Victor H. Moll's Books

New mathematics often comes about by probing what is already known. Mathematicians will change the parameters in a familiar calculation or explore the essential ingredients of a classic proof. Almost magically, new ideas emerge from this process. This book examines elementary functions, such as those encountered in calculus courses, from this point of view of experimental mathematics. The focus is on exploring the connections between these functions and topics in number theory and combinatorics. There is also an emphasis throughout the book on how current mathematical software can be used to discover and interesting properties of these functions. The book provides a transition between elementary mathematics and more advanced topics, trying to make this transition as smooth as possible. Many topics occur in the book, but they are all part of a bigger picture of mathematics. By delving into a variety of them, the reader will develop this broad view. The large collection of problems is an essential part of the book. The problems vary from routine verifications of facts used in the text to the exploration of open questions. Book jacket.

An introductory 1997 account in the style of the original discoverers, treating the fundamental themes even-handedly.

A Guide to the Evaluation of IntegralsSpecial Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses Mathematica to verify the formulas. You will discover the bea

With the continued advance of computing power and accessibility, the view that "real mathematicians don't compute" no longer has any traction for a newer generation of mathematicians. The goal in this book is to present a coherent variety of accessible examples of modern mathematics where intelligent computing plays a significant role and in so doi

Sternberg's Diagnostic Surgical Pathology is a flagship book in pathology. This classic 2-volume reference presents advanced diagnostic techniques and the latest information on all currently known diseases. The book emphasizes the practical differential diagnosis of the surgical specimen while keeping to a minimum discussion of the natural history of the disease, treatment and autopsy findings. Contributors are asked to provide their expert advice on the diagnostic evaluation of every type of specimen from every anatomic site. This approach distinguishes it and provides a style of a personal consultation.

This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.

Reconstruction of a function from data of integrals is used for problems arising in diagnostics, including x-ray, positron radiography, ultrasound, scattering, sonar, seismic, impedance, wave tomography, crystallography, photo-thermo-acoustics, photoelastics, and strain tomography. Reconstruction from Integral Data presents both long-standing and r

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book

This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.

Book's by Victor H. Moll

Numbers and Functions

Numbers and Functions

Elliptic Curves

Elliptic Curves

Special Integrals of Gradshteyn and Ryzhik

Special Integrals of Gradshteyn and Ryzhik

Experimental Mathematics in Action

Experimental Mathematics in Action

Sternberg's Diagnostic Surgical Pathology

Sternberg's Diagnostic Surgical Pathology

Irresistible Integrals

Irresistible Integrals

Reconstruction from Integral Data

Reconstruction from Integral Data

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

Elements of Quasigroup Theory and Applications

Elements of Quasigroup Theory and Applications

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