Maths Masterpieces Upper Primary


Book Description

Offers a photocopiable series which combines maths and art. This title provides opportunities for children to consolidate knowledge and skills in maths while introducing significant works of art and their artists.




Maths masterpieces


Book Description




Mathematical Masterpieces


Book Description

Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.




Bridge to Abstract Mathematics


Book Description

A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns theorems that must be proved within the constraints of a logical system of axioms and definitions rather than theories that must be tested, revised, and retested. Readers will learn how to read mathematics beyond popular computational calculus courses. Moreover, readers will learn how to construct their own proofs. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises. Part V gives hints to help students find good approaches to the exercises. Part I introduces the language of mathematics and the methods of proof. The mathematical content of Parts II through IV were chosen so as not to seriously overlap the standard mathematics major. In Part II, students study sets, functions, equivalence and order relations, and cardinality. Part III concerns algebra. The goal is to prove that the real numbers form the unique, up to isomorphism, ordered field with the least upper bound. In the process, we construct the real numbers starting with the natural numbers. Students will be prepared for an abstract linear algebra or modern algebra course. Part IV studies analysis. Continuity and differentiation are considered in the context of time scales (nonempty, closed subsets of the real numbers). Students will be prepared for advanced calculus and general topology courses. There is a lot of room for instructors to skip and choose topics from among those that are presented.







A Course of Pure Mathematics


Book Description

A Course of Pure Mathematics by G. H. Hardy: Dive into the world of mathematical analysis with "A Course of Pure Mathematics" by G. H. Hardy. This classic textbook serves as an introductory guide to the principles and concepts of mathematical analysis, offering a rigorous and comprehensive exploration of the subject. With its clear explanations, illustrative examples, and problem-solving techniques, Hardy's book provides a solid foundation for understanding the fundamental principles of mathematics. Key Aspects of the Book "A Course of Pure Mathematics": Comprehensive Coverage: Delve into the various branches of mathematical analysis, including calculus, functions, series, complex numbers, and more. Hardy's comprehensive approach ensures that readers gain a broad understanding of the subject. Rigorous Approach: Experience the rigor and precision of mathematical analysis through Hardy's clear and concise explanations. His logical and systematic approach helps readers develop a strong grasp of mathematical principles. Problem-Solving Techniques: Engage in problem-solving exercises that enhance your mathematical skills and reinforce your understanding of the concepts. Hardy's emphasis on problem-solving cultivates critical thinking and analytical abilities. H. Hardy, a renowned British mathematician, authored "A Course of Pure Mathematics" as a seminal work in the field. Recognized for his contributions to number theory and mathematical analysis, Hardy's book continues to be highly regarded as a foundational text for students and enthusiasts of mathematics. Through his passion for the subject and his commitment to clarity and rigor, Hardy inspires readers to explore the beauty and elegance of mathematical reasoning.










Instructor


Book Description




Write about Math!


Book Description

Spark your students' imaginations and get them writing about math with more than 200 fun math writing prompts. The creative ideas included here will help you meet one of the NCTM's five goals-getting students to communicate mathematically. Writing ideas include poetry, bumper sticker slogans, literature response activities, and journal starters. For use with Grades 3-6.