Products related to Mathematical:
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The Mathematical Theory of Communication
Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago.Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
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Handbook Of Mathematical Science Communication
Mathematical science communication, as well as the field of science communication in general, has gained momentum over the last few decades.Mathematical science communication aims to inform the public about contemporary research, enhance factual and methodological knowledge, and foster a greater interest and support for the science of mathematics.This enables the public to apply it to their practical life, and to decision-making on a greater scale.These objectives are met in the various formats and media through which mathematical science communication is brought to the public.The first 13 chapters of the book consist of best-practice examples from the areas of informal math education, museums and exhibitions, and the arts.The final 5 chapters discuss the structural aspects of mathematical science communication and contribute to the basis for its theoretical framework.
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Mathematical Logic
Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic.At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics.Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent.The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich's theorem characterising the computably enumerable relations.Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved.Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch.Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches.Two basic themes in recent cognitive science studies of actual human reasoning are also introduced.Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science.
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Mathematical Models
This is the classic book of detailed instructions for making a wide variety of mathematical models of all kinds Complete nets are given for all regular Archimedean and stellated polyhedra together with a number of interesting compounds.There are sections on paper folding, dissections, curve stitching, linkages, the drawing of loci and envelopes and the construction of plane tessellations.The volume is fully illustrated with diagrams and photographs of models in paper and other materials and all have been successfully made and tested.First in the Tarquin Reprint series
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Can mathematical understanding be trained?
Yes, mathematical understanding can be trained through practice, exposure to different problem-solving techniques, and the development of critical thinking skills. By engaging in regular practice and exposure to a variety of mathematical concepts, individuals can improve their understanding and ability to solve complex problems. Additionally, receiving guidance and feedback from teachers or mentors can also help in developing a deeper understanding of mathematical concepts. Overall, with dedication and effort, mathematical understanding can be trained and improved over time.
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Is mathematical understanding the same as technical understanding?
Mathematical understanding and technical understanding are related but not the same. Mathematical understanding involves grasping abstract concepts, relationships, and principles, while technical understanding typically involves knowledge of specific tools, techniques, and procedures used in a particular field. While mathematical understanding can be a foundation for technical understanding in some cases, technical understanding often requires practical application and hands-on experience that goes beyond pure mathematical reasoning.
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What is your question about mathematical understanding?
My question about mathematical understanding is how can we ensure that students not only memorize formulas and procedures, but also develop a deep conceptual understanding of mathematical concepts? How can we help students make connections between different mathematical ideas and apply their knowledge to real-world problems? Additionally, how can we assess and measure students' mathematical understanding in a meaningful way that goes beyond just their ability to solve problems?
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How can one improve their mathematical understanding?
One can improve their mathematical understanding by practicing regularly, seeking help from teachers or tutors when needed, and approaching problems from different angles to gain a deeper understanding. It is also helpful to engage in discussions with peers and to explore real-world applications of mathematical concepts. Additionally, using resources such as online tutorials, textbooks, and educational websites can provide additional support and help reinforce understanding.
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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 Adventures
School mathematics sometimes excite and sometimes scare, and sadly, sometimes bore.In fact, elementary school arithmetic seems to get us through most situations.So why all the rest? This book aspires to give a glimpse into how things started and evolved, and how math can help us today, from simple measurements to navigating using mathematically simplified maps.The accompanying activities (some easier and some more challenging ones) aim to engage you with what was happening at a given time.Answers and explanations are in the end of the book.
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Mathematical Cavalcade
Mathematical Cavalcade follows the very successful Amazing Mathematical Amusement Arcade and The Mathematical Funfair by the same author.It contains a further 131 puzzles to challenge people of all ages.Hints and solutions are given in a commentary at the back of the book.
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Mathematical Writing
This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student.The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics.Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions.These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem.Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition. Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs.The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples.Many exercises are included; over 150 of them have complete solutions, to facilitate self-study. Mathematical Writing will be of interest to all mathematics students who want to raise the quality of their coursework, reports, exams, and dissertations.
Price: 29.99 £ | Shipping*: 0.00 £
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How can one generally improve their mathematical understanding?
One can generally improve their mathematical understanding by practicing regularly, seeking help from teachers or tutors when needed, and approaching problems from different angles to gain a deeper understanding. It is also helpful to engage in discussions with peers and to explore real-world applications of mathematical concepts. Additionally, using resources such as online tutorials, textbooks, and educational websites can provide additional support and help reinforce understanding.
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Can I improve my mathematical understanding with 20?
Yes, you can improve your mathematical understanding with the number 20. You can practice multiplication, division, addition, and subtraction using the number 20 as a factor or operand. You can also use 20 to practice fractions, percentages, and other mathematical concepts. Additionally, you can explore patterns and relationships involving the number 20 to deepen your understanding of mathematics.
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Do I have difficulty understanding a mathematical word problem?
If you find yourself having difficulty understanding a mathematical word problem, it may be helpful to break it down into smaller parts and identify key information. Try to visualize the problem and consider what operations or formulas may be needed to solve it. It can also be beneficial to practice solving various types of word problems to improve your comprehension and problem-solving skills. Remember, with practice and patience, you can improve your ability to understand and solve mathematical word problems.
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Do I have difficulties understanding a mathematical word problem?
If you find yourself struggling to understand a mathematical word problem, it may be helpful to break it down into smaller parts and identify the key information provided. Look for keywords or phrases that indicate what operation is needed to solve the problem. Practice interpreting different types of word problems to improve your skills in understanding and solving them. Additionally, seeking help from a teacher, tutor, or classmate can provide additional support and clarification.
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