How to Improve Your Maths Skills


Book Description

This easy-to-use guide identifies and addresses the areas where most students need help with basic mathematical problems that occur in everyday life and studies and provides straightforward, practical tips, exercises and solutions that will enable you to assess and then improve your performance.




Maths for Chemistry


Book Description

Mathematical skills and concepts lie at the heart of chemistry, yet they are the aspect of the subject that many students fear the most. Maths for Chemistry recognizes the challenges faced by many students in equipping themselves with the maths skills necessary to gain a full understanding of chemistry. Working from foundational principles, the book builds the student's confidence by leading them through the subject in a steady, progressive way from basic algebra to quantum mathematics. Opening with the core mathematics of algebra, logarithms and trigonometry, the book goes on to cover calculus, matrices, vectors, complex numbers, and laboratory mathematics to cover everything that a chemistry student needs. With its modular structure, the book presents material in short, manageable sections to keep the content as accessible and readily digestible as possible. Maths for Chemistry is the perfect introduction to the essential mathematical concepts which all chemistry students should master.




Street-Fighting Mathematics


Book Description

An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.




Essential Math Skills for Engineers


Book Description

Just the math skills you need to excel in the study or practice of engineering Good math skills are indispensable for all engineers regardless of their specialty, yet only a relatively small portion of the math that engineering students study in college mathematics courses is used on a frequent basis in the study or practice of engineering. That's why Essential Math Skills for Engineers focuses on only these few critically essential math skills that students need in order to advance in their engineering studies and excel in engineering practice. Essential Math Skills for Engineers features concise, easy-to-follow explanations that quickly bring readers up to speed on all the essential core math skills used in the daily study and practice of engineering. These fundamental and essential skills are logically grouped into categories that make them easy to learn while also promoting their long-term retention. Among the key areas covered are: Algebra, geometry, trigonometry, complex arithmetic, and differential and integral calculus Simultaneous, linear, algebraic equations Linear, constant-coefficient, ordinary differential equations Linear, constant-coefficient, difference equations Linear, constant-coefficient, partial differential equations Fourier series and Fourier transform Laplace transform Mathematics of vectors With the thorough understanding of essential math skills gained from this text, readers will have mastered a key component of the knowledge needed to become successful students of engineering. In addition, this text is highly recommended for practicing engineers who want to refresh their math skills in order to tackle problems in engineering with confidence.




Type Theory and Functional Programming


Book Description

This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to reinforce understanding.




Concept-rich Mathematics Instruction


Book Description

Presents an instructional approach that helps students in every grade level understand math concepts so they can apply them on assessments, across the curriculum, and outside of school. Provides teaching practices and lesson ideas that give students a stronger foundation for reasoning and problem solving.




Mathematics: A Very Short Introduction


Book Description

The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.




Essential Maths Skills for AS/a Level Computer Science


Book Description

If you struggle with binary multiplication, or Big O Notation, this is the book for you. This textbook companion will help improve your essential maths skills for computer science, whichever awarding body specification you're following. You can use it throughout your course, whenever you feel you need some extra help. - Develop your understanding of both maths and computer science with all worked examples and questions within a computer science context - Improve your confidence with a step-by-step approach to every maths skill - Measure your progress with guided and non-guided questions to see how you're improving - Understand where you're going wrong with full worked solutions to every question - Feel confident in expert guidance from experienced teachers and examiners Victoria Ellis and Gavin Craddock, reviewed by Dr Kathleen Maitland, Senior Lecturer in Computing and Director of the SAS Student Academy at Birmingham City University




Calculation Without Tears


Book Description

Calculation Without Tears by S. Bhushan/ B.S. Gupta: "Calculation Without Tears: Simplifying Mathematical Concepts" is a comprehensive guide by S. Bhushan and B.S. Gupta that aims to demystify mathematics and make complex calculations accessible to learners of all levels. This book provides practical techniques, tips, and strategies to build confidence in mathematical problem-solving and foster a deeper understanding of mathematical concepts. Key Aspects of the Book "Calculation Without Tears: Simplifying Mathematical Concepts": Simplified Approach: The book presents a simplified approach to mathematical calculations, breaking down complex concepts into manageable steps. It offers techniques and shortcuts to enhance computational skills and promote a deeper understanding of mathematical principles. Practical Examples: "Calculation Without Tears" provides numerous practical examples and real-world applications of mathematical concepts. It bridges the gap between theoretical knowledge and practical problem-solving, enabling readers to apply mathematical principles in various contexts. Building Confidence: The book aims to build confidence in learners by offering clear explanations, practice exercises, and problem-solving strategies. It empowers readers to overcome math anxiety, develop a positive mindset towards mathematics, and approach calculations with ease. Bhushan and B.S. Gupta, esteemed authors and experienced educators, collaborate in "Calculation Without Tears: Simplifying Mathematical Concepts" to make mathematics more accessible and enjoyable for learners. With their combined expertise in mathematics education, they provide practical guidance and techniques to simplify complex calculations. Bhushan and Gupta aim to empower learners of all ages and levels to overcome mathematical challenges and develop a solid foundation in mathematical problem-solving. "Calculation Without Tears" serves as a valuable resource for students, teachers, and anyone seeking to enhance their mathematical skills with confidence and ease.




How to Improve Your Maths Skills


Book Description

This easy-to-use guide identifies and addresses the areas where most students need help with basic mathematical problems that occur in everyday life and academic study and provides straightforward, practical tips and solutions that will enable you to assess and then improve your performance.