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  • The Calculus Story : A Mathematical Adventure
    The Calculus Story : A Mathematical Adventure

    Calculus is the key to much of modern science and engineering.It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics.But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn... In The Calculus Story David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day.Drawing on their original writings, he introduces the people who helped to build our understanding of calculus.With a step by step treatment, he demonstrates how to start doing calculus, from the very beginning.

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  • Pre-Calculus, Calculus, and Beyond
    Pre-Calculus, Calculus, and Beyond

    This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate.The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right.In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles.It also provides details for extending the domain of definition of sine and cosine to all real numbers.It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs.An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator.This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.

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  • Calculus
    Calculus

    Calculus is important for first-year undergraduate students pursuing mathematics, physics, economics, engineering, and other disciplines where mathematics plays a significant role.The book provides a thorough reintroduction to calculus with an emphasis on logical development arising out of geometric intuition.The author has restructured the subject matter in the book by using Tarski's version of the completeness axiom, introducing integration before differentiation and limits, and emphasizing benefits of monotonicity before continuity.The standard transcendental functions are developed early in a rigorous manner and the monotonicity theorem is proved before the mean value theorem.Each concept is supported by diverse exercises which will help the reader to understand applications and take them nearer to real and complex analysis.

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  • Calculus
    Calculus

    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.

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  • What is the difference between calculus and advanced calculus?

    Calculus is a branch of mathematics that deals with the study of rates of change and accumulation of quantities. It includes topics such as limits, derivatives, and integrals. Advanced calculus, on the other hand, delves deeper into these concepts and explores more advanced topics such as multivariable calculus, vector calculus, and differential equations. Advanced calculus typically requires a stronger mathematical background and is more theoretical and abstract compared to basic calculus.

  • Struggling with calculus?

    If you are struggling with calculus, don't worry, you are not alone. Many students find calculus to be a challenging subject due to its complex concepts and problem-solving techniques. It's important to seek help from your teacher, classmates, or a tutor to clarify any doubts and practice regularly to improve your understanding and skills in calculus. Remember, with dedication and perseverance, you can overcome the challenges and succeed in mastering calculus.

  • What is calculus?

    Calculus is a branch of mathematics that deals with the study of rates of change and accumulation. It is divided into two main branches: differential calculus, which focuses on the concept of the derivative and rates of change, and integral calculus, which deals with the concept of the integral and accumulation of quantities. Calculus is widely used in various fields such as physics, engineering, economics, and computer science to solve problems involving continuous change and motion.

  • Is calculus difficult?

    Calculus can be difficult for some people, as it involves complex concepts and requires a strong understanding of algebra and trigonometry. However, with dedication and practice, many students are able to grasp the concepts and excel in calculus. It is important to seek help from teachers, tutors, or online resources if you are struggling with calculus, as it is a foundational subject for many fields of study, including engineering, physics, and economics.

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  • Make: Calculus : Build models to learn, visualize, and explore
    Make: Calculus : Build models to learn, visualize, and explore

    When Isaac Newton developed calculus in the 1600s, he was trying to tie together math and physics in an intuitive, geometrical way.But over time math and physics teaching became heavily weighted toward algebra, and less toward geometrical problem solving.However, many practicing mathematicians and physicists will get their intuition geometrically first and do the algebra later. Make:Calculus imagines how Newton might have used 3D printed models, construction toys, programming, craft materials, and an Arduino or two to teach calculus concepts in an intuitive way.The book uses as little reliance on algebra as possible while still retaining enough to allow comparison with a traditional curriculum. This book is not a traditional Calculus I textbook.Rather, it will take the reader on a tour of key concepts in calculus that lend themselves to hands-on projects.This book also defines terms and common symbols for them so that self-learners can learn more on their own.

    Price: 23.99 £ | Shipping*: 3.99 £
  • Essential Calculus
    Essential Calculus

    This book is for instructors who think that most calculus textbooks are too long.In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers?ESSENTIAL CALCULUS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems.The book is only 900 pages--two-thirds the size of Stewart's other calculus texts, and yet it contains almost all of the same topics.The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www.StewartCalculus.com.Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books.ESSENTIAL CALCULUS features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world.

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  • Foundation Calculus
    Foundation Calculus

    This textbook teaches the fundamentals of calculus, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words.It assumes a very basic knowledge but revises the key prerequisites before moving on.Definitions are highlighted for easy understanding and reference, and worked examples illustrate the explanations.Chapters are interwoven with exercises, whilst each chapter also ends with a comprehensive set of exercises, with answers in the back of the book.Introductory paragraphs describe the real-world application of each topic, and also include briefly where relevant any interesting historical facts about the development of the mathematical subject. This text is intended for undergraduate students in engineering taking a course in calculus.It works for the Foundation and 1st year levels. It has a companion volume Foundation Algebra.

    Price: 38.99 £ | Shipping*: 0.00 £
  • Multivariate Calculus
    Multivariate Calculus

    This book is a compilation of all basic topics on functions of Several Variables and is primarily meant for undergraduate and post graduate students.Topics covered are: Limits, continuities and differentiabilities of functions of several variables. Properties of Implicit functions and Jacobians. Extreme values of multivariate functions. Various types of integrals in planes and surfaces and their related theorems including Dirichlet and Liouville’s extension to Dirichlet. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan)

    Price: 84.99 £ | Shipping*: 0.00 £
  • Why does calculus work?

    Calculus works because it provides a precise and systematic way to analyze and understand change. By using concepts such as limits, derivatives, and integrals, calculus allows us to model and solve real-world problems involving rates of change, accumulation, and optimization. Its rigorous mathematical framework enables us to make accurate predictions and calculations in various fields such as physics, engineering, economics, and biology.

  • What is vector calculus?

    Vector calculus is a branch of mathematics that deals with vector fields and their derivatives. It involves studying functions that have both a magnitude and a direction, such as velocity and force. Vector calculus is used in various fields such as physics, engineering, and computer science to analyze and solve problems involving quantities that have both magnitude and direction. It includes operations like gradient, divergence, curl, and line integrals, which help in understanding the behavior of vector fields in three-dimensional space.

  • What is integral calculus?

    Integral calculus is a branch of calculus that deals with the concept of integration, which is essentially the reverse process of differentiation. It involves finding the integral of a function, which represents the area under the curve of the function. This area can be used to calculate quantities such as displacement, velocity, and acceleration. Integral calculus is widely used in various fields such as physics, engineering, economics, and statistics to solve problems involving continuous quantities.

  • What is differential calculus?

    Differential calculus is a branch of mathematics that deals with the study of rates at which quantities change. It involves the concept of derivatives, which represent the rate of change of a function at a given point. Differential calculus is used to solve problems involving motion, optimization, and many other real-world applications where understanding how quantities change over time is important. It is a fundamental tool in mathematics and is essential in fields such as physics, engineering, economics, and biology.

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