Problem Based Journey From Elementary Number Theory To An Introduction To Matrix Theory, A: The President Problems

The book is a problem-based introduction to undergraduate mathematics, covering topics such as number theory, set theory, group theory, matrix theory, and applications to cryptography and search engines. It is based on lecture notes of a course taught at the Technion to gifted high school students.

\n Format: Hardback
\n Length: 164 pages
\n Publication date: 19 November 2021
\n Publisher: World Scientific Publishing Co Pte Ltd
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The book is a comprehensive resource for students seeking to delve into the realm of advanced mathematics, particularly in the areas of number theory, set theory, group theory, matrix theory, and their applications to cryptography and search engines. It is meticulously crafted based on lecture notes of a highly esteemed course taught at the Technion, an esteemed institution of higher learning in Israel. This course, designed for gifted high school students, spans a wide range of topics, from the fundamental principles of elementary number theory to an introductory exploration into matrix theory.

The book adopts a problem-based approach, making it an ideal tool for students to grasp and apply these complex mathematical concepts. Each chapter is dedicated to a specific topic, providing a clear and concise introduction followed by a series of challenging problems that reinforce the understanding of the material. The problems are carefully selected to cover a broad spectrum of undergraduate mathematics, enabling students to bridge the gap between high school and university-level mathematics.

Within the chapters, students will encounter a rich array of topics, including number theory, which delves into the study of integers, rational numbers, and their properties. Set theory, another fundamental branch of mathematics, explores the principles of mathematical structures, such as sets, relations, and functions, and their applications in various fields. Group theory, a branch that originated in the study of symmetry, examines the properties and behaviors of groups of objects, including finite and infinite groups, and their applications in cryptography and computer science. Matrix theory, a powerful tool in linear algebra, provides a framework for representing and manipulating linear equations and matrices, and its applications range from engineering to physics.

Furthermore, the book explores the exciting applications of these mathematical concepts to cryptography and search engines. It discusses the principles of encryption and decryption, the design of secure cryptographic algorithms, and the use of matrices in solving optimization problems in search engines. By integrating these real-world applications, the book not only enhances the theoretical understanding of the students but also equips them with practical skills that are highly valued in today's technology-driven world.

In summary, the book is a invaluable resource for students who aspire to excel in advanced mathematics, particularly in the fields of number theory, set theory, group theory, matrix theory, and their applications to cryptography and search engines. With its comprehensive coverage, challenging problems, and real-world applications, it provides a solid foundation for students to pursue their academic and professional aspirations in these exciting and rapidly evolving fields.

\n Weight: 448g\n
Dimension: 177 x 252 x 17 (mm)\n
ISBN-13: 9789811234873\n \n