พอดคาสท์ Mathematics ชั้นนำ (2025)

1
Colm-cille Caulfield: Reflections from DAMTP 35:51

16d ago35:51

35:51

Welcome to Voices of Mathematics, the podcast that takes you inside the Mathematics Faculty at the University of Cambridge. After five and a half years, Professor Colm-cille Caulfield stepped down as Head of the Department of Applied Mathematics and Theoretical Physics (DAMTP) here in Cambridge from 1 October 2025, handing over the role to Professo…

1
David Bressoud, "Calculus Reordered: A History of the Big Ideas" (Princeton UP, 2019) 1:27:28

20d ago1:27:28

1:27:28

Calculus Reordered: A History of the Big Ideas (Princeton UP, 2019) takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, and how its current structur…

1
Episode114-Ki Karou, "Belonging in Action" 34:40

27d ago34:40

34:40

Episode114-Ki Karou, "Belonging in Action"โดย NCSM Leadership in Mathematics Education

1
Chris Dalla Riva, "Uncharted Territory: What Numbers Tell Us about the Biggest Hit Songs and Ourselves" (Bloomsbury, 2025) 1:09:42

28d ago1:09:42

1:09:42

Popular music history collides with data analytics, charts, and numbers in this insightful and surprising look at the greatest hits and musicians, fads, forgotten artists, and much more. Data analyst and musician Chris Dalla Riva reframes everything you thought you knew about music. Did you know that hit songs in the late 1950s were regularly about…

1
Allen B. Downey, "Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions" (U Chicago Press, 2023) 1:02:40

29d ago1:02:40

1:02:40

Statistics are everywhere: in news reports, at the doctor's office, and in every sort of forecast, from the stock market to the weather. Blogger, teacher, and computer scientist Allen B. Downey knows well that people have an innate ability both to understand statistics and to be fooled by them. As he makes clear in this accessible introduction to s…

1
Introduction to Trigonometric Ratios | Episode 10 9:26

1M ago9:26

9:26

Welcome to another episode of Mathematics Simplified with Anjali Sharma! In this beginner-friendly lesson, we dive into the basics of trigonometry by exploring the six essential trigonometric ratios — sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). Learn how these ratios are defined in a right-angled tr…

1
Voices of Mathematics: David Tong 40:04

2M ago40:04

40:04

Welcome to the first ever edition of Voices of Mathematics, a podcast from the Mathematics Faculty at the University of Cambridge. From number theory and geometry to cosmology and quantum physics, join us to explore topics across pure and applied mathematics, mathematical statistics and theoretical physics. In this episode we talk to David Tong, Pr…

1
Episode113-Deborah Peart Crayton, "Building a Community of Mathers" 48:09

2M ago48:09

48:09

Episode113-Deborah Peart Crayton, "Building a Community of Mathers"โดย NCSM Leadership in Mathematics Education

1
Anthony Bonato, "Dots and Lines: Hidden Networks in Social Media, AI, and Nature" (Johns Hopkins UP, 2025) 1:05:42

2M ago1:05:42

1:05:42

Can networks unlock secrets of AI or make sense of a social media mess? A behind-the-scenes look at how networks reveal reality. According to mathematician Anthony Bonato, the hidden world of networks permeates our lives in astounding ways. From Bitcoin transactions to neural connections, Dots and Lines: Hidden Networks in Social Media, AI, and Nat…

1
Introduction to Trigonometric Ratios | Episode 9 8:55

2M ago8:55

8:55

Confused about which trigonometric functions are positive in different quadrants? In this episode of Mathematics Simplified, we break down the sign convention of trigonometric functions in all four quadrants in the simplest way possible. Learn the logic behind the signs, understand the coordinate plane connection, and remember it forever with the p…

1
George Musser, "Putting Ourselves Back in the Equation: Why Physicists Are Studying Human Consciousness and AI to Unravel the Mysteries of the Universe" (Picador, 2024) 1:02:10

2M ago1:02:10

1:02:10

A revelatory exploration of how a “theory of everything” depends upon our understanding of the human mind. The whole goal of physics is to explain what we observe. For centuries, physicists believed that observations yielded faithful representations of what is out there. But when they began to study the subatomic realm, they found that observation …

1
Noah Giansiracusa, "Robin Hood Math: Take Control of the Algorithms That Run Your Life" (Penguin, 2025) 1:02:25

3M ago1:02:25

1:02:25

Everything we do today is recorded as data that’s sold to the highest bidder. Plugging our personal data into impersonal algorithms has made government agencies more efficient and tech companies more profitable. But all this comes at a price. It’s easy to feel like an insignificant number in a world of number crunchers who care more about their bot…

1
Introduction to Trigonometric Ratios | Episode 8 7:27

3M ago7:27

7:27

Welcome to another episode of Mathematics Simplified with Anjali Sharma! In this beginner-friendly lesson, we dive into the basics of trigonometry by exploring the six essential trigonometric ratios — sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). Learn how these ratios are defined in a right-angled tr…

1
Episode112-Joshuah Thurbee, "Belonging Starts with Knowing Yourself" 48:42

3M ago48:42

48:42

Episode112-Joshuah Thurbee, "Belonging Starts with Knowing Yourself"โดย NCSM Leadership in Mathematics Education

1
Anil Ananthaswamy, "Why Machines Learn: The Elegant Maths Behind Modern AI" (Dutton, 2024) 1:07:21

3M ago1:07:21

1:07:21

Machine learning systems are making life-altering decisions for us: approving mortgage loans, determining whether a tumor is cancerous, or deciding if someone gets bail. They now influence developments and discoveries in chemistry, biology, and physics—the study of genomes, extrasolar planets, even the intricacies of quantum systems. And all this b…

1
Introduction to Trigonometric Ratios | Trigonometric Functions vs Ratios | Episode 7 7:09

3M ago7:09

7:09

In this episode of Mathematics Simplified by Anjali Sharma, we dive into a common point of confusion in trigonometry : the difference between trigonometric ratios and trigonometric functions. We often hear these terms used interchangeably, but they actually represent two different concepts. In this episode, we will:✔️ Understand what trigonometric …

1
Robyn Arianrhod, "Vector: A Surprising Story of Space, Time, and Mathematical Transformation" (U of Chicago Press, 2024) 1:07:46

4M ago1:07:46

1:07:46

A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions--sparking both controversy and discovery. The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word "vector" might remind you of the mathematics needed to determine forces on an amusement park ri…

1
Death of Archimedes 26:21

4M ago26:21

26:21

Archimedes’s emblematic death makes sense psychologically and embodies a rich historical picture in a single scene. Transcript Archimedes died mouthing back at an enemy soldier: “Don’t disturb my circles.” Or that’s how the story goes. Is this fact or fiction? We have third-hand accounts at best so there is plenty of room for doubt. But I’m putting…

1
Introduction to Trigonometric Ratios | Learn Trigonometry | Episode 6 6:32

4M ago6:32

6:32

Welcome to another episode of Mathematics Simplified with Anjali Sharma! In this beginner-friendly lesson, we dive into the basics of trigonometry by exploring the six essential trigonometric ratios — sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). Learn how these ratios are defined in a right-angled tr…

1
Chris Bernhardt, "Beautiful Math: The Surprisingly Simple Ideas behind the Digital Revolution in How We Live, Work, and Communicate" (MIT Press, 2024) 49:16

4M ago49:16

49:16

Most of us know something about the grand theories of physics that transformed our views of the universe at the start of the twentieth century: quantum mechanics and general relativity. But we are much less familiar with the brilliant theories that make up the backbone of the digital revolution. In Beautiful Math: The Surprisingly Simple Ideas behi…

1
Episode111-Rolanda Baldwin, "Redefine School Mathematics with a GLEAM!" 34:08

4M ago34:08

34:08

Episode111-Rolanda Baldwin, "Redefine School Mathematics with a GLEAM!"โดย NCSM Leadership in Mathematics Education

1
Introduction to Trigonometric Ratios | Learn Trigonometry | Episode 5 6:56

5M ago6:56

6:56

Welcome to another episode of Mathematics Simplified with Anjali Sharma! In this beginner-friendly lesson, we dive into the basics of trigonometry by exploring the six essential trigonometric ratios — sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). Learn how these ratios are defined in a right-angled tr…

1
Episode110-Yvonne Daniels, "Making a Ruckus -- Being an Educational Rebel" 43:48

5M ago43:48

43:48

Episode110-Yvonne Daniels, "Making a Ruckus -- Being an Educational Rebel"โดย NCSM Leadership in Mathematics Education

1
Introduction to Trigonometric Ratios | Learn Trigonometry | Episode 4 6:32

5M ago6:32

6:32

Welcome to another episode of Mathematics Simplified with Anjali Sharma! In this beginner-friendly lesson, we dive into the basics of trigonometry by exploring the six essential trigonometric ratios — sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). Learn how these ratios are defined in a right-angled tr…

1
Introduction to Trigonometric Ratios | Learn Trigonometry | Episode 3 6:00

5M ago6:00

6:00

Welcome to another episode of Mathematics Simplified with Anjali Sharma! In this beginner-friendly lesson, we dive into the basics of trigonometry by exploring the six essential trigonometric ratios — sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). Learn how these ratios are defined in a right-angled tr…

1
Introduction to Trigonometric Ratios | Learn Trigonometry | Episode 2 12:26

6M ago12:26

12:26

Welcome to another episode of Mathematics Simplified with Anjali Sharma! In this beginner-friendly lesson, we dive into the basics of trigonometry by exploring the six essential trigonometric ratios — sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). Learn how these ratios are defined in a right-angled tr…

1
Episode109-Marta Garcia, "Redefining Mathematics For Belonging" 39:26

6M ago39:26

39:26

Episode109-Marta Garcia, "Redefining Mathematics For Belonging"โดย NCSM Leadership in Mathematics Education

1
Introduction to Trigonometric Ratios | Learn Trigonometry | Episode 1 8:59

6M ago8:59

8:59

Welcome to another episode of Mathematics Simplified with Anjali Sharma! In this beginner-friendly lesson, we dive into the basics of trigonometry by exploring the six essential trigonometric ratios — sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). Learn how these ratios are defined in a right-angled tr…

1
The Many Facets of Math 15:54

7M ago15:54

15:54

Alon Amit addresses the various facets of mathematics. Is it an art or a science? Both? Neither? Is it invented or discovered? Why is math that's developed for purely aesthetic reasons so often a useful tool for the real world? He likes that there are not simple, one-way answers. He challenges the listeners to post questions to Quora that surprise …

1
Scientists Cooperate while Humanists Ruminate (EF, JP) 39:46

7M ago39:46

39:46

Back in 2021, John and Elizabeth sat down with Brandeis string theorist Albion Lawrence to discuss cooperation versus solitary study across disciplines. They sink their teeth into the question, “Why do scientists seem to do collaboration and teamwork better than other kinds of scholars and academics?” The conversation ranges from the merits of coll…

1
Episode108-JMEL Authors, "Building a Vision for Everyone To Belong" 34:58

7M ago34:58

34:58

Episode108-JMEL Authors, "Building a Vision for Everyone To Belong"โดย NCSM Leadership in Mathematics Education

1
Will AI Replace Mathematicians? 20:11

8M ago20:11

20:11

Alon Amit, prolific Quora math answerer, discusses how Artificial Intelligence might change the role of the mathematician. AI will make mathematics more efficient but it can't do math in a deep sense at present. It can't perform logical reasoning or even know if it's wrong. However, there are recent advances in proof verifiers. They may eventually …

1
Grace Lindsay, "Models of the Mind: How Physics, Engineering and Mathematics Have Shaped Our Understanding of the Brain" (Bloomsbury, 2021) 49:54

8M ago49:54

49:54

Models of the Mind: How Physics, Engineering and Mathematics Have Shaped Our Understanding of the Brain (Bloomsbury, 2021) provides a multifaceted and approachable introduction to theoretical neuroscience. It discusses some major topics of the field, including both the milestones from their history and the currently open questions. It's accessible …

1
Episode107-Lynne Godfrey, "Mathematics: Teaching Mathematics like Social Studies" 40:30

8M ago40:30

40:30

Episode107-Lynne Godfrey, "Mathematics: Teaching Mathematics like Social Studies"โดย NCSM Leadership in Mathematics Education

1
The National Museum of Mathematics 17:52

8M ago17:52

17:52

Cindy Lawrence is the Director and CEO of the National Museum of Mathematics in New York City. She and a former math professor built it up from a grass-roots museum started by math teachers. The Museum, soon to move into a 30,000 square foot space, appeals to both those who love and hate math. Attendees learn that math is beautiful, fun, and surpri…

1
Episode106-Lou Matthews, "Mathematics: Seeing the Beauty in People" 44:00

9M ago44:00

44:00

Episode106-Lou Matthews, "Mathematics: Seeing the Beauty in People"โดย NCSM Leadership in Mathematics Education

1
Karenleigh A. Overmann, "The Material Origin of Numbers: Insights from the Archaeology of the Ancient Near East" (Gorgias Press, 2024) 10:50

9M ago10:50

10:50

What are numbers, and where do they come from? Based on her groundbreaking study of material devices used for counting in the Ancient Near East, Karenleigh Overmann proposes a novel answer to these timeless questions. Tune in as we talk with Karenleigh Overmann about her book, The Material Origin of Numbers: Insights from the Archaeology of the Anc…

1
Contemporary Math Research for Artistic Undergrads 14:13

10M ago14:13

14:13

Veselin Jungic, teaching professor of mathematics at Simon Fraser University, introduces undergraduate math minors to contemporary math research. The focus is Ramsey theory, an area of current research activity that brings together multiple areas of math, deals with big ideas, proves complete chaos is impossible, and is built on human stories. Some…

1
Episode105-Hanaa Elmi, "Embracing Students from Fragments to their Whole Authentic Selves" 32:17

10M ago32:17

32:17

Episode105-Hanaa Elmi, "Embracing Students from Fragments to their Whole Authentic Selves"โดย NCSM Leadership in Mathematics Education

1
Torricelli’s trumpet is not counterintuitive 56:39

10M ago56:39

56:39

There is nothing counterintuitive about an infinite shape with finite volume, contrary to the common propaganda version of the calculus trope known as Torricelli’s trumpet. Nor was this result seen as counterintuitive at the time of its discovery in the 17th century, contrary to many commonplace historical narratives. Transcript Torricelli’s trumpe…

1
Where do Math Concepts Come From? 20:37

11M ago20:37

20:37

Joseph Bennish discusses math as a "concept factory." The concept of prime numbers came from a desire to break numbers down to their simplest atoms. This simple concept led to simple questions like the twin prime conjecture that no one has been able to answer. Those questions in turn led to deep research. The concepts of new geometries grew out of …

1
Luci Pangrazio and Neil Selwyn, "Critical Data Literacies: Rethinking Data and Everyday Life" (MIT Press, 2023) 38:00

11M ago38:00

38:00

Data has become a defining issue of current times. Our everyday lives are shaped by the data that is produced about us (and by us) through digital technologies. In Critical Data Literacies: Rethinking Data and Everyday Life (MIT Press, 2023), Luci Pangrazio and Neil Selwyn introduce readers to the central concepts, ideas, and arguments required to …

1
Episode104-RunningHorse Livingston, "Belonging: Teaching Culture vs. Teaching Culturally" 45:10

11M ago45:10

45:10

Episode104-RunningHorse Livingston, "Belonging: Teaching Culture vs. Teaching Culturally"โดย NCSM Leadership in Mathematics Education

1
A Clockmaker, an Egg, and a Cathedral 14:02

11M ago14:02

14:02

Jeanne Lazzarini tells us how a clockmaker used an egg to win the competition to build the dome of the Florence Cathedral. The Cathedral had had a huge gaping hole for a hundred years since no one knew how to build such a large dome. His solution involved the equation for a hanging chain and parallel lines that meet.…

1
NUMBER SYSTEMS IX - Complex Numbers | Mathematics Simplified 10:53

12M ago10:53

10:53

In this episode of Mathematics Simplified, we dive into the world of complex numbers! Join us as we break down what complex numbers are, why they’re important, and how they’re used in mathematics and beyond. We’ll explain the basic form of a complex number and walk through simple operations like addition and multiplication. Plus, we’ll cover key co…

1
Episode103-Crystal Watson, "Belonging: The Power of Believing" 27:19

12M ago27:19

27:19

Episode103-Crystal Watson, "Belonging: The Power of Believing"โดย NCSM Leadership in Mathematics Education

1
What is a Pattern? 12:46

1y ago12:46

12:46

Math is in a sense the science of patterns. Alon Amit explores the question of what exactly is a pattern. A common example is the decimal digits of pi. The statement that they have no pattern seems to be either obvious or completely untrue. We explore the spectrum of pattern-ness from simple repetition to total randomness and finally answer the que…

1
Episode102-Karen Riley Jeffers and Abel Maestas, "Introducing the New Voices of "Learning with Leaders" 35:52

1y ago35:52

35:52

Episode102-Karen Riley Jeffers and Abel Maestas, "Introducing the New Voices of "Learning with Leaders"โดย NCSM Leadership in Mathematics Education

พอดคาสต์ที่ควรค่าแก่การฟัง

Mathematics พอดคาสต์

พอดคาสต์ที่ควรค่าแก่การฟัง

คู่มืออ้างอิงด่วน