Exercise sets features a large number of applications, especially applications to the field of computer science. The almost real worked examples provide ready reference for college students as they work. A strong emphasis on the interplay among the various topics serves to reinforce their understanding. The textbook models various problem-solving techniques in a lot of detail, then provides opportunity to practice these techniques. The etextbook also builds mathematical maturity by emphasizing how to write and read proofs.
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Discrete Mathematics with Ducks is a gentle introduction for students who find the proofs and abstractions of mathematics challenging. At the same time, it provides stimulating material that instructors can use for more advanced students. The first edition was widely well received, with its whimsical writing style and numerous exercises and materials that engaged students at all levels.??
Endorsed for Edexcel Nurture and strengthen your students' mathematical skills; these expert-written textbooks consolidate knowledge with worked examples, test key skills through practice and extend learning using enrichment activities designed to excite and challenge students. Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science.
The approach is comprehensive yet maintains an easy-to-follow progression from the basic mathematical ideas to the more sophisticated concepts examined later in the book. This edition preserves the philosophy of its predecessors while updating and revising some of the content.
New to the Third Edition In the expanded first chapter, the text includes a new section on the formal proof of the validity of arguments in propositional logic before moving on to predicate logic. This edition also contains a new chapter on elementary number theory and congruences. This chapter explores groups that arise in modular arithmetic and RSA encryption, a widely used public key encryption scheme that enables practical and secure means of encrypting data.
This third edition also offers a detailed solutions manual for qualifying instructors. Exploring the relationship between mathematics and computer science, this text continues to provide a secure grounding in the theory of discrete mathematics and to augment the theoretical foundation with salient applications. It is designed to help readers develop the rigorous logical thinking required to adapt to the demands of the ever-evolving discipline of computer science.
Real-world cases, examples and screenshots in this concise presentation help clarify database design, data integrity, normalization, concurrent updates, data security, and big data.
Detailed coverage presents the relational model including QBE and SQL , normalization and views, database administration and management. The book also examines advanced topics such as distributed databases, data warehouses, stored procedures, triggers, data macros, and Web Apps. This database introduction is ideal for a variety of disciplines. Many probability concepts seem counterintuitive at first, and the successful student must in effect train him or herself to think in a totally new way.
Mastery of probability takes a lot of time, and only comes from solving many, many problems. The aim of this text and its companion, The Probability Workbook coming soon , is to present the subject of probability as a tutor would. Probability concepts are explained in everyday language and worked examples are presented in abundance. In addition to paper-and-pencil solutions, solution strategies using Microsoft Excel functions are given.
All mathematical symbols are explained, and the mathematical rigor is kept on an algebra level; calculus is avoided. Since the First Edition of Smith's text was published, thousands of liberal arts students have "experienced" mathematics rather than just "doing problems" with the help of this book.
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