Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.

    Fundamentals of Financial Management is the route to understanding the financial decision-making process and to interpreting the impacts that financial decisions have on value creation. Ideal for those new to financial management, this sparklingly clear text cuts through the mire of the financial decision-making process. A practical and reliable book, free from technical errors, backed up by a wealth of award-winning support material.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    This book includes discussions which aid in student understanding of theoretical material through the use of specific cases. It is suitable for undergraduate Mechanics course.

    In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    All her life Ellie Enderlin had been known as Lila’s sister. Until one day, without warning, the shape of their family changed forever. Twenty years ago, Lila, a top math student at Stanford, was murdered in a crime that was never solved. In the aftermath of her sister’s death, Ellie entrusted her most intimate feelings to a man who turned the story into a bestselling true crime book—a book that both devastated her family and identified one of Lila’s professors as the killer.Decades later, two Americans meet in a remote village in Nicaragua. Ellie is now a professional coffee buyer, an inveterate traveler and incapable of trust. Peter is a ruined academic. And their meeting is not by chance. As rain beats down on the steaming rooftops of the village, Peter leaves Ellie with a gift—the notebook that Lila carried everywhere, a piece of evidence not found with her body. Stunned, Ellie will return home to San Francisco to explore the mysteries of Lila’s notebook, filled with mathematical equations, and begin a search that has been waiting for her all these years. It will lead her to a hundred-year-old mathematical puzzle, to a lover no one knew Lila had, to the motives and fate of the man who profited from their family’s anguish—and to the deepest secrets even sisters keep from each other. As she connects with people whose lives unknowingly swirled around her own, Ellie will confront a series of startling revelations—from the eloquent truths of numbers to confessions of love, pain and loss.A novel about the stories and lies that strangers, lovers and families tell—and the secrets we keep even from ourselves—Michelle Richmond’s new novel is a work of astonishing depth and beauty, at once heartbreaking, provocative, and impossible to put down.