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  • Book

  • Introduction to real analysis

    • Authors: Robert G. Bartle (2011)

  • "This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible"--
  • Book

  • Linear and nonlinear programming

    • Authors: David G. Luenberger (2008)

  • This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California’s Stanford University, who has written lots of extra material including some on Interior Point Methods.
  • Book

  • Discrete mathematics

    • Authors: L. Lovász (2003)

  • Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can be helpful, and what kinds of questions mathematicians work on. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry. Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. In addition, there are numerous ...
  • Book

  • Linear Algebra

    • Authors: Harvey E. Rose (2002)

  • In algebra, an entity is called linear if it can be expressed in terms of addition, and multiplication by a scalar; a linear expression is a sum of scalar multiples of the entities under consideration. Also, an operation is called linear if it preserves addition, and multiplication by a scalar. For example, if A and Bare 2 x 2 real matrices, v is a (row) vector in the real plane, and c is a real number, then v(A + B) = vA + vB and (cv)A = c(vA), that is, the process of applying a matrix to a vector is linear. Linear Algebra is the study of properties and systems which preserve these two operations, and the following pages present the basic theory and results of this important branch of pure mathematics. There are many books on linear algebra in the bookshops and libraries of the wor...
  • Book

  • Nonlinear programming

    • Authors: Dimitri P. Bertsekas (1999)

  • This extensive rigorous texbook, developed through instruction at MIT, focuses on nonlinear and other types of optimization: iterative algorithms for constrained and unconstrained optimization, Lagrange multipliers and duality, large scale problems, and the interface between continuous and discrete optimization. Among its special features, the book: 1) provides extensive coverage of iterative optimization methods within a unifying framework 2) provides a detailed treatment of interior point methods for linear programming 3) covers in depth duality theory from both a variational and a geometrical/convex analysis point of view 4) includes much new material on a number of topics, such as neural network training, discrete-time optimal control, and large-scale optimization 5) includes a ...
  • Book

  • Mathematical contests 1995-1996 Olympiad Problems and Solutions from around the World

    • Authors: - (1997)

  • This book is a supplement to Mathematical Olympiads 1995: OlympiadProblems from Around the World, published by the American MathematicsCompetitions. It contains solutions to the problems from 28 national andregional contests featured in the earlier pamphlet, together with selectedproblems (without solutions) from national and regional contests givenduring the academic year 1995-1996.
  • Book

  • Giáo trình toán cao cấp

    • Authors: Hoàng Anh Tuấn (2008)

  • Trình bày về hàm số và giới hạn, đạo hàm và vi phân, hàm số nhiều biến số, cực trị của hàm nhiều biến, tích phân, phương trình vi phân và phương trình sai phân
  • Book

  • Thực hành kể chuyện thông qua dữ liệu!

    • Authors: Cole Nussbaumer Knaflic (2021)

  • Cuốn sách này giúp bạn củng cố sự tự tin cùng độ tin cậy để tạo nên những biểu đồ cũng như hình ảnh trực quan hữu hiệu, rồi từ đó xây dựng nên câu chuyện tác động đến hành vi của đối tượng mục tiêu, mang đến cho bạn nhiều nội dung mới mẻ, những ví dụ thực tiễn, cùng với hơn 100 bài tập thực hành hữu ích. Qua đó, bạn sẽ có cơ hội mài giũa kỹ năng cá nhân, cũng như trở thành một người truyền đạt dữ liệu lão luyện.
  • Book

  • Kể chuyện thông qua dữ liệu

    • Authors: Cole Nussbaumer Knaflic (2020)

  • Giới thiệu phương pháp truyền đạt thông tin thông qua cách thức trình bày dữ liệu như: lựa chọn những hình ảnh hữu hiệu, lựa chọn và đưa ra đối tượng mục tiêu, phân tích mẫu hình ảnh trực quan, lối dẫn chuyện, kết nối dữ liệu và trực quan hoá dữ liệu