Book Description
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.
Author : CK-12 Foundation
Publisher : CK-12 Foundation
Page : 617 pages
File Size : 22,17 MB
Release : 2012-04-11
Category : Mathematics
ISBN : 1935983598
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.
Author : CK-12 Foundation
Publisher : CK-12 Foundation
Page : 603 pages
File Size : 33,32 MB
Release : 2010-08-15
Category : Mathematics
ISBN : 1935983016
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.
Author : Brenda Meery
Publisher : CK-12 Foundation
Page : 165 pages
File Size : 41,81 MB
Release : 2012-05-08
Category : Mathematics
ISBN : 1935983741
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.
Author : Thomas Richards
Publisher : Carson-Dellosa Publishing
Page : 178 pages
File Size : 44,66 MB
Release : 2009-01-04
Category : Juvenile Nonfiction
ISBN : 0768238080
Test with success using the Spectrum Math workbook! This book helps students in grade 8 apply essential math skills to everyday life. The lessons focus on ratio and proportion, fractions, percents, calculating interest, perimeter, volume, and statistics,
Author : Sheldon Axler
Publisher : Springer Nature
Page : 430 pages
File Size : 24,10 MB
Release : 2019-11-29
Category : Mathematics
ISBN : 3030331431
This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on Rn. Chapters on Banach spaces, Lp spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for compact operators, with an optional interlude in real and complex measures. Building on the Hilbert space material, a chapter on Fourier analysis provides an invaluable introduction to Fourier series and the Fourier transform. The final chapter offers a taste of probability. Extensively class tested at multiple universities and written by an award-winning mathematical expositor, Measure, Integration & Real Analysis is an ideal resource for students at the start of their journey into graduate mathematics. A prerequisite of elementary undergraduate real analysis is assumed; students and instructors looking to reinforce these ideas will appreciate the electronic Supplement for Measure, Integration & Real Analysis that is freely available online. For errata and updates, visit https://measure.axler.net/
Author : Joseph L. Taylor
Publisher : American Mathematical Soc.
Page : 411 pages
File Size : 36,28 MB
Release : 2012
Category : Mathematics
ISBN : 0821889842
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.
Author : Charles Chapman Pugh
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 34,53 MB
Release : 2013-03-19
Category : Mathematics
ISBN : 0387216847
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.
Author : R. Tyrrell Rockafellar
Publisher : Springer Science & Business Media
Page : 747 pages
File Size : 44,65 MB
Release : 2009-06-26
Category : Mathematics
ISBN : 3642024319
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.
Author : Bahman Kalantari
Publisher : World Scientific
Page : 492 pages
File Size : 40,74 MB
Release : 2009
Category : Computers
ISBN : 9812700595
This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.
Author : Kenneth A. Ross
Publisher : CUP Archive
Page : 192 pages
File Size : 40,78 MB
Release : 2014-01-15
Category : Mathematics
ISBN :