Author: Michael HeasePublisher:
ISBN: 9781925489569
Category :
Languages : en
Pages : 612
Book Description
Author: Learning and Understanding
Author: National Research CouncilPublisher: National Academies Press
ISBN: 0309074401
Category : Education
Languages : en
Pages : 589
Book Description
This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.
Author: Steven L. Brunton
Author: Michael HaeseUnderstanding Analysis
Author: Stephen AbbottPublisher: Springer Science & Business Media
ISBN: 0387215069
Category : Mathematics
Languages : en
Pages : 269
Book Description
This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.
Mathematics for Secondary School Teachers
Author: Elizabeth G. BremiganPublisher: MAA
ISBN: 0883857731
Category : Mathematics
Languages : en
Pages : 444
Book Description
Discusses topics of central importance in the secondary school mathematics curriculum, including functions, polynomials, trigonometry, exponential and logarithmic functions, number and operation, and measurement. This volume is primarily intended as the text for a bridge or capstone course for pre-service secondary school mathematics teachers.
Access to History for the IB Diploma: The Great Depression and the Americas 1929-39
Author: Peter ClementsPublisher: Hodder Education
ISBN: 1444156551
Category : Education
Languages : en
Pages : 254
Book Description
This series has taken the clarity, accessibility, reliability and in-depth analysis of our best-selling Access to History series and tailor-made it for the History IB Diploma. Each title in the series supports a specific topic in the IB History guide through thorough content coverage and examination guidance - helping students develop a good knowledge and understanding of the required content alongside the skills they need to do well. Access to IB History: The Great Depression and the Americas 1929-39 is an IB specific edition of Access to History: Prosperity, Depression and the New Deal: The USA 1890-1954. It has been revised to fully support the section of the same name in HL option 3: Aspects of the History of the Americas and includes: - authoritative, clear and engaging narrative which combines depth of content with accessibility of approach - up-to-date historiography with clear analysis and associated TOK activities - guidance on answering exam-style questions with model answers and practice questions.
Lie Groups, Lie Algebras, and Representations
Author: Brian HallPublisher: Springer
ISBN: 3319134671
Category : Mathematics
Languages : en
Pages : 452
Book Description
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette
Mathematics - Analysis and Approaches
Author: Marlene Torres SkoumalPublisher:
ISBN: 9780198427162
Category :
Languages : en
Pages : 832
Book Description
Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: analysis and approaches HL syllabus, for first teaching in September 2019.
