Products related to Mathematical:
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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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The Number Devil : A Mathematical Adventure
An international bestseller that does for maths what Horrible Histories did to bring humanities to lifeTwelve-year-old Robert hates maths: his teacher sets his class boring problems and won't let them use their calculators.Then in his dreams Robert meets the Number Devil, who brings the subject magically to life, illustrating with wit and charm a world in which numbers can amaze and fascinate.Suddenly maths is nothing like the dreary, difficult process that so many of us dread, but a world of wonder that all begins to make sense.The Number Devil knows how to make maths devilishly simple.With fun and helpful illustrations by Rotraut Susanne Berner, this is the perfect read for anyone fascinated by maths - or mystified by it. Learn all about:Negative numbersPrime numbersSquare rootsTriangular numbersFibonacci numbersInfinite numbersGeometryMathematical proofs'This enterprising and imaginative book will play its part in rescuing children froma lifetime phobia of maths' Daily Mail'Enzensberger has made Pythagoras the new Harry Potter...Explaining mathematical concepts in a clear and highly original way' Sunday Business Post
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Birth of a Theorem : A Mathematical Adventure
“This man could plainly do for mathematics what Brian Cox has done for physics” — Sunday TimesHow does a genius see the world?Where and how does inspiration strike?Cédric Villani takes us on a mesmerising adventure as he wrestles with the Boltzmann equation – a new theorem that will eventually win him the most coveted prize in mathematics and a place in the mathematical history books.Along the way he encounters obstacles and setbacks, losses of faith and even brushes with madness. His story is one of courage and partnership, doubt and anxiety, elation and despair.Of ordinary family life blurring with the abstract world of mathematical physics, of theories and equations that haunt your dreams and seeking the elusive inspiration found only in a locked, darkened room. Blending science with history, biography with myth, Villani conjures up an inimitable cast: the omnipresent Einstein, mad genius Kurt Godel, and Villani’s personal hero, John Nash. Step inside the magical world of Cédric Villani…
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Eight Lessons on Infinity : A Mathematical Adventure
Do you want to learn about the most beautiful concept ever invented by humankind?In this book, best-selling author and mathematician Haim Shapira will inspire you with his humorous and engaging exploration of infinity.Written in clear, simple language and aimed at a lay audience, this book also offers some strategies that will allow readers to try their ability at solving truly fascinating mathematical problems.Infinity is a deeply counter-intuitive concept that has inspired many great thinkers.In this book we will meet many sages, both familiar and unfamiliar: Zeno and Pythagoras, Georg Cantor and Bertrand Russell, Sofia Kovalevskaya and Emmy Noether, al-Khwarizmi and Euclid, Sophie Germain and Srinivasa Ramanujan.The world of infinity is inhabited by many paradoxes, and so is this book: Zeno paradoxes, Hilbert's "Infinity Hotel", Achilles and the gods paradox, the paradox of heaven and hell, the Ross-Littlewood paradox involving tennis balls, the Galileo paradox and many more.Aimed at the curious but non-technical reader, this book refrains from using any fearsome mathematical symbols.It uses only the most basic operations of mathematics: adding, subtracting, multiplication, division, powers and roots - that is all.But that doesn't mean that a bit of deep thinking won't be necessary and rewarding.Writing with humour and lightness of touch, Haim Shapira banishes the chalky pallor of the schoolroom and offers instead a truly thrilling intellectual journey.Fasten your seatbelt - we are going to Infinity, and beyond!
Price: 10.99 £ | Shipping*: 3.99 £
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As an AI, I do not have personal preferences or physical capabilities to engage in activities like hiking. However, I can provide information and tips on hiking in the mountains if you are interested.
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What are mathematical prisms?
Mathematical prisms are three-dimensional shapes that have two parallel and congruent polygonal bases connected by rectangular faces. The bases can be any polygon, such as a triangle, square, or pentagon. The height of the prism is the perpendicular distance between the two bases. The volume of a prism is calculated by multiplying the area of the base by the height.
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What are mathematical terms?
Mathematical terms are words or phrases used to describe mathematical concepts, operations, or relationships. They are used to communicate specific ideas or instructions in the language of mathematics. Examples of mathematical terms include "addition," "subtraction," "equation," "variable," "function," and "theorem." Understanding mathematical terms is essential for effectively solving mathematical problems and communicating mathematical ideas.
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What are mathematical formulas?
Mathematical formulas are concise and specific representations of mathematical relationships or rules. They are used to express mathematical concepts, calculations, and relationships between variables in a clear and systematic way. Formulas often consist of symbols, numbers, and mathematical operations, and are used to solve equations, make predictions, and perform calculations in various fields of mathematics and science. They provide a standardized and efficient way to communicate mathematical concepts and principles.
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Mathematical Logic
What is a mathematical proof? How can proofs be justified? Are there limitations to provability? To what extent can machines carry out mathe matical proofs?Only in this century has there been success in obtaining substantial and satisfactory answers.The present book contains a systematic discussion of these results.The investigations are centered around first-order logic.Our first goal is Godel's completeness theorem, which shows that the con sequence relation coincides with formal provability: By means of a calcu lus consisting of simple formal inference rules, one can obtain all conse quences of a given axiom system (and in particular, imitate all mathemat ical proofs).A short digression into model theory will help us to analyze the expres sive power of the first-order language, and it will turn out that there are certain deficiencies.For example, the first-order language does not allow the formulation of an adequate axiom system for arithmetic or analysis.On the other hand, this difficulty can be overcome--even in the framework of first-order logic-by developing mathematics in set-theoretic terms.We explain the prerequisites from set theory necessary for this purpose and then treat the subtle relation between logic and set theory in a thorough manner.
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Mathematical Meditations
Mathematical Meditations identifies, explores, and celebrates those aspects of mathematics that are good for you and your overall wellbeing.It is necessary for everyone to have a little time to think every so often: to contemplate, meditate, and try to understand where you are and what is going on around you.Mathematics can help you with all of that. The Meditations in this book are the product of thousands of years of mathematical discourse.As you read through the book and work through the various exercises, you will discover new mechanisms that allow you to contemplate and understand some complex mathematical principles.However, the focus will always be wider than a mere dry comprehension of theory, as you will be encouraged to meditate upon the deeper intrinsic beauty of mathematics and what it can reveal to us about the world around us. FeaturesAn original, engaging narrative format replete with novel exercises and examplesCould be used in a classroom setting for liberal arts students, mathematics undergraduates, or high school teachersAccessible to anyone who wants to explore a different kind of perspective on mathematics
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Mathematical Pluralism
Mathematical pluralism is the view that there is an irreducible plurality of pure mathematical structures, each with their own internal logics; and that qua pure mathematical structures they are all equally legitimate.Mathematical pluralism is a relatively new position on the philosophical landscape.This Element provides an introduction to the position.
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Mathematical Physics
Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space.Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics.Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the "whys" of proofs and of axioms and definitions.This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics, and astrophysics.
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Are mathematical functions bounded?
Mathematical functions can be bounded or unbounded, depending on their behavior. A function is said to be bounded if its output values are limited within a certain range. For example, the sine function is bounded between -1 and 1. However, functions like the natural logarithm or the quadratic function are unbounded, as their output values can grow without limit. Therefore, whether a mathematical function is bounded or not depends on its specific properties and behavior.
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What are mathematical functions?
Mathematical functions are relationships between a set of inputs and a set of outputs, where each input is related to exactly one output. They are typically represented by an equation or a rule that describes how the input values are transformed into output values. Functions are fundamental in mathematics and are used to model various real-world phenomena, analyze data, and solve problems in a systematic way. They can take many forms, such as linear, quadratic, exponential, trigonometric, and logarithmic functions.
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What is mathematical optimization?
Mathematical optimization is the process of finding the best solution to a problem from a set of possible solutions. It involves maximizing or minimizing a certain objective function while satisfying a set of constraints. This can be applied to a wide range of fields, including engineering, economics, and computer science, to help make better decisions and improve efficiency. Optimization problems can be solved using various mathematical techniques such as linear programming, nonlinear programming, and integer programming.
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What are mathematical equations?
Mathematical equations are expressions that show the relationship between two or more quantities using mathematical symbols and operations. They typically consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations are used to represent and solve various mathematical problems and are an essential tool in fields such as physics, engineering, and economics. They can be simple or complex, and their solutions provide valuable information about the relationships between different quantities.
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