APEX Calculus
APEX Calculus

Author: Gregory Hartman

Publisher:

Published: 2015

Total Pages: 0

ISBN-13: 9781514225158

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APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Analysis I
Analysis I

Author: Terence Tao

Publisher: Springer

Published: 2016-08-29

Total Pages: 366

ISBN-13: 9811017891

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This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

Evaluating Emotions
Evaluating Emotions

Author: Eva-Maria Düringer

Publisher: Springer

Published: 2014-07-21

Total Pages: 160

ISBN-13: 113738980X

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How are emotions related to values? This book argues against a perceptual theory of emotions, which sees emotions as perception-like states that help us gain evaluative knowledge, and argues for a caring-based theory of emotions, which sees emotions as felt desires or desire satisfactions, both of which arise out of caring about something.

Who Gave You the Epsilon?
Who Gave You the Epsilon?

Author: Marlow Anderson

Publisher: MAA

Published: 2009-03-31

Total Pages: 448

ISBN-13: 9780883855690

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Follows on from Sherlock Holmes in Babylon to take the history of mathematics through the nineteenth and twentieth centuries.

Lectures on the Philosophy of Mathematics
Lectures on the Philosophy of Mathematics

Author: Joel David Hamkins

Publisher: MIT Press

Published: 2021-03-09

Total Pages: 350

ISBN-13: 0262542234

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An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

The Story of Life & the Environment
The Story of Life & the Environment

Author: Jo van As

Publisher: Penguin Random House South Africa

Published: 2012-10-30

Total Pages: 460

ISBN-13: 1920544542

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The Story of Life & the Environment – an African perspective is about the fragile miracle of life. It’s a celebration of the Earth’s rich and wonderful diversity – the species, populations, communities and ecosystems that surround us – and of nature’s resilience. It unpacks the three major ecosystems: fresh water, the ocean and the land, and the teeming life each supports on and around Africa. It discusses evolution and the ever-branching tree of life; how systems work, how populations expand and contract, and how all the elements of life interact. And it tells the story of how humans originated in Africa, and how we have evolved to become modern people. The book sounds a warning about our human impact on the planet, which is fostering rapid climate change, as well as massive over-consumption and depletion of resources. The book is also about responsible planning and management of our environment and natural resources to redress damage and ensure sustainability. This is the story of life and the environment in Africa.