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Video
When Nicolas Bourbaki applied to the American Mathematical Society in the 1950s, he was already one of the most influential mathematicians of his time. He'd published articles in international journals and his textbooks were required reading. Yet his application was firmly rejected for one simple reason: Nicolas Bourbaki did not exist. How is that possible? Pratik Aghor digs into the mystery.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- History Bourbaki Nicolas Functions
- Resource Type:
- Video
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e-book
"We are often faced with questions concerning our finances: Am I saving enough to put my daughter through college? How much will my investment be worth five years from now? Should I pay down my mortgage with weekly or monthly payments? The mathematics of finance allows us to answer these and similar questions. This textbook aligns with Adult Basic Education (ABE) Advanced Level Mathematics"--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Business mathematics Mathematics Textbooks
- Resource Type:
- e-book
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e-book
"This resource covers the following learning objectives: explain the uses and misuses of statistics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Statistics Mathematical statistics
- Resource Type:
- e-book
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e-book
"This book is a polished version of the author's notes for a course entitled Several Complex Variables. It should be suitable for a semester-long topics course or for self-study as an introduction to the subject. The prerequisites are decent knowledge of vector calculus, basic real analysis, and a working knowledge of complex analysis in one variable. It should be accessible to beginning graduate students after a complex analysis course, and perhaps even very advanced undergraduates. This is enough material for a semester-long course, including quite a few exercises sprinkled throughout the text, all of which the reader should at least be attempting. It is not meant as an exhaustive reference, but simply as a whirlwind tour of several complex variables"--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Functions of complex variables
- Resource Type:
- e-book
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e-book
"This book is a continuation of Basic Analysis: Introduction to Real Analysis - Volume 1. Volume II continues into multivariable analysis, starting with differential calculus, including inverse and implicit function theorems, continuing with differentiation under the integral and path integrals, which are often not covered in a course like this, and multivariable Riemann integral. Finally, there is also a chapter on power series, Arzelà-Ascoli, Stone-Weierstrass, and Fourier series. Together, the two volumes provide enough material for several different types of year-long sequences. A student who absorbs the first volume and the first three chapters of volume II should be more than prepared for real and complex analysis courses at the graduate level"--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Functions of real variables Mathematical analysis
- Resource Type:
- e-book
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e-book
"This is a course in undergraduate real analysis, also known as advanced calculus. The book works for both basic courses for students who do not necessarily wish to go to graduate school and also more advanced courses that prepare students for graduate study and cover topics such as metric spaces. A prerequisite for the course is a basic proof course. This book starts with analysis on the real line, going through sequences, series, and then into continuity, the derivative, and the Riemann integral using the Darboux approach. There are plenty of available detours along the way, or you can power through toward the metric spaces in chapter 7. The philosophy is that metric spaces are absorbed much better by the students after they have gotten comfortable with basic analysis techniques in the very concrete setting of the real line. As a bonus, the book can be used both by slower-paced, more concrete courses, as well as a faster-paced, more abstract courses for future graduate students"--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Functions of real variables Mathematical analysis
- Resource Type:
- e-book
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e-book
"Elementary Algebra - 2e is designed to meet scope and sequence requirements for a one-semester elementary algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. The second edition contains detailed updates and accuracy revisions to address comments and suggestions from users. Dozens of faculty experts worked through the text, exercises and problems, graphics, and solutions to identify areas needing improvement. Though the authors made significant changes and enhancements, exercise and problem numbers remain nearly the same in order to ensure a smooth transition for faculty"--BC Campus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebra Textbooks Functions
- Resource Type:
- e-book
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e-book
"The Math for Trades: Volume 1 textbook represents the building blocks for math training. The book includes whole numbers, fractions, decimals, and percents. The material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. The goal of this volume is to get students prepared for the more advanced topics that they will encounter during their trades math education"--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics
- Resource Type:
- e-book
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Video
This video presents an overview of the Fourier Transform, which is one of the most important transformations in all of mathematical physics and engineering. This series will introduce the analytic theory of the Fourier Transform, along with the Fast Fourier Transform (FFT) algorithm for efficient computations. We will explore lots of applications in image compression, audio analysis, and solving partial differential equations.
- Course related:
- EIE4413 Digital Signal Processing, EIE3331 Communication Fundamentals, and EE3312 Linear Systems
- Subjects:
- Mathematics and Statistics
- Keywords:
- Fourier transformations
- Resource Type:
- Video
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Video
Professor Strang describes independent vectors and the column space of a matrix as a good starting point for learning linear algebra. His outline develops the five shorthand descriptions of key chapters of linear algebra.
- Course related:
- COMP4432 Machine Learning
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Video