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Distilling Ideas
Mathematics is not a spectator sport; successful students of mathematics grapple with ideas for themselves. Distilling Ideas presents a carefully designed sequence of exercises and theorem statements that challenge students to create proofs and concepts. As students meet these challenges, they discover strategies of proofs and strategies of thinking beyond mathematics. In other words, Distilling Ideas helps its users to develop the skills, attitudes, and habits of mind of a mathematician, and to enjoy the process of distilling and exploring ideas. Distilling Ideas is an ideal textbook for a first proof-based course. The text engages the range of students' preferences and aesthetics through a corresponding variety of interesting mathematical content from graphs, groups, and epsilon-delta calculus. Each topic is accessible to users without a background in abstract mathematics because the concepts arise from asking questions about everyday experience. All the common proof structures emerge as natural solutions to authentic needs. Distilling Ideas or any subset of its chapters is an ideal resource either for an organized Inquiry Based Learning course or for individual study.
Calculus for the Life Sciences: A Modeling Approach
Calculus for the Life Sciences is an entire reimagining of the standard calculus sequence with the needs of life science students as the fundamental organizing principle. Those needs, according to the National Academy of Science, include: the mathematical concepts of change, modeling, equilibria and stability, structure of a system, interactions among components, data and measurement, visualization, and algorithms. This book addresses, in a deep and significant way, every concept on that list. The book begins with a primer on modeling in the biological realm and biological modeling is the theme and frame for the entire book. The authors build models of bacterial growth, light penetration thr...
Intransigence and Indifference: Essays Concerning Religion and Spirituality
Intransigence & Indifference introduces you to religious beliefs and practices from around the world. It takes you into the spiritual realm and engulfs you in the paranormal and the supernatural while paying close attention to detail and the philosophy of religion. Engage in well researched articles and educate yourself on the religious beliefs surrounding you in a world where so little is known as so much is made mundane. The author debates and rebuttals many firm concepts common to Western belief, tackling the definition of marriage, Christmas traditions, traditional characteristics of God, the use of narcotics to induce an ecstatic state, and the basis of evil in the world today.
An Invitation to Real Analysis
An Invitation to Real Analysis is written both as a stepping stone to higher calculus and analysis courses, and as foundation for deeper reasoning in applied mathematics. This book also provides a broader foundation in real analysis than is typical for future teachers of secondary mathematics. In connection with this, within the chapters, students are pointed to numerous articles from The College Mathematics Journal and The American Mathematical Monthly. These articles are inviting in their level of exposition and their wide-ranging content. Axioms are presented with an emphasis on the distinguishing characteristics that new ones bring, culminating with the axioms that define the reals. Set ...
A TeXas Style Introduction to Proof
A TeXas Style Introduction to Proof is an IBL textbook designed for a one-semester course on proofs (the “bridge course”) that also introduces TeX as a tool students can use to communicate their work. As befitting “textless” text, the book is, as one reviewer characterized it, “minimal.” Written in an easy-going style, the exposition is just enough to support the activities, and it is clear, concise, and effective. The book is well organized and contains ample carefully selected exercises that are varied, interesting, and probing, without being discouragingly difficult.
Chinese Mythology Rocks!
"Read how Panku created the world and Nuwa created people, the grand archer Yi, and seven other important Chinese myths"--Provided by publisher
Geometry Illuminated
Geometry Illuminated is an introduction to geometry in the plane, both Euclidean and hyperbolic. It is designed to be used in an undergraduate course on geometry, and as such, its target audience is undergraduate math majors. However, much of it should be readable by anyone who is comfortable with the language of mathematical proof. Throughout, the goal is to develop the material patiently. One of the more appealing aspects of geometry is that it is a very "visual" subject. This book hopes to takes full advantage of that, with an extensive use of illustrations as guides. Geometry Illuminated is divided into four principal parts. Part 1 develops neutral geometry in the style of Hilbert, inclu...
Thinking Geometrically
Thinking Geometrically: A Survey of Geometries is a well written and comprehensive survey of college geometry that would serve a wide variety of courses for both mathematics majors and mathematics education majors. Great care and attention is spent on developing visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Students with less mathematical preparation than upper-division mathematics majors can successfully study the topics needed for the preparation of high school teachers. There is a multitude of exercises and projects in those chapters developing all aspects of geometric thinking for these stu...
When Sickness Heals
In When Sickness Heals, Dr. Siroj Sorajjakool draws on more than ten years of studies on health benefits in relation to spirituality, especially focusing on the function of "meaning." He expounds on his theory that healing is primarily the function of meaning, and meaning transcends sickness and even death itself. He concludes that what people ultimately seek in life is the healing of their souls. Sorajjakool brings many Eastern and Western resources to his conversation on health, meaning, and healing. He incorporates the perspectives of theologians and philosophers like Paul Tillich, Carl Jung, Søren Kierkegaard, Raimundo Panikkar, Dietrich Bonhoeffer, and John Macquarrie; as well as refer...
Statement of Disbursements of the House
Covers receipts and expenditures of appropriations and other funds.
