Review: Introduction to Algorithms is a distinctly theoretical but all-around comprehensive book. Its use is not only limited to those taking algorithms courses but can also be utilized by anyone as an extensive reference source. Readers will learn quintessential algorithms as well as concepts such as what makes an algorithm efficient and why. Students will need a bit of mathematical background to get from cover to cover, however those who are able to do so will be intrigued by the content depth and wide spectrum of topics covered. These topics run the gamut from classical algorithms to computational geometry. More info.
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Review: This 3 volume box set does a marvelous job of covering subjects in the vast field of computer science. The writing is intact and brimming with mathematical rigor. Readers whose sole focus is learning can easily skim over areas that are excessively detailed without losing grasp of the core concepts. All three volumes are equally definitive and provide a clean theoretical explanation of fundamentals of computer science. The entire set is organized into six chapters: Basic Concepts, Information Structures, Random Numbers, Arithmetic, Sorting, and Searching. Additionally, each chapter section comes with questions students can use to gain better hands on experience. This is book is akin to the bible for computer scientists. A fourth volume is also available. More info.
Review: Lengthy yet vital, this resource book is jam packed with straight-forward explanations and loads of solved problems for students to easily learn from. Excelling many of its contemporaries by leaps and bounds, The Calculus Lifesaver truly lives up to its title. Students who are tired of dreary calculus textbooks that provide no motivation behind the concepts will be gladly surprised by the detailed and informal approach Banner uses to capture their attention. He fills all gaps and leaves readers feeling satisfied and enlightened. This book dually holds the characteristics of both an instructive primary aid as well as that of a supplementary read. More info.
Review: Even those who are not particularly gifted or even proficient in mathematics will enjoy sitting down and studying from Calculus Made Easy. Thompson creates a warm, inviting environment where students will learn and grasp the true essence of calculus without any added fluff or overt technicality. Frustrated students who have sought after a compatible calculus aid to no avail will agree that this is a professional tool that is presented to the reader on the same wavelength. Thompson knows that math is hard. Rather than taking the standard approach that many use to confound and further bewilder students, he breaks calculus down into a form that is a lot less threatening. More info.
Review: Math undergrads will find Principles and Techniques in Combinatorics to be a detailed but easy to read book. This is a much needed textbook that can truly be classified as introductory. The authors take careful consideration not to over-elaborate key concepts and thereby confuse those readers who are not as advanced in mathematics as others. Students will enjoy walking step by step through precisely detailed combinatorial proofs as well as reading the greatly in depth chapter on Recurrence Relations (Chapter 6). An abundance of combinatorial problems that are perfect for math competition trainers and participants can be found at the end of each chapter, adding even more value to this already low-priced gem. More info.
Review: This is an extraordinary book that every student and mathematician should absolutely have. The PCM carries the true signature of a math encyclopedia in that it is versatile and capable of being all things to all learners in every field of mathematics, and on all levels also. In light of its broad spectrum of topics, the editors have managed to keep this book cohesive and well knit together. The PCM includes specialized articles from contributors on a variety of math topics that even the most advanced pros can learn from. Non-mathematicians who are curious about the trade can also learn a great deal of information from the PCM due to its overall accessible nature. This is the kind of book that will still be read a hundred years from now, and it truly is the nicest book I own. More info.
Review: Sauer has created a book that is more than suitable for first course studies in numerical analysis. He highlights the five critical areas of the subject which are: Convergence, Complexity, Conditioning, Compression, and Orthogonality, and makes well-planned connections to each throughout the book. The proofs are exacting but not too intricate and will firmly satisfy students. Each chapter is laden with insight, and not just analysis. Sauer attentively infuses his book with numerous problems, some to be completed by hand and others through the use of the Matlab numerical computing package. Complete with Matlab code in the back of the book and an accompanying CD-ROM, students will find Numerical Analysis a pleasure to own. More info.
Review: This third edition of a widely esteemed favorite has been upgraded to include the latest modern scientific computing methods as well as two completely new chapters. The book is still written and presented in the same practical an easy to read style that the previous versions were known for. The authors diligently treat the old familiar methods with passion while tactfully intertwining them with newer and equally important more contemporary ones. The exceptionally written C++ code will help readers incorporate and test the algorithmic solutions in their own environments for further learning. However there are strict licensing rules to pay attention to. More info.
Review: In this first volume, William Feller paints a clear picture of probability theory and several of its interesting applications from the discrete viewpoint. The material is a bit advanced and is only recommended for students going into their third or fourth years. His writing brims with examples that help establish an accurate conception of discrete probability, and it includes sound insight into the history and development of probability theory. Readers will walk away with an intuitive understanding and sharper awareness of the subject. It is a must read item for any intermediate to advanced student who is working in the field of probability theory. More info.
Review: This small entertaining book presents a remarkable assortment of probability problems and puzzles that will keep readers stimulated for hours. Monsteller narrates parts of his book with a sense of humor which creates an easy-going and comfortable learning environment. The problems the author has selected put emphasis on, and will help readers learn, invaluable techniques. Detailed solutions to each problem are also included so as not to leave the reader bewildered or uncertain. The book ranges in scope from basic probability puzzlers to very difficult and intricate ones for the highly advanced student. This book easily doubles as supplementary study material or as a source of recreational math enjoyment. More info.
Review: This book gives students an accessible introduction to the world of complex analysis and how its methods are used. A First Course in Complex Analysis is reader-friendly to the newcomer and therefore is ideal for use by both undergrads as well as graduates. For undergrads, the authors refrain from abstractness and maintain an appreciated level of transparency. While for graduates, they effortlessly fill in the gaps that many standard course texts tend to leave wide open. Each chapter is followed by a section detailing the applications of the previously discussed topic. Additionally a quick review quiz for further verification and cultivation of skills is also included with each chapter. More info.
Review: This is an excellent, non-technical and simple introduction to statistics. The book is intended for lower-level students who wish to know the standard topics and methods that are included in most first statistics courses. Math students will find it easy to understand the ideas presented, while teachers and tutors will discover an engaging and highly effective way to teach statistics material. The authors provide real-life examples such as clinical trials and observational studies to help readers grasp the subject matter even better. All that is needed to learn from this book is a basic understanding of numbers and simple algebra. More info.
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