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Really Big Numbers
In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.
Mostly Surfaces
The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.
You Can Count on Monsters
This book is a unique teaching tool that takes math lovers on a journey designed to motivate kids (and kids at heart) to learn the fun of factoring and prime numbers. This volume visually explores the concepts of factoring and the role of prime and composite numbers. The playful and colorful monsters are designed to give children (and even older audiences) an intuitive understanding of the building blocks of numbers and the basics of multiplication. The introduction and appendices can also help adult readers answer questions about factoring from their young audience. The artwork is crisp and creative and the colors are bright and engaging, making this volume a welcome deviation from standard...
Life on the Infinite Farm
Mathematics professor from Brown University uses colorful illustrations and cartoons to display the concepts of infinity and large numbers.
Gallery of the Infinite
Gallery of the Infinite is a mathematician's unique view of the infinitely many sizes of infinity. Written in a playful yet informative style, it introduces important concepts from set theory (including the Cantor Diagonalization Method and the Cantor-Bernstein Theorem) using colorful pictures, with little text and almost no formulas. It requires no specialized background and is suitable for anyone with an interest in the infinite, from advanced middle-school students to inquisitive adults.
Spherical CR Geometry and Dehn Surgery
This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of closed real hyperbolic 3-manifolds which bound complex hyperbolic orbifolds--the only known examples of closed manifolds that simultaneously have these two kinds of geometric structures. The second is a complete understanding of the structure of complex hyperbolic reflection triangle groups in cases where the angle is small. In an accessible and straightforward manner, Richard Evan Schwartz also presents a large amount of useful information on complex hyperbolic geometry and discrete groups. Schwartz relies on elementary proofs and avoids quotations of preexisting technical material as much as possible. For this reason, this book will benefit graduate students seeking entry into this emerging area of research, as well as researchers in allied fields such as Kleinian groups and CR geometry.
No Bad Parts
'Innovative and transformational' - Gabor Maté 'Changed my life' - Rangan Chatterjee The empowering new way to discover your multifaceted mind. Do you long to break free from a stuck part of you - the inner critic, 'monkey mind', a bad habit or an addiction? What if there was a way to approach those aspects of you, to free you from the constant inner struggle and find true healing? In this groundbreaking international bestseller, Dr Richard Schwartz reveals that we are each born with an 'internal family' of distinct parts within us. Some of our parts can become trapped in destructive patterns, but learning to relate to each of them with curiosity, respect and empathy can vastly expand our capacity to heal. The Internal Family Systems (IFS) model will help you challenge the destructive behaviour of these parts, turn the ego, the inner critic and the saboteur into powerful allies, and allow you to return to a more whole and harmonious 'Self'.
Internal Family Systems Therapy
This book has been replaced by Internal Family Systems Therapy, Second Edition, ISBN 978-1-4625-4146-1.
The Plaid Model
Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of ordinary billiards. The Plaid Model, which is a self-contained sequel to Richard Schwartz’s Outer Billiards on Kites, provides a combinatorial model for orbits of outer billiards on kites. Schwartz relates these orbits to such topics as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The combinatorial model, called “the plaid model,” has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be extremely difficult to reach through traditional mathematics. The book includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration.
Internal Family Systems Therapy
Now significantly revised with over 70% new material, this is the authoritative presentation of Internal Family Systems (IFS) therapy, which is taught and practiced around the world. IFS reveals how the subpersonalities or "parts" of each individual's psyche relate to each other like members of a family, and how--just as in a family--polarization among parts can lead to emotional suffering. IFS originator Richard Schwartz and master clinician Martha Sweezy explain core concepts and provide practical guidelines for implementing IFS with clients who are struggling with trauma, anxiety, depression, eating disorders, addiction, and other behavioral problems. They also address strategies for trea...
