral calculus of one real variable. The key feature of this book is the care that has been taken to ease the transition from school to university maths. It presents new ideas in the context of existing mathematical experience, building on students A-level knowledge and extending it to the level encountered in first year degree courses in mathematics and the physical sciences. The emphasis is on both helping readers to understand the critical ideas, and developing their manipulative skills, so topics are explained using worked examples and exercises. Many of the explanations are based on geometry through studying graphs. The plotting capabilities of Maple are used to enhance understanding, although the book is written in such a way that the use of Maple is not essential, just an additional - and fun - aid to learning. Supplementary material, including further exercises, more detailed solutions to the exercises, and exam questions, will also be available via the web. Suitable for first year undergraduates in the mathematical sciences, and for courses such as engineering, where methods are important.

Support your students' knowledge of modern microeconomics from theory to practice. Microeconomics: Theory and Applications with Calculus, 5th Edition, Global Edition remains the premiere microeconomics text to marry formal theory with robust, thoroughly analysed real-world problems. Intended as an intermediate microeconomics text, Perloff introduces economic theory through a combination of calculus, algebra, and graphs. It then integrates estimated, real-life problems and applications, using a step-by-step approach to demonstrate how microeconomic theory can be applied to solve practical problems and policy issues. Compared with similar texts, the author places greater emphasis on using contemporary theories to analyse markets, so students are prepared to apply economic theory to the latest policy analysis in the field.

A sequel to the author's previous book, Calculus Set Free: Infinitesimals to the Rescue, this text explores all the key topics of multivariable calculus using infinitesimal methods. These recently developed infinitesimal procedures, based on the approximation relation, simplify limit-based computations and make many concepts more intuitive and accessible.Limit-based computations utilize infinitesimals, simplifying computations and making a wider variety of limits accessible. Definitions of double integrals, triple integrals, line integrals, and surface integrals, as well as related geometric and physical applications, are based on infinitely many subintervals (or subregions) of infinitesimal size, resulting more clearly in a sum and simplifying definitions. Local linearity is captured in an easily understood approximation formula, demystifying the use of straight objects instead of curved objects when developing integration formulas. Throughout the text, abundant use of diagrams aids the development of visual intuition and understanding. Exercise sets provide ample practice, ranging from the simple to the straightforward to the more interesting and exploratory, appropriate for a wide range of abilities. Notes in the margins include comments meant to supplement understanding, including line-by-line commentary for many worked examples.For the benefit of readers with no prior experience with infinitesimals, a review chapter is also included with a full explanation of infinitesimals, approximation, and single-variable calculus using these methods, setting the stage for their use in multivariable calculus. Without sacrificing academic rigor, Multivariable Calculus Set Free offers an engaging, storytelling style that helps readers solidify their understanding of an otherwise difficult subject, written by an author with over three decades of experience working with calculus students.