1968 Annual Supplement


Book Description




Mathematics for Computer Science


Book Description

This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.




Book of Proof


Book Description

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.




How to Prove It


Book Description

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.




IB Math SL


Book Description

The International Baccalaureate® (IB) was founded in Geneva, Switzerland in 1968 as a non-profit educational foundation that endeavored to develop inquiring, knowledgeable and caring young people who would go on to create a better and more peaceful world through intercultural understanding and respect. What began as a single program for internationally mobile students preparing for college has grown into a series of programs for students up to age 19. Barron’s is pleased to offer a brand new course review and exam preparation guide for the IB Mathematics SL exam. The content of the book is based on the subject guide, published by the International Baccalaureate Organization. It covers all topics required for exams beginning in 2014 and includes: A full-length diagnostic test with markscheme and fully explained answers Study tips and exam strategies Topic review and practice for each strand of the IB Math SL curriculum, including explanations and examples as well as problem sets with fully explained solutions Two full-length practice exams with markschemes and fully explained answers This all-encompassing book can also serve as a supplement to classroom instruction throughout the two-year IB Math SL course, a resource for the Internal Assessment project, and a review resource during first year college math courses.




Introducing the IB Diploma Programme


Book Description

Schools wishing to introduce the IB diploma programme are faced with major investment in terms of time, effort and money in order to become authorised. This manual is a resource for schools already offering the diploma, as well as for prospective diploma schools.




The International Baccalaureate


Book Description




Heterogeneity in Breast Cancer: Clinical and Therapeutic Implications


Book Description

Breast cancer is a highly heterogeneous disease. Despite advances in early detection and treatment, breast cancer (BC) is the leading cause of cancer death in women worldwide. Heterogeneity negatively affects a patient’s prognosis, treatment sensitivity, and clinical outcome. In particular, the development of drug resistance mechanisms and the failure of anticancer drugs (initially or subsequently) could lie in the heterogeneity among BC patients and tumors. The major international guidelines have adopted an immunophenotypic sub-classification of BC to maximize patient eligibility for personalized therapy but do not take into account the extreme diversity existing between breast tumors (intratumor heterogeneity).




Working to My Potential


Book Description