Description
Book Synopsis: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline.
Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. “More concretely,” the authors explain, “it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems.” The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth’s classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study.
Major topics include:
- Sums
- Recurrences
- Integer functions
- Elementary number theory
- Binomial coefficients
- Generating functions
- Discrete probability
- Asymptotic methods
This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
Details
Are you looking to strengthen your mathematical skills and enhance your computer programming abilities? Look no further than Concrete Mathematics: A Foundation for Computer Science (2nd Edition). This comprehensive book is designed to provide you with the solid mathematical foundation needed to conquer complex problems and analyze algorithms. Its well-known authors are experts in the field and rely heavily on this indispensable text for their own work. Whether you're a computer scientist or simply someone who utilizes mathematics in your discipline, this book is a must-have resource.
Concrete Mathematics is the perfect blend of continuous and discrete mathematics. It offers a collection of techniques for problem-solving through controlled manipulation of mathematical formulas. While building upon the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, this book takes a more leisurely and in-depth approach to each topic. With over 500 exercises, categorized into six sections, you'll get ample opportunities to practice and reinforce your understanding. And don't worry about getting stuck - complete answers are provided for all exercises (except research problems), making it ideal for self-study.
Major topics covered in Concrete Mathematics include sums, recurrences, integer functions, elementary number theory, binomial coefficients, generating functions, discrete probability, and asymptotic methods. In this second edition, you'll find an important new addition about mechanical summation. The bibliography and index have also been expanded to serve as an even more comprehensive reference. Don't miss the nontrivial improvements scattered throughout the book, providing you with even more valuable insights.
What sets Concrete Mathematics apart is the authors' engaging and informal writing style. Alongside the content, you'll find marginal graffiti contributed by students who have taken courses based on this material. It's a testament to the authors' dedication to not only conveying the importance of the techniques presented but also making the learning process enjoyable. Don't miss out on the opportunity to acquire this essential resource for your mathematical and computer science journey.
Ready to take your mathematical skills to the next level? Get your copy of Concrete Mathematics: A Foundation for Computer Science (2nd Edition) today by clicking here.
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