Solutions to selected exercises, Elementary differential equations


Earl D. Rainville - 1981
    

Integral Christianity: The Spirit's Call to Evolve


Paul R. Smith - 2011
    The perspectives of integral theory and practice, articulated by Ken Wilber, help uncover the integral approach that Jesus advocated and demonstrated in the metaphors of his time and that traditional Christianity has largely been unable to see. Smith incorporates elements of traditional, modern, and postmodern theological viewpoints, including progressive, New Thought, and emerging/emergent ones. However, he goes beyond all of them and moves to a Christianity that is devoted to following both the historical Jesus and the Risen Christ whose Spirit beckons to us from the future. Smith says, "The oldest thing you can say about God is that God is always doing something new. Jesus pushed his own religion to newness by including the best of its past, and transcending the worst of its present. He calls us to do the same, whatever our religion is today."

Higher Engineering Mathematics


B.V. Ramana - 2006
    Plethora of Solved examples help the students know the variety of problems & Procedure to solve them. Plenty of practice problems facilitate testing their understanding of the subject. Key Features: Covers the syllabus of all the four papers of Engineering Mathematics Detailed coverage of topics with lot of solved examples rendering clear understanding to the students. Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Chapters on preliminary topics like Analytical Solid Geometry Matrices and Determinants Sequence and Series Complex Numbers Vector Algebra Differential and Integral Calculus Extensive coverage of Probability and Statistics (5 chapters). Covers the syllabus of all the four papers of Engineering Mathematics Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Extensive coverage of ?Probability and Statistics (5 chapters) Table of Content: PART I PRELIMI NARIES Chapter 1 Vector Algebra , Theory of Equations ,Complex Numbers PART II DIFFERENTIAL AND INTEGRAL CALCULUS

How to Make Great Decisions


Mike Schmitz - 2019
    But have you ever felt like you are too busy "discerning" to actually decide? True decision-making is more than just thinking about something . . . decisions involve taking action.YouTube star, Fr. Mike Schmitz, gives you the tools to decide what to do with your life today, tomorrow, and in the future with clarity and confidence. In this little book you will learn to:• know when God is speaking,• how to recognize the "signs,"• and make wise decisions for your life.Fate is when you're fixed; you don't have a choice. Destiny is your destination . . . Know your destiny.

Nonzero: The Logic of Human Destiny


Robert Wright - 1999
    Now Wright attempts something even more ambitious: explaining the direction of evolution and human history–and discerning where history will lead us next.In Nonzero: The Logic of Human Destiny, Wright asserts that, ever since the primordial ooze, life has followed a basic pattern. Organisms and human societies alike have grown more complex by mastering the challenges of internal cooperation. Wright's narrative ranges from fossilized bacteria to vampire bats, from stone-age villages to the World Trade Organization, uncovering such surprises as the benefits of barbarian hordes and the useful stability of feudalism. Here is history endowed with moral significance–a way of looking at our biological and cultural evolution that suggests, refreshingly, that human morality has improved over time, and that our instinct to discover meaning may itself serve a higher purpose. Insightful, witty, profound, Nonzero offers breathtaking implications for what we believe and how we adapt to technology's ongoing transformation of the world.From the Trade Paperback edition.

Unquestioned Answers: Rethinking Ten Christian Clichés to Rediscover Biblical Truths


Jeff Myers - 2020
    Sometimes they even substitute for truth, leading to a fragile and shallow faith. But what if a close study of these clichés could lead us to deep biblical truth?   In Unquestioned Answers, Dr. Jeff Myers rethinks ten popular Christian clichés. Through an in-depth and fresh look, Myers shares insights into these overused statements to strengthen readers’ faith and encourage them to share Jesus with others. Walk with Myers on a path to biblical truth as he explores critical topics such as social justice, faith, sin, loving others, God’s goodness, prayer, and more.

Math Hysteria: Fun and Games with Mathematics


Ian Stewart - 2004
    Ian Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale, including Counting the Cattle of the Sun, The Great Drain Robbery, and Preposterous Piratical Predicaments. Fully illustrated with explanatory diagrams, each tale is told with engaging wit, sure to amuse everyone with an interest in puzzles and mathematics. Along the way, we also meet many curious characters. Containing twenty specially-commissioned cartoons, this book will delight all who are familiar with Stewart's many other books, such as What Shape is a Snowflake? and Flatterland and anyone interested in mathematical problems. In short, these stories are engaging, challenging, and lots of fun!

Long Journey Home: A Guide to Your Search for the Meaning of Life


Os Guinness - 2001
    Rich in stories and profoundly personal as well as practical, it explores the great philosophies of life and charts the road toward meaning taken by countless seekers over the centuries. It assumes no faith in the reader, only the recognition that the humanness of life as a journey is something we should all care about enough to seek to make sense of it and to make up our minds for ourselves.

A Faith for All Seasons


Ted M. Dorman - 1995
    Dorman revises his textbook, which introduces and explains the classic doctrines of the historic Christian faith. While systematic in organization, the book remains written for students, aiming to bring them to an understanding of the central doctrines of the Christian church including the doctrines of Scripture, God, creation, humanity, atonement, salvation, and eschatology.

Thirty-One Prayers for My Wife: Seeing God Move in Her Heart


Aaron Smith - 2015
    My hope is that this marriage resource motivates you to intentionally pray and petition for your wife and your marriage on a daily basis through the power of prayer. There is even free writing space for you to add your own thoughts and prayers to each marriage prayer, to make them your own, and to lift up specific prayer requests your wife may have. I urge you to consider the importance of being a husband of faithful prayer, to commit to praying for your wife and marriage daily, and watch God move in both your hearts! If you have been blessed by the marriage book, "Power of a Praying Husband by Stormie Omartian", you will also be inspired by 31 Prayers For My Wife.This compilation of marriage prayers was carefully composed based on areas of life that almost every wife faces. As you use this resource to pray over your wife you will: Be encouraged to pray for specific areas of her life. Be challenged to make prayer a priority in your marriage. And your heart desires will align with God's "

104 Number Theory Problems: From the Training of the USA IMO Team


Titu Andreescu - 2006
    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics


James D. Stein - 2008
    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

M.C. Escher: Visions of Symmetry


Doris Schattschneider - 1990
    It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzlelike interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by analyzing Escher's notebooks." Visions of Symmetry includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. This new edition also features a foreward and an illustrated epilogue that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists.

Advanced Engineering Mathematics


K.A. Stroud - 2003
    You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

A Mathematician's Lament


Paul Lockhart
    He proposes his solution.