comprehensive undergrad number theory text blending rigorous proofs with practical applications—covering topics from divisibility and congruences to cryptography, enhanced with exercises, computational projects, and real-world context.
This book provides a clear and comprehensive introduction to discrete mathematics, with a strong focus on logic, proof techniques, and mathematical reasoning. Designed for students in computer science and mathematics, it covers topics such as logic, sets, functions, algorithms, number theory, relations, graphs, and combinatorics. Through detailed explanations, examples, and exercises, the text …
The fourth edition of Kenneth Rosen's widely used and successful text, Elementary Number Theory and Its Applications, preserves the strengths of the previous editions, while enhancing the book's flexibility and depth of content coverage. The blending of classical theory with modern applications is a hallmark feature of the text. The Fourth Edition builds on this strength with new examples, a…
In this book, developed from courses taught at the University of London, the author aims to show the value of using topological methods in combinatorial group theory. The topological material is given in terms of the fundamental groupoid, giving results and proofs that are both stronger and simpler than the traditional ones. Several chapters deal with covering spaces and complexes, an important…
Aiming to provide adequate preparation in algebra to prospective teachers and researchers in mathematics and related areas, this book delves into the intricacies of Algebra. Starting with the groups of symmetries of plane configurations, then moving onto study groups (with operators) and their homomorphisms, before diving into the complexities of Sylow’s theorems and Abelian groups. All of th…
This textbook offers a modern treatment of classical mechanics appropriate for advanced undergraduates or graduate students. It emphasizes mathematical clarity and physical understanding, incorporating modern theoretical developments in mechanics.
This textbook is a valuable resource for anyone studying mathematics at the intermediate level. It covers a range of topics in algebra and general mathematics, and is authored by John Hornsby, Margaret L. Lial, John E. Hornsby, and Toby Miller. The book is in its 8th edition, and was published by Addison-Wesley Longman, Incorporated in 1999. The book measures 10.3 inches in length, 8.3 inches i…
A clear and practical college algebra textbook that integrates graphing technology to help students understand algebraic concepts through visual and applied approaches.