Calculus and Analysis

• Airy Functions and Applications to Physics, by Olivier Vallée and Manuel Soares. Reviewed by Warren Johnson
  
• Applied Mathematics: Body and Soul (3 volumes), by K. Eriksson, D. Estep, and C. Johnson. Reviewed by P. N. Ruane
  
• Applied Partial Differential Equations, Second Edition, by J. David Logan. Briefly noted
  
• Applied Vector Analysis, by Matiur Rahman and Isaac Mulolani. Briefly noted.
  
• Basic Real Analysis, by Houshang H. Sohrab. Reviewed by Underwood Dudley
  
• Beginning Functional Analysis, by Karen Saxe. Reviewed by Robert W. Vallin
  
• Calculus, by Elliot C. Gootman. Reviewed by Steve Benson
  
• Calculus Mysteries & Thrillers, by R. Grant Woods. Reviewed by Jeremy Case
  
• The Calculus of Variations, by Bruce van Brunt. Briefly noted
  
• Calculus: Concepts & Connections, by Robert T. Smith and Roland B. Minton. Briefly noted
  
• Calculus: Problems and Solutions, by A. Ginzburg. Briefly noted
  
• Calculus: The Elements, by Michael Comenetz. Briefly noted
  
• The Cauchy-Schwarz Master Class, by J. Michael Steele. Reviewed by Leo Livshits
  
• Celestial Encounters: The Origins of Chaos and Stability, by Florin Diacu and Philip Holmes. Briefly noted.
  
• Classical and Modern Fourier Analysis, by Loukas Grafakos. Reviewed by Kenneth A. Ross
  
• A Companion to Analysis: A Second First and First Second Course in Analysis, by T. W. Körner. Reviewed by Kenneth A. Ross
  
• Complex Analysis, by John M. Howie. Reviewed by Michael Berg
  
• Complex Analysis: The Geometric Viewpoint, Second Edition, by Steven G. Krantz. Reviewed by Bogdan D. Suceavă
  
• Computational Excursions in Analysis and Number Theory, by Peter Borwein. Reviewed by Charles Ashbacher
  
• Differential Equations: An Introduction with Mathematica, Second Edition, by Clay C. Ross. Briefly noted.
  
• Differential Equations, Dynamical Systems, and an Introduction to Chaos, by Morris Hirsch, Stephen Smale, and Robert L. Devaney. Briefly noted
  
• Differential Equations: Theory, Technique, and Practice, by George F. Simmons and Steven G. Krantz. Reviewed by William J. Satzer
  
• Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis, by Felix Klein. Briefly noted
  
• Evaluating Derivatives, by Andreas Griewank. Reviewed by Dan Kalman
  
• Foundations of the Differential Calculus, by Leonhard Euler, translated by John D. Blanton. Briefly noted.
  
• Fourier Analysis: An Introduction, by Elias M. Stein and Rami Shakarchi. Briefly noted
  
• Fourier Series, by Rajendra Bhatia. Reviewed by Brandy J. Lipton
  
• Fractals and Chaos: The Mandelbrot Set and Beyond, by Benoit B. Mandelbrot. Reviewed by Mihaela Poplicher
  
• From Calculus to Chaos, by David Acheson. Briefly noted.
  
• Geometrical Vectors, by Gabriel Weinreich. Reviewed by Fernando Q. Gouvêa
  
• H-Transforms: Theory and Applications, by Anatoly A. Kilbas and Megumi Saigo. Reviewed by Warren Johnson
  
• A Hitchhiker's Guide to the Calculus, by Michael Spivak. Reviewed by Fernando Q. Gouvêa
  
• How to Ace Calculus: The Streetwise Guide, by Colin Adams, Abigail Thompson, and Joel Hass. Reviewed by Steve Benson
  
• How to Ace the Rest of Calculus: The Streetwise Guide, by Colin Adams, Abigail Thompson, and Joel Hass. Reviewed by Kevin Anderson
  
• Inequalities from Complex Analysis, by John P. D'Angelo. Reviewed by Jeffrey Nunemacher
  
• Instabilities, Chaos, and Turbulence: An Introduction to Nonlinear Dynamics and Complex Systems, by Paul Manneville. Briefly noted
  
• Integration Theory: A Second Course, by Martin Väth. Briefly noted.
  
• Introduction to Maximum Principles and Symmetry in Elliptic Problems, by L. E. Fraenkel. Briefly noted.
  
• Introduction to the Calculus of Variations, by Bernard Dacorogna. Reviewed by Michael Berg
  
• An Introduction to the Mathematical Theory of Waves, by Roger Knobel. Reviewed by Mark McKibben
  
• Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals, by George Boros and Victor H. Moll. Briefly noted
  
• James Stirling's Methodus Differentialis: An Annotated Translation of Stirling's Text, by Ian Tweddle. Briefly noted
  
• Lectures on Ordinary Differential Equations, by Witold Hurewicz. Briefly noted.
  
• Lectures on the Icosahedron, by Felix Klein. Briefly noted
  
• The Legacy of Niels Henrik Abel, ed. by Olav Arnfinn Laudal and Ragni Piene. Briefly noted
  
• Math Talks for Undergraduates, by Serge Lang. Reviewed by Richard K. Guy
  
• Maxima and Minima Without Calculus, by Ivan Niven. Reviewed by Kara Shane Colley
  
• Misteaks ... and how to find them before the teacher does... , by Barry Cipra. Reviewed by Antonella Cupillari
  
• The New Shepherd's Lamp, by Jean-Pierre Bourgignon, François Tisseyre, Claire Weingarten. Briefly noted.
  
• Non-Euclidean Geometry in the Theory of Automorphic Functions, by Jacques Hadamard, edited by Jeremy J. Gray and Abe Shenitzer. Briefly noted.
  
• The Number π, by Pierre Eymard and Jean-Pierre Lafon. Reviewed by Henry Ricardo
  
• Ordinary Differential Equations: A Brief Eclectic Tour, by David A. Sánchez. Reviewed by Henry Ricardo
  
• Ordinary Differential Equations in Theory and Practice, by Robert Mattheij and Jaap Molenaar. Briefly noted
  
• A Panorama of Harmonic Analysis, by Steven G. Krantz. Reviewed by Stacy G. Langton
  
• Partial Differential Equations: Analytical and Numerical Methods, by Mark S. Gockenbach. Reviewed by Maeve L. McCarthy
  
• Pi: A Source Book, Third Edition, ed. by Lennart Berggren, Jonathan Borwein, and Peter Borwein. Briefly noted
  
• Pi Unleashed, by by Jörg Arndt and Christoph Haenel. Reviewed by Carl D. Mueller
  
• Practical Analysis in One Variable, by Donald Estep. Reviewed by Mihaela Poplicher
  
• Problems in Mathematical Analysis I, by W. J. Kaczor and M. T. Nowak. Briefly noted.
  
• Problems in Mathematical Analysis II: Continuity and Differentiation, by W.J. Kaczor and M.T. Nowak. Reviewed by Morteza Seddighin
  
• Real Analysis - A Historical Approach, by Saul Stahl. Reviewed by Ioana Mihaila
  
• Real Infinite Series, by Daniel D. Bonar and Michael J. Khoury. Reviewed by Underwood Dudley
  
• Real-Variable Methods in Harmonic Analysis, by Alberto Torchinsky. Reviewed by Kenneth A. Ross
  
• Resources for the Study of Real Analysis, by Robert L. Brabenec. Reviewed by Ioana Mihaila
  
• Revolutions in Differential Equations, ed. by Michael J. Kallaher. Reviewed by Jan E. Holly
  
• The Riemann Zeta-Function, by Aleksandar Ivic. Briefly noted
  
• Six Themes on Variation, ed. by Robert Hardt. Reviewed by Ed Sandifer
  
• A Tour of the Calculus, by David Berlinski. Reviewed by Fernando Q. Gouvêa
  
• Understanding Analysis, by Stephen D. Abbott. Reviewed by Steve Kennedy
  
• Vector Analysis, by Klaus Jänich. Briefly noted.
  
• When Least is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible, by Paul Nahin. Reviewed by Bonnie Shulman
  
• Working Analysis, by Jeffery Cooper. Reviewed by Warren Johnson