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1. |  Stochastic Calculus for Finance By: Marek Capiski; Ekkehard Kopp; Janusz Traple Publisher: Cambridge University Press Publication Date: 23-AUG-2012 Insert Date: 05-DEC-2012 Slots: 1.0 | Overview: Stochastic Calculus for Finance
This book focuses specifically on the key results in stochastic processes that have become essential for finance practitioners to understand. The authors study the Wiener process and Ito integrals in some detail, with a focus on results needed for the Black–Scholes option pricing model. After developing the required martingale properties of this process, the construction of the integral and the Ito formula (proved in detail) become the centrepiece, both for theory and applications, and to provide concrete examples of stochastic differential equations used in finance. Finally, proofs of...
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2. |  The Gross-Zagier Formula on Shimura Curves By: Xinyi Yuan; Shou-wu Zhang; Wei Zhang Publisher: Princeton University Press Publication Date: 11-NOV-2012 Insert Date: 29-NOV-2012 Slots: 1.0 | Overview: The Gross-Zagier Formula on Shimura Curves
This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves. This is followed by a complete proof...
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3. |  Pre-Calculus For Dummies, 2nd Edition By: Yang Kuang PhD; Elleyne Kase Publisher: For Dummies Publication Date: 26-JUN-2012 Insert Date: 14-JUL-2012 Slots: 1.0 | Overview: Pre-Calculus For Dummies, 2nd Edition
The fun and easy way to learn pre-calculus
Getting ready for calculus but still feel a bit confused? Have no fear. Pre-Calculus For Dummies is an un-intimidating, hands-on guide that walks you through all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations.
With this guide's help you'll quickly and painlessly get a handle on all of the concepts — not just the number crunching — and understand how to perform all pre-calc tasks, from graphing to tackling proofs. You'll also get a new...
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4. |  Precalculus with Calculus Previews, 5th Edition By: Dennis G. Zill; Jacqueline M. Dewar Publisher: Jones & Bartlett Learning Publication Date: 27-DEC-2012 Insert Date: 04-MAY-2012 Slots: 1.0 | Overview: Precalculus with Calculus Previews, 5th Edition Incorporating Zill's student-friendly writing style and modern examples, Precalculus with Calculus Previews, Fifth Edition includes all of the outstanding features and learning tools found in the original text, Essentials of Precalculus with Calculus Previews, while incorporating additional coverage that some courses may require. With a continued aim to keep the text complete, yet concise, the authors added four additional chapters making the text a clear choice for many mainstream courses.
This student-friendly, four-color text offers numerous exercise sets and examples to aid in...
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5. |  Hypoelliptic Laplacian and Orbital Integrals (AM-177) By: Jean-Michel Bismut Publisher: Princeton University Press Publication Date: 28-AUG-2011 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: Hypoelliptic Laplacian and Orbital Integrals (AM-177) This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. It is essentially the weighted sum of a harmonic oscillator along the fiber of the tangent bundle, and of the generator of the geodesic flow. In this book, semisimple orbital integrals associated with the heat kernel of the Casimir operator are shown to be invariant under a suitable hypoelliptic deformation,...
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6. |  By: Steven Strogatz Publisher: Princeton University Press Publication Date: 03-AUG-2009 Insert Date: 03-OCT-2011 Slots: 1.0 | Overview: The Calculus of Friendship The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math...
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7. |  Technical Mathematics with Calculus, Sixth Edition By: Paul A. Calter, MSME, MFA; Michael A. Calter, Ph.D. Publisher: John Wiley & Sons Publication Date: 12-APR-2011 Insert Date: 16-APR-2011 Slots: 1.0 | Overview: Technical Mathematics with Calculus, Sixth Edition
This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed.
The authors continue to provide real-world, technical applications that promote intuitive?reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need...
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8. |  By: Debra Anne Ross Publisher: Course Technology PTR Publication Date: 01-JUN-2009 Insert Date: 21-FEB-2010 Slots: 1.0 | Overview: Master Math: Calculus Get ready to master the principles and operations of calculus! Master Math: Calculus is a comprehensive reference guide that explains and clarifies the principles of calculus in a simple, easy-to-follow style and format. Beginning with the most basic fundamental topics and progressing through to the more advanced, the book helps clarify calculus using step-by-step procedures and solutions, along with examples and applications. A complete table of contents and a comprehensive index enable you to quickly find specific topics, and the approachable style and format facilitate an understanding of...
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9. |  By: Debra Anne Ross Publisher: Course Technology PTR Publication Date: 01-MAY-2009 Insert Date: 05-JAN-2010 Slots: 1.0 | Overview: Master Math: Pre-Calculus Get ready to master the principles and formulas of pre-calculus! Master Math: Pre-Calculus is a comprehensive reference guide that explains and clarifies pre-calculus and introductory calculus principles in a simple, easy-to-follow style and format. Beginning with the most basic fundamental topics and progressing through to the more advanced topics that will help prepare you for introductory calculus, the book helps clarify pre-calculus using step-by-step procedures and solutions, along with examples and applications. A complete table of contents and a comprehensive index enable you to...
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10. |  By: Hiroyuki Kojima; Shin Togami; Becom Co., Ltd. Publisher: No Starch Press Publication Date: 19-AUG-2009 Insert Date: 11-NOV-2009 Slots: 1.0 | Overview: The Manga Guide to Calculus
Noriko is just getting started as a junior reporter for the
Asagake Times
. She wants to cover the hard-hitting issues,
like world affairs and politics, but does she have the smarts for
it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is
here to teach her how to analyze her stories with a mathematical
eye.
In
The Manga Guide to Calculus
, you'll follow along with
Noriko as she learns that calculus is more than just a class
designed to weed out would-be science majors. You'll see that
calculus is a useful way to understand the patterns in physics,
economics, and...
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