This 10-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

This is an audiobook about math, but it contains no numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math - topology, analysis, and algebra - which turn out to be surprisingly easy to grasp. This audiobook upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. Join this freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject.

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.

Kant is arguably the most influential modern philosopher, but also one of the most difficult. Roger Scruton tackles his exceptionally complex subject with a strong hand, exploring the background to Kant's work and showing why the Critique of Pure Reason has proved so enduring.

When Europeans first arrived in North America, between five and eight million Indigenous people were already living there. But how did they come to be here? What were their agricultural, spiritual, and hunting practices? How did their societies evolve, and what challenges do they face today? Eminent historians Theda Perdue and Michael Green begin by describing how nomadic bands of hunter-gatherers followed the bison and woolly mammoth over the Bering land mass between Asia and what is now Alaska between 25,000 and 15,000 years ago, settling throughout North America.

In this Very Short Introduction audiobook, marine biologist Philip Mladenov provides an accessible and up-to-date overview of marine biology, offering a tour of marine life and marine processes that ranges from the unimaginably abundant microscopic organisms that drive the oceans' food web to the apex predators that we exploit for food; from polar ocean ecosystems to tropical coral reefs; and from the luxurious kelp beds of the coastal ocean to deep-ocean hydrothermal vents where life exists without the energy of the sun.

This Very Short Introduction audiobook celebrates the centrality of ecology in our lives. Jaboury Ghazoul explores how ecology has evolved rapidly from natural history to become a predictive science that explains how the natural world works and which guides environmental policy and management decisions.

Hegel is regarded as one of the most influential figures on modern political and intellectual development. After painting Hegel's life and times in broad strokes, Peter Singer goes on to tackle some of the more challenging aspects of Hegel's philosophy. Offering a broad discussion of Hegel's ideas and an account of his major works, Singer explains what have often been considered abstruse and obscure ideas in a clear and inviting manner.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.

In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively - secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions - you just need the creativity to see them.

The conflict between Palestine and Israel is one of the most highly publicized and bitter struggles in history. In this accessible and stimulating Very Short Introduction, Martin Bunton clearly explains the history of the problem, reducing it to its very essence - a modern territorial contest between two nations and one geographical territory.Providing a clear and fair exploration of the main issues, Bunton explores not only the historical basis of the conflict, but also looks at how and why partition has been so difficult and how efforts to restore peace continue today.

In this Very Short Introduction audiobook, Jan Zalasiewicz gives a brief introduction to the fascinating field of geology. Describing how the science developed from its early beginnings, he looks at some of the key discoveries that have transformed it before delving into its various subfields, such as sedimentology, tectonics, and stratigraphy.

How did we get here? All cultures have a creation story, but a little over 150 years ago, Charles Darwin introduced a revolutionary new one. We, and all living things, exist because of the action of evolution on the first simple life form and its descendants. In How Evolution Explains Everything About Life, leading biologists and New Scientist take you on a journey of a lifetime, exploring the questions of whether life is inevitable or a one-off fluke and how it got kick-started.

This Very Short Introduction discusses the key concepts of biochemistry, as well as the historical figures in the field and the molecules they studied, before considering the current science and innovations in the field, and the interaction between biochemistry, biotechnology, and synthetic biology.

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.

This 10-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Critical theory emerged in the 1920s from the work of the Frankfurt School, the circle of German-Jewish academics who sought to diagnose—and, if at all possible, cure—the ills of society, particularly fascism and capitalism. In this book, Stephen Eric Bronner provides sketches of leading representatives of the critical tradition (such as George Lukács and Ernst Bloch, Theodor Adorno and Walter Benjamin, Herbert Marcuse and Jurgen Habermas) as well as many of its seminal texts and empirical investigations.

One of the leading philosophical movements of the 20th century, existentialism has had more impact on literature and the arts than any other school of thought. Focusing on the leading figures of existentialism, including Sartre, Nietzsche, Heidegger, Kierkegaard, de Beauvoir, Merleau-Ponty, and Camus, Thomas Flynn offers a concise account of existentialism, explaining the key themes of individuality, free will, and personal responsibility, which marked the movement as a way of life, not just a way of thinking.

This second edition of the Very Short Introduction on ethics has revised and updated aspects of the original to reflect changing times and mores. It highlights the importance of an understanding of approaches to ethics and its foundations, confronted as we are with a fluid and uncertain world of eroding trust, swirling conspiracy theories, and a dismaying loss of respect in public discourse.

The beauty of fractal patterns and their relation to chaos, as well as the history of chaos, and its uses in the real world and implications for the philosophy of science are all discussed in this Very Short Introduction audiobook.

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio.

Ludwig Wittgenstein (1889-1951) was an extraordinarily original thinker, whose influence on 20th-century thinking far outside the bounds of philosophy alone. In this engaging Introduction, A. C. Grayling makes Wittgenstein's thought accessible to the general listener by explaining the nature and impact of Wittgenstein's views. He describes both his early and later philosophy, the differences and connections between them, and gives a fresh assessment of Wittgenstein's continuing influence on contemporary thought.

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a groundbreaking field that analyzes how to play games in a rational way.

Kant is arguably the most influential modern philosopher, but also one of the most difficult. Roger Scruton tackles his exceptionally complex subject with a strong hand, exploring the background to Kant's work and showing why the Critique of Pure Reason has proved so enduring.

In this Very Short Introduction, Robert Segal introduces the array of approaches used to understand the study of myth. These approaches hail from disciplines as varied as anthropology, sociology, psychology, literary criticism, philosophy, science, and religious studies. Including ideas from theorists as varied as Sigmund Freud, Claude Levi-Strauss, Albert Camus, and Roland Barthes, Segal uses the famous ancient myth of Adonis to analyze their individual approaches and theories.

What is time? What does it mean for time to pass? Is it possible to travel in time? What is the difference between the past and future? Until the work of Newton, these questions were purely topics of philosophical speculation. Since then we've learned a great deal about time, and its study has moved from a subject of philosophical reflection to instead became part of the subject matter of physics.

Timothy Williamson tackles some of the key questions surrounding philosophy in new and provocative ways, showing how philosophy begins in common sense curiosity, and develops through our capacity to dispute rationally with each other. Discussing philosophy's ability to clarify our thoughts, he explains why such clarification depends on the development of philosophical theories, and how those theories can be tested by imaginative thought experiments, and compared against each other by standards similar to those used in the natural and social sciences.

Philosophy of Physics is concerned with the deepest theories of modern physics - notably quantum theory, our theories of space, time and symmetry, and thermal physics - and their strange, even bizarre conceptual implications. A deeper understanding of these theories helps both physics, through pointing the way to new theories and new applications, and philosophy, through seeing how our worldview has to change in the light of what we learn from physics.

Written in simple and accessible language, this nontechnical introduction to cosmology, or the creation and development of the universe, explains the discipline, covers its history, details the latest developments, and explains what is known, what is believed, and what is purely speculative. In addition, the author discusses the development of the Big Bang theory, and more speculative modern issues like quantum cosmology, superstrings, and dark matter.