CK-12 Math Analysis

CK-12 Math Analysis PDF

Author: CK-12 Foundation

Publisher: CK-12 Foundation

Published: 2012-04-11

Total Pages: 617

ISBN-13: 1935983598

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CK-12 Foundation's Math Analysis FlexBook is a rigorous text that takes students from analyzing functions to mathematical induction to an introduction to calculus.

CK-12 Calculus

CK-12 Calculus PDF

Author: CK-12 Foundation

Publisher: CK-12 Foundation

Published: 2010-08-15

Total Pages: 603

ISBN-13: 1935983016

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CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.

CK-12 Probability and Statistics - Basic (A Short Course)

CK-12 Probability and Statistics - Basic (A Short Course) PDF

Author: Brenda Meery

Publisher: CK-12 Foundation

Published: 2012-05-08

Total Pages: 165

ISBN-13: 1935983741

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CK-12 Foundation's Basic Probability and Statistics A Short Course is an introduction to theoretical probability and data organization. Students learn about events, conditions, random variables, and graphs and tables that allow them to manage data.

Foundations of Analysis

Foundations of Analysis PDF

Author: Joseph L. Taylor

Publisher: American Mathematical Soc.

Published: 2012

Total Pages: 411

ISBN-13: 0821889842

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Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. --Book cover.

Wavelets

Wavelets PDF

Author: Charles K. Chui

Publisher: SIAM

Published: 1997-01-01

Total Pages: 228

ISBN-13: 9780898719727

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Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail and there are step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it describes the basic concepts of these mathematical techniques, outlines the procedures for using them, compares the performance of various approaches, and provides information for problem solving, putting the reader at the forefront of current research.

Variational Analysis

Variational Analysis PDF

Author: R. Tyrrell Rockafellar

Publisher: Springer Science & Business Media

Published: 2009-06-26

Total Pages: 747

ISBN-13: 3642024319

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From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.

Real Mathematical Analysis

Real Mathematical Analysis PDF

Author: Charles Chapman Pugh

Publisher: Springer Science & Business Media

Published: 2013-03-19

Total Pages: 445

ISBN-13: 0387216847

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Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.

Precalculus Concepts Preliminary

Precalculus Concepts Preliminary PDF

Author: Warren W. Esty

Publisher:

Published: 1997

Total Pages: 0

ISBN-13: 9780132616942

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In trying to develop fluency in the abstract and symbolic language of algebra to ensure that readers learn, understand, and think mathematical thoughts, this text has the goal of enabling students to read, write, think and apply mathematics, and of giving students command of the facts and methods of algebra and trigonometry. The text emphasizes the appropriate and creative use of technology, but even more, the understanding of concepts and symbolism. In general, the goals for the text are to equip students for calculus and to promote understanding and retention of mathematical thoughts.

Mathematics for Machine Learning

Mathematics for Machine Learning PDF

Author: Marc Peter Deisenroth

Publisher: Cambridge University Press

Published: 2020-04-23

Total Pages: 392

ISBN-13: 1108569323

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The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.

Numerical Methods for Two-Point Boundary-Value Problems

Numerical Methods for Two-Point Boundary-Value Problems PDF

Author: Herbert B. Keller

Publisher: Courier Dover Publications

Published: 2018-11-14

Total Pages: 417

ISBN-13: 0486828344

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Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.